Abstract
The first chiral polytope of full rank known was Roli’s cube, a rank 4 polytope discovered in 2014. Since then, other chiral polytopes of rank 4 have been studied. Here we present the first known chiral 5-polytope of full rank. Its 2-skeleton is the same as that of the Euclidean tessellation {3,4,3,3} with 24-cells.
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