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B7 polytope

[[File:7-cube t0.svg	160px]]
7-cube
[[File:7-cube t6.svg	160px]]
7-orthoplex
[[File:7-demicube t0 B7.svg	160px]]
7-demicube

In 7-dimensional geometry, there are 128 uniform polytopes with B7 symmetry. There are two regular forms, the 7-orthoplex, and 8-cube with 14 and 128 vertices respectively. The 7-demicube is added with half of the symmetry.

They can be visualized as symmetric orthographic projections in Coxeter planes of the B7 Coxeter group, and other subgroups. TOC

Graphs

Symmetric orthographic projections of these 128 polytopes can be made in the B7, B6, B5, B4, B3, B2, A5, A3, Coxeter planes. Ak has [k+1] symmetry, and Bk has [2k] symmetry.

These 128 polytopes are each shown in these 8 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position.

#	Coxeter plane graphs	Coxeter-Dynkin diagram
Schläfli symbol
Johnson and Bowers Name		B7
[14]		B6
[12]		B5
[10]		B4
[8]		B3
[6]		B2
[4]		A5
[6]		A3
[4]	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60	61	62	63	64	65	66	67	68	69	70	71	72	73	74	75	76	77	78	79	80	81	82	83	84	85	86	87	88	89	90	91	92	93	94	95	96	97	98	99	100	101	102	103	104	105	106	107	108	109	110	111	112	113	114	115	116	117	118	119	120	121	122	123	124	125	126	127
[[File:7-cube t6.svg	80px]]	[[File:7-cube t6 B6.svg	80px]]	[[File:7-cube t6 B5.svg	80px]]	[[File:7-cube t6 B4.svg	80px]]	[[File:7-cube t6 B3.svg	80px]]	[[File:4-cube t3 B2.svg	80px]]	[[File:7-cube t6 A5.svg	80px]]	[[File:4-cube t3 B2.svg	80px]]
{3,3,3,3,3,4}
7-orthoplex
Hecatonicosoctaexon (zee)
[[File:7-cube t5.svg	80px]]	[[File:7-cube t5 B6.svg	80px]]	[[File:7-cube t5 B5.svg	80px]]	[[File:7-cube t5 B4.svg	80px]]	[[File:7-cube t5 B3.svg	80px]]	[[File:7-cube t5 B2.svg	80px]]	[[File:7-cube t5 A5.svg	80px]]	[[File:7-cube t5 A3.svg	80px]]
t1{3,3,3,3,3,4}
Rectified 7-orthoplex
Rectified hecatonicosoctaexon (rez)
[[File:7-cube t4.svg	80px]]	[[File:7-cube t4 B6.svg	80px]]	[[File:7-cube t4 B5.svg	80px]]	[[File:7-cube t4 B4.svg	80px]]	[[File:7-cube t4 B3.svg	80px]]	[[File:7-cube t4 B2.svg	80px]]	[[File:7-cube t4 A5.svg	80px]]	[[File:7-cube t4 A3.svg	80px]]
t2{3,3,3,3,3,4}
Birectified 7-orthoplex
Birectified hecatonicosoctaexon (barz)
[[File:7-cube t3.svg	80px]]	[[File:7-cube t3 B6.svg	80px]]	[[File:7-cube t3 B5.svg	80px]]	[[File:7-cube t3 B4.svg	80px]]	[[File:7-cube t3 B3.svg	80px]]	[[File:7-cube t3 B2.svg	80px]]	[[File:7-cube t3 A5.svg	80px]]	[[File:7-cube t3 A3.svg	80px]]
t3{4,3,3,3,3,3}
Trirectified 7-cube
Hepteractihecatonicosoctaexon (sez)
[[File:7-cube t2.svg	80px]]	[[File:7-cube t2 B6.svg	80px]]	[[File:7-cube t2 B5.svg	80px]]	[[File:7-cube t2 B4.svg	80px]]	[[File:7-cube t2 B3.svg	80px]]	[[File:7-cube t2 B2.svg	80px]]	[[File:7-cube t2 A5.svg	80px]]	[[File:7-cube t2 A3.svg	80px]]
t2{4,3,3,3,3,3}
Birectified 7-cube
Birectified hepteract (bersa)
[[File:7-cube t1.svg	80px]]	[[File:7-cube t1 B6.svg	80px]]	[[File:7-cube t1 B5.svg	80px]]	[[File:7-cube t1 B4.svg	80px]]	[[File:7-cube t1 B3.svg	80px]]	[[File:7-cube t1 B2.svg	80px]]	[[File:7-cube t1 A5.svg	80px]]	[[File:7-cube t1 A3.svg	80px]]
t1{4,3,3,3,3,3}
Rectified 7-cube
Rectified hepteract (rasa)
[[File:7-cube t0.svg	80px]]	[[File:7-cube t0 B6.svg	80px]]	[[File:7-cube t0 B5.svg	80px]]	[[File:4-cube t0.svg	80px]]	[[File:7-cube t0 B3.svg	80px]]	[[File:7-cube t0 B2.svg	80px]]	[[File:7-cube t0 A5.svg	80px]]	[[File:7-cube t0 A3.svg	80px]]
{4,3,3,3,3,3}
7-cube
Hepteract (hept)
128		[[File:7-demicube t0 B7.svg	80px]]	[[File:7-demicube t0 D7.svg	80px]]	[[File:7-demicube t0 D6.svg	80px]]	[[File:7-demicube t0 D5.svg	80px]]	[[File:7-demicube t0 D4.svg	80px]]	[[File:7-demicube t0 D3.svg	80px]]	[[File:7-demicube t0 A5.svg	80px]]	[[File:7-demicube t0 A3.svg	80px]]
h{4,3,3,3,3,3}
7-demicube
Hemihepteract
[[File:7-cube t56.svg	80px]]	[[File:7-cube t56 B6.svg	80px]]	[[File:7-cube t56 B5.svg	80px]]	[[File:7-cube t56 B4.svg	80px]]	[[File:7-cube t56 B3.svg	80px]]	[[File:7-cube t56 B2.svg	80px]]	[[File:7-cube t56 A5.svg	80px]]	[[File:7-cube t56 A3.svg	80px]]
t0,1{3,3,3,3,3,4}
Truncated 7-orthoplex
Truncated hecatonicosoctaexon (Taz)
[[File:7-cube t46.svg	80px]]	[[File:7-cube t46 B6.svg	80px]]	[[File:7-cube t46 B5.svg	80px]]	[[File:7-cube t46 B4.svg	80px]]	[[File:7-cube t46 B3.svg	80px]]	[[File:7-cube t46 B2.svg	80px]]	[[File:7-cube t46 A5.svg	80px]]	[[File:7-cube t46 A3.svg	80px]]
t0,2{3,3,3,3,3,4}
Cantellated 7-orthoplex
Small rhombated hecatonicosoctaexon (Sarz)
[[File:7-cube t45.svg	80px]]	[[File:7-cube t45 B6.svg	80px]]	[[File:7-cube t45 B5.svg	80px]]	[[File:7-cube t45 B4.svg	80px]]	[[File:7-cube t45 B3.svg	80px]]	[[File:7-cube t45 B2.svg	80px]]	[[File:7-cube t45 A5.svg	80px]]	[[File:7-cube t45 A3.svg	80px]]
t1,2{3,3,3,3,3,4}
Bitruncated 7-orthoplex
Bitruncated hecatonicosoctaexon (Botaz)
[[File:7-cube t36.svg	80px]]	[[File:7-cube t36 B6.svg	80px]]	[[File:7-cube t36 B5.svg	80px]]	[[File:7-cube t36 B4.svg	80px]]	[[File:7-cube t36 B3.svg	80px]]	[[File:7-cube t36 B2.svg	80px]]	[[File:7-cube t36 A5.svg	80px]]	[[File:7-cube t36 A3.svg	80px]]
t0,3{3,3,3,3,3,4}
Runcinated 7-orthoplex
Small prismated hecatonicosoctaexon (Spaz)
[[File:7-cube t35.svg	80px]]	[[File:7-cube t35 B6.svg	80px]]	[[File:7-cube t35 B5.svg	80px]]	[[File:7-cube t35 B4.svg	80px]]	[[File:7-cube t35 B3.svg	80px]]	[[File:7-cube t35 B2.svg	80px]]	[[File:7-cube t35 A5.svg	80px]]	[[File:7-cube t35 A3.svg	80px]]
t1,3{3,3,3,3,3,4}
Bicantellated 7-orthoplex
Small birhombated hecatonicosoctaexon (Sebraz)
[[File:7-cube t34.svg	80px]]	[[File:7-cube t34 B6.svg	80px]]	[[File:7-cube t34 B5.svg	80px]]	[[File:7-cube t34 B4.svg	80px]]	[[File:7-cube t34 B3.svg	80px]]	[[File:7-cube t34 B2.svg	80px]]	[[File:7-cube t34 A5.svg	80px]]	[[File:7-cube t34 A3.svg	80px]]
t2,3{3,3,3,3,3,4}
Tritruncated 7-orthoplex
Tritruncated hecatonicosoctaexon (Totaz)
