# B8 polytope

Orthographic projections in the B$_8$ Coxeter plane :
| 8-cube | 8-orthoplex | 8-demicube |
In 8-dimensional geometry, there are 256 uniform polytopes with B$_8$ symmetry. There are two regular forms, the 8-orthoplex and 8-cube, with 16 and 256 vertices respectively. The 8-demicube is added with half the symmetry.
They can be visualized as symmetric orthographic projections in Coxeter planes of the B$_8$ Coxeter group, and other subgroups.

## Graphs

Symmetric orthographic projections of these 256 polytopes can be made in the B$_8$, B$_7$, B$_6$, B$_5$, B$_4$, B$_3$, B$_2$, A$_7$, A$_5$, A$_3$, Coxeter planes. A$_k$ has [k+1] symmetry, and B$_k$ has [2k] symmetry.
These 256 polytopes are each shown in these 10 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position.
| # | Element counts | Element counts | Element counts | Element counts | Element counts | Element counts | Element counts | Element counts | Element counts | Element counts | Coxeter-Dynkin diagram Schläfli symbol Name |
| # | B$_8$ [16] | B$_7$ [14] | B$_6$ [12] | B$_5$ [10] | B$_4$ [8] | B$_3$ [6] | B$_2$ [4] | A$_7$ [8] | A$_5$ [6] | A$_3$ [4] | Coxeter-Dynkin diagram Schläfli symbol Name |
| 1 | | | | | | | | | | | t$_0${3,3,3,3,3,3,4} 8-orthoplex Diacosipentacontahexazetton (ek) |
| 2 | | | | | | | | | | | t$_1${3,3,3,3,3,3,4} Rectified 8-orthoplex Rectified diacosipentacontahexazetton (rek) |
| 3 | | | | | | | | | | | t$_2${3,3,3,3,3,3,4} Birectified 8-orthoplex Birectified diacosipentacontahexazetton (bark) |
| 4 | | | | | | | | | | | t$_3${3,3,3,3,3,3,4} Trirectified 8-orthoplex Trirectified diacosipentacontahexazetton (tark) |
| 5 | | | | | | | | | | | t$_3${4,3,3,3,3,3,3} Trirectified 8-cube Trirectified octeract (tro) |
| 6 | | | | | | | | | | | t$_2${4,3,3,3,3,3,3} Birectified 8-cube Birectified octeract (bro) |
| 7 | | | | | | | | | | | t$_1${4,3,3,3,3,3,3} Rectified 8-cube Rectified octeract (recto) |
| 8 | | | | | | | | | | | t$_0${4,3,3,3,3,3,3} 8-cube Octeract (octo) |
| 9 | | | | | | | | | | | t$_{0,1}${3,3,3,3,3,3,4} Truncated 8-orthoplex Truncated diacosipentacontahexazetton (tek) |
| 10 | | | | | | | | | | | t$_{0,2}${3,3,3,3,3,3,4} Cantellated 8-orthoplex Small rhombated diacosipentacontahexazetton (srek) |
| 11 | | | | | | | | | | | t$_{1,2}${3,3,3,3,3,3,4} Bitruncated 8-orthoplex Bitruncated diacosipentacontahexazetton (batek) |
| 12 | | | | | | | | | | | t$_{0,3}${3,3,3,3,3,3,4} Runcinated 8-orthoplex Small prismated diacosipentacontahexazetton (spek) |
| 13 | | | | | | | | | | | t$_{1,3}${3,3,3,3,3,3,4} Bicantellated 8-orthoplex Small birhombated diacosipentacontahexazetton (sabork) |
| 14 | | | | | | | | | | | t$_{2,3}${3,3,3,3,3,3,4} Tritruncated 8-orthoplex Tritruncated diacosipentacontahexazetton (tatek) |
| 15 | | | | | | | | | | | t$_{0,4}${3,3,3,3,3,3,4} Stericated 8-orthoplex Small cellated diacosipentacontahexazetton (scak) |
| 16 | | | | | | | | | | | t$_{1,4}${3,3,3,3,3,3,4} Biruncinated 8-orthoplex Small biprismated diacosipentacontahexazetton (sabpek) |
| 17 | | | | | | | | | | | t$_{2,4}${3,3,3,3,3,3,4} Tricantellated 8-orthoplex Small trirhombated diacosipentacontahexazetton (satrek) |
| 18 | | | | | | | | | | | t$_{3,4}${4,3,3,3,3,3,3} Quadritruncated 8-cube Octeractidiacosipentacontahexazetton (oke) |
| 19 | | | | | | | | | | | t$_{0,5}${3,3,3,3,3,3,4} Pentellated 8-orthoplex Small terated diacosipentacontahexazetton (setek) |
| 20 | | | | | | | | | | | t$_{1,5}${3,3,3,3,3,3,4} Bistericated 8-orthoplex Small bicellated diacosipentacontahexazetton (sibcak) |
| 21 | | | | | | | | | | | t$_{2,5}${4,3,3,3,3,3,3} Triruncinated 8-cube Small triprismato-octeractidiacosipentacontahexazetton (sitpoke) |
| 22 | | | | | | | | | | | t$_{2,4}${4,3,3,3,3,3,3} Tricantellated 8-cube Small trirhombated octeract (satro) |
| 23 | | | | | | | | | | | t$_{2,3}${4,3,3,3,3,3,3} Tritruncated 8-cube Tritruncated octeract (tato) |
| 24 | | | | | | | | | | | t$_{0,6}${3,3,3,3,3,3,4} Hexicated 8-orthoplex Small petated diacosipentacontahexazetton (supek) |
| 25 | | | | | | | | | | | t$_{1,6}${4,3,3,3,3,3,3} Bipentellated 8-cube Small biteri-octeractidiacosipentacontahexazetton (sabtoke) |
| 26 | | | | | | | | | | | t$_{1,5}${4,3,3,3,3,3,3} Bistericated 8-cube Small bicellated octeract (sobco) |
