It is shown that under certain conditions the regularization of a pair of regular incidence polytopes is not itself an incidence polytope. Thus there exist regular incidence quasipolytopes which are not incidence polytopes.
Regular incidence quasi-polytopes and regular maps
β Scribed by Adam Stephanides
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 511 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0046-5755
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β¦ Synopsis
We define incidence quasi-polytopes and give a procedure for constructing regular incidence quasi-polytopes. We use this procedure to construct a finite map of type {e, 6} for all even ~ and 6, and infinitely many such maps when ~ or 6 is divisible by 4 and both are greater than or equal to 4.
π SIMILAR VOLUMES
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