List of B8 polytopes
Encyclopedia
8-cube |
8-orthoplex |
8-demicube |
In 8-dimensional geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, there are 256 uniform polytopes with B8 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 projection
Orthographic projection
Orthographic projection is a means of representing a three-dimensional object in two dimensions. It is a form of parallel projection, where all the projection lines are orthogonal to the projection plane, resulting in every plane of the scene appearing in affine transformation on the viewing surface...
s in Coxeter planes of the B8 Coxeter group, and other subgroups.
Graphs
Symmetric orthographic projectionOrthographic projection
Orthographic projection is a means of representing a three-dimensional object in two dimensions. It is a form of parallel projection, where all the projection lines are orthogonal to the projection plane, resulting in every plane of the scene appearing in affine transformation on the viewing surface...
s of these 256 polytopes can be made in the B8, B7, B6, B5, B4, B3, B2, A7, A5, A3, Coxeter planes. Ak has [k+1] symmetry, and Bk 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 | Coxeter-Dynkin diagram Coxeter-Dynkin diagram In geometry, a Coxeter–Dynkin diagram is a graph with numerically labeled edges representing the spatial relations between a collection of mirrors... Schläfli symbol Name |
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| B8 [16] |
B7 [14] |
B6 [12] |
B5 [10] |
B4 [8] |
B3 [6] |
B2 [4] |
A7 [8] |
A5 [6] |
A3 [4] |
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| 1 | t0{3,3,3,3,3,3,4} 8-orthoplex Diacosipentacontahexazetton (ek) |
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| 2 | t1{3,3,3,3,3,3,4} Rectified 8-orthoplex Rectified diacosipentacontahexazetton (rek) |
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| 3 | t2{3,3,3,3,3,3,4} Birectified 8-orthoplex Birectified diacosipentacontahexazetton (bark) |
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| 4 | t3{3,3,3,3,3,3,4} Trirectified 8-orthoplex Trirectified diacosipentacontahexazetton (tark) |
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| 5 | t3{4,3,3,3,3,3,3} Trirectified 8-cube Trirectified octeract (tro) |
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| 6 | t2{4,3,3,3,3,3,3} Birectified 8-cube Birectified octeract (bro) |
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| 7 | t1{4,3,3,3,3,3,3} Rectified 8-cube Rectified 8-cube In eight-dimensional geometry, a rectified 8-cube is a convex uniform 8-polytope, being a rectification of the regular 8-cube.There are unique 8 degrees of rectifications, the zeroth being the 8-cube, and the 7th and last being the 8-orthoplex. Vertices of the rectified 8-cube are located at the... Rectified octeract (recto) |
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| 8 | t0{4,3,3,3,3,3,3} 8-cube Octeract (octo) |
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| 9 | t0,1{3,3,3,3,3,3,4} Truncated 8-orthoplex Truncated 8-orthoplex In eight-dimensional geometry, a truncated 8-orthoplex is a convex uniform 8-polytope, being a truncation of the regular 8-orthoplex.There are 7 truncation for the 8-orthoplex. Vertices of the truncation 8-orthoplex are located as pairs on the edge of the 8-orthoplex. Vertices of the bitruncated... Truncated diacosipentacontahexazetton (tek) |
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| 10 | t0,2{3,3,3,3,3,3,4} Cantellated 8-orthoplex Small rhombated diacosipentacontahexazetton (srek) |
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| 11 | t1,2{3,3,3,3,3,3,4} Bitruncated 8-orthoplex Bitruncated diacosipentacontahexazetton (batek) |
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| 12 | t0,3{3,3,3,3,3,3,4} Runcinated 8-orthoplex Small prismated diacosipentacontahexazetton (spek) |
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| 13 | t1,3{3,3,3,3,3,3,4} Bicantellated 8-orthoplex Small birhombated diacosipentacontahexazetton (sabork) |
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| 14 | t2,3{3,3,3,3,3,3,4} Tritruncated 8-orthoplex Tritruncated diacosipentacontahexazetton (tatek) |
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| 15 | t0,4{3,3,3,3,3,3,4} Stericated 8-orthoplex Small cellated diacosipentacontahexazetton (scak) |