[[File:7-cube t26.svg	80px]]	[[File:7-cube t26 B6.svg	80px]]	[[File:7-cube t26 B5.svg	80px]]	[[File:7-cube t26 B4.svg	80px]]	[[File:7-cube t26 B3.svg	80px]]	[[File:7-cube t26 B2.svg	80px]]	[[File:7-cube t26 A5.svg	80px]]	[[File:7-cube t26 A3.svg	80px]]
t0,4{3,3,3,3,3,4}
Stericated 7-orthoplex
Small cellated hecatonicosoctaexon (Scaz)
[[File:7-cube t25.svg	80px]]	[[File:7-cube t25 B6.svg	80px]]	[[File:7-cube t25 B5.svg	80px]]	[[File:7-cube t25 B4.svg	80px]]	[[File:7-cube t25 B3.svg	80px]]	[[File:7-cube t25 B2.svg	80px]]	[[File:7-cube t25 A5.svg	80px]]	[[File:7-cube t25 A3.svg	80px]]
t1,4{3,3,3,3,3,4}
Biruncinated 7-orthoplex
Small biprismated hecatonicosoctaexon (Sibpaz)
[[File:7-cube t24.svg	80px]]	[[File:7-cube t24 B6.svg	80px]]	[[File:7-cube t24 B5.svg	80px]]	[[File:7-cube t24 B4.svg	80px]]	[[File:7-cube t24 B3.svg	80px]]	[[File:7-cube t24 B2.svg	80px]]	[[File:7-cube t24 A5.svg	80px]]	[[File:7-cube t24 A3.svg	80px]]
t2,4{4,3,3,3,3,3}
Tricantellated 7-cube
Small trirhombi-hepteractihecatonicosoctaexon (Strasaz)
[[File:7-cube t23.svg	80px]]	[[File:7-cube t23 B6.svg	80px]]	[[File:7-cube t23 B5.svg	80px]]	[[File:7-cube t23 B4.svg	80px]]	[[File:7-cube t23 B3.svg	80px]]	[[File:7-cube t23 B2.svg	80px]]	[[File:7-cube t23 A5.svg	80px]]	[[File:7-cube t23 A3.svg	80px]]
t2,3{4,3,3,3,3,3}
Tritruncated 7-cube
Tritruncated hepteract (Tatsa)
[[File:7-cube t16.svg	80px]]	[[File:7-cube t16 B6.svg	80px]]	[[File:7-cube t16 B5.svg	80px]]	[[File:7-cube t16 B4.svg	80px]]	[[File:7-cube t16 B3.svg	80px]]	[[File:7-cube t16 B2.svg	80px]]	[[File:7-cube t16 A5.svg	80px]]	[[File:7-cube t16 A3.svg	80px]]
t0,5{3,3,3,3,3,4}
Pentellated 7-orthoplex
Small terated hecatonicosoctaexon (Staz)
[[File:7-cube t15.svg	80px]]	[[File:7-cube t15 B6.svg	80px]]	[[File:7-cube t15 B5.svg	80px]]	[[File:7-cube t15 B4.svg	80px]]	[[File:7-cube t15 B3.svg	80px]]	[[File:7-cube t15 B2.svg	80px]]	[[File:7-cube t15 A5.svg	80px]]	[[File:7-cube t15 A3.svg	80px]]
t1,5{4,3,3,3,3,3}
Bistericated 7-cube
Small bicelli-hepteractihecatonicosoctaexon (Sabcosaz)
[[File:7-cube t14.svg	80px]]	[[File:7-cube t14 B6.svg	80px]]	[[File:7-cube t14 B5.svg	80px]]	[[File:7-cube t14 B4.svg	80px]]	[[File:7-cube t14 B3.svg	80px]]	[[File:7-cube t14 B2.svg	80px]]	[[File:7-cube t14 A5.svg	80px]]	[[File:7-cube t14 A3.svg	80px]]
t1,4{4,3,3,3,3,3}
Biruncinated 7-cube
Small biprismated hepteract (Sibposa)
[[File:7-cube t13.svg	80px]]	[[File:7-cube t13 B6.svg	80px]]	[[File:7-cube t13 B5.svg	80px]]	[[File:7-cube t13 B4.svg	80px]]	[[File:7-cube t13 B3.svg	80px]]	[[File:7-cube t13 B2.svg	80px]]	[[File:7-cube t13 A5.svg	80px]]	[[File:7-cube t13 A3.svg	80px]]
t1,3{4,3,3,3,3,3}
Bicantellated 7-cube
Small birhombated hepteract (Sibrosa)
[[File:7-cube t12.svg	80px]]	[[File:7-cube t12 B6.svg	80px]]	[[File:7-cube t12 B5.svg	80px]]	[[File:7-cube t12 B4.svg	80px]]	[[File:7-cube t12 B3.svg	80px]]	[[File:7-cube t12 B2.svg	80px]]	[[File:7-cube t12 A5.svg	80px]]	[[File:7-cube t12 A3.svg	80px]]
t1,2{4,3,3,3,3,3}
Bitruncated 7-cube
Bitruncated hepteract (Betsa)
[[File:7-cube t06.svg	80px]]	[[File:7-cube t06 B6.svg	80px]]	[[File:7-cube t06 B5.svg	80px]]	[[File:7-cube t06 B4.svg	80px]]	[[File:7-cube t06 B3.svg	80px]]	[[File:7-cube t06 B2.svg	80px]]	[[File:7-cube t06 A5.svg	80px]]	[[File:7-cube t06 A3.svg	80px]]
t0,6{4,3,3,3,3,3}
Hexicated 7-cube
Small peti-hepteractihecatonicosoctaexon (Suposaz)
[[File:7-cube t05.svg	80px]]	[[File:7-cube t05 B6.svg	80px]]	[[File:7-cube t05 B5.svg	80px]]	[[File:7-cube t05 B4.svg	80px]]	[[File:7-cube t05 B3.svg	80px]]	[[File:7-cube t05 B2.svg	80px]]	[[File:7-cube t05 A5.svg	80px]]	[[File:7-cube t05 A3.svg	80px]]
t0,5{4,3,3,3,3,3}
Pentellated 7-cube
Small terated hepteract (Stesa)
[[File:7-cube t04.svg	80px]]	[[File:7-cube t04 B6.svg	80px]]	[[File:7-cube t04 B5.svg	80px]]	[[File:7-cube t04 B4.svg	80px]]	[[File:7-cube t04 B3.svg	80px]]	[[File:7-cube t04 B2.svg	80px]]	[[File:7-cube t04 A5.svg	80px]]	[[File:7-cube t04 A3.svg	80px]]
t0,4{4,3,3,3,3,3}
Stericated 7-cube
Small cellated hepteract (Scosa)
[[File:7-cube t03.svg	80px]]	[[File:7-cube t03 B6.svg	80px]]	[[File:7-cube t03 B5.svg	80px]]	[[File:7-cube t03 B4.svg	80px]]	[[File:7-cube t03 B3.svg	80px]]	[[File:7-cube t03 B2.svg	80px]]	[[File:7-cube t03 A5.svg	80px]]	[[File:7-cube t03 A3.svg	80px]]
t0,3{4,3,3,3,3,3}
Runcinated 7-cube
Small prismated hepteract (Spesa)
[[File:7-cube t02.svg	80px]]	[[File:7-cube t02 B6.svg	80px]]	[[File:7-cube t02 B5.svg	80px]]	[[File:7-cube t02 B4.svg	80px]]	[[File:7-cube t02 B3.svg	80px]]	[[File:7-cube t02 B2.svg	80px]]	[[File:7-cube t02 A5.svg	80px]]	[[File:7-cube t02 A3.svg	80px]]
t0,2{4,3,3,3,3,3}
Cantellated 7-cube
Small rhombated hepteract (Sersa)
[[File:7-cube t01.svg	80px]]	[[File:7-cube t01 B6.svg	80px]]	[[File:7-cube t01 B5.svg	80px]]	[[File:7-cube t01 B4.svg	80px]]	[[File:7-cube t01 B3.svg	80px]]	[[File:7-cube t01 B2.svg	80px]]	[[File:7-cube t01 A5.svg	80px]]	[[File:7-cube t01 A3.svg	80px]]
t0,1{4,3,3,3,3,3}
Truncated 7-cube
Truncated hepteract (Tasa)
	[[File:7-cube t456 B6.svg	80px]]	[[File:7-cube t456 B5.svg	80px]]	[[File:7-cube t456 B4.svg	80px]]	[[File:7-cube t456 B3.svg	80px]]	[[File:7-cube t456 B2.svg	80px]]	[[File:7-cube t456 A5.svg	80px]]	[[File:7-cube t456 A3.svg	80px]]
t0,1,2{3,3,3,3,3,4}
Cantitruncated 7-orthoplex
Great rhombated hecatonicosoctaexon (Garz)
	[[File:7-cube t356 B6.svg	80px]]	[[File:7-cube t356 B5.svg	80px]]	[[File:7-cube t356 B4.svg	80px]]	[[File:7-cube t356 B3.svg	80px]]	[[File:7-cube t356 B2.svg	80px]]	[[File:7-cube t356 A5.svg	80px]]	[[File:7-cube t356 A3.svg	80px]]
t0,1,3{3,3,3,3,3,4}
Runcitruncated 7-orthoplex
Prismatotruncated hecatonicosoctaexon (Potaz)
	[[File:7-cube t346 B6.svg	80px]]	[[File:7-cube t346 B5.svg	80px]]	[[File:7-cube t346 B4.svg	80px]]	[[File:7-cube t346 B3.svg	80px]]	[[File:7-cube t346 B2.svg	80px]]	[[File:7-cube t346 A5.svg	80px]]	[[File:7-cube t346 A3.svg	80px]]