| 27 | | | | | | | | | | | t$_{1,4}${4,3,3,3,3,3,3} Biruncinated 8-cube Small biprismated octeract (sabepo) |
| 28 | | | | | | | | | | | t$_{1,3}${4,3,3,3,3,3,3} Bicantellated 8-cube Small birhombated octeract (subro) |
| 29 | | | | | | | | | | | t$_{1,2}${4,3,3,3,3,3,3} Bitruncated 8-cube Bitruncated octeract (bato) |
| 30 | | | | | | | | | | | t$_{0,7}${4,3,3,3,3,3,3} Heptellated 8-cube Small exi-octeractidiacosipentacontahexazetton (saxoke) |
| 31 | | | | | | | | | | | t$_{0,6}${4,3,3,3,3,3,3} Hexicated 8-cube Small petated octeract (supo) |
| 32 | | | | | | | | | | | t$_{0,5}${4,3,3,3,3,3,3} Pentellated 8-cube Small terated octeract (soto) |
| 33 | | | | | | | | | | | t$_{0,4}${4,3,3,3,3,3,3} Stericated 8-cube Small cellated octeract (soco) |
| 34 | | | | | | | | | | | t$_{0,3}${4,3,3,3,3,3,3} Runcinated 8-cube Small prismated octeract (sopo) |
| 35 | | | | | | | | | | | t$_{0,2}${4,3,3,3,3,3,3} Cantellated 8-cube Small rhombated octeract (soro) |
| 36 | | | | | | | | | | | t$_{0,1}${4,3,3,3,3,3,3} Truncated 8-cube Truncated octeract (tocto) |
| 37 | | | | | | | | | | | t$_{0,1,2}${3,3,3,3,3,3,4} Cantitruncated 8-orthoplex Great rhombated diacosipentacontahexazetton |
| 38 | | | | | | | | | | | t$_{0,1,3}${3,3,3,3,3,3,4} Runcitruncated 8-orthoplex Prismatotruncated diacosipentacontahexazetton |
| 39 | | | | | | | | | | | t$_{0,2,3}${3,3,3,3,3,3,4} Runcicantellated 8-orthoplex Prismatorhombated diacosipentacontahexazetton |
| 40 | | | | | | | | | | | t$_{1,2,3}${3,3,3,3,3,3,4} Bicantitruncated 8-orthoplex Great birhombated diacosipentacontahexazetton |
| 41 | | | | | | | | | | | t$_{0,1,4}${3,3,3,3,3,3,4} Steritruncated 8-orthoplex Cellitruncated diacosipentacontahexazetton |
| 42 | | | | | | | | | | | t$_{0,2,4}${3,3,3,3,3,3,4} Stericantellated 8-orthoplex Cellirhombated diacosipentacontahexazetton |
| 43 | | | | | | | | | | | t$_{1,2,4}${3,3,3,3,3,3,4} Biruncitruncated 8-orthoplex Biprismatotruncated diacosipentacontahexazetton |
| 44 | | | | | | | | | | | t$_{0,3,4}${3,3,3,3,3,3,4} Steriruncinated 8-orthoplex Celliprismated diacosipentacontahexazetton |
| 45 | | | | | | | | | | | t$_{1,3,4}${3,3,3,3,3,3,4} Biruncicantellated 8-orthoplex Biprismatorhombated diacosipentacontahexazetton |
| 46 | | | | | | | | | | | t$_{2,3,4}${3,3,3,3,3,3,4} Tricantitruncated 8-orthoplex Great trirhombated diacosipentacontahexazetton |
| 47 | | | | | | | | | | | t$_{0,1,5}${3,3,3,3,3,3,4} Pentitruncated 8-orthoplex Teritruncated diacosipentacontahexazetton |
| 48 | | | | | | | | | | | t$_{0,2,5}${3,3,3,3,3,3,4} Penticantellated 8-orthoplex Terirhombated diacosipentacontahexazetton |
| 49 | | | | | | | | | | | t$_{1,2,5}${3,3,3,3,3,3,4} Bisteritruncated 8-orthoplex Bicellitruncated diacosipentacontahexazetton |
| 50 | | | | | | | | | | | t$_{0,3,5}${3,3,3,3,3,3,4} Pentiruncinated 8-orthoplex Teriprismated diacosipentacontahexazetton |
| 51 | | | | | | | | | | | t$_{1,3,5}${3,3,3,3,3,3,4} Bistericantellated 8-orthoplex Bicellirhombated diacosipentacontahexazetton |
| 52 | | | | | | | | | | | t$_{2,3,5}${3,3,3,3,3,3,4} Triruncitruncated 8-orthoplex Triprismatotruncated diacosipentacontahexazetton |
| 53 | | | | | | | | | | | t$_{0,4,5}${3,3,3,3,3,3,4} Pentistericated 8-orthoplex Tericellated diacosipentacontahexazetton |
| 54 | | | | | | | | | | | t$_{1,4,5}${3,3,3,3,3,3,4} Bisteriruncinated 8-orthoplex Bicelliprismated diacosipentacontahexazetton |
| 55 | | | | | | | | | | | t$_{2,3,5}${4,3,3,3,3,3,3} Triruncitruncated 8-cube Triprismatotruncated octeract |
| 56 | | | | | | | | | | | t$_{2,3,4}${4,3,3,3,3,3,3} Tricantitruncated 8-cube Great trirhombated octeract |
| 57 | | | | | | | | | | | t$_{0,1,6}${3,3,3,3,3,3,4} Hexitruncated 8-orthoplex Petitruncated diacosipentacontahexazetton |
| 58 | | | | | | | | | | | t$_{0,2,6}${3,3,3,3,3,3,4} Hexicantellated 8-orthoplex Petirhombated diacosipentacontahexazetton |
| 59 | | | | | | | | | | | t$_{1,2,6}${3,3,3,3,3,3,4} Bipentitruncated 8-orthoplex Biteritruncated diacosipentacontahexazetton |
| 60 | | | | | | | | | | | t$_{0,3,6}${3,3,3,3,3,3,4} Hexiruncinated 8-orthoplex Petiprismated diacosipentacontahexazetton |
| 61 | | | | | | | | | | | t$_{1,3,6}${3,3,3,3,3,3,4} Bipenticantellated 8-orthoplex Biterirhombated diacosipentacontahexazetton |
