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arXiv · 2506.19334

Polytopality criteria for the mix of polytopes and maniplexes

Gabe Cunningham·Isabel Hubard
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Abstract

The mix of two maniplexes is the minimal maniplex that covers both. This construction has many important applications, such as finding the smallest regular cover of a maniplex. If one of the maniplexes is an abstract polytope, a natural question to ask is whether the mix is also a polytope. We describe here a general criterion for the polytopality of the mix which generalizes several previously-known polytopality criteria.

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Gabe Cunningham, Isabel Hubard. 2025-06-24. Polytopality criteria for the mix of polytopes and maniplexes. https://arxiv.org/abs/2506.19334

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