The median hypersimplex Δ(2k,k) is Minkowski indecomposable, and the hemi-icosahedral Bier sphere admits a 12-vertex polytopal realization in R5.
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Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere
The median hypersimplex Δ(2k,k) is Minkowski indecomposable, and the hemi-icosahedral Bier sphere admits a 12-vertex polytopal realization in R5.