Combinatorics of Antiprism Triangulations

@article{Athanasiadis2022CombinatoricsOA,
  title={Combinatorics of Antiprism Triangulations},
  author={Christos A. Athanasiadis and Jan-Marten Brunink and Martina Juhnke-Kubitzke},
  journal={Discret. Comput. Geom.},
  year={2022},
  volume={68},
  pages={72-106}
}
The antiprism triangulation provides a natural way to subdivide a simplicial complex $\Delta$, similar to barycentric subdivision, which appeared independently in combinatorial algebraic topology and computer science. It can be defined as the simplicial complex of chains of multi-pointed faces of $\Delta$, from a combinatorial point of view, and by successively applying the antiprism construction, or balanced stellar subdivisions, on the faces of $\Delta$, from a geometric point of view. This… 

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