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

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

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