| 62 | | | | | | | | | | | t$_{1,4,5}${4,3,3,3,3,3,3} Bisteriruncinated 8-cube Bicelliprismated octeract |
| 63 | | | | | | | | | | | t$_{0,4,6}${3,3,3,3,3,3,4} Hexistericated 8-orthoplex Peticellated diacosipentacontahexazetton |
| 64 | | | | | | | | | | | t$_{1,3,6}${4,3,3,3,3,3,3} Bipenticantellated 8-cube Biterirhombated octeract |
| 65 | | | | | | | | | | | t$_{1,3,5}${4,3,3,3,3,3,3} Bistericantellated 8-cube Bicellirhombated octeract |
| 66 | | | | | | | | | | | t$_{1,3,4}${4,3,3,3,3,3,3} Biruncicantellated 8-cube Biprismatorhombated octeract |
| 67 | | | | | | | | | | | t$_{0,5,6}${3,3,3,3,3,3,4} Hexipentellated 8-orthoplex Petiterated diacosipentacontahexazetton |
| 68 | | | | | | | | | | | t$_{1,2,6}${4,3,3,3,3,3,3} Bipentitruncated 8-cube Biteritruncated octeract |
| 69 | | | | | | | | | | | t$_{1,2,5}${4,3,3,3,3,3,3} Bisteritruncated 8-cube Bicellitruncated octeract |
| 70 | | | | | | | | | | | t$_{1,2,4}${4,3,3,3,3,3,3} Biruncitruncated 8-cube Biprismatotruncated octeract |
| 71 | | | | | | | | | | | t$_{1,2,3}${4,3,3,3,3,3,3} Bicantitruncated 8-cube Great birhombated octeract |
| 72 | | | | | | | | | | | t$_{0,1,7}${3,3,3,3,3,3,4} Heptitruncated 8-orthoplex Exitruncated diacosipentacontahexazetton |
| 73 | | | | | | | | | | | t$_{0,2,7}${3,3,3,3,3,3,4} Hepticantellated 8-orthoplex Exirhombated diacosipentacontahexazetton |
| 74 | | | | | | | | | | | t$_{0,5,6}${4,3,3,3,3,3,3} Hexipentellated 8-cube Petiterated octeract |
| 75 | | | | | | | | | | | t$_{0,3,7}${3,3,3,3,3,3,4} Heptiruncinated 8-orthoplex Exiprismated diacosipentacontahexazetton |
| 76 | | | | | | | | | | | t$_{0,4,6}${4,3,3,3,3,3,3} Hexistericated 8-cube Peticellated octeract |
| 77 | | | | | | | | | | | t$_{0,4,5}${4,3,3,3,3,3,3} Pentistericated 8-cube Tericellated octeract |
| 78 | | | | | | | | | | | t$_{0,3,7}${4,3,3,3,3,3,3} Heptiruncinated 8-cube Exiprismated octeract |
| 79 | | | | | | | | | | | t$_{0,3,6}${4,3,3,3,3,3,3} Hexiruncinated 8-cube Petiprismated octeract |
| 80 | | | | | | | | | | | t$_{0,3,5}${4,3,3,3,3,3,3} Pentiruncinated 8-cube Teriprismated octeract |
| 81 | | | | | | | | | | | t$_{0,3,4}${4,3,3,3,3,3,3} Steriruncinated 8-cube Celliprismated octeract |
| 82 | | | | | | | | | | | t$_{0,2,7}${4,3,3,3,3,3,3} Hepticantellated 8-cube Exirhombated octeract |
| 83 | | | | | | | | | | | t$_{0,2,6}${4,3,3,3,3,3,3} Hexicantellated 8-cube Petirhombated octeract |
| 84 | | | | | | | | | | | t$_{0,2,5}${4,3,3,3,3,3,3} Penticantellated 8-cube Terirhombated octeract |
| 85 | | | | | | | | | | | t$_{0,2,4}${4,3,3,3,3,3,3} Stericantellated 8-cube Cellirhombated octeract |
| 86 | | | | | | | | | | | t$_{0,2,3}${4,3,3,3,3,3,3} Runcicantellated 8-cube Prismatorhombated octeract |
| 87 | | | | | | | | | | | t$_{0,1,7}${4,3,3,3,3,3,3} Heptitruncated 8-cube Exitruncated octeract |
| 88 | | | | | | | | | | | t$_{0,1,6}${4,3,3,3,3,3,3} Hexitruncated 8-cube Petitruncated octeract |
| 89 | | | | | | | | | | | t$_{0,1,5}${4,3,3,3,3,3,3} Pentitruncated 8-cube Teritruncated octeract |
| 90 | | | | | | | | | | | t$_{0,1,4}${4,3,3,3,3,3,3} Steritruncated 8-cube Cellitruncated octeract |
| 91 | | | | | | | | | | | t$_{0,1,3}${4,3,3,3,3,3,3} Runcitruncated 8-cube Prismatotruncated octeract |
| 92 | | | | | | | | | | | t$_{0,1,2}${4,3,3,3,3,3,3} Cantitruncated 8-cube Great rhombated octeract |
| 93 | | | | | | | | | | | t$_{0,1,2,3}${3,3,3,3,3,3,4} Runcicantitruncated 8-orthoplex Great prismated diacosipentacontahexazetton |
| 94 | | | | | | | | | | | t$_{0,1,2,4}${3,3,3,3,3,3,4} Stericantitruncated 8-orthoplex Celligreatorhombated diacosipentacontahexazetton |
| 95 | | | | | | | | | | | t$_{0,1,3,4}${3,3,3,3,3,3,4} Steriruncitruncated 8-orthoplex Celliprismatotruncated diacosipentacontahexazetton |
| 96 | | | | | | | | | | | t$_{0,2,3,4}${3,3,3,3,3,3,4} Steriruncicantellated 8-orthoplex Celliprismatorhombated diacosipentacontahexazetton |
| 97 | | | | | | | | | | | t$_{1,2,3,4}${3,3,3,3,3,3,4} Biruncicantitruncated 8-orthoplex Great biprismated diacosipentacontahexazetton |
| 98 | | | | | | | | | | | t$_{0,1,2,5}${3,3,3,3,3,3,4} Penticantitruncated 8-orthoplex Terigreatorhombated diacosipentacontahexazetton |
| 99 | | | | | | | | | | | t$_{0,1,3,5}${3,3,3,3,3,3,4} Pentiruncitruncated 8-orthoplex Teriprismatotruncated diacosipentacontahexazetton |
