Disphenoidal enneacontahexachoron

The disphenoidal enneacontahexachoron is a convex isochoric polychoron with 96 digonal disphenoids as cells. It can be obtained as the dual of the tesseractihexadecachoron.

It can also be obtained as the convex hull of a tesseract and a hexadecachoron, where the edges of the hexadecachoron are $$\frac{5\sqrt2}{4} ≈ 1.76777$$ times the length of those of the tesseract. Varying the hexadecachoron's edge length to be anything between $$\sqrt2 ≈ 1.41421$$ and $$\frac{3\sqrt2}{2} ≈ 2.12132$$ times that of the tesseract gives a fully symmetric variant of this polychoron.

Variations
In addition to the fully symmetric variations, the disphenoidal enneacontahexachoron has isotopic variants with D4 symmetry (called the sphenoidal enneacontahexachoron).