Bitruncated hexadecachoric tetracomb

Bitruncated hexadecachoric tetracomb

Rank	5
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Bithit
Coxeter diagram	o3o4x3x3o ()
Elements
Tera	3N tesseractihexadecachora, N truncated icositetrachora
Cells	12N cubes, 24N truncated tetrahedra, 24N truncated octahedra
Faces	32N triangles, 72N squares, 96N hexagons
Edges	96N+144N
Vertices	96N
Vertex figure	Triangular scalene, edge lengths √2 (base triangle), 1 (top edge), and √3 (sides)
Related polytopes
Army	Bithit
Regiment	Bithit
Conjugate	None
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	U₅
Convex	Yes
Nature	Tame

The bitruncated hexadecachoric tetracomb, or bithit, is a convex uniform tetracomb. 3 tesseractihexadecachora and 2 truncated icositetrachora join at each vertex of this tessellation. As the name suggests, it is the bitruncation of the hexadecachoric tetracomb.

Representations[edit | edit source]

A bitruncated hexadecachoric tetracomb has the following Coxeter diagrams:

o3o4x3x3o () (full symmetry)
x3x3x4o *b3o () (S₅ symmetry)
o3x3x *b3x *b3x () (Q₅ symmetry)

External links[edit | edit source]

Klitzing, Richard. "bithit".
Wikipedia contributors. "Bitruncated 16-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 ${3,4,3,3}$

Bitruncated hexadecachoric tetracomb

Representations[edit | edit source]

External links[edit | edit source]

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