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| 16 | t1,4{3,3,3,3,3,3,4} Biruncinated 8-orthoplex Small biprismated diacosipentacontahexazetton (sabpek) |
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| 17 | t2,4{3,3,3,3,3,3,4} Tricantellated 8-orthoplex Small trirhombated diacosipentacontahexazetton (satrek) |
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| 18 | t3,4{4,3,3,3,3,3,3} Quadritruncated 8-cube Octeractidiacosipentacontahexazetton (oke) |
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| 19 | t0,5{3,3,3,3,3,3,4} Pentellated 8-orthoplex Small terated diacosipentacontahexazetton (setek) |
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| 20 | t1,5{3,3,3,3,3,3,4} Bistericated 8-orthoplex Small bicellated diacosipentacontahexazetton (sibcak) |
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| 21 | t2,5{4,3,3,3,3,3,3} Triruncinated 8-cube Small triprismato-octeractidiacosipentacontahexazetton (sitpoke) |
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| 22 | t2,4{4,3,3,3,3,3,3} Tricantellated 8-cube Small trirhombated octeract (satro) |
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| 23 | t2,3{4,3,3,3,3,3,3} Tritruncated 8-cube Tritruncated octeract (tato) |
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| 24 | t0,6{3,3,3,3,3,3,4} Hexicated 8-orthoplex Small petated diacosipentacontahexazetton (supek) |
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| 25 | t1,6{4,3,3,3,3,3,3} Bipentellated 8-cube Small biteri-octeractidiacosipentacontahexazetton (sabtoke) |
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| 26 | t1,5{4,3,3,3,3,3,3} Bistericated 8-cube Small bicellated octeract (sobco) |
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| 27 | t1,4{4,3,3,3,3,3,3} Biruncinated 8-cube Small biprismated octeract (sabepo) |
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| 28 | t1,3{4,3,3,3,3,3,3} Bicantellated 8-cube Small birhombated octeract (subro) |
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| 29 | t1,2{4,3,3,3,3,3,3} Bitruncated 8-cube Bitruncated octeract (bato) |
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| 30 | t0,7{4,3,3,3,3,3,3} Heptellated 8-cube Small exi-octeractidiacosipentacontahexazetton (saxoke) |
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| 31 | t0,6{4,3,3,3,3,3,3} Hexicated 8-cube Small petated octeract (supo) |
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| 32 | t0,5{4,3,3,3,3,3,3} Pentellated 8-cube Small terated octeract (soto) |
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| 33 | t0,4{4,3,3,3,3,3,3} Stericated 8-cube Small cellated octeract (soco) |
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| 34 | t0,3{4,3,3,3,3,3,3} Runcinated 8-cube Small prismated octeract (sopo) |
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| 35 | t0,2{4,3,3,3,3,3,3} Cantellated 8-cube Small rhombated octeract (soro) |
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| 36 | t0,1{4,3,3,3,3,3,3} Truncated 8-cube Truncated 8-cube In eight-dimensional geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube.There are unique 7 degrees of truncation for the 8-cube. Vertices of the truncation 8-cube are located as pairs on the edge of the 8-cube. Vertices of the bitruncated 8-cube... Truncated octeract (tocto) |
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| 37 | t0,1,2{3,3,3,3,3,3,4} Cantitruncated 8-orthoplex Great rhombated diacosipentacontahexazetton |
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| 38 | t0,1,3{3,3,3,3,3,3,4} Runcitruncated 8-orthoplex Prismatotruncated diacosipentacontahexazetton |
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| 39 | t0,2,3{3,3,3,3,3,3,4} Runcicantellated 8-orthoplex Prismatorhombated diacosipentacontahexazetton |
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| 40 | t1,2,3{3,3,3,3,3,3,4} Bicantitruncated 8-orthoplex Great birhombated diacosipentacontahexazetton |
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| 41 | t0,1,4{3,3,3,3,3,3,4} Steritruncated 8-orthoplex Cellitruncated diacosipentacontahexazetton |
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| 42 | t0,2,4{3,3,3,3,3,3,4} Stericantellated 8-orthoplex Cellirhombated diacosipentacontahexazetton |
