Geometric realizations of abstract regular polyhedra with automorphism group H3

A geometric realization of an abstract polyhedron P is a mapping that sends an i-face to an open set of dimension i. This work adapts a method based on Wythoff construction to generate a full rank realization of an abstract regular polyhedron from its automorphism group Gamma. The method entails fin...

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Bibliographic Details
Main Authors: Loyola, Mark L, Aranas, Jonn Angel L
Format: text
Published: Archīum Ateneo 2020
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Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/143
https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1142&context=mathematics-faculty-pubs
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Institution: Ateneo De Manila University

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