| 100 | | | | | | | | | | | t$_{0,2,3,5}${3,3,3,3,3,3,4} Pentiruncicantellated 8-orthoplex Teriprismatorhombated diacosipentacontahexazetton |
| 101 | | | | | | | | | | | t$_{1,2,3,5}${3,3,3,3,3,3,4} Bistericantitruncated 8-orthoplex Bicelligreatorhombated diacosipentacontahexazetton |
| 102 | | | | | | | | | | | t$_{0,1,4,5}${3,3,3,3,3,3,4} Pentisteritruncated 8-orthoplex Tericellitruncated diacosipentacontahexazetton |
| 103 | | | | | | | | | | | t$_{0,2,4,5}${3,3,3,3,3,3,4} Pentistericantellated 8-orthoplex Tericellirhombated diacosipentacontahexazetton |
| 104 | | | | | | | | | | | t$_{1,2,4,5}${3,3,3,3,3,3,4} Bisteriruncitruncated 8-orthoplex Bicelliprismatotruncated diacosipentacontahexazetton |
| 105 | | | | | | | | | | | t$_{0,3,4,5}${3,3,3,3,3,3,4} Pentisteriruncinated 8-orthoplex Tericelliprismated diacosipentacontahexazetton |
| 106 | | | | | | | | | | | t$_{1,3,4,5}${3,3,3,3,3,3,4} Bisteriruncicantellated 8-orthoplex Bicelliprismatorhombated diacosipentacontahexazetton |
| 107 | | | | | | | | | | | t$_{2,3,4,5}${4,3,3,3,3,3,3} Triruncicantitruncated 8-cube Great triprismato-octeractidiacosipentacontahexazetton |
| 108 | | | | | | | | | | | t$_{0,1,2,6}${3,3,3,3,3,3,4} Hexicantitruncated 8-orthoplex Petigreatorhombated diacosipentacontahexazetton |
| 109 | | | | | | | | | | | t$_{0,1,3,6}${3,3,3,3,3,3,4} Hexiruncitruncated 8-orthoplex Petiprismatotruncated diacosipentacontahexazetton |
| 110 | | | | | | | | | | | t$_{0,2,3,6}${3,3,3,3,3,3,4} Hexiruncicantellated 8-orthoplex Petiprismatorhombated diacosipentacontahexazetton |
| 111 | | | | | | | | | | | t$_{1,2,3,6}${3,3,3,3,3,3,4} Bipenticantitruncated 8-orthoplex Biterigreatorhombated diacosipentacontahexazetton |
| 112 | | | | | | | | | | | t$_{0,1,4,6}${3,3,3,3,3,3,4} Hexisteritruncated 8-orthoplex Peticellitruncated diacosipentacontahexazetton |
| 113 | | | | | | | | | | | t$_{0,2,4,6}${3,3,3,3,3,3,4} Hexistericantellated 8-orthoplex Peticellirhombated diacosipentacontahexazetton |
| 114 | | | | | | | | | | | t$_{1,2,4,6}${3,3,3,3,3,3,4} Bipentiruncitruncated 8-orthoplex Biteriprismatotruncated diacosipentacontahexazetton |
| 115 | | | | | | | | | | | t$_{0,3,4,6}${3,3,3,3,3,3,4} Hexisteriruncinated 8-orthoplex Peticelliprismated diacosipentacontahexazetton |
| 116 | | | | | | | | | | | t$_{1,3,4,6}${4,3,3,3,3,3,3} Bipentiruncicantellated 8-cube Biteriprismatorhombi-octeractidiacosipentacontahexazetton |
| 117 | | | | | | | | | | | t$_{1,3,4,5}${4,3,3,3,3,3,3} Bisteriruncicantellated 8-cube Bicelliprismatorhombated octeract |
| 118 | | | | | | | | | | | t$_{0,1,5,6}${3,3,3,3,3,3,4} Hexipentitruncated 8-orthoplex Petiteritruncated diacosipentacontahexazetton |
| 119 | | | | | | | | | | | t$_{0,2,5,6}${3,3,3,3,3,3,4} Hexipenticantellated 8-orthoplex Petiterirhombated diacosipentacontahexazetton |
| 120 | | | | | | | | | | | t$_{1,2,5,6}${4,3,3,3,3,3,3} Bipentisteritruncated 8-cube Bitericellitrunki-octeractidiacosipentacontahexazetton |
| 121 | | | | | | | | | | | t$_{0,3,5,6}${3,3,3,3,3,3,4} Hexipentiruncinated 8-orthoplex Petiteriprismated diacosipentacontahexazetton |
| 122 | | | | | | | | | | | t$_{1,2,4,6}${4,3,3,3,3,3,3} Bipentiruncitruncated 8-cube Biteriprismatotruncated octeract |
| 123 | | | | | | | | | | | t$_{1,2,4,5}${4,3,3,3,3,3,3} Bisteriruncitruncated 8-cube Bicelliprismatotruncated octeract |
| 124 | | | | | | | | | | | t$_{0,4,5,6}${3,3,3,3,3,3,4} Hexipentistericated 8-orthoplex Petitericellated diacosipentacontahexazetton |
| 125 | | | | | | | | | | | t$_{1,2,3,6}${4,3,3,3,3,3,3} Bipenticantitruncated 8-cube Biterigreatorhombated octeract |
| 126 | | | | | | | | | | | t$_{1,2,3,5}${4,3,3,3,3,3,3} Bistericantitruncated 8-cube Bicelligreatorhombated octeract |
| 127 | | | | | | | | | | | t$_{1,2,3,4}${4,3,3,3,3,3,3} Biruncicantitruncated 8-cube Great biprismated octeract |
| 128 | | | | | | | | | | | t$_{0,1,2,7}${3,3,3,3,3,3,4} Hepticantitruncated 8-orthoplex Exigreatorhombated diacosipentacontahexazetton |
| 129 | | | | | | | | | | | t$_{0,1,3,7}${3,3,3,3,3,3,4} Heptiruncitruncated 8-orthoplex Exiprismatotruncated diacosipentacontahexazetton |
| 130 | | | | | | | | | | | t$_{0,2,3,7}${3,3,3,3,3,3,4} Heptiruncicantellated 8-orthoplex Exiprismatorhombated diacosipentacontahexazetton |
