Knot Atlas - User contributions [en]

User:Knotopologynn

2021-06-12T08:31:06Z

Knotopologynn:

I am a Japanese. My real name is Takahiro NAGASHIMA (長島隆廣, 長島：NAGASHIMA, 隆廣：Takahiro).
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg|
text = An image of the Kinoshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

* e-mail address: texnagashima@kuc.biglobe.ne.jp

* e-mail address: knotopologynn.was.takahiro@gmail.com

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] (PDF file) 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]] (PDF file)

User:Knotopologynn

2021-06-12T08:29:09Z

Knotopologynn: 訂正！

I am a Japanese. My real name is Takahiro NAGASHIMA (長島隆廣, 長島：NAGASHIMA, 隆廣：Takahiro).
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg|
text = An image of the Kinoshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

* e-mail address: texnagashima@kuc.biglobe.ne.jp

* mail address: knotopologynn.was.takahiro@gmail.com

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] (PDF file) 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]] (PDF file)

User:Knotopologynn

2021-04-18T02:23:51Z

Knotopologynn: 訂正

I am a Japanese. My real name is Takahiro NAGASHIMA (長島隆廣, 長島：NAGASHIMA, 隆廣：Takahiro).
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg|
text = An image of the Kinoshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

* e-mail address : texnagashima@kuc.biglobe.ne.jp

* mail address to google: knotopologynn.was.takahiro@gmail.com

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] (PDF file) 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]] (PDF file)

User:Knotopologynn

2020-10-08T20:52:02Z

Knotopologynn:

I am a Japanese. My real name is Takahiro NAGASHIMA (長島隆廣, 長島：NAGASHIMA, 隆廣：Takahiro).
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg|
text = An image of the Kinoshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

* e-mail address : texnagashima@kuc.biglobe.ne.jp

* google mail address: knotopologynn.was.takahiro@gmail.com

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] (PDF file) 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]] (PDF file)

User:Knotopologynn

2020-05-28T01:47:21Z

Knotopologynn: 本名追加！

I am a Japanese. My real name is Takahiro NAGASHIMA (長島隆廣, 長島：NAGASHIMA, 隆廣：Takahiro).
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg|
text = An image of the Kinoshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

* An e-mail address of Knotopologynn is as follows: texnagashima@kuc.biglobe.ne.jp

* google mail address: knotopologynn.was.takahiro@gmail.com

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] (PDF file) 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]] (PDF file)

User:Knotopologynn

2020-02-24T07:03:43Z

Knotopologynn: 誤字を修正す！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg|
text = An image of the Kinoshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

* An e-mail address of Knotopologynn is as follows: texnagashima@kuc.biglobe.ne.jp

* google mail address: knotopologynn.was.takahiro@gmail.com

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] (PDF file) 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]] (PDF file)

User:Knotopologynn

2020-02-23T01:39:16Z

Knotopologynn:

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg| 
text = An image of the Koshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

* An e-mail address of Knotopologynn is as follows: texnagashima@kuc.biglobe.ne.jp

* google mail address: knotopologynn.was.takahiro@gmail.com

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] (PDF file) 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]] (PDF file)

User:Knotopologynn

2020-02-23T01:34:07Z

Knotopologynn: google mail address を追加記入！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg| 
text = An image of the Koshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

* An e-mail address of Knotopologynn is as follows: texnagashima@kuc.biglobe.ne.jp

* google mail address: knotopologynn.was.takahiro@gmail.com

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-19T07:17:49Z

Knotopologynn: 英文を変更す！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg| 
text = An image of the Koshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-19T06:24:40Z

Knotopologynn: 英文の直し！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" or "rectangular images drawn using two parallel straight lines". The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg| 
text = An image of the Koshita-Terasaka knot drawn by another method
}}
|}
The process of making "Canal-like images" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-19T01:34:24Z

Knotopologynn: 新しい画像を表示す！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" or "rectangular images drawn using two parallel straight lines". The rectangular images drawn below are examples.
{|
|- valign=top
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-Kinoshita-Terasaka-two-lines.jpg| 
text = An image of the Koshita-Terasaka knot drawn by another method
}}
|}
The process of making "rectangular images drawn using two parallel straight lines" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

File:Knot-Kinoshita-Terasaka-two-lines.jpg

2020-02-17T06:57:37Z

Knotopologynn: 四つ池の新しい樹下･寺阪結び目の画像をアップロード！

四つ池の新しい樹下･寺阪結び目の画像をアップロード！

User:Knotopologynn

2020-02-17T06:23:18Z

Knotopologynn: 新しい英文を追加！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" or "rectangular images drawn using two parallel straight lines". The rectangular images drawn below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}
The process of making "rectangular images drawn using two parallel straight lines" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

私自身は，コンピューター・プログラムが創れません．

I myself cannot create computer programs.

