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A triangle tesselation in the hyperbolic plane, drawn in the

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William GOLDMAN, Professor (Full), Ph.D., University of Maryland, College Park, MD, UMD, UMCP, University of Maryland College Park, Department of Mathematics

William GOLDMAN, Professor (Full), Ph.D., University of Maryland, College Park, MD, UMD, UMCP, University of Maryland College Park, Department of Mathematics

Schematic diagram of the discriminant ∆ F with cusped ridge along 0 ×

The projection µ : ∆ F → R 2 close to (0, x 1 ) ∈ R 2 × S where (s 1

A triangle tesselation in the hyperbolic plane, drawn in the

A regular right-angled octagon can also be realized in the tiling of H

William GOLDMAN, Professor (Full), Ph.D., University of Maryland, College Park, MD, UMD, UMCP, University of Maryland College Park, Department of Mathematics

A triangle tesselation in the hyperbolic plane, drawn in the

The projection µ : ∆ F → R 2 close to (0, x 1 ) ∈ R 2 × S where (s 1

Envelopes in S 2 , sketched in the plane: (a) Local configuration of

The projection µ : ∆ F → R 2 close to (0, x 1 ) ∈ R 2 × S where (s 1

William GOLDMAN, Professor (Full), Ph.D., University of Maryland, College Park, MD, UMD, UMCP, University of Maryland College Park, Department of Mathematics

William GOLDMAN, Professor (Full), Ph.D., University of Maryland, College Park, MD, UMD, UMCP, University of Maryland College Park, Department of Mathematics

Envelopes in S 2 , sketched in the plane: (a) Local configuration of

Schematic diagram of the discriminant ∆ F with cusped ridge along 0 ×