| 131 | | | | | | | | | | | t$_{0,4,5,6}${4,3,3,3,3,3,3} Hexipentistericated 8-cube Petitericellated octeract |
| 132 | | | | | | | | | | | t$_{0,1,4,7}${3,3,3,3,3,3,4} Heptisteritruncated 8-orthoplex Exicellitruncated diacosipentacontahexazetton |
| 133 | | | | | | | | | | | t$_{0,2,4,7}${3,3,3,3,3,3,4} Heptistericantellated 8-orthoplex Exicellirhombated diacosipentacontahexazetton |
| 134 | | | | | | | | | | | t$_{0,3,5,6}${4,3,3,3,3,3,3} Hexipentiruncinated 8-cube Petiteriprismated octeract |
| 135 | | | | | | | | | | | t$_{0,3,4,7}${4,3,3,3,3,3,3} Heptisteriruncinated 8-cube Exicelliprismato-octeractidiacosipentacontahexazetton |
| 136 | | | | | | | | | | | t$_{0,3,4,6}${4,3,3,3,3,3,3} Hexisteriruncinated 8-cube Peticelliprismated octeract |
| 137 | | | | | | | | | | | t$_{0,3,4,5}${4,3,3,3,3,3,3} Pentisteriruncinated 8-cube Tericelliprismated octeract |
| 138 | | | | | | | | | | | t$_{0,1,5,7}${3,3,3,3,3,3,4} Heptipentitruncated 8-orthoplex Exiteritruncated diacosipentacontahexazetton |
| 139 | | | | | | | | | | | t$_{0,2,5,7}${4,3,3,3,3,3,3} Heptipenticantellated 8-cube Exiterirhombi-octeractidiacosipentacontahexazetton |
| 140 | | | | | | | | | | | t$_{0,2,5,6}${4,3,3,3,3,3,3} Hexipenticantellated 8-cube Petiterirhombated octeract |
| 141 | | | | | | | | | | | t$_{0,2,4,7}${4,3,3,3,3,3,3} Heptistericantellated 8-cube Exicellirhombated octeract |
| 142 | | | | | | | | | | | t$_{0,2,4,6}${4,3,3,3,3,3,3} Hexistericantellated 8-cube Peticellirhombated octeract |
| 143 | | | | | | | | | | | t$_{0,2,4,5}${4,3,3,3,3,3,3} Pentistericantellated 8-cube Tericellirhombated octeract |
| 144 | | | | | | | | | | | t$_{0,2,3,7}${4,3,3,3,3,3,3} Heptiruncicantellated 8-cube Exiprismatorhombated octeract |
| 145 | | | | | | | | | | | t$_{0,2,3,6}${4,3,3,3,3,3,3} Hexiruncicantellated 8-cube Petiprismatorhombated octeract |
| 146 | | | | | | | | | | | t$_{0,2,3,5}${4,3,3,3,3,3,3} Pentiruncicantellated 8-cube Teriprismatorhombated octeract |
| 147 | | | | | | | | | | | t$_{0,2,3,4}${4,3,3,3,3,3,3} Steriruncicantellated 8-cube Celliprismatorhombated octeract |
| 148 | | | | | | | | | | | t$_{0,1,6,7}${4,3,3,3,3,3,3} Heptihexitruncated 8-cube Exipetitrunki-octeractidiacosipentacontahexazetton |
| 149 | | | | | | | | | | | t$_{0,1,5,7}${4,3,3,3,3,3,3} Heptipentitruncated 8-cube Exiteritruncated octeract |
| 150 | | | | | | | | | | | t$_{0,1,5,6}${4,3,3,3,3,3,3} Hexipentitruncated 8-cube Petiteritruncated octeract |
| 151 | | | | | | | | | | | t$_{0,1,4,7}${4,3,3,3,3,3,3} Heptisteritruncated 8-cube Exicellitruncated octeract |
| 152 | | | | | | | | | | | t$_{0,1,4,6}${4,3,3,3,3,3,3} Hexisteritruncated 8-cube Peticellitruncated octeract |
| 153 | | | | | | | | | | | t$_{0,1,4,5}${4,3,3,3,3,3,3} Pentisteritruncated 8-cube Tericellitruncated octeract |
| 154 | | | | | | | | | | | t$_{0,1,3,7}${4,3,3,3,3,3,3} Heptiruncitruncated 8-cube Exiprismatotruncated octeract |
| 155 | | | | | | | | | | | t$_{0,1,3,6}${4,3,3,3,3,3,3} Hexiruncitruncated 8-cube Petiprismatotruncated octeract |
| 156 | | | | | | | | | | | t$_{0,1,3,5}${4,3,3,3,3,3,3} Pentiruncitruncated 8-cube Teriprismatotruncated octeract |
| 157 | | | | | | | | | | | t$_{0,1,3,4}${4,3,3,3,3,3,3} Steriruncitruncated 8-cube Celliprismatotruncated octeract |
| 158 | | | | | | | | | | | t$_{0,1,2,7}${4,3,3,3,3,3,3} Hepticantitruncated 8-cube Exigreatorhombated octeract |
| 159 | | | | | | | | | | | t$_{0,1,2,6}${4,3,3,3,3,3,3} Hexicantitruncated 8-cube Petigreatorhombated octeract |
| 160 | | | | | | | | | | | t$_{0,1,2,5}${4,3,3,3,3,3,3} Penticantitruncated 8-cube Terigreatorhombated octeract |
| 161 | | | | | | | | | | | t$_{0,1,2,4}${4,3,3,3,3,3,3} Stericantitruncated 8-cube Celligreatorhombated octeract |
| 162 | | | | | | | | | | | t$_{0,1,2,3}${4,3,3,3,3,3,3} Runcicantitruncated 8-cube Great prismated octeract |
| 163 | | | | | | | | | | | t$_{0,1,2,3,4}${3,3,3,3,3,3,4} Steriruncicantitruncated 8-orthoplex Great cellated diacosipentacontahexazetton |
| 164 | | | | | | | | | | | t$_{0,1,2,3,5}${3,3,3,3,3,3,4} Pentiruncicantitruncated 8-orthoplex Terigreatoprismated diacosipentacontahexazetton |
| 165 | | | | | | | | | | | t$_{0,1,2,4,5}${3,3,3,3,3,3,4} Pentistericantitruncated 8-orthoplex Tericelligreatorhombated diacosipentacontahexazetton |
