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Symmetric tessellations on euclidean space-forms

Hartley, MI; McMullen, P; Schulte, E; (1999) Symmetric tessellations on euclidean space-forms. CAN J MATH , 51 (6) 1230 - 1239.

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Abstract

It is shown here that,for n greater than or equal to 2,the n-torus is the only-n-dimensional compact euclidean space-form which can admit a regular or chiral tessellation. Further, sum a tessellation can only be chiral if n = 2.

Type: Article
Title: Symmetric tessellations on euclidean space-forms
Keywords: polyhedra and polytopes, regular figures, division of space, POLYTOPES
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/104965
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