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Triangular hyperbolic buildings

Riikka Kangaslampi·Alina Vdovina
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Abstract

We construct triangular hyperbolic polyhedra whose links are generalized 4-gons. The universal cover of those polyhedra are hyperbolic buildings, which appartments are hyperbolic planes tesselated by regular triangles with angles $π/4$. Moreover, the fundamental groups of the polyhedra acts simply transitively on vertices of the buildings.

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Riikka Kangaslampi, Alina Vdovina. 2005-06-30. Triangular hyperbolic buildings. https://arxiv.org/abs/math/0506613

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