t0,2,3{3,3,3,3,3,4}
Runcicantellated 7-orthoplex
Prismatorhombated hecatonicosoctaexon (Parz)
	[[File:7-cube t345 B6.svg	80px]]	[[File:7-cube t345 B5.svg	80px]]	[[File:7-cube t345 B4.svg	80px]]	[[File:7-cube t345 B3.svg	80px]]	[[File:7-cube t345 B2.svg	80px]]	[[File:7-cube t345 A5.svg	80px]]	[[File:7-cube t345 A3.svg	80px]]
t1,2,3{3,3,3,3,3,4}
Bicantitruncated 7-orthoplex
Great birhombated hecatonicosoctaexon (Gebraz)
[[File:7-cube t256.svg	80px]]	[[File:7-cube t256 B6.svg	80px]]	[[File:7-cube t256 B5.svg	80px]]	[[File:7-cube t256 B4.svg	80px]]	[[File:7-cube t256 B3.svg	80px]]	[[File:7-cube t256 B2.svg	80px]]	[[File:7-cube t256 A5.svg	80px]]	[[File:7-cube t256 A3.svg	80px]]
t0,1,4{3,3,3,3,3,4}
Steritruncated 7-orthoplex
Cellitruncated hecatonicosoctaexon (Catz)
[[File:7-cube t246.svg	80px]]	[[File:7-cube t246 B6.svg	80px]]	[[File:7-cube t246 B5.svg	80px]]	[[File:7-cube t246 B4.svg	80px]]	[[File:7-cube t246 B3.svg	80px]]	[[File:7-cube t246 B2.svg	80px]]	[[File:7-cube t246 A5.svg	80px]]	[[File:7-cube t246 A3.svg	80px]]
t0,2,4{3,3,3,3,3,4}
Stericantellated 7-orthoplex
Cellirhombated hecatonicosoctaexon (Craze)
[[File:7-cube t245.svg	80px]]	[[File:7-cube t245 B6.svg	80px]]	[[File:7-cube t245 B5.svg	80px]]	[[File:7-cube t245 B4.svg	80px]]	[[File:7-cube t245 B3.svg	80px]]	[[File:7-cube t245 B2.svg	80px]]	[[File:7-cube t245 A5.svg	80px]]	[[File:7-cube t245 A3.svg	80px]]
t1,2,4{3,3,3,3,3,4}
Biruncitruncated 7-orthoplex
Biprismatotruncated hecatonicosoctaexon (Baptize)
	[[File:7-cube t236 B6.svg	80px]]	[[File:7-cube t236 B5.svg	80px]]	[[File:7-cube t236 B4.svg	80px]]	[[File:7-cube t236 B3.svg	80px]]	[[File:7-cube t236 B2.svg	80px]]	[[File:7-cube t236 A5.svg	80px]]	[[File:7-cube t236 A3.svg	80px]]
t0,3,4{3,3,3,3,3,4}
Steriruncinated 7-orthoplex
Celliprismated hecatonicosoctaexon (Copaz)
[[File:7-cube t235.svg	80px]]	[[File:7-cube t235 B6.svg	80px]]	[[File:7-cube t235 B5.svg	80px]]	[[File:7-cube t235 B4.svg	80px]]	[[File:7-cube t235 B3.svg	80px]]	[[File:7-cube t235 B2.svg	80px]]	[[File:7-cube t235 A5.svg	80px]]	[[File:7-cube t235 A3.svg	80px]]
t1,3,4{3,3,3,3,3,4}
Biruncicantellated 7-orthoplex
Biprismatorhombated hecatonicosoctaexon (Boparz)
	[[File:7-cube t234 B6.svg	80px]]	[[File:7-cube t234 B5.svg	80px]]	[[File:7-cube t234 B4.svg	80px]]	[[File:7-cube t234 B3.svg	80px]]	[[File:7-cube t234 B2.svg	80px]]	[[File:7-cube t234 A5.svg	80px]]	[[File:7-cube t234 A3.svg	80px]]
t2,3,4{4,3,3,3,3,3}
Tricantitruncated 7-cube
Great trirhombi-hepteractihecatonicosoctaexon (Gotrasaz)
[[File:7-cube t156.svg	80px]]	[[File:7-cube t156 B6.svg	80px]]	[[File:7-cube t156 B5.svg	80px]]	[[File:7-cube t156 B4.svg	80px]]	[[File:7-cube t156 B3.svg	80px]]	[[File:7-cube t156 B2.svg	80px]]	[[File:7-cube t156 A5.svg	80px]]	[[File:7-cube t156 A3.svg	80px]]
t0,1,5{3,3,3,3,3,4}
Pentitruncated 7-orthoplex
Teritruncated hecatonicosoctaexon (Tetaz)
[[File:7-cube t146.svg	80px]]	[[File:7-cube t146 B6.svg	80px]]	[[File:7-cube t146 B5.svg	80px]]	[[File:7-cube t146 B4.svg	80px]]	[[File:7-cube t146 B3.svg	80px]]	[[File:7-cube t146 B2.svg	80px]]	[[File:7-cube t146 A5.svg	80px]]	[[File:7-cube t146 A3.svg	80px]]
t0,2,5{3,3,3,3,3,4}
Penticantellated 7-orthoplex
Terirhombated hecatonicosoctaexon (Teroz)
[[File:7-cube t145.svg	80px]]	[[File:7-cube t145 B6.svg	80px]]	[[File:7-cube t145 B5.svg	80px]]	[[File:7-cube t145 B4.svg	80px]]	[[File:7-cube t145 B3.svg	80px]]	[[File:7-cube t145 B2.svg	80px]]	[[File:7-cube t145 A5.svg	80px]]	[[File:7-cube t145 A3.svg	80px]]
t1,2,5{3,3,3,3,3,4}
Bisteritruncated 7-orthoplex
Bicellitruncated hecatonicosoctaexon (Boctaz)
[[File:7-cube t136.svg	80px]]	[[File:7-cube t136 B6.svg	80px]]	[[File:7-cube t136 B5.svg	80px]]	[[File:7-cube t136 B4.svg	80px]]	[[File:7-cube t136 B3.svg	80px]]	[[File:7-cube t136 B2.svg	80px]]	[[File:7-cube t136 A5.svg	80px]]	[[File:7-cube t136 A3.svg	80px]]
t0,3,5{3,3,3,3,3,4}
Pentiruncinated 7-orthoplex
Teriprismated hecatonicosoctaexon (Topaz)
[[File:7-cube t135.svg	80px]]	[[File:7-cube t135 B6.svg	80px]]	[[File:7-cube t135 B5.svg	80px]]	[[File:7-cube t135 B4.svg	80px]]	[[File:7-cube t135 B3.svg	80px]]	[[File:7-cube t135 B2.svg	80px]]	[[File:7-cube t135 A5.svg	80px]]	[[File:7-cube t135 A3.svg	80px]]
t1,3,5{4,3,3,3,3,3}
Bistericantellated 7-cube
Bicellirhombi-hepteractihecatonicosoctaexon (Bacresaz)
[[File:7-cube t134.svg	80px]]	[[File:7-cube t134 B6.svg	80px]]	[[File:7-cube t134 B5.svg	80px]]	[[File:7-cube t134 B4.svg	80px]]	[[File:7-cube t134 B3.svg	80px]]	[[File:7-cube t134 B2.svg	80px]]	[[File:7-cube t134 A5.svg	80px]]	[[File:7-cube t134 A3.svg	80px]]
t1,3,4{4,3,3,3,3,3}
Biruncicantellated 7-cube
Biprismatorhombated hepteract (Bopresa)
[[File:7-cube t126.svg	80px]]	[[File:7-cube t126 B6.svg	80px]]	[[File:7-cube t126 B5.svg	80px]]	[[File:7-cube t126 B4.svg	80px]]	[[File:7-cube t126 B3.svg	80px]]	[[File:7-cube t126 B2.svg	80px]]	[[File:7-cube t126 A5.svg	80px]]	[[File:7-cube t126 A3.svg	80px]]
t0,4,5{3,3,3,3,3,4}
Pentistericated 7-orthoplex
Tericellated hecatonicosoctaexon (Tocaz)
[[File:7-cube t125.svg	80px]]	[[File:7-cube t125 B6.svg	80px]]	[[File:7-cube t125 B5.svg	80px]]	[[File:7-cube t125 B4.svg	80px]]	[[File:7-cube t125 B3.svg	80px]]	[[File:7-cube t125 B2.svg	80px]]	[[File:7-cube t125 A5.svg	80px]]	[[File:7-cube t125 A3.svg	80px]]
t1,2,5{4,3,3,3,3,3}
Bisteritruncated 7-cube
Bicellitruncated hepteract (Bactasa)
[[File:7-cube t124.svg	80px]]	[[File:7-cube t124 B6.svg	80px]]	[[File:7-cube t124 B5.svg	80px]]	[[File:7-cube t124 B4.svg	80px]]	[[File:7-cube t124 B3.svg	80px]]	[[File:7-cube t124 B2.svg	80px]]	[[File:7-cube t124 A5.svg	80px]]	[[File:7-cube t124 A3.svg	80px]]
t1,2,4{4,3,3,3,3,3}
Biruncitruncated 7-cube
Biprismatotruncated hepteract (Biptesa)
