Great pseudorhombic disicositetrachoron

{{Infobox polytope The great pseudorhombic disicositetrachoron, or gapirdy, is a nonconvex uniform polychoron that consists of 24 quasitruncated hexahedra, 96 triangular prisms, and 24 quasitruncated cuboctahedra. Two quasitruncated hexahedra, two triangular prisms, and four quasitruncated cuboctahedra join at each vertex.
 * img
 * dim = 4
 * type = Uniform
 * obsa = Gapirdy
 * off=Gapirdy.off
 * symmetry = F{{sub|4}}, order 1152
 * army = Srico
 * regiment = Wavaty
 * verf = Isosceles triangular retroprism, edge lengths 1 (2), $\sqrt{2}$ (4), $\sqrt{3}$ (2), and $\sqrt{2–√2}
 * cells = 96 triangular prisms, 24 quasitruncated hexahedra,
 * faces = 192 triangles, 288 squares, 96 hexagons, 144 octagrams
 * edges = 288+576
 * vertices = 288
 * circum = $$\sqrt{4-2\sqrt2} \approx 1.08239$$
 * hypervolume = $$8(25-16\sqrt2) ≈ 1898066$$
 * dich = Quitco–6–quitco: 120°
 * dich2 = Quith–8/3–quitco: 90°
 * dich3 = Quitco–4–trip: $$\arccos\left(\frac{\sqrt3}{3}\right) ≈ 54.73561°$$
 * dich4 = Quith–3–trip: 30°
 * density =
 * euler = 0
 * pieces =
 * loc =
 * conjugate = Small pseudorhombic disicositetrachoron
 * core=Icositetrachoron
 * convex = No
 * orientable = Yes
 * nat = Tame}$

It can be constructed as the blend of 3 great prismatohexadecadisoctachora. In the process the octahemioctahedron cells blend out.

Vertex coordinates
The vertices are the same as those of the regiment colonel, the sphenoverted trisicositetrachoron.