Tetrahedral triacosioctacontatetrachoron

The tetrahedral triacosioctacontitetrachoron is a convex isochoric polychoron with 384 irregular tetrahedra as cells. It can be obtained as the dual of the great disprismatotesseractihexadecachoron.

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 $$2\frac{3+8\sqrt2}{17} ≈ 1.68397$$, the icositetrachoron has edge length $$\frac{4+13\sqrt2}{23} ≈ 0.97325$$, and the rectified tesseract has edge length $$2\frac{1+5\sqrt2}{21} ≈ 0.76867$$.