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-17T06:11:43Z

Knotopologynn: 新しい英文を追加！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" or "rectangular images drawn using two parallel straight lines". The rectangular images drawn below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}
The process of making "rectangular images drawn using two parallel straight lines" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

現在は，"Canal-like images"を得る為のコンピューター・プログラムが，世界中には何処にも存在しません．
この事実によって，"Canal-like images"を得る為のコンピューター・プログラムを新しく創れば，それは，あなた自身の輝かしい実績になります．

At present, there are no computer programs anywhere in the world for obtaining "Canal-like images".

With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement.

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-17T01:53:44Z

Knotopologynn: 説明文を追加！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images" or "rectangular images drawn using two parallel straight lines". The rectangular images drawn below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}
The process of making "rectangular images drawn using two parallel straight lines" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}
全ての結び目と絡み目は，"Canal-like images"に変形する事が出来ます，そして，その変形法が，下記の論文に書かれています．
All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper.

上記の(a)から(g)までの詳しい方法が，下記の論文"結び目と絡み目の正則表示に関する規則的な描画法"に書かれています．
The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links".

論文：[結び目と絡み目の正則表示に関する規則的な描画法]："Regular Drawing Method for Regular Presentation of Knots and Links"
https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-17T01:15:15Z

Knotopologynn: 英文の誤記を修正す！

User:Knotopologynn

2020-02-16T08:11:56Z

Knotopologynn: 説明文を追加す！

File:Knots 2006 Knotopologynn.pdf

2020-02-16T01:07:11Z

Knotopologynn: 論文タイトルを追加記入！

論文タイトル：「3-正則平面グラフを用いた結び目の構成に関する定理」。
結び目と絡み目の2重性並行表示を得る描画法を詳細に記述した論文。

File:Knots 2005tn Knotopologynn.pdf

2020-02-16T00:59:43Z

Knotopologynn: 論文タイトルを追加記入！

論文タイトル：「結び目と絡み目の正則表示に関する規則的な描画法」。
結び目と絡み目の2重性並行表示を得る描画法を記述した論文。

User:Knotopologynn

2020-02-15T20:31:16Z

Knotopologynn: 英文を追加！

User:Knotopologynn

2020-02-15T07:01:59Z

Knotopologynn: 英文の追加！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The rectangular images drawn below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}
The process of making "rectangular images drawn using two parallel straight lines" is drawn below from image (a) to image (g).
{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-15T06:20:23Z

Knotopologynn: 英文の直し！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The rectangular images drawn below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-15T01:47:07Z

Knotopologynn: TEST!

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
|- valign=top
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-13T20:22:47Z

Knotopologynn: 誤字を修正す！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-13T19:51:09Z

Knotopologynn: 表示されない部分のソースを削除！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Koshita-Terasaka knot
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-13T08:13:00Z

Knotopologynn:

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = KT_Knot_checker.jpg|
text = KT_Knot_checker.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Koshita-Terasaka knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

File:KT knot checker.jpg

2020-02-13T07:15:16Z

Knotopologynn: 先にアップロードしたJPGファイルが使えないので，名前を変えての再アップロードした！

先にアップロードしたJPGファイルが使えないので，名前を変えての再アップロードした！

User:Knotopologynn

2020-02-13T07:06:03Z

Knotopologynn: TEST

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = KT-Knot+checker.jpg|
text = KT-Knot+checker.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Koshita-Terasaka knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

File:KT-knot+checker.jpg

2020-02-13T06:42:27Z

Knotopologynn: 画像を追加す！

画像を追加す！

File:Bbb KT knot.jpg

2020-02-13T01:41:38Z

Knotopologynn: 画像を追加す！

画像を追加す！

User:Knotopologynn

2020-02-13T01:27:30Z

Knotopologynn:

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Koshita-Terasaka knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-13T01:20:33Z

Knotopologynn: 画像を変更す！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb-KT-Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Koshita-Terasaka knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

File:Bb-KT-knot.jpg

2020-02-13T01:13:24Z

Knotopologynn: 画像を追加す！

画像を追加す！

User:Knotopologynn

2020-02-12T07:38:00Z

Knotopologynn: 画像のタイトルを入力！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Koshita-Terasaka knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = (g): The Kinoshita-Terasaka knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T07:32:57Z