[[File:7-cube t123.svg	80px]]	[[File:7-cube t123 B6.svg	80px]]	[[File:7-cube t123 B5.svg	80px]]	[[File:7-cube t123 B4.svg	80px]]	[[File:7-cube t123 B3.svg	80px]]	[[File:7-cube t123 B2.svg	80px]]	[[File:7-cube t123 A5.svg	80px]]	[[File:7-cube t123 A3.svg	80px]]
t1,2,3{4,3,3,3,3,3}
Bicantitruncated 7-cube
Great birhombated hepteract (Gibrosa)
[[File:7-cube t056.svg	80px]]	[[File:7-cube t056 B6.svg	80px]]	[[File:7-cube t056 B5.svg	80px]]	[[File:7-cube t056 B4.svg	80px]]	[[File:7-cube t056 B3.svg	80px]]	[[File:7-cube t056 B2.svg	80px]]	[[File:7-cube t056 A5.svg	80px]]	[[File:7-cube t056 A3.svg	80px]]
t0,1,6{3,3,3,3,3,4}
Hexitruncated 7-orthoplex
Petitruncated hecatonicosoctaexon (Putaz)
[[File:7-cube t046.svg	80px]]	[[File:7-cube t046 B6.svg	80px]]	[[File:7-cube t046 B5.svg	80px]]	[[File:7-cube t046 B4.svg	80px]]	[[File:7-cube t046 B3.svg	80px]]	[[File:7-cube t046 B2.svg	80px]]	[[File:7-cube t046 A5.svg	80px]]	[[File:7-cube t046 A3.svg	80px]]
t0,2,6{3,3,3,3,3,4}
Hexicantellated 7-orthoplex
Petirhombated hecatonicosoctaexon (Puraz)
[[File:7-cube t045.svg	80px]]	[[File:7-cube t045 B6.svg	80px]]	[[File:7-cube t045 B5.svg	80px]]	[[File:7-cube t045 B4.svg	80px]]	[[File:7-cube t045 B3.svg	80px]]	[[File:7-cube t045 B2.svg	80px]]	[[File:7-cube t045 A5.svg	80px]]	[[File:7-cube t045 A3.svg	80px]]
t0,4,5{4,3,3,3,3,3}
Pentistericated 7-cube
Tericellated hepteract (Tacosa)
	[[File:7-cube t036 B6.svg	80px]]	[[File:7-cube t036 B5.svg	80px]]	[[File:7-cube t036 B4.svg	80px]]	[[File:7-cube t036 B3.svg	80px]]	[[File:7-cube t036 B2.svg	80px]]	[[File:7-cube t036 A5.svg	80px]]	[[File:7-cube t036 A3.svg	80px]]
t0,3,6{4,3,3,3,3,3}
Hexiruncinated 7-cube
Petiprismato-hepteractihecatonicosoctaexon (Pupsez)
[[File:7-cube t035.svg	80px]]	[[File:7-cube t035 B6.svg	80px]]	[[File:7-cube t035 B5.svg	80px]]	[[File:7-cube t035 B4.svg	80px]]	[[File:7-cube t035 B3.svg	80px]]	[[File:7-cube t035 B2.svg	80px]]	[[File:7-cube t035 A5.svg	80px]]	[[File:7-cube t035 A3.svg	80px]]
t0,3,5{4,3,3,3,3,3}
Pentiruncinated 7-cube
Teriprismated hepteract (Tapsa)
[[File:7-cube t034.svg	80px]]	[[File:7-cube t034 B6.svg	80px]]	[[File:7-cube t034 B5.svg	80px]]	[[File:7-cube t034 B4.svg	80px]]	[[File:7-cube t034 B3.svg	80px]]	[[File:7-cube t034 B2.svg	80px]]	[[File:7-cube t034 A5.svg	80px]]	[[File:7-cube t034 A3.svg	80px]]
t0,3,4{4,3,3,3,3,3}
Steriruncinated 7-cube
Celliprismated hepteract (Capsa)
[[File:7-cube t026.svg	80px]]	[[File:7-cube t026 B6.svg	80px]]	[[File:7-cube t026 B5.svg	80px]]	[[File:7-cube t026 B4.svg	80px]]	[[File:7-cube t026 B3.svg	80px]]	[[File:7-cube t026 B2.svg	80px]]	[[File:7-cube t026 A5.svg	80px]]	[[File:7-cube t026 A3.svg	80px]]
t0,2,6{4,3,3,3,3,3}
Hexicantellated 7-cube
Petirhombated hepteract (Purosa)
[[File:7-cube t025.svg	80px]]	[[File:7-cube t025 B6.svg	80px]]	[[File:7-cube t025 B5.svg	80px]]	[[File:7-cube t025 B4.svg	80px]]	[[File:7-cube t025 B3.svg	80px]]	[[File:7-cube t025 B2.svg	80px]]	[[File:7-cube t025 A5.svg	80px]]	[[File:7-cube t025 A3.svg	80px]]
t0,2,5{4,3,3,3,3,3}
Penticantellated 7-cube
Terirhombated hepteract (Tersa)
[[File:7-cube t024.svg	80px]]	[[File:7-cube t024 B6.svg	80px]]	[[File:7-cube t024 B5.svg	80px]]	[[File:7-cube t024 B4.svg	80px]]	[[File:7-cube t024 B3.svg	80px]]	[[File:7-cube t024 B2.svg	80px]]	[[File:7-cube t024 A5.svg	80px]]	[[File:7-cube t024 A3.svg	80px]]
t0,2,4{4,3,3,3,3,3}
Stericantellated 7-cube
Cellirhombated hepteract (Carsa)
[[File:7-cube t023.svg	80px]]	[[File:7-cube t023 B6.svg	80px]]	[[File:7-cube t023 B5.svg	80px]]	[[File:7-cube t023 B4.svg	80px]]	[[File:7-cube t023 B3.svg	80px]]	[[File:7-cube t023 B2.svg	80px]]	[[File:7-cube t023 A5.svg	80px]]	[[File:7-cube t023 A3.svg	80px]]
t0,2,3{4,3,3,3,3,3}
Runcicantellated 7-cube
Prismatorhombated hepteract (Parsa)
[[File:7-cube t016.svg	80px]]	[[File:7-cube t016 B6.svg	80px]]	[[File:7-cube t016 B5.svg	80px]]	[[File:7-cube t016 B4.svg	80px]]	[[File:7-cube t016 B3.svg	80px]]	[[File:7-cube t016 B2.svg	80px]]	[[File:7-cube t016 A5.svg	80px]]	[[File:7-cube t016 A3.svg	80px]]
t0,1,6{4,3,3,3,3,3}
Hexitruncated 7-cube
Petitruncated hepteract (Putsa)
[[File:7-cube t015.svg	80px]]	[[File:7-cube t015 B6.svg	80px]]	[[File:7-cube t015 B5.svg	80px]]	[[File:7-cube t015 B4.svg	80px]]	[[File:7-cube t015 B3.svg	80px]]	[[File:7-cube t015 B2.svg	80px]]	[[File:7-cube t015 A5.svg	80px]]	[[File:7-cube t015 A3.svg	80px]]
t0,1,5{4,3,3,3,3,3}
Pentitruncated 7-cube
Teritruncated hepteract (Tetsa)
[[File:7-cube t014.svg	80px]]	[[File:7-cube t014 B6.svg	80px]]	[[File:7-cube t014 B5.svg	80px]]	[[File:7-cube t014 B4.svg	80px]]	[[File:7-cube t014 B3.svg	80px]]	[[File:7-cube t014 B2.svg	80px]]	[[File:7-cube t014 A5.svg	80px]]	[[File:7-cube t014 A3.svg	80px]]
t0,1,4{4,3,3,3,3,3}
Steritruncated 7-cube
Cellitruncated hepteract (Catsa)
[[File:7-cube t013.svg	80px]]	[[File:7-cube t013 B6.svg	80px]]	[[File:7-cube t013 B5.svg	80px]]	[[File:7-cube t013 B4.svg	80px]]	[[File:7-cube t013 B3.svg	80px]]	[[File:7-cube t013 B2.svg	80px]]	[[File:7-cube t013 A5.svg	80px]]	[[File:7-cube t013 A3.svg	80px]]
t0,1,3{4,3,3,3,3,3}
Runcitruncated 7-cube
Prismatotruncated hepteract (Petsa)
[[File:7-cube t012.svg	80px]]	[[File:7-cube t012 B6.svg	80px]]	[[File:7-cube t012 B5.svg	80px]]	[[File:7-cube t012 B4.svg	80px]]	[[File:7-cube t012 B3.svg	80px]]	[[File:7-cube t012 B2.svg	80px]]	[[File:7-cube t012 A5.svg	80px]]	[[File:7-cube t012 A3.svg	80px]]
t0,1,2{4,3,3,3,3,3}
Cantitruncated 7-cube
Great rhombated hepteract (Gersa)
	[[File:7-cube t3456 B6.svg	80px]]	[[File:7-cube t3456 B5.svg	80px]]	[[File:7-cube t3456 B4.svg	80px]]	[[File:7-cube t3456 B3.svg	80px]]	[[File:7-cube t3456 B2.svg	80px]]	[[File:7-cube t3456 A5.svg	80px]]	[[File:7-cube t3456 A3.svg	80px]]
t0,1,2,3{3,3,3,3,3,4}
Runcicantitruncated 7-orthoplex
Great prismated hecatonicosoctaexon (Gopaz)
[[File:7-cube t2456.svg	80px]]	[[File:7-cube t2456 B6.svg	80px]]	[[File:7-cube t2456 B5.svg	80px]]	[[File:7-cube t2456 B4.svg	80px]]	[[File:7-cube t2456 B3.svg	80px]]	[[File:7-cube t2456 B2.svg	80px]]	[[File:7-cube t2456 A5.svg	80px]]	[[File:7-cube t2456 A3.svg	80px]]
