A census of regular 3-polystroma arising from honeycombs

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Abstract

A regular n-polystroma is a combinatorial structure that locally behaves like an n-dimensional regular honeycomb. We develop a list of 3-polystroma that arise naturally from 3-dimensional regular honeycombs. Most of the polystroma presented here have not appeared previously in the literature.

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Research supported by NSERC Canada Grant A5047. Now at Department of Computer Science, University of Waterloo, Waterloo, Canada.

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Now at Department of Mathematics, University of Toronto, Toronto, Canada.