Transcript
tsujimotter
2016/09/24 in
(Regular Division)
Douglas Dunham, Some Math Behind M.C. Escher’s Circle Limit Patterns
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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
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