t0,1,2,4{3,3,3,3,3,4}
Stericantitruncated 7-orthoplex
Celligreatorhombated hecatonicosoctaexon (Cogarz)
[[File:7-cube t2356.svg	80px]]	[[File:7-cube t2356 B6.svg	80px]]	[[File:7-cube t2356 B5.svg	80px]]	[[File:7-cube t2356 B4.svg	80px]]	[[File:7-cube t2356 B3.svg	80px]]	[[File:7-cube t2356 B2.svg	80px]]	[[File:7-cube t2356 A5.svg	80px]]	[[File:7-cube t2356 A3.svg	80px]]
t0,1,3,4{3,3,3,3,3,4}
Steriruncitruncated 7-orthoplex
Celliprismatotruncated hecatonicosoctaexon (Captaz)
[[File:7-cube t2346.svg	80px]]	[[File:7-cube t2346 B6.svg	80px]]	[[File:7-cube t2346 B5.svg	80px]]	[[File:7-cube t2346 B4.svg	80px]]	[[File:7-cube t2346 B3.svg	80px]]	[[File:7-cube t2346 B2.svg	80px]]	[[File:7-cube t2346 A5.svg	80px]]	[[File:7-cube t2346 A3.svg	80px]]
t0,2,3,4{3,3,3,3,3,4}
Steriruncicantellated 7-orthoplex
Celliprismatorhombated hecatonicosoctaexon (Caparz)
[[File:7-cube t2345.svg	80px]]	[[File:7-cube t2345 B6.svg	80px]]	[[File:7-cube t2345 B5.svg	80px]]	[[File:7-cube t2345 B4.svg	80px]]	[[File:7-cube t2345 B3.svg	80px]]	[[File:7-cube t2345 B2.svg	80px]]	[[File:7-cube t2345 A5.svg	80px]]	[[File:7-cube t2345 A3.svg	80px]]
t1,2,3,4{3,3,3,3,3,4}
Biruncicantitruncated 7-orthoplex
Great biprismated hecatonicosoctaexon (Gibpaz)
[[File:7-cube t1456.svg	80px]]	[[File:7-cube t1456 B6.svg	80px]]	[[File:7-cube t1456 B5.svg	80px]]	[[File:7-cube t1456 B4.svg	80px]]	[[File:7-cube t1456 B3.svg	80px]]	[[File:7-cube t1456 B2.svg	80px]]	[[File:7-cube t1456 A5.svg	80px]]	[[File:7-cube t1456 A3.svg	80px]]
t0,1,2,5{3,3,3,3,3,4}
Penticantitruncated 7-orthoplex
Terigreatorhombated hecatonicosoctaexon (Tograz)
[[File:7-cube t1356.svg	80px]]	[[File:7-cube t1356 B6.svg	80px]]	[[File:7-cube t1356 B5.svg	80px]]	[[File:7-cube t1356 B4.svg	80px]]	[[File:7-cube t1356 B3.svg	80px]]	[[File:7-cube t1356 B2.svg	80px]]	[[File:7-cube t1356 A5.svg	80px]]	[[File:7-cube t1356 A3.svg	80px]]
t0,1,3,5{3,3,3,3,3,4}
Pentiruncitruncated 7-orthoplex
Teriprismatotruncated hecatonicosoctaexon (Toptaz)
[[File:7-cube t1346.svg	80px]]	[[File:7-cube t1346 B6.svg	80px]]	[[File:7-cube t1346 B5.svg	80px]]	[[File:7-cube t1346 B4.svg	80px]]	[[File:7-cube t1346 B3.svg	80px]]	[[File:7-cube t1346 B2.svg	80px]]	[[File:7-cube t1346 A5.svg	80px]]	[[File:7-cube t1346 A3.svg	80px]]
t0,2,3,5{3,3,3,3,3,4}
Pentiruncicantellated 7-orthoplex
Teriprismatorhombated hecatonicosoctaexon (Toparz)
[[File:7-cube t1345.svg	80px]]	[[File:7-cube t1345 B6.svg	80px]]	[[File:7-cube t1345 B5.svg	80px]]	[[File:7-cube t1345 B4.svg	80px]]	[[File:7-cube t1345 B3.svg	80px]]	[[File:7-cube t1345 B2.svg	80px]]	[[File:7-cube t1345 A5.svg	80px]]	[[File:7-cube t1345 A3.svg	80px]]
t1,2,3,5{3,3,3,3,3,4}
Bistericantitruncated 7-orthoplex
Bicelligreatorhombated hecatonicosoctaexon (Becogarz)
[[File:7-cube t1256.svg	80px]]	[[File:7-cube t1256 B6.svg	80px]]	[[File:7-cube t1256 B5.svg	80px]]	[[File:7-cube t1256 B4.svg	80px]]	[[File:7-cube t1256 B3.svg	80px]]	[[File:7-cube t1256 B2.svg	80px]]	[[File:7-cube t1256 A5.svg	80px]]	[[File:7-cube t1256 A3.svg	80px]]
t0,1,4,5{3,3,3,3,3,4}
Pentisteritruncated 7-orthoplex
Tericellitruncated hecatonicosoctaexon (Tacotaz)
[[File:7-cube t1246.svg	80px]]	[[File:7-cube t1246 B6.svg	80px]]	[[File:7-cube t1246 B5.svg	80px]]	[[File:7-cube t1246 B4.svg	80px]]	[[File:7-cube t1246 B3.svg	80px]]	[[File:7-cube t1246 B2.svg	80px]]	[[File:7-cube t1246 A5.svg	80px]]	[[File:7-cube t1246 A3.svg	80px]]
t0,2,4,5{3,3,3,3,3,4}
Pentistericantellated 7-orthoplex
Tericellirhombated hecatonicosoctaexon (Tocarz)
[[File:7-cube t1245.svg	80px]]	[[File:7-cube t1245 B6.svg	80px]]	[[File:7-cube t1245 B5.svg	80px]]	[[File:7-cube t1245 B4.svg	80px]]	[[File:7-cube t1245 B3.svg	80px]]	[[File:7-cube t1245 B2.svg	80px]]	[[File:7-cube t1245 A5.svg	80px]]	[[File:7-cube t1245 A3.svg	80px]]
t1,2,4,5{4,3,3,3,3,3}
Bisteriruncitruncated 7-cube
Bicelliprismatotrunki-hepteractihecatonicosoctaexon (Bocaptosaz)
[[File:7-cube t1236.svg	80px]]	[[File:7-cube t1236 B6.svg	80px]]	[[File:7-cube t1236 B5.svg	80px]]	[[File:7-cube t1236 B4.svg	80px]]	[[File:7-cube t1236 B3.svg	80px]]	[[File:7-cube t1236 B2.svg	80px]]	[[File:7-cube t1236 A5.svg	80px]]	[[File:7-cube t1236 A3.svg	80px]]
t0,3,4,5{3,3,3,3,3,4}
Pentisteriruncinated 7-orthoplex
Tericelliprismated hecatonicosoctaexon (Tecpaz)
[[File:7-cube t1235.svg	80px]]	[[File:7-cube t1235 B6.svg	80px]]	[[File:7-cube t1235 B5.svg	80px]]	[[File:7-cube t1235 B4.svg	80px]]	[[File:7-cube t1235 B3.svg	80px]]	[[File:7-cube t1235 B2.svg	80px]]	[[File:7-cube t1235 A5.svg	80px]]	[[File:7-cube t1235 A3.svg	80px]]
t1,2,3,5{4,3,3,3,3,3}
Bistericantitruncated 7-cube
Bicelligreatorhombated hepteract (Becgresa)
[[File:7-cube t1234.svg	80px]]	[[File:7-cube t1234 B6.svg	80px]]	[[File:7-cube t1234 B5.svg	80px]]	[[File:7-cube t1234 B4.svg	80px]]	[[File:7-cube t1234 B3.svg	80px]]	[[File:7-cube t1234 B2.svg	80px]]	[[File:7-cube t1234 A5.svg	80px]]	[[File:7-cube t1234 A3.svg	80px]]
t1,2,3,4{4,3,3,3,3,3}
Biruncicantitruncated 7-cube
Great biprismated hepteract (Gibposa)
[[File:7-cube t0456.svg	80px]]	[[File:7-cube t0456 B6.svg	80px]]	[[File:7-cube t0456 B5.svg	80px]]	[[File:7-cube t0456 B4.svg	80px]]	[[File:7-cube t0456 B3.svg	80px]]	[[File:7-cube t0456 B2.svg	80px]]	[[File:7-cube t0456 A5.svg	80px]]	[[File:7-cube t0456 A3.svg	80px]]
t0,1,2,6{3,3,3,3,3,4}
Hexicantitruncated 7-orthoplex
Petigreatorhombated hecatonicosoctaexon (Pugarez)
[[File:7-cube t0356.svg	80px]]	[[File:7-cube t0356 B6.svg	80px]]	[[File:7-cube t0356 B5.svg	80px]]	[[File:7-cube t0356 B4.svg	80px]]	[[File:7-cube t0356 B3.svg	80px]]	[[File:7-cube t0356 B2.svg	80px]]	[[File:7-cube t0356 A5.svg	80px]]	[[File:7-cube t0356 A3.svg	80px]]
t0,1,3,6{3,3,3,3,3,4}
Hexiruncitruncated 7-orthoplex
Petiprismatotruncated hecatonicosoctaexon (Papataz)
