# A Zonotope and a Product of Two Simplices with Disconnected Flip Graphs

Discrete & Computational Geometry, Mar 2018

We give an example of a three-dimensional zonotope whose set of tight zonotopal tilings is not connected by flips. Using this, we show that the set of triangulations of $\Delta ^4 \times \Delta ^n$ is not connected by flips for large n. Our proof makes use of a non-explicit probabilistic construction.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2Fs00454-018-9971-6.pdf

Gaku Liu. A Zonotope and a Product of Two Simplices with Disconnected Flip Graphs, Discrete & Computational Geometry, 2018, 1-33, DOI: 10.1007/s00454-018-9971-6