hyperoctahedron

vertex count | 8 edge count | 24 face count | 32 cell count | 16

content | s^4/6≈0.166667 s^4 hyper-surface area | (4 sqrt(2) s^3)/3≈1.88562 s^3 (assuming edge length s)

{3, 3, 4}

16-cell graph

4-cube (polytope in 4-dimensional space)