User: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" or "rectangular images drawn using two parallel straight lines". The rectangular images drawn below are examples.

Knot 3_1. Back to 3_1

Knot 8_21. Back to 8_21

Knot K11n42. Back to K11n42

Link L11a1. Back to L11a1

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).

(a): The Kinoshita-Terasaka knot

(b): Checker coloring

(c): Illustration showing the method of deformation

(d): Checker coloring after deformation

(e): The image obtained by transforming the Kinoshita-Terasaka knot

(f): New image obtained from the previous image (e) by the operation of transforming into a square shape

(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