| 166 | | | | | | | | | | | t$_{0,1,3,4,5}${3,3,3,3,3,3,4} Pentisteriruncitruncated 8-orthoplex Tericelliprismatotruncated diacosipentacontahexazetton |
| 167 | | | | | | | | | | | t$_{0,2,3,4,5}${3,3,3,3,3,3,4} Pentisteriruncicantellated 8-orthoplex Tericelliprismatorhombated diacosipentacontahexazetton |
| 168 | | | | | | | | | | | t$_{1,2,3,4,5}${3,3,3,3,3,3,4} Bisteriruncicantitruncated 8-orthoplex Great bicellated diacosipentacontahexazetton |
| 169 | | | | | | | | | | | t$_{0,1,2,3,6}${3,3,3,3,3,3,4} Hexiruncicantitruncated 8-orthoplex Petigreatoprismated diacosipentacontahexazetton |
| 170 | | | | | | | | | | | t$_{0,1,2,4,6}${3,3,3,3,3,3,4} Hexistericantitruncated 8-orthoplex Peticelligreatorhombated diacosipentacontahexazetton |
| 171 | | | | | | | | | | | t$_{0,1,3,4,6}${3,3,3,3,3,3,4} Hexisteriruncitruncated 8-orthoplex Peticelliprismatotruncated diacosipentacontahexazetton |
| 172 | | | | | | | | | | | t$_{0,2,3,4,6}${3,3,3,3,3,3,4} Hexisteriruncicantellated 8-orthoplex Peticelliprismatorhombated diacosipentacontahexazetton |
| 173 | | | | | | | | | | | t$_{1,2,3,4,6}${3,3,3,3,3,3,4} Bipentiruncicantitruncated 8-orthoplex Biterigreatoprismated diacosipentacontahexazetton |
| 174 | | | | | | | | | | | t$_{0,1,2,5,6}${3,3,3,3,3,3,4} Hexipenticantitruncated 8-orthoplex Petiterigreatorhombated diacosipentacontahexazetton |
| 175 | | | | | | | | | | | t$_{0,1,3,5,6}${3,3,3,3,3,3,4} Hexipentiruncitruncated 8-orthoplex Petiteriprismatotruncated diacosipentacontahexazetton |
| 176 | | | | | | | | | | | t$_{0,2,3,5,6}${3,3,3,3,3,3,4} Hexipentiruncicantellated 8-orthoplex Petiteriprismatorhombated diacosipentacontahexazetton |
| 177 | | | | | | | | | | | t$_{1,2,3,5,6}${3,3,3,3,3,3,4} Bipentistericantitruncated 8-orthoplex Bitericelligreatorhombated diacosipentacontahexazetton |
| 178 | | | | | | | | | | | t$_{0,1,4,5,6}${3,3,3,3,3,3,4} Hexipentisteritruncated 8-orthoplex Petitericellitruncated diacosipentacontahexazetton |
| 179 | | | | | | | | | | | t$_{0,2,4,5,6}${3,3,3,3,3,3,4} Hexipentistericantellated 8-orthoplex Petitericellirhombated diacosipentacontahexazetton |
| 180 | | | | | | | | | | | t$_{1,2,3,5,6}${4,3,3,3,3,3,3} Bipentistericantitruncated 8-cube Bitericelligreatorhombated octeract |
| 181 | | | | | | | | | | | t$_{0,3,4,5,6}${3,3,3,3,3,3,4} Hexipentisteriruncinated 8-orthoplex Petitericelliprismated diacosipentacontahexazetton |
| 182 | | | | | | | | | | | t$_{1,2,3,4,6}${4,3,3,3,3,3,3} Bipentiruncicantitruncated 8-cube Biterigreatoprismated octeract |
| 183 | | | | | | | | | | | t$_{1,2,3,4,5}${4,3,3,3,3,3,3} Bisteriruncicantitruncated 8-cube Great bicellated octeract |
| 184 | | | | | | | | | | | t$_{0,1,2,3,7}${3,3,3,3,3,3,4} Heptiruncicantitruncated 8-orthoplex Exigreatoprismated diacosipentacontahexazetton |
| 185 | | | | | | | | | | | t$_{0,1,2,4,7}${3,3,3,3,3,3,4} Heptistericantitruncated 8-orthoplex Exicelligreatorhombated diacosipentacontahexazetton |
| 186 | | | | | | | | | | | t$_{0,1,3,4,7}${3,3,3,3,3,3,4} Heptisteriruncitruncated 8-orthoplex Exicelliprismatotruncated diacosipentacontahexazetton |
| 187 | | | | | | | | | | | t$_{0,2,3,4,7}${3,3,3,3,3,3,4} Heptisteriruncicantellated 8-orthoplex Exicelliprismatorhombated diacosipentacontahexazetton |
| 188 | | | | | | | | | | | t$_{0,3,4,5,6}${4,3,3,3,3,3,3} Hexipentisteriruncinated 8-cube Petitericelliprismated octeract |
| 189 | | | | | | | | | | | t$_{0,1,2,5,7}${3,3,3,3,3,3,4} Heptipenticantitruncated 8-orthoplex Exiterigreatorhombated diacosipentacontahexazetton |
| 190 | | | | | | | | | | | t$_{0,1,3,5,7}${3,3,3,3,3,3,4} Heptipentiruncitruncated 8-orthoplex Exiteriprismatotruncated diacosipentacontahexazetton |
| 191 | | | | | | | | | | | t$_{0,2,3,5,7}${3,3,3,3,3,3,4} Heptipentiruncicantellated 8-orthoplex Exiteriprismatorhombated diacosipentacontahexazetton |
| 192 | | | | | | | | | | | t$_{0,2,4,5,6}${4,3,3,3,3,3,3} Hexipentistericantellated 8-cube Petitericellirhombated octeract |
| 193 | | | | | | | | | | | t$_{0,1,4,5,7}${3,3,3,3,3,3,4} Heptipentisteritruncated 8-orthoplex Exitericellitruncated diacosipentacontahexazetton |
| 194 | | | | | | | | | | | t$_{0,2,3,5,7}${4,3,3,3,3,3,3} Heptipentiruncicantellated 8-cube Exiteriprismatorhombated octeract |
