User:Knotopologynn: Difference between revisions
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I am a Japanese. My real name is Takahiro NAGASHIMA (長島 隆廣, 長島：NAGASHIMA, 隆廣：Takahiro). |
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I am Japanese. |
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A regular image figure of knots and links as shown in below |
A regular image figure of knots and links as shown in below |
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is contribution by Knotopologynn. |
is contribution by Knotopologynn. |
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These images are called "Canal-like images" only for this occasion. The rectangular images drawn below are examples. |
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A name of these images is "canal". |
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{| |
{| |
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|- valign=top |
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{{Knot View Template| |
{{Knot View Template| |
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image = Knot-31.jpg| |
image = Knot-31.jpg| |
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image = Link-L11a1.jpg| |
image = Link-L11a1.jpg| |
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text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude><br> |
text = Link L11a1. <noinclude>Back to [[L11a1]]</noinclude><br> |
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}} |
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{{Knot View Template| |
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image = Knot-Kinoshita-Terasaka-two-lines.jpg|<!-- 他の方法で描いた 樹下-寺阪結び目の画像 --> |
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text = An image of the Kinoshita-Terasaka knot drawn by another method |
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}} |
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|} |
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The process of making "Canal-like images" is drawn below from image (a) to image (g). |
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{| |
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|- valign=top |
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{{Knot View Template| |
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image = aa_KT_Knot.jpg| |
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text = (a): The Kinoshita-Terasaka knot |
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}} |
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{{Knot View Template| |
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image = bb_KT_Knot.jpg| |
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text = (b): Checker coloring |
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}} |
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{{Knot View Template| |
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image = cc_KT_Knot.jpg| |
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text = (c): Illustration showing the method of deformation |
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}} |
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{{Knot View Template| |
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image = dd_KT_Knot.jpg| |
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text = (d): Checker coloring after deformation |
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}} |
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{{Knot View Template| |
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image = ee_KT_Knot.jpg| |
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text = (e): The image obtained by transforming the Kinoshita-Terasaka knot |
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}} |
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{{Knot View Template| |
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image = ff_KT_Knot.jpg| |
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text = (f): New image obtained from the previous image (e) by the operation of transforming into a square shape |
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}} |
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{{Knot View Template| |
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image = gg_KT_Knot.jpg| |
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text = (g): The Kinoshita-Terasaka knot |
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}} |
}} |
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|} |
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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． |
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An e-mail address of Knotopologynn is as follows: |
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All knots and links can be transformed into "Canal-like images", and the transformations are described in the following paper. |
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An image of all knots and links would be a regular image figure like these |
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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． |
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in the future. |
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The detailed method from (a) to (g) above is described in the following paper "Regular Drawing Method for Regular Presentation of Knots and Links". |
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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" |
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https://researchmap.jp/multidatabases/multidatabase_contents/detail/263160/c1f5868cc1bf2c390ea0a94a9cd44476?frame_id=539358 |
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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． |
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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． |
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At present, there are no computer programs anywhere in the world for obtaining "Canal-like images". |
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With this fact, if you create a new computer program to get "Canal-like images", it will be your own glorious achievement. |
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私自身は，コンピューター・プログラムが創れません． |
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I myself cannot create computer programs. |
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* e-mail address: knotopologynn.was.takahiro@gmail.com |
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[[Media：knots_2005tn_Knotopologynn.pdf.ogg]] (PDF file) <!-- PDFファイルには[[Media：File.ogg]]が使えないのか？ --> |
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[[Media：Knots_2006_Knotopologynn.pdf.ogg]] (PDF file) |
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Latest revision as of 03:31, 12 June 2021
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.
 |
 |
 |
 |
The process of making "Canal-like images" is drawn below from image (a) to image (g).
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)