Knotopologynn: 画像のタイトルを入力！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Koshita-Terasaka knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T06:58:06Z

Knotopologynn: 画像のタイトルを入力！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = (e): The image obtained by transforming the Koshita-Terasaka knot..
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T06:28:11Z

Knotopologynn: 画像のタイトルを入力！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = (d): Checker coloring after deformation.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T06:14:24Z

Knotopologynn: 画像のタイトルを入力！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = (c): Illustration showing the method of deformation.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T05:57:59Z

Knotopologynn: 画像のタイトルを入力！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = (b): Checker coloring.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = cc_KT_Knot.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T05:48:13Z

Knotopologynn: 画像のタイトルを入力！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = (a): The Kinoshita-Terasaka knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = bb_KT_Knot.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = cc_KT_Knot.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T02:03:14Z

Knotopologynn: 英文を追加す！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-like images". The square images shown below are examples.
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = aa_KT_Knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = bb_KT_Knot.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = cc_KT_Knot.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T01:05:29Z

Knotopologynn: 画像を画面上で移動す！

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-knots" or "Canal-links".
{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = aa_KT_Knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = bb_KT_Knot.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = cc_KT_Knot.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T00:57:48Z

Knotopologynn:

I am a Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-knots" or "Canal-links".

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = aa_KT_Knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = bb_KT_Knot.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = cc_KT_Knot.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}
論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-12T00:44:50Z

Knotopologynn: 画像を追加す！

I am Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-knots" or "Canal-links".

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = aa_KT_Knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = bb_KT_Knot.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = cc_KT_Knot.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
{{Knot View Template|
image = gg_KT_Knot.jpg|
text = gg_KT_Knot.
}}
|}

{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}
論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-11T21:41:38Z

Knotopologynn: 図形を追加す！

I am Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-knots" or "Canal-links".

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = aa_KT_Knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = bb_KT_Knot.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = cc_KT_Knot.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
{{Knot View Template|
image = ee_KT_Knot.jpg|
text = ee_KT_Knot.
}}
{{Knot View Template|
image = ff_KT_Knot.jpg|
text = ff_KT_Knot.
}}
|}

{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}
論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

User:Knotopologynn

2020-02-11T07:26:33Z

Knotopologynn: test

I am Japanese.
A regular image figure of knots and links as shown in below
is contribution by Knotopologynn.
These images are called "Canal-knots" or "Canal-links".

{|
{{Knot View Template|
image = aa_KT_Knot.jpg|
text = aa_KT_Knot.
}}
{{Knot View Template|
image = bb_KT_Knot.jpg|
text = bb_KT_Knot.
}}
{{Knot View Template|
image = cc_KT_Knot.jpg|
text = cc_KT_Knot.
}}
{{Knot View Template|
image = dd_KT_Knot.jpg|
text = dd_KT_Knot.
}}
|}

{|
{{Knot View Template|
image = Knot-31.jpg|
text = Knot 3_1. <noinclude>Back to [[3_1]]</noinclude> 
}}
{{Knot View Template|
image = Knot-821.jpg|
text = Knot 8_21. <noinclude>Back to [[8_21]]</noinclude> 
}}
{{Knot View Template|
image = Knot-K11n42.jpg|
text = Knot K11n42. <noinclude>Back to [[K11n42]]</noinclude> 
}}
{{Knot View Template|
image = Link-L11a1.jpg|
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude> 
}}
|}
論文：[結び目と絡み目の正則表示に関する規則的な描画法]： https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358

An e-mail address of Knotopologynn is as follows:
texnagashima@kuc.biglobe.ne.jp

[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] 

[[Media：Knots_2006_Knotopologynn.pdf.ogg]]

File:Gg KT Knot.jpg

2020-02-11T06:05:40Z

Knotopologynn: 前図を見易く直線化させた樹下･寺阪結び目の図形

前図を見易く直線化させた樹下･寺阪結び目の図形

File:Ff KT Knot.jpg

2020-02-11T06:05:39Z

Knotopologynn: 前図を方形に変化させた図

前図を方形に変化させた図

File:Ee KT Knot.jpg

2020-02-11T06:05:39Z

Knotopologynn: 変形後，チェッカーボード彩色を消した図

変形後，チェッカーボード彩色を消した図

File:Dd KT Knot.jpg

2020-02-11T06:05:39Z

Knotopologynn: 変形後のチェッカーボード彩色図

変形後のチェッカーボード彩色図