エッシャーと双曲幾何 - 第２回 #日曜数学会 in 札幌

tsujimotter

2016/09/24 in

(Regular Division)

Douglas Dunham, Some Math Behind M.C. Escher’s Circle Limit Patterns

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958

sgktani , - < > , http://blogs.yahoo.co.jp/tanidr/16215338.html

3 (6,4,2) (6,4)

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1960

1959

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180°

180° 3

(6, 4, 2) – triangle group

1/6

6

1/4

(6, 4, 2) – triangle group

6

4

1/2

(6, 4, 2) – triangle group

6

2

4

(2, 3, ∞) – triangle group

3

2 ∞

SL2(Z)

“triangle group” – Wikipedia

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– tsujimotter

http://tsujimotter.hatenablog.com/entry/fundamental-domain-game

(2, 3, ∞) – triangle group

SL2(Z) S, T

S(z) = -1/zT(z) = z+ 1

SL2(Z)

ver.

http://tsujimotter.info/works/fundamental-domain/disk.html

tsujimotter

(2)

(2) SL2(Z)

By NHK

•  “triangle group” wikipedia •  “fundamental domain” •  “modular group” “modular form” •  “poincare disk” •  “poincare disk 7,3,” •  “the regular division of the plane”

https://people.math.ethz.ch/~pink/ModularCabinet/cabinet.html