Small cellated icositetrachoric tetracomb

Small cellated icositetrachoric tetracomb

Rank	5
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Scicot
Coxeter diagram	x3o4o3o3x ()
Elements
Tera	24N tetrahedral duoprisms, 32N triangular duoprisms, 12N octahedral prisms, 3N hexadecachora, N icositetrachora
Cells	48N tetrahedra, 96N+96N triangular prisms, 24N octahedra
Faces	96N+96N triangles, 144N squares
Edges	72N+96N
Vertices	24N
Vertex figure	Octahedron atop cube, edge lengths 1 (bases) and √2 (sides)
Related polytopes
Army	Scicot
Regiment	Scicot
Conjugate	Quasicellated icositetrachoric tetracomb
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	U₅
Convex	Yes
Nature	Tame

The small cellated icositetrachoric tetracomb or stericated icositetrachoric tetracomb is a convex uniform tetracomb. 1 icositetrachoron, 1 hexadecachoron, 6 octahedral prisms, 8 tetrahedral prisms, and 12 triangular duoprisms join at each vertex of this tessellation. As the name suggests, it is the sterication of the icositetrachoric tetracomb, or equivalently sterication of the dual hexadecachoric tetracomb.

External links[edit | edit source]

Klitzing, Richard. "scicot".
Wikipedia contributors. "Stericated 24-cell honeycomb".

v t e truncations
Name	OBSA	Schläfli symbol	CD diagram	Image
Icositetrachoric tetracomb	icot	${3,4,3,3}$
Rectified icositetrachoric tetracomb	ricot	r ${3,4,3,3}$
Birectified icositetrachoric tetracomb	bricot	t₂ ${3,4,3,3}$
Icositetrachoric tetracomb	icot	r ${3,3,4,3}$
Hexadecachoric tetracomb	hext	${3,3,4,3}$
Truncated icositetrachoric tetracomb	ticot	t ${3,4,3,3}$
Small rhombated icositetrachoric tetracomb	sricot	rr ${3,4,3,3}$
Small prismated icositetrachoric tetracomb	spict	t_0,3 ${3,4,3,3}$
Small cellated icositetrachoric tetracomb	scicot	t_0,4 ${3,4,3,3}$
Bitruncated icositetrachoric tetracomb	baticot	t_1,2 ${3,4,3,3}$
Small birhombated icositetrachoric tetracomb	sibricot	t_1,3 ${3,4,3,3}$
Small prismated hexadecachoric tetracomb	spaht	t_0,3 ${3,3,4,3}$
Bitruncated hexadecachoric tetracomb	bithit	t_1,2 ${3,3,4,3}$
Rectified icositetrachoric tetracomb	ricot	rr ${3,3,4,3}$
Truncated hexadecachoric tetracomb	thext	t ${3,3,4,3}$
Great rhombated icositetrachoric tetracomb	gricot	tr ${3,4,3,3}$
Prismatotruncated icositetrachoric tetracomb	paticot	t_0,1,3 ${3,4,3,3}$
Celliprismated hexadecachoric tetracomb	capoht	t_0,1,4 ${3,4,3,3}$
Prismatorhombated icositetrachoric tetracomb	pricot	t_0,2,3 ${3,4,3,3}$
Cellirhombated icositetrachoric tetracomb	caricot	t_0,2,4 ${3,4,3,3}$
Celliprismated icositetrachoric tetracomb	capicot	t_0,1,4 ${3,3,4,3}$
Great birhombated icositetrachoric tetracomb	gibricot	t_1,2,3 ${3,4,3,3}$
Prismatorhombated hexadecachoric tetracomb	praht	t_0,2,3 ${3,3,4,3}$
Prismatotruncated hexadecachoric tetracomb	pataht	t_0,1,3 ${3,3,4,3}$
Truncated icositetrachoric tetracomb	ticot	tr ${3,3,4,3}$
Great prismated icositetrachoric tetracomb	gippict	t_0,1,2,3 ${3,4,3,3}$
Celligreatorhombated icositetrachoric tetracomb	cagricot	t_0,1,2,4 ${3,4,3,3}$
Celliprismatotruncated icositetrachoric tetracomb	capticot	t_0,1,3,4 ${3,4,3,3}$
Celligreatorhombated hexadecachoric tetracomb	cagoraht	t_0,1,2,4 ${3,3,4,3}$
Great prismated hexadecachoric tetracomb	gipaht	t_0,1,2,3 ${3,3,4,3}$
Great cellated icositetrachoric tetracomb	gacicot	t_0,1,2,3,4 ${3,4,3,3}$

Small cellated icositetrachoric tetracomb

External links[edit | edit source]

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