Birectified icositetrachoric tetracomb

Birectified icositetrachoric tetracomb

Rank	5
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Bricot
Coxeter diagram	o3o4x3o3o ()
Elements
Tera	3N rectified tesseracts, N rectified icositetrachora
Cells	24N tetrahedra, 12N cubes, 24N cuboctahedra
Faces	96N triangles, 72N squares
Edges	144N
Vertices	32N
Vertex figure	Triangular-triangular duoprism, edge lengths 1 and √2
Related polytopes
Army	Bricot
Regiment	Bricot
Conjugate	None
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	U₅
Convex	Yes
Nature	Tame

The birectified icositetrachoric tetracomb, or bricot, is a convex uniform tetracomb. 3 rectified icositetrachora and 3 rectified tesseracts join at each vertex of this tessellation. As the name suggests, it is the birectification of the icositetrachoric tetracomb, or equivalently birectification of the dual hexadecachoric tetracomb.

Representations[edit | edit source]

A birectified icositetrachoric tetracomb has the following Coxeter diagrams:

o3o4x3o3o () (full symmetry)
x3o3x4o *b3o () (S₅ symmetry)
o3o3x *b3x *b3x () (Q₅ symmetry)

External links[edit | edit source]

Klitzing, Richard. "bricot".
Wikipedia contributors. "Birectified 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 ${3,4,3,3}$

Cateogry:Bricot regiment

Birectified icositetrachoric tetracomb

Representations[edit | edit source]

External links[edit | edit source]

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