Disprismatointercepted hexacosihecatonicosachoron

Disprismatointercepted hexacosihecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Dapinxhi
Elements
Cells	1200 triangular prisms, 600 octahedra, 720 decagrammic prisms, 120 great dodecicosidodecahedra
Faces	2400+2400 triangles, 1800+3600 squares, 720 pentagrams, 1440 decagrams
Edges	3600+7200
Vertices	3600
Vertex figure	Inverted wedge, edge lengths 1 (4), √2 (6), (√5–1)/2 (1), and √(5–√5)/2 (4)
Measures (edge length 1)
Circumradius	${\sqrt {23-10{\sqrt {5}}}}\approx 0.79958$
Hypervolume	$5{\frac {1723{\sqrt {5}}-3620}{2}}\approx 581.86281$
Dichoral angles	Gaddid–3–oct: $\arccos \left({\frac {\sqrt {7-3{\sqrt {5}}}}{4}}\right)\approx 82.23876^{\circ }$
	Gaddid–5/2–Gaddid: 72°
	Oct–3–trip: $\arccos \left({\frac {{\sqrt {30}}-{\sqrt {6}}}{8}}\right)\approx 67.76124^{\circ }$
	Gaddid–10/3–stiddip: 54°
	Stiddip–4–trip: $\arccos \left({\sqrt {\frac {10-2{\sqrt {5}}}{15}}}\right)\approx 52.62263^{\circ }$
	Stiddip–4–stiddip: $\arccos \left({\frac {2{\sqrt {5}}}{5}}\right)\approx 26.56505^{\circ }$
Related polytopes
Army	Semi-uniform srix
Regiment	Gwavixady
Conjugate	Prismatointercepted prismatohexacosihecatonicosachoron
Abstract & topological properties
Euler characteristic	2520
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The disprismatointercepted hexacosihecatonicosachoron, or dapinxhi, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 great dodecicosidodecahedra, 1200 triangular prisms, and 720 decagrammic prisms. One octahedron, two great dodecicosidodecahedra, two triangular prisms, and four decagrammic prisms join at each vertex.

Vertex coordinates

The vertices are the same as those of the regiment colonel, the great sphenoverted hexacosidishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#289).