[[File:7-cube t0346.svg	80px]]	[[File:7-cube t0346 B6.svg	80px]]	[[File:7-cube t0346 B5.svg	80px]]	[[File:7-cube t0346 B4.svg	80px]]	[[File:7-cube t0346 B3.svg	80px]]	[[File:7-cube t0346 B2.svg	80px]]	[[File:7-cube t0346 A5.svg	80px]]	[[File:7-cube t0346 A3.svg	80px]]
t0,2,3,6{3,3,3,3,3,4}
Hexiruncicantellated 7-orthoplex
Petiprismatorhombated hecatonicosoctaexon (Puparez)
[[File:7-cube t0345.svg	80px]]	[[File:7-cube t0345 B6.svg	80px]]	[[File:7-cube t0345 B5.svg	80px]]	[[File:7-cube t0345 B4.svg	80px]]	[[File:7-cube t0345 B3.svg	80px]]	[[File:7-cube t0345 B2.svg	80px]]	[[File:7-cube t0345 A5.svg	80px]]	[[File:7-cube t0345 A3.svg	80px]]
t0,3,4,5{4,3,3,3,3,3}
Pentisteriruncinated 7-cube
Tericelliprismated hepteract (Tecpasa)
[[File:7-cube t0256.svg	80px]]	[[File:7-cube t0256 B6.svg	80px]]	[[File:7-cube t0256 B5.svg	80px]]	[[File:7-cube t0256 B4.svg	80px]]	[[File:7-cube t0256 B3.svg	80px]]	[[File:7-cube t0256 B2.svg	80px]]	[[File:7-cube t0256 A5.svg	80px]]	[[File:7-cube t0256 A3.svg	80px]]
t0,1,4,6{3,3,3,3,3,4}
Hexisteritruncated 7-orthoplex
Peticellitruncated hecatonicosoctaexon (Pucotaz)
[[File:7-cube t0246.svg	80px]]	[[File:7-cube t0246 B6.svg	80px]]	[[File:7-cube t0246 B5.svg	80px]]	[[File:7-cube t0246 B4.svg	80px]]	[[File:7-cube t0246 B3.svg	80px]]	[[File:7-cube t0246 B2.svg	80px]]	[[File:7-cube t0246 A5.svg	80px]]	[[File:7-cube t0246 A3.svg	80px]]
t0,2,4,6{4,3,3,3,3,3}
Hexistericantellated 7-cube
Peticellirhombi-hepteractihecatonicosoctaexon (Pucrosaz)
[[File:7-cube t0245.svg	80px]]	[[File:7-cube t0245 B6.svg	80px]]	[[File:7-cube t0245 B5.svg	80px]]	[[File:7-cube t0245 B4.svg	80px]]	[[File:7-cube t0245 B3.svg	80px]]	[[File:7-cube t0245 B2.svg	80px]]	[[File:7-cube t0245 A5.svg	80px]]	[[File:7-cube t0245 A3.svg	80px]]
t0,2,4,5{4,3,3,3,3,3}
Pentistericantellated 7-cube
Tericellirhombated hepteract (Tecresa)
[[File:7-cube t0236.svg	80px]]	[[File:7-cube t0236 B6.svg	80px]]	[[File:7-cube t0236 B5.svg	80px]]	[[File:7-cube t0236 B4.svg	80px]]	[[File:7-cube t0236 B3.svg	80px]]	[[File:7-cube t0236 B2.svg	80px]]	[[File:7-cube t0236 A5.svg	80px]]	[[File:7-cube t0236 A3.svg	80px]]
t0,2,3,6{4,3,3,3,3,3}
Hexiruncicantellated 7-cube
Petiprismatorhombated hepteract (Pupresa)
[[File:7-cube t0235.svg	80px]]	[[File:7-cube t0235 B6.svg	80px]]	[[File:7-cube t0235 B5.svg	80px]]	[[File:7-cube t0235 B4.svg	80px]]	[[File:7-cube t0235 B3.svg	80px]]	[[File:7-cube t0235 B2.svg	80px]]	[[File:7-cube t0235 A5.svg	80px]]	[[File:7-cube t0235 A3.svg	80px]]
t0,2,3,5{4,3,3,3,3,3}
Pentiruncicantellated 7-cube
Teriprismatorhombated hepteract (Topresa)
[[File:7-cube t0234.svg	80px]]	[[File:7-cube t0234 B6.svg	80px]]	[[File:7-cube t0234 B5.svg	80px]]	[[File:7-cube t0234 B4.svg	80px]]	[[File:7-cube t0234 B3.svg	80px]]	[[File:7-cube t0234 B2.svg	80px]]	[[File:7-cube t0234 A5.svg	80px]]	[[File:7-cube t0234 A3.svg	80px]]
t0,2,3,4{4,3,3,3,3,3}
Steriruncicantellated 7-cube
Celliprismatorhombated hepteract (Copresa)
[[File:7-cube t0156.svg	80px]]	[[File:7-cube t0156 B6.svg	80px]]	[[File:7-cube t0156 B5.svg	80px]]	[[File:7-cube t0156 B4.svg	80px]]	[[File:7-cube t0156 B3.svg	80px]]	[[File:7-cube t0156 B2.svg	80px]]	[[File:7-cube t0156 A5.svg	80px]]	[[File:7-cube t0156 A3.svg	80px]]
t0,1,5,6{4,3,3,3,3,3}
Hexipentitruncated 7-cube
Petiteritrunki-hepteractihecatonicosoctaexon (Putatosez)
[[File:7-cube t0146.svg	80px]]	[[File:7-cube t0146 B6.svg	80px]]	[[File:7-cube t0146 B5.svg	80px]]	[[File:7-cube t0146 B4.svg	80px]]	[[File:7-cube t0146 B3.svg	80px]]	[[File:7-cube t0146 B2.svg	80px]]	[[File:7-cube t0146 A5.svg	80px]]	[[File:7-cube t0146 A3.svg	80px]]
t0,1,4,6{4,3,3,3,3,3}
Hexisteritruncated 7-cube
Peticellitruncated hepteract (Pacutsa)
[[File:7-cube t0145.svg	80px]]	[[File:7-cube t0145 B6.svg	80px]]	[[File:7-cube t0145 B5.svg	80px]]	[[File:7-cube t0145 B4.svg	80px]]	[[File:7-cube t0145 B3.svg	80px]]	[[File:7-cube t0145 B2.svg	80px]]	[[File:7-cube t0145 A5.svg	80px]]	[[File:7-cube t0145 A3.svg	80px]]
t0,1,4,5{4,3,3,3,3,3}
Pentisteritruncated 7-cube
Tericellitruncated hepteract (Tecatsa)
[[File:7-cube t0136.svg	80px]]	[[File:7-cube t0136 B6.svg	80px]]	[[File:7-cube t0136 B5.svg	80px]]	[[File:7-cube t0136 B4.svg	80px]]	[[File:7-cube t0136 B3.svg	80px]]	[[File:7-cube t0136 B2.svg	80px]]	[[File:7-cube t0136 A5.svg	80px]]	[[File:7-cube t0136 A3.svg	80px]]
t0,1,3,6{4,3,3,3,3,3}
Hexiruncitruncated 7-cube
Petiprismatotruncated hepteract (Pupetsa)
[[File:7-cube t0135.svg	80px]]	[[File:7-cube t0135 B6.svg	80px]]	[[File:7-cube t0135 B5.svg	80px]]	[[File:7-cube t0135 B4.svg	80px]]	[[File:7-cube t0135 B3.svg	80px]]	[[File:7-cube t0135 B2.svg	80px]]	[[File:7-cube t0135 A5.svg	80px]]	[[File:7-cube t0135 A3.svg	80px]]
t0,1,3,5{4,3,3,3,3,3}
Pentiruncitruncated 7-cube
Teriprismatotruncated hepteract (Toptosa)
[[File:7-cube t0134.svg	80px]]	[[File:7-cube t0134 B6.svg	80px]]	[[File:7-cube t0134 B5.svg	80px]]	[[File:7-cube t0134 B4.svg	80px]]	[[File:7-cube t0134 B3.svg	80px]]	[[File:7-cube t0134 B2.svg	80px]]	[[File:7-cube t0134 A5.svg	80px]]	[[File:7-cube t0134 A3.svg	80px]]
t0,1,3,4{4,3,3,3,3,3}
Steriruncitruncated 7-cube
Celliprismatotruncated hepteract (Captesa)
[[File:7-cube t0126.svg	80px]]	[[File:7-cube t0126 B6.svg	80px]]	[[File:7-cube t0126 B5.svg	80px]]	[[File:7-cube t0126 B4.svg	80px]]	[[File:7-cube t0126 B3.svg	80px]]	[[File:7-cube t0126 B2.svg	80px]]	[[File:7-cube t0126 A5.svg	80px]]	[[File:7-cube t0126 A3.svg	80px]]
t0,1,2,6{4,3,3,3,3,3}
Hexicantitruncated 7-cube
Petigreatorhombated hepteract (Pugrosa)
[[File:7-cube t0125.svg	80px]]	[[File:7-cube t0125 B6.svg	80px]]	[[File:7-cube t0125 B5.svg	80px]]	[[File:7-cube t0125 B4.svg	80px]]	[[File:7-cube t0125 B3.svg	80px]]	[[File:7-cube t0125 B2.svg	80px]]	[[File:7-cube t0125 A5.svg	80px]]	[[File:7-cube t0125 A3.svg	80px]]
t0,1,2,5{4,3,3,3,3,3}
Penticantitruncated 7-cube
Terigreatorhombated hepteract (Togresa)
