Klein quartic
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In hyperbolic geometry, the Klein quartic, named after Felix Klein, is a compact Riemann surface of genus 3 with the highest possible order automorphism group for this genus, namely order 168 orientat
The Eightfold Way – sculpture by Helaman Ferguson and accompanying book.
Möbius transformation
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In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form f = a z + b c z + d of one complex variable z; here the coefficients a, b, c, d are co
Klein quartic
…the heptagonal tiling, and can be realized as follows. Considering the action of SL(2, R) on the upper half-plane model H2 of the hyperbolic plane by Möbius transformations, the affine Klein quartic can be realized as the quotient Γ(7)\H2. (Here Γ(7) is the congruence subgroup of SL(2, Z) consisting of matrices that are…
Mobius Identity
Mobius Small Neg Elliptical
Mobius Large Pos Elliptical
Mobius Small Neg Hyperbolic