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| 43 | t1,2,4{3,3,3,3,3,3,4} Biruncitruncated 8-orthoplex Biprismatotruncated diacosipentacontahexazetton |
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| 44 | t0,3,4{3,3,3,3,3,3,4} Steriruncinated 8-orthoplex Celliprismated diacosipentacontahexazetton |
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| 45 | t1,3,4{3,3,3,3,3,3,4} Biruncicantellated 8-orthoplex Biprismatorhombated diacosipentacontahexazetton |
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| 46 | t2,3,4{3,3,3,3,3,3,4} Tricantitruncated 8-orthoplex Great trirhombated diacosipentacontahexazetton |
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| 47 | t0,1,5{3,3,3,3,3,3,4} Pentitruncated 8-orthoplex Teritruncated diacosipentacontahexazetton |
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| 48 | t0,2,5{3,3,3,3,3,3,4} Penticantellated 8-orthoplex Terirhombated diacosipentacontahexazetton |
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| 49 | t1,2,5{3,3,3,3,3,3,4} Bisteritruncated 8-orthoplex Bicellitruncated diacosipentacontahexazetton |
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| 50 | t0,3,5{3,3,3,3,3,3,4} Pentiruncinated 8-orthoplex Teriprismated diacosipentacontahexazetton |
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| 51 | t1,3,5{3,3,3,3,3,3,4} Bistericantellated 8-orthoplex Bicellirhombated diacosipentacontahexazetton |
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| 52 | t2,3,5{3,3,3,3,3,3,4} Triruncitruncated 8-orthoplex Triprismatotruncated diacosipentacontahexazetton |
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| 53 | t0,4,5{3,3,3,3,3,3,4} Pentistericated 8-orthoplex Tericellated diacosipentacontahexazetton |
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| 54 | t1,4,5{3,3,3,3,3,3,4} Bisteriruncinated 8-orthoplex Bicelliprismated diacosipentacontahexazetton |
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| 55 | t2,3,5{4,3,3,3,3,3,3} Triruncitruncated 8-cube Triprismatotruncated octeract |
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| 56 | t2,3,4{4,3,3,3,3,3,3} Tricantitruncated 8-cube Great trirhombated octeract |
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| 57 | t0,1,6{3,3,3,3,3,3,4} Hexitruncated 8-orthoplex Petitruncated diacosipentacontahexazetton |
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| 58 | t0,2,6{3,3,3,3,3,3,4} Hexicantellated 8-orthoplex Petirhombated diacosipentacontahexazetton |
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| 59 | t1,2,6{3,3,3,3,3,3,4} Bipentitruncated 8-orthoplex Biteritruncated diacosipentacontahexazetton |
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| 60 | t0,3,6{3,3,3,3,3,3,4} Hexiruncinated 8-orthoplex Petiprismated diacosipentacontahexazetton |
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| 61 | t1,3,6{3,3,3,3,3,3,4} Bipenticantellated 8-orthoplex Biterirhombated diacosipentacontahexazetton |
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| 62 | t1,4,5{4,3,3,3,3,3,3} Bisteriruncinated 8-cube Bicelliprismated octeract |
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| 63 | t0,4,6{3,3,3,3,3,3,4} Hexistericated 8-orthoplex Peticellated diacosipentacontahexazetton |
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| 64 | t1,3,6{4,3,3,3,3,3,3} Bipenticantellated 8-cube Biterirhombated octeract |
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| 65 | t1,3,5{4,3,3,3,3,3,3} Bistericantellated 8-cube Bicellirhombated octeract |
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| 66 | t1,3,4{4,3,3,3,3,3,3} Biruncicantellated 8-cube Biprismatorhombated octeract |
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| 67 | t0,5,6{3,3,3,3,3,3,4} Hexipentellated 8-orthoplex Petiterated diacosipentacontahexazetton |
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| 68 | t1,2,6{4,3,3,3,3,3,3} Bipentitruncated 8-cube Biteritruncated octeract |
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| 69 | t1,2,5{4,3,3,3,3,3,3} Bisteritruncated 8-cube Bicellitruncated octeract |
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| 70 | t1,2,4{4,3,3,3,3,3,3} Biruncitruncated 8-cube Biprismatotruncated octeract |
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| 71 | t1,2,3{4,3,3,3,3,3,3} Bicantitruncated 8-cube Great birhombated octeract |