| 195 | | | | | | | | | | | t$_{0,2,3,5,6}${4,3,3,3,3,3,3} Hexipentiruncicantellated 8-cube Petiteriprismatorhombated octeract |
| 196 | | | | | | | | | | | t$_{0,2,3,4,7}${4,3,3,3,3,3,3} Heptisteriruncicantellated 8-cube Exicelliprismatorhombated octeract |
| 197 | | | | | | | | | | | t$_{0,2,3,4,6}${4,3,3,3,3,3,3} Hexisteriruncicantellated 8-cube Peticelliprismatorhombated octeract |
| 198 | | | | | | | | | | | t$_{0,2,3,4,5}${4,3,3,3,3,3,3} Pentisteriruncicantellated 8-cube Tericelliprismatorhombated octeract |
| 199 | | | | | | | | | | | t$_{0,1,2,6,7}${3,3,3,3,3,3,4} Heptihexicantitruncated 8-orthoplex Exipetigreatorhombated diacosipentacontahexazetton |
| 200 | | | | | | | | | | | t$_{0,1,3,6,7}${3,3,3,3,3,3,4} Heptihexiruncitruncated 8-orthoplex Exipetiprismatotruncated diacosipentacontahexazetton |
| 201 | | | | | | | | | | | t$_{0,1,4,5,7}${4,3,3,3,3,3,3} Heptipentisteritruncated 8-cube Exitericellitruncated octeract |
| 202 | | | | | | | | | | | t$_{0,1,4,5,6}${4,3,3,3,3,3,3} Hexipentisteritruncated 8-cube Petitericellitruncated octeract |
| 203 | | | | | | | | | | | t$_{0,1,3,6,7}${4,3,3,3,3,3,3} Heptihexiruncitruncated 8-cube Exipetiprismatotruncated octeract |
| 204 | | | | | | | | | | | t$_{0,1,3,5,7}${4,3,3,3,3,3,3} Heptipentiruncitruncated 8-cube Exiteriprismatotruncated octeract |
| 205 | | | | | | | | | | | t$_{0,1,3,5,6}${4,3,3,3,3,3,3} Hexipentiruncitruncated 8-cube Petiteriprismatotruncated octeract |
| 206 | | | | | | | | | | | t$_{0,1,3,4,7}${4,3,3,3,3,3,3} Heptisteriruncitruncated 8-cube Exicelliprismatotruncated octeract |
| 207 | | | | | | | | | | | t$_{0,1,3,4,6}${4,3,3,3,3,3,3} Hexisteriruncitruncated 8-cube Peticelliprismatotruncated octeract |
| 208 | | | | | | | | | | | t$_{0,1,3,4,5}${4,3,3,3,3,3,3} Pentisteriruncitruncated 8-cube Tericelliprismatotruncated octeract |
| 209 | | | | | | | | | | | t$_{0,1,2,6,7}${4,3,3,3,3,3,3} Heptihexicantitruncated 8-cube Exipetigreatorhombated octeract |
| 210 | | | | | | | | | | | t$_{0,1,2,5,7}${4,3,3,3,3,3,3} Heptipenticantitruncated 8-cube Exiterigreatorhombated octeract |
| 211 | | | | | | | | | | | t$_{0,1,2,5,6}${4,3,3,3,3,3,3} Hexipenticantitruncated 8-cube Petiterigreatorhombated octeract |
| 212 | | | | | | | | | | | t$_{0,1,2,4,7}${4,3,3,3,3,3,3} Heptistericantitruncated 8-cube Exicelligreatorhombated octeract |
| 213 | | | | | | | | | | | t$_{0,1,2,4,6}${4,3,3,3,3,3,3} Hexistericantitruncated 8-cube Peticelligreatorhombated octeract |
| 214 | | | | | | | | | | | t$_{0,1,2,4,5}${4,3,3,3,3,3,3} Pentistericantitruncated 8-cube Tericelligreatorhombated octeract |
| 215 | | | | | | | | | | | t$_{0,1,2,3,7}${4,3,3,3,3,3,3} Heptiruncicantitruncated 8-cube Exigreatoprismated octeract |
| 216 | | | | | | | | | | | t$_{0,1,2,3,6}${4,3,3,3,3,3,3} Hexiruncicantitruncated 8-cube Petigreatoprismated octeract |
| 217 | | | | | | | | | | | t$_{0,1,2,3,5}${4,3,3,3,3,3,3} Pentiruncicantitruncated 8-cube Terigreatoprismated octeract |
| 218 | | | | | | | | | | | t$_{0,1,2,3,4}${4,3,3,3,3,3,3} Steriruncicantitruncated 8-cube Great cellated octeract |
| 219 | | | | | | | | | | | t$_{0,1,2,3,4,5}${3,3,3,3,3,3,4} Pentisteriruncicantitruncated 8-orthoplex Great terated diacosipentacontahexazetton |
| 220 | | | | | | | | | | | t$_{0,1,2,3,4,6}${3,3,3,3,3,3,4} Hexisteriruncicantitruncated 8-orthoplex Petigreatocellated diacosipentacontahexazetton |
| 221 | | | | | | | | | | | t$_{0,1,2,3,5,6}${3,3,3,3,3,3,4} Hexipentiruncicantitruncated 8-orthoplex Petiterigreatoprismated diacosipentacontahexazetton |
| 222 | | | | | | | | | | | t$_{0,1,2,4,5,6}${3,3,3,3,3,3,4} Hexipentistericantitruncated 8-orthoplex Petitericelligreatorhombated diacosipentacontahexazetton |
| 223 | | | | | | | | | | | t$_{0,1,3,4,5,6}${3,3,3,3,3,3,4} Hexipentisteriruncitruncated 8-orthoplex Petitericelliprismatotruncated diacosipentacontahexazetton |
| 224 | | | | | | | | | | | t$_{0,2,3,4,5,6}${3,3,3,3,3,3,4} Hexipentisteriruncicantellated 8-orthoplex Petitericelliprismatorhombated diacosipentacontahexazetton |
| 225 | | | | | | | | | | | t$_{1,2,3,4,5,6}${4,3,3,3,3,3,3} Bipentisteriruncicantitruncated 8-cube Great biteri-octeractidiacosipentacontahexazetton |
| 226 | | | | | | | | | | | t$_{0,1,2,3,4,7}${3,3,3,3,3,3,4} Heptisteriruncicantitruncated 8-orthoplex Exigreatocellated diacosipentacontahexazetton |
