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Regular incidence quasi-polytopes and regular maps

✍ Scribed by Adam Stephanides


Publisher
Springer
Year
1989
Tongue
English
Weight
511 KB
Volume
30
Category
Article
ISSN
0046-5755

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✦ 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.


πŸ“œ SIMILAR VOLUMES


On regular incidence quasi-polytopes
✍ Adam Stephanides πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 333 KB

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.

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A Sachs triangulation of a closed surface S is a triangulation T admitting a vertex-labelling 3, in a group G subject to the following conditions: (Sl) For any facial triangle t of Twith vertices x, y and z, either n(x)L(y),l(z)= 1 or L(x)n(z)L(y)=l. (S2) For any g,kG, there exists at most one edge