[[File:7-cube t0124.svg	80px]]	[[File:7-cube t0124 B6.svg	80px]]	[[File:7-cube t0124 B5.svg	80px]]	[[File:7-cube t0124 B4.svg	80px]]	[[File:7-cube t0124 B3.svg	80px]]	[[File:7-cube t0124 B2.svg	80px]]	[[File:7-cube t0124 A5.svg	80px]]	[[File:7-cube t0124 A3.svg	80px]]
t0,1,2,4{4,3,3,3,3,3}
Stericantitruncated 7-cube
Celligreatorhombated hepteract (Cogarsa)
[[File:7-cube t0123.svg	80px]]	[[File:7-cube t0123 B6.svg	80px]]	[[File:7-cube t0123 B5.svg	80px]]	[[File:7-cube t0123 B4.svg	80px]]	[[File:7-cube t0123 B3.svg	80px]]	[[File:7-cube t0123 B2.svg	80px]]	[[File:7-cube t0123 A5.svg	80px]]	[[File:7-cube t0123 A3.svg	80px]]
t0,1,2,3{4,3,3,3,3,3}
Runcicantitruncated 7-cube
Great prismated hepteract (Gapsa)
[[File:7-cube t23456.svg	80px]]	[[File:7-cube t23456 B6.svg	80px]]	[[File:7-cube t23456 B5.svg	80px]]	[[File:7-cube t23456 B4.svg	80px]]	[[File:7-cube t23456 B3.svg	80px]]	[[File:7-cube t23456 B2.svg	80px]]	[[File:7-cube t23456 A5.svg	80px]]	[[File:7-cube t23456 A3.svg	80px]]
t0,1,2,3,4{3,3,3,3,3,4}
Steriruncicantitruncated 7-orthoplex
Great cellated hecatonicosoctaexon (Gocaz)
	[[File:7-cube t13456 B6.svg	80px]]	[[File:7-cube t13456 B5.svg	80px]]	[[File:7-cube t13456 B4.svg	80px]]	[[File:7-cube t13456 B3.svg	80px]]	[[File:7-cube t13456 B2.svg	80px]]	[[File:7-cube t13456 A5.svg	80px]]	[[File:7-cube t13456 A3.svg	80px]]
t0,1,2,3,5{3,3,3,3,3,4}
Pentiruncicantitruncated 7-orthoplex
Terigreatoprismated hecatonicosoctaexon (Tegopaz)
	[[File:7-cube t12456 B6.svg	80px]]	[[File:7-cube t12456 B5.svg	80px]]	[[File:7-cube t12456 B4.svg	80px]]	[[File:7-cube t12456 B3.svg	80px]]	[[File:7-cube t12456 B2.svg	80px]]	[[File:7-cube t12456 A5.svg	80px]]	[[File:7-cube t12456 A3.svg	80px]]
t0,1,2,4,5{3,3,3,3,3,4}
Pentistericantitruncated 7-orthoplex
Tericelligreatorhombated hecatonicosoctaexon (Tecagraz)
	[[File:7-cube t12356 B6.svg	80px]]	[[File:7-cube t12356 B5.svg	80px]]	[[File:7-cube t12356 B4.svg	80px]]	[[File:7-cube t12356 B3.svg	80px]]	[[File:7-cube t12356 B2.svg	80px]]	[[File:7-cube t12356 A5.svg	80px]]	[[File:7-cube t12356 A3.svg	80px]]
t0,1,3,4,5{3,3,3,3,3,4}
Pentisteriruncitruncated 7-orthoplex
Tericelliprismatotruncated hecatonicosoctaexon (Tecpotaz)
	[[File:7-cube t12346 B6.svg	80px]]	[[File:7-cube t12346 B5.svg	80px]]	[[File:7-cube t12346 B4.svg	80px]]	[[File:7-cube t12346 B3.svg	80px]]	[[File:7-cube t12346 B2.svg	80px]]	[[File:7-cube t12346 A5.svg	80px]]	[[File:7-cube t12346 A3.svg	80px]]
t0,2,3,4,5{3,3,3,3,3,4}
Pentisteriruncicantellated 7-orthoplex
Tericelliprismatorhombated hecatonicosoctaexon (Tacparez)
	[[File:7-cube t12345 B6.svg	80px]]	[[File:7-cube t12345 B5.svg	80px]]	[[File:7-cube t12345 B4.svg	80px]]	[[File:7-cube t12345 B3.svg	80px]]	[[File:7-cube t12345 B2.svg	80px]]	[[File:7-cube t12345 A5.svg	80px]]	[[File:7-cube t12345 A3.svg	80px]]
t1,2,3,4,5{4,3,3,3,3,3}
Bisteriruncicantitruncated 7-cube
Great bicelli-hepteractihecatonicosoctaexon (Gabcosaz)
[[File:7-cube t03456.svg	80px]]	[[File:7-cube t03456 B6.svg	80px]]	[[File:7-cube t03456 B5.svg	80px]]	[[File:7-cube t03456 B4.svg	80px]]	[[File:7-cube t03456 B3.svg	80px]]	[[File:7-cube t03456 B2.svg	80px]]	[[File:7-cube t03456 A5.svg	80px]]	[[File:7-cube t03456 A3.svg	80px]]
t0,1,2,3,6{3,3,3,3,3,4}
Hexiruncicantitruncated 7-orthoplex
Petigreatoprismated hecatonicosoctaexon (Pugopaz)
	[[File:7-cube t02456 B6.svg	80px]]	[[File:7-cube t02456 B5.svg	80px]]	[[File:7-cube t02456 B4.svg	80px]]	[[File:7-cube t02456 B3.svg	80px]]	[[File:7-cube t02456 B2.svg	80px]]	[[File:7-cube t02456 A5.svg	80px]]	[[File:7-cube t02456 A3.svg	80px]]
t0,1,2,4,6{3,3,3,3,3,4}
Hexistericantitruncated 7-orthoplex
Peticelligreatorhombated hecatonicosoctaexon (Pucagraz)
	[[File:7-cube t02356 B6.svg	80px]]	[[File:7-cube t02356 B5.svg	80px]]	[[File:7-cube t02356 B4.svg	80px]]	[[File:7-cube t02356 B3.svg	80px]]	[[File:7-cube t02356 B2.svg	80px]]	[[File:7-cube t02356 A5.svg	80px]]	[[File:7-cube t02356 A3.svg	80px]]
t0,1,3,4,6{3,3,3,3,3,4}
Hexisteriruncitruncated 7-orthoplex
Peticelliprismatotruncated hecatonicosoctaexon (Pucpotaz)
	[[File:7-cube t02346 B6.svg	80px]]	[[File:7-cube t02346 B5.svg	80px]]	[[File:7-cube t02346 B4.svg	80px]]	[[File:7-cube t02346 B3.svg	80px]]	[[File:7-cube t02346 B2.svg	80px]]	[[File:7-cube t02346 A5.svg	80px]]	[[File:7-cube t02346 A3.svg	80px]]
t0,2,3,4,6{4,3,3,3,3,3}
Hexisteriruncicantellated 7-cube
Peticelliprismatorhombi-hepteractihecatonicosoctaexon (Pucprosaz)
	[[File:7-cube t02345 B6.svg	80px]]	[[File:7-cube t02345 B5.svg	80px]]	[[File:7-cube t02345 B4.svg	80px]]	[[File:7-cube t02345 B3.svg	80px]]	[[File:7-cube t02345 B2.svg	80px]]	[[File:7-cube t02345 A5.svg	80px]]	[[File:7-cube t02345 A3.svg	80px]]
t0,2,3,4,5{4,3,3,3,3,3}
Pentisteriruncicantellated 7-cube
Tericelliprismatorhombated hepteract (Tocpresa)
[[File:7-cube t01456.svg	80px]]	[[File:7-cube t01456 B6.svg	80px]]	[[File:7-cube t01456 B5.svg	80px]]	[[File:7-cube t01456 B4.svg	80px]]	[[File:7-cube t01456 B3.svg	80px]]	[[File:7-cube t01456 B2.svg	80px]]	[[File:7-cube t01456 A5.svg	80px]]	[[File:7-cube t01456 A3.svg	80px]]
t0,1,2,5,6{3,3,3,3,3,4}
Hexipenticantitruncated 7-orthoplex
Petiterigreatorhombated hecatonicosoctaexon (Putegraz)
	[[File:7-cube t01356 B6.svg	80px]]	[[File:7-cube t01356 B5.svg	80px]]	[[File:7-cube t01356 B4.svg	80px]]	[[File:7-cube t01356 B3.svg	80px]]	[[File:7-cube t01356 B2.svg	80px]]	[[File:7-cube t01356 A5.svg	80px]]	[[File:7-cube t01356 A3.svg	80px]]
t0,1,3,5,6{4,3,3,3,3,3}
Hexipentiruncitruncated 7-cube
Petiteriprismatotrunki-hepteractihecatonicosoctaexon (Putpetsaz)
	[[File:7-cube t01346 B6.svg	80px]]	[[File:7-cube t01346 B5.svg	80px]]	[[File:7-cube t01346 B4.svg	80px]]	[[File:7-cube t01346 B3.svg	80px]]	[[File:7-cube t01346 B2.svg	80px]]	[[File:7-cube t01346 A5.svg	80px]]	[[File:7-cube t01346 A3.svg	80px]]
t0,1,3,4,6{4,3,3,3,3,3}
Hexisteriruncitruncated 7-cube
