Deltopyramidal hecatonenneacontadichoron

The rhombipyramidal hecatonenneacontadichoron is a convex isochoric polychoron with 192 kite pyramids as cells. It can be obtained as the dual of the prismatorhombated tesseract.

It can also be constructed as the convex hull of a tesseract, a hexadecachoron, an icositetrachoron (as a rectified hexadecachoron), and a rectified tesseract. If the tesseract has edge length 1, the hexadecachoron has edge length $$\frac{5+4\sqrt2}{7} ≈ 1.52241$$, the icositetrachoron has edge length $$\frac{6+5\sqrt2}{14} ≈ 0.93365$$, and the rectified tesseract has edge length $$\frac{1+\sqrt2}{3} ≈ 0.80474$$.