Hypercube

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Hypercube elements $E_{m,n}\!$

				m	0	1	2	3	4	5	6	7	8	9	10
n	γn	n-cube	Petrie polygon projection	Names Schläfli symbol Coxeter-Dynkin	Vertices	Edges	Faces	Cells	4-faces	5-faces	6-faces	7-faces	8-faces	9-faces	10-faces
0	γ0	0-cube		Point -	1
1	γ1	1-cube		Line segment {}	2	1
2	γ2	2-cube		Square Tetragon {4}	4	4	1
3	γ3	3-cube		Cube Hexahedron {4,3}	8	12	6	1
4	γ4	4-cube		Tesseract Octachoron {4,3,3}	16	32	24	8	1
5	γ5	5-cube		Penteract Decateron {4,3,3,3}	32	80	80	40	10	1
6	γ6	6-cube		Hexeract Dodecapeton {4,3,3,3,3}	64	192	240	160	60	12	1
7	γ7	7-cube		Hepteract Tetradeca-7-tope {4,3,3,3,3,3}	128	448	672	560	280	84	14	1
8	γ8	8-cube		Octeract Hexadeca-8-tope {4,3,3,3,3,3,3}	256	1024	1792	1792	1120	448	112	16	1
9	γ9	9-cube		Enneract Octadeca-9-tope {4,3,3,3,3,3,3,3}	512	2304	4608	5376	4032	2016	672	144	18	1
10	γ10	10-cube		Dekeract icosa-10-tope {4,3,3,3,3,3,3,3,3}	1024	5120	11520	15360	13440	8064	3360	960	180	20	1