Pentic 7-cubes

In seven-dimensional geometry, a pentic 7-cube is a convex uniform 7-polytope, related to the uniform 7-demicube. There are 8 unique forms.

More information Orthogonal projections in D7 Coxeter plane ...

Orthogonal projections in D₇ Coxeter plane
7-demicube (half 7-cube, h{4,3⁵})	Pentic 7-cube h₅{4,3⁵}	Penticantic 7-cube h_2,5{4,3⁵}
Pentiruncic 7-cube h_3,5{4,3⁵}	Pentiruncicantic 7-cube h_2,3,5{4,3⁵}	Pentisteric 7-cube h_4,5{4,3⁵}
Pentistericantic 7-cube h_2,4,5{4,3⁵}	Pentisteriruncic 7-cube h_3,4,5{4,3⁵}	Penticsteriruncicantic 7-cube h_2,3,4,5{4,3⁵}

Coxeter plane	B₇	D₇	D₆
Graph
Dihedral symmetry	[14/2]	[12]	[10]
Coxeter plane	D₅	D₄	D₃
Graph
Dihedral symmetry	[8]	[6]	[4]
Coxeter plane	A₅	A₃
Graph
Dihedral symmetry	[6]	[4]

Dimensional family of pentic n-cubes
n	6	7	8
[1⁺,4,3^n-2] = [3,3^n-3,1]	[1⁺,4,3⁴] = [3,3^3,1]	[1⁺,4,3⁵] = [3,3^4,1]	[1⁺,4,3⁶] = [3,3^5,1]
Cantic figure
Coxeter	=	=	=
Schläfli	h₅{4,3⁴}	h₅{4,3⁵}	h₅{4,3⁶}

Coxeter plane	B₇	D₇	D₆
Graph
Dihedral symmetry	[14/2]	[12]	[10]
Coxeter plane	D₅	D₄	D₃
Graph
Dihedral symmetry	[8]	[6]	[4]
Coxeter plane	A₅	A₃
Graph
Dihedral symmetry	[6]	[4]

Pentic 7-cube