STAR NON-COMPACT AND COMPACT HYPERBOLIC LENS POLYTOPES

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Valines SRL

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In the present work the authors discuss the construction of star complexes over regular maps on hyperbolic manifolds analogously with the construction of star polytopes over regular maps on two- and three-dimensional spheres. In particular, the construction of star polytopes which correspond to equidistant regular hyperbolic polytopes and their factors (lens polytopes) are considered.

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DAMIAN, F. et al. Star non-compact and compact hyperbolic lens polytopes.In: The Third Conference of Mathematical Society of the Republic of Moldova: dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, 19-23 aug. 2014, Chisinau, Moldova: Proceedings IMCS-50.Ch., 2014, pp.56-59 . ISBN 978-9975-68-244-2

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