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| 72 | t0,1,7{3,3,3,3,3,3,4} Heptitruncated 8-orthoplex Exitruncated diacosipentacontahexazetton |
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| 73 | t0,2,7{3,3,3,3,3,3,4} Hepticantellated 8-orthoplex Exirhombated diacosipentacontahexazetton |
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| 74 | t0,5,6{4,3,3,3,3,3,3} Hexipentellated 8-cube Petiterated octeract |
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| 75 | t0,3,7{3,3,3,3,3,3,4} Heptiruncinated 8-orthoplex Exiprismated diacosipentacontahexazetton |
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| 76 | t0,4,6{4,3,3,3,3,3,3} Hexistericated 8-cube Peticellated octeract |
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| 77 | t0,4,5{4,3,3,3,3,3,3} Pentistericated 8-cube Tericellated octeract |
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| 78 | t0,3,7{4,3,3,3,3,3,3} Heptiruncinated 8-cube Exiprismated octeract |
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| 79 | t0,3,6{4,3,3,3,3,3,3} Hexiruncinated 8-cube Petiprismated octeract |
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| 80 | t0,3,5{4,3,3,3,3,3,3} Pentiruncinated 8-cube Teriprismated octeract |
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| 81 | t0,3,4{4,3,3,3,3,3,3} Steriruncinated 8-cube Celliprismated octeract |
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| 82 | t0,2,7{4,3,3,3,3,3,3} Hepticantellated 8-cube Exirhombated octeract |
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| 83 | t0,2,6{4,3,3,3,3,3,3} Hexicantellated 8-cube Petirhombated octeract |
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| 84 | t0,2,5{4,3,3,3,3,3,3} Penticantellated 8-cube Terirhombated octeract |
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| 85 | t0,2,4{4,3,3,3,3,3,3} Stericantellated 8-cube Cellirhombated octeract |
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| 86 | t0,2,3{4,3,3,3,3,3,3} Runcicantellated 8-cube Prismatorhombated octeract |
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| 87 | t0,1,7{4,3,3,3,3,3,3} Heptitruncated 8-cube Exitruncated octeract |
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| 88 | t0,1,6{4,3,3,3,3,3,3} Hexitruncated 8-cube Petitruncated octeract |
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| 89 | t0,1,5{4,3,3,3,3,3,3} Pentitruncated 8-cube Teritruncated octeract |
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| 90 | t0,1,4{4,3,3,3,3,3,3} Steritruncated 8-cube Cellitruncated octeract |
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| 91 | t0,1,3{4,3,3,3,3,3,3} Runcitruncated 8-cube Prismatotruncated octeract |
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| 92 | t0,1,2{4,3,3,3,3,3,3} Cantitruncated 8-cube Great rhombated octeract |
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| 93 | t0,1,2,3{3,3,3,3,3,3,4} Runcicantitruncated 8-orthoplex Great prismated diacosipentacontahexazetton |
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| 94 | t0,1,2,4{3,3,3,3,3,3,4} Stericantitruncated 8-orthoplex Celligreatorhombated diacosipentacontahexazetton |
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| 95 | t0,1,3,4{3,3,3,3,3,3,4} Steriruncitruncated 8-orthoplex Celliprismatotruncated diacosipentacontahexazetton |
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| 96 | t0,2,3,4{3,3,3,3,3,3,4} Steriruncicantellated 8-orthoplex Celliprismatorhombated diacosipentacontahexazetton |
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| 97 | t1,2,3,4{3,3,3,3,3,3,4} Biruncicantitruncated 8-orthoplex Great biprismated diacosipentacontahexazetton |
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| 98 | t0,1,2,5{3,3,3,3,3,3,4} Penticantitruncated 8-orthoplex Terigreatorhombated diacosipentacontahexazetton |
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| 99 | t0,1,3,5{3,3,3,3,3,3,4} Pentiruncitruncated 8-orthoplex Teriprismatotruncated diacosipentacontahexazetton |
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| 100 | t0,2,3,5{3,3,3,3,3,3,4} Pentiruncicantellated 8-orthoplex Teriprismatorhombated diacosipentacontahexazetton |
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| 101 | t1,2,3,5{3,3,3,3,3,3,4} Bistericantitruncated 8-orthoplex Bicelligreatorhombated diacosipentacontahexazetton |
