Cantic 6-cube

In six-dimensional geometry, a cantic 6-cube (or a truncated 6-demicube) is a uniform 6-polytope.

More information Cantic 6-cube Truncated 6-demicube ...

Cantic 6-cube Truncated 6-demicube
D6 Coxeter plane projection
Type	uniform polypeton
Schläfli symbol	t_0,1{3,3^3,1} h₂{4,3⁴}
Coxeter-Dynkin diagram	=
5-faces	76
4-faces	636
Cells	2080
Faces	3200
Edges	2160
Vertices	480
Vertex figure	( )v[{ }x{3,3}]
Coxeter groups	D₆, [3^3,1,1]
Properties	convex

Close

D6 polytopes
h{4,3⁴}	h₂{4,3⁴}	h₃{4,3⁴}	h₄{4,3⁴}	h₅{4,3⁴}	h_2,3{4,3⁴}	h_2,4{4,3⁴}	h_2,5{4,3⁴}
h_3,4{4,3⁴}	h_3,5{4,3⁴}	h_4,5{4,3⁴}	h_2,3,4{4,3⁴}	h_2,3,5{4,3⁴}	h_2,4,5{4,3⁴}	h_3,4,5{4,3⁴}	h_2,3,4,5{4,3⁴}

v t e Fundamental convex regular and uniform polytopes in dimensions 2–10
Family	$A n$	$B n$	$I 2 (p)$ / $D n$	$E 6$ / $E 7$ / $E 8$ / $F 4$ / $G 2$	$H n$
Regular polygon	Triangle	Square	p-gon	Hexagon	Pentagon
Uniform polyhedron	Tetrahedron	Octahedron • Cube	Demicube		Dodecahedron • Icosahedron
Uniform polychoron	Pentachoron	16-cell • Tesseract	Demitesseract	24-cell	120-cell • 600-cell
Uniform 5-polytope	5-simplex	5-orthoplex • 5-cube	5-demicube
Uniform 6-polytope	6-simplex	6-orthoplex • 6-cube	6-demicube	1₂₂ • 2₂₁
Uniform 7-polytope	7-simplex	7-orthoplex • 7-cube	7-demicube	1₃₂ • 2₃₁ • 3₂₁
Uniform 8-polytope	8-simplex	8-orthoplex • 8-cube	8-demicube	1₄₂ • 2₄₁ • 4₂₁
Uniform 9-polytope	9-simplex	9-orthoplex • 9-cube	9-demicube
Uniform 10-polytope	10-simplex	10-orthoplex • 10-cube	10-demicube
Uniform n-polytope	n-simplex	n-orthoplex • n-cube	n-demicube	1_k2 • 2_k1 • k₂₁	n-pentagonal polytope
Topics: Polytope families • Regular polytope • List of regular polytopes and compounds • Polytope operations

Alternate names