Generating combinatorial complexes of polyhedral type
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- by Egon Schulte PDF
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Abstract:
The paper describes a method for generating combinatorial complexes of polyhedral type. Building blocks ${\mathbf {B}}$ are implanted into the maximal simplices of a simplicial complex ${\mathbf {C}}$, on which a group operates as a combinatorial reflection group. Of particular interest is the case where ${\mathbf {B}}$ is a polyhedral block and ${\mathbf {C}}$ the barycentric subdivision of a regular incidence-polytope ${\mathbf {K}}$ together with the action of the automorphism group of ${\mathbf {K}}$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 309 (1988), 35-50
- MSC: Primary 52A25; Secondary 05B25, 51M20
- DOI: https://doi.org/10.1090/S0002-9947-1988-0933324-9
- MathSciNet review: 933324