Peticelliprismatotruncated hepteract (Pucpetsa)
	[[File:7-cube t01345 B6.svg	80px]]	[[File:7-cube t01345 B5.svg	80px]]	[[File:7-cube t01345 B4.svg	80px]]	[[File:7-cube t01345 B3.svg	80px]]	[[File:7-cube t01345 B2.svg	80px]]	[[File:7-cube t01345 A5.svg	80px]]	[[File:7-cube t01345 A3.svg	80px]]
t0,1,3,4,5{4,3,3,3,3,3}
Pentisteriruncitruncated 7-cube
Tericelliprismatotruncated hepteract (Tecpetsa)
[[File:7-cube t01256.svg	80px]]	[[File:7-cube t01256 B6.svg	80px]]	[[File:7-cube t01256 B5.svg	80px]]	[[File:7-cube t01256 B4.svg	80px]]	[[File:7-cube t01256 B3.svg	80px]]	[[File:7-cube t01256 B2.svg	80px]]	[[File:7-cube t01256 A5.svg	80px]]	[[File:7-cube t01256 A3.svg	80px]]
t0,1,2,5,6{4,3,3,3,3,3}
Hexipenticantitruncated 7-cube
Petiterigreatorhombated hepteract (Putgresa)
	[[File:7-cube t01246 B6.svg	80px]]	[[File:7-cube t01246 B5.svg	80px]]	[[File:7-cube t01246 B4.svg	80px]]	[[File:7-cube t01246 B3.svg	80px]]	[[File:7-cube t01246 B2.svg	80px]]	[[File:7-cube t01246 A5.svg	80px]]	[[File:7-cube t01246 A3.svg	80px]]
t0,1,2,4,6{4,3,3,3,3,3}
Hexistericantitruncated 7-cube
Peticelligreatorhombated hepteract (Pucagrosa)
	[[File:7-cube t01245 B6.svg	80px]]	[[File:7-cube t01245 B5.svg	80px]]	[[File:7-cube t01245 B4.svg	80px]]	[[File:7-cube t01245 B3.svg	80px]]	[[File:7-cube t01245 B2.svg	80px]]	[[File:7-cube t01245 A5.svg	80px]]	[[File:7-cube t01245 A3.svg	80px]]
t0,1,2,4,5{4,3,3,3,3,3}
Pentistericantitruncated 7-cube
Tericelligreatorhombated hepteract (Tecgresa)
[[File:7-cube t01236.svg	80px]]	[[File:7-cube t01236 B6.svg	80px]]	[[File:7-cube t01236 B5.svg	80px]]	[[File:7-cube t01236 B4.svg	80px]]	[[File:7-cube t01236 B3.svg	80px]]	[[File:7-cube t01236 B2.svg	80px]]
t0,1,2,3,6{4,3,3,3,3,3}
Hexiruncicantitruncated 7-cube
Petigreatoprismated hepteract (Pugopsa)
	[[File:7-cube t01235 B6.svg	80px]]	[[File:7-cube t01235 B5.svg	80px]]	[[File:7-cube t01235 B4.svg	80px]]	[[File:7-cube t01235 B3.svg	80px]]	[[File:7-cube t01235 B2.svg	80px]]
t0,1,2,3,5{4,3,3,3,3,3}
Pentiruncicantitruncated 7-cube
Terigreatoprismated hepteract (Togapsa)
[[File:7-cube t01234.svg	80px]]	[[File:7-cube t01234 B6.svg	80px]]	[[File:7-cube t01234 B5.svg	80px]]	[[File:7-cube t01234 B4.svg	80px]]	[[File:7-cube t01234 B3.svg	80px]]	[[File:7-cube t01234 B2.svg	80px]]
t0,1,2,3,4{4,3,3,3,3,3}
Steriruncicantitruncated 7-cube
Great cellated hepteract (Gacosa)
	[[File:7-cube t123456 B6.svg	80px]]	[[File:7-cube t123456 B5.svg	80px]]	[[File:7-cube t123456 B4.svg	80px]]	[[File:7-cube t123456 B3.svg	80px]]	[[File:7-cube t123456 B2.svg	80px]]	[[File:7-cube t123456 A5.svg	80px]]	[[File:7-cube t123456 A3.svg	80px]]
t0,1,2,3,4,5{3,3,3,3,3,4}
Pentisteriruncicantitruncated 7-orthoplex
Great terated hecatonicosoctaexon (Gotaz)
	[[File:7-cube t023456 B6.svg	80px]]	[[File:7-cube t023456 B5.svg	80px]]	[[File:7-cube t023456 B4.svg	80px]]	[[File:7-cube t023456 B3.svg	80px]]	[[File:7-cube t023456 B2.svg	80px]]		[[File:7-cube t023456 A3.svg	80px]]
t0,1,2,3,4,6{3,3,3,3,3,4}
Hexisteriruncicantitruncated 7-orthoplex
Petigreatocellated hecatonicosoctaexon (Pugacaz)
	[[File:7-cube t013456 B6.svg	80px]]	[[File:7-cube t013456 B5.svg	80px]]	[[File:7-cube t013456 B4.svg	80px]]	[[File:7-cube t013456 B3.svg	80px]]	[[File:7-cube t013456 B2.svg	80px]]	[[File:7-cube t013456 A5.svg	80px]]	[[File:7-cube t013456 A3.svg	80px]]
t0,1,2,3,5,6{3,3,3,3,3,4}
Hexipentiruncicantitruncated 7-orthoplex
Petiterigreatoprismated hecatonicosoctaexon (Putgapaz)
	[[File:7-cube t012456 B6.svg	80px]]	[[File:7-cube t012456 B5.svg	80px]]	[[File:7-cube t012456 B4.svg	80px]]	[[File:7-cube t012456 B3.svg	80px]]	[[File:7-cube t012456 B2.svg	80px]]	[[File:7-cube t012456 A5.svg	80px]]	[[File:7-cube t012456 A3.svg	80px]]
t0,1,2,4,5,6{4,3,3,3,3,3}
Hexipentistericantitruncated 7-cube
Petitericelligreatorhombi-hepteractihecatonicosoctaexon (Putcagrasaz)
	[[File:7-cube t012356 B6.svg	80px]]	[[File:7-cube t012356 B5.svg	80px]]	[[File:7-cube t012356 B4.svg	80px]]	[[File:7-cube t012356 B3.svg	80px]]	[[File:7-cube t012356 B2.svg	80px]]	[[File:7-cube t012356 A5.svg	80px]]	[[File:7-cube t012356 A3.svg	80px]]
t0,1,2,3,5,6{4,3,3,3,3,3}
Hexipentiruncicantitruncated 7-cube
Petiterigreatoprismated hepteract (Putgapsa)
	[[File:7-cube t012346 B6.svg	80px]]	[[File:7-cube t012346 B5.svg	80px]]	[[File:7-cube t012346 B4.svg	80px]]	[[File:7-cube t012346 B3.svg	80px]]	[[File:7-cube t012346 B2.svg	80px]]	[[File:7-cube t012346 A5.svg	80px]]	[[File:7-cube t012346 A3.svg	80px]]
t0,1,2,3,4,6{4,3,3,3,3,3}
Hexisteriruncicantitruncated 7-cube
Petigreatocellated hepteract (Pugacasa)
	[[File:7-cube t012345 B6.svg	80px]]	[[File:7-cube t012345 B5.svg	80px]]	[[File:7-cube t012345 B4.svg	80px]]	[[File:7-cube t012345 B3.svg	80px]]	[[File:7-cube t012345 B2.svg	80px]]	[[File:7-cube t012345 A5.svg	80px]]	[[File:7-cube t012345 A3.svg	80px]]
t0,1,2,3,4,5{4,3,3,3,3,3}
Pentisteriruncicantitruncated 7-cube
Great terated hepteract (Gotesa)
	[[File:7-cube t0123456 B6.svg	80px]]	[[File:7-cube t0123456 B5.svg	80px]]	[[File:7-cube t0123456 B4.svg	80px]]	[[File:7-cube t0123456 B3.svg	80px]]	[[File:7-cube t0123456 B2.svg	80px]]	[[File:7-cube t0123456 A5.svg	80px]]	[[File:7-cube t0123456 A3.svg	80px]]
t0,1,2,3,4,5,6{4,3,3,3,3,3}
Omnitruncated 7-cube
Great peti-hepteractihecatonicosoctaexon (Guposaz)

References

H.S.M. Coxeter:
- H.S.M. Coxeter, Regular Polytopes, 3rd Edition, Dover New York, 1973
Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995,
- (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10]
- (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591]
- (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]
N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D. Dissertation, University of Toronto, 1966

;Notes

References

"Wiley::Kaleidoscopes: Selected Writings of H.S.M. Coxeter".

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