This paper describes a general criterion for polytopality in maniplexes and polytopes, suggesting broader applications.
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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Cunningham et al. (2025) studied this question.
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