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The Archimedean honeycomb duals

Published online by Cambridge University Press:  01 August 2016

Guy Inchbald
Guy Inchbald*
Affiliation:
Park View, Queenhill, Upton-upon-Severn, Worcester WR8 0RE
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Extract

The first part of this article covers some well-known ground in preparation for the second part on the Archimedean honeycomb duals. Mathematically speaking some of this second part is, so far as I know, no more than conjecture: I do not myself know of a proper systematic approach to such honeycombs.

As far as possible I have used names for the polyhedra from standard references (e.g. [1]). But references vary, and I have not found all of them described. In such cases I have tried to choose names which are appropriate and technically correct.

Information

Type
Articles
Information
The Mathematical Gazette , Volume 81 , Issue 491 , July 1997 , pp. 213 - 219
Copyright
Copyright © The Mathematical Association 1997

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References

1. Coxeter, H.S.M., Regular polytopes, Dover, New York (1973).Google Scholar
2. Williams, R., The geometrical foundation of natural structure, Dover, New York (1976).Google Scholar