| 227 | | | | | | | | | | | t$_{0,1,2,3,5,7}${3,3,3,3,3,3,4} Heptipentiruncicantitruncated 8-orthoplex Exiterigreatoprismated diacosipentacontahexazetton |
| 228 | | | | | | | | | | | t$_{0,1,2,4,5,7}${3,3,3,3,3,3,4} Heptipentistericantitruncated 8-orthoplex Exitericelligreatorhombated diacosipentacontahexazetton |
| 229 | | | | | | | | | | | t$_{0,1,3,4,5,7}${3,3,3,3,3,3,4} Heptipentisteriruncitruncated 8-orthoplex Exitericelliprismatotruncated diacosipentacontahexazetton |
| 230 | | | | | | | | | | | t$_{0,2,3,4,5,7}${4,3,3,3,3,3,3} Heptipentisteriruncicantellated 8-cube Exitericelliprismatorhombi-octeractidiacosipentacontahexazetton |
| 231 | | | | | | | | | | | t$_{0,2,3,4,5,6}${4,3,3,3,3,3,3} Hexipentisteriruncicantellated 8-cube Petitericelliprismatorhombated octeract |
| 232 | | | | | | | | | | | t$_{0,1,2,3,6,7}${3,3,3,3,3,3,4} Heptihexiruncicantitruncated 8-orthoplex Exipetigreatoprismated diacosipentacontahexazetton |
| 233 | | | | | | | | | | | t$_{0,1,2,4,6,7}${3,3,3,3,3,3,4} Heptihexistericantitruncated 8-orthoplex Exipeticelligreatorhombated diacosipentacontahexazetton |
| 234 | | | | | | | | | | | t$_{0,1,3,4,6,7}${4,3,3,3,3,3,3} Heptihexisteriruncitruncated 8-cube Exipeticelliprismatotrunki-octeractidiacosipentacontahexazetton |
| 235 | | | | | | | | | | | t$_{0,1,3,4,5,7}${4,3,3,3,3,3,3} Heptipentisteriruncitruncated 8-cube Exitericelliprismatotruncated octeract |
| 236 | | | | | | | | | | | t$_{0,1,3,4,5,6}${4,3,3,3,3,3,3} Hexipentisteriruncitruncated 8-cube Petitericelliprismatotruncated octeract |
| 237 | | | | | | | | | | | t$_{0,1,2,5,6,7}${4,3,3,3,3,3,3} Heptihexipenticantitruncated 8-cube Exipetiterigreatorhombi-octeractidiacosipentacontahexazetton |
| 238 | | | | | | | | | | | t$_{0,1,2,4,6,7}${4,3,3,3,3,3,3} Heptihexistericantitruncated 8-cube Exipeticelligreatorhombated octeract |
| 239 | | | | | | | | | | | t$_{0,1,2,4,5,7}${4,3,3,3,3,3,3} Heptipentistericantitruncated 8-cube Exitericelligreatorhombated octeract |
| 240 | | | | | | | | | | | t$_{0,1,2,4,5,6}${4,3,3,3,3,3,3} Hexipentistericantitruncated 8-cube Petitericelligreatorhombated octeract |
| 241 | | | | | | | | | | | t$_{0,1,2,3,6,7}${4,3,3,3,3,3,3} Heptihexiruncicantitruncated 8-cube Exipetigreatoprismated octeract |
| 242 | | | | | | | | | | | t$_{0,1,2,3,5,7}${4,3,3,3,3,3,3} Heptipentiruncicantitruncated 8-cube Exiterigreatoprismated octeract |
| 243 | | | | | | | | | | | t$_{0,1,2,3,5,6}${4,3,3,3,3,3,3} Hexipentiruncicantitruncated 8-cube Petiterigreatoprismated octeract |
| 244 | | | | | | | | | | | t$_{0,1,2,3,4,7}${4,3,3,3,3,3,3} Heptisteriruncicantitruncated 8-cube Exigreatocellated octeract |
| 245 | | | | | | | | | | | t$_{0,1,2,3,4,6}${4,3,3,3,3,3,3} Hexisteriruncicantitruncated 8-cube Petigreatocellated octeract |
| 246 | | | | | | | | | | | t$_{0,1,2,3,4,5}${4,3,3,3,3,3,3} Pentisteriruncicantitruncated 8-cube Great terated octeract |
| 247 | | | | | | | | | | | t$_{0,1,2,3,4,5,6}${3,3,3,3,3,3,4} Hexipentisteriruncicantitruncated 8-orthoplex Great petated diacosipentacontahexazetton |
| 248 | | | | | | | | | | | t$_{0,1,2,3,4,5,7}${3,3,3,3,3,3,4} Heptipentisteriruncicantitruncated 8-orthoplex Exigreatoterated diacosipentacontahexazetton |
| 249 | | | | | | | | | | | t$_{0,1,2,3,4,6,7}${3,3,3,3,3,3,4} Heptihexisteriruncicantitruncated 8-orthoplex Exipetigreatocellated diacosipentacontahexazetton |
| 250 | | | | | | | | | | | t$_{0,1,2,3,5,6,7}${3,3,3,3,3,3,4} Heptihexipentiruncicantitruncated 8-orthoplex Exipetiterigreatoprismated diacosipentacontahexazetton |
| 251 | | | | | | | | | | | t$_{0,1,2,3,5,6,7}${4,3,3,3,3,3,3} Heptihexipentiruncicantitruncated 8-cube Exipetiterigreatoprismated octeract |
| 252 | | | | | | | | | | | t$_{0,1,2,3,4,6,7}${4,3,3,3,3,3,3} Heptihexisteriruncicantitruncated 8-cube Exipetigreatocellated octeract |
| 253 | | | | | | | | | | | t$_{0,1,2,3,4,5,7}${4,3,3,3,3,3,3} Heptipentisteriruncicantitruncated 8-cube Exigreatoterated octeract |
| 254 | | | | | | | | | | | t$_{0,1,2,3,4,5,6}${4,3,3,3,3,3,3} Hexipentisteriruncicantitruncated 8-cube Great petated octeract |
| 255 | | | | | | | | | | | t$_{0,1,2,3,4,5,6,7}${4,3,3,3,3,3,3} Omnitruncated 8-cube Great exi-octeractidiacosipentacontahexazetton |
| 256 | | | | | | | | | | | h$_0${4,3,3,3,3,3,3} 8-demicube Hemiocteract |