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| 102 | t0,1,4,5{3,3,3,3,3,3,4} Pentisteritruncated 8-orthoplex Tericellitruncated diacosipentacontahexazetton |
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| 103 | t0,2,4,5{3,3,3,3,3,3,4} Pentistericantellated 8-orthoplex Tericellirhombated diacosipentacontahexazetton |
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| 104 | t1,2,4,5{3,3,3,3,3,3,4} Bisteriruncitruncated 8-orthoplex Bicelliprismatotruncated diacosipentacontahexazetton |
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| 105 | t0,3,4,5{3,3,3,3,3,3,4} Pentisteriruncinated 8-orthoplex Tericelliprismated diacosipentacontahexazetton |
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| 106 | t1,3,4,5{3,3,3,3,3,3,4} Bisteriruncicantellated 8-orthoplex Bicelliprismatorhombated diacosipentacontahexazetton |
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| 107 | t2,3,4,5{4,3,3,3,3,3,3} Triruncicantitruncated 8-cube Great triprismato-octeractidiacosipentacontahexazetton |
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| 108 | t0,1,2,6{3,3,3,3,3,3,4} Hexicantitruncated 8-orthoplex Petigreatorhombated diacosipentacontahexazetton |
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| 109 | t0,1,3,6{3,3,3,3,3,3,4} Hexiruncitruncated 8-orthoplex Petiprismatotruncated diacosipentacontahexazetton |
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| 110 | t0,2,3,6{3,3,3,3,3,3,4} Hexiruncicantellated 8-orthoplex Petiprismatorhombated diacosipentacontahexazetton |
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| 111 | t1,2,3,6{3,3,3,3,3,3,4} Bipenticantitruncated 8-orthoplex Biterigreatorhombated diacosipentacontahexazetton |
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| 112 | t0,1,4,6{3,3,3,3,3,3,4} Hexisteritruncated 8-orthoplex Peticellitruncated diacosipentacontahexazetton |
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| 113 | t0,2,4,6{3,3,3,3,3,3,4} Hexistericantellated 8-orthoplex Peticellirhombated diacosipentacontahexazetton |
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| 114 | t1,2,4,6{3,3,3,3,3,3,4} Bipentiruncitruncated 8-orthoplex Biteriprismatotruncated diacosipentacontahexazetton |
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| 115 | t0,3,4,6{3,3,3,3,3,3,4} Hexisteriruncinated 8-orthoplex Peticelliprismated diacosipentacontahexazetton |
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| 116 | t1,3,4,6{4,3,3,3,3,3,3} Bipentiruncicantellated 8-cube Biteriprismatorhombi-octeractidiacosipentacontahexazetton |
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| 117 | t1,3,4,5{4,3,3,3,3,3,3} Bisteriruncicantellated 8-cube Bicelliprismatorhombated octeract |
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| 118 | t0,1,5,6{3,3,3,3,3,3,4} Hexipentitruncated 8-orthoplex Petiteritruncated diacosipentacontahexazetton |
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| 119 | t0,2,5,6{3,3,3,3,3,3,4} Hexipenticantellated 8-orthoplex Petiterirhombated diacosipentacontahexazetton |
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| 120 | t1,2,5,6{4,3,3,3,3,3,3} Bipentisteritruncated 8-cube Bitericellitrunki-octeractidiacosipentacontahexazetton |
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| 121 | t0,3,5,6{3,3,3,3,3,3,4} Hexipentiruncinated 8-orthoplex Petiteriprismated diacosipentacontahexazetton |
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| 122 | t1,2,4,6{4,3,3,3,3,3,3} Bipentiruncitruncated 8-cube Biteriprismatotruncated octeract |
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| 123 | t1,2,4,5{4,3,3,3,3,3,3} Bisteriruncitruncated 8-cube Bicelliprismatotruncated octeract |
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| 124 | t0,4,5,6{3,3,3,3,3,3,4} Hexipentistericated 8-orthoplex Petitericellated diacosipentacontahexazetton |
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| 125 | t1,2,3,6{4,3,3,3,3,3,3} Bipenticantitruncated 8-cube Biterigreatorhombated octeract |
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| 126 | t1,2,3,5{4,3,3,3,3,3,3} Bistericantitruncated 8-cube Bicelligreatorhombated octeract |
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| 127 | t1,2,3,4{4,3,3,3,3,3,3} Biruncicantitruncated 8-cube Great biprismated octeract |
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| 128 | t0,1,2,7{3,3,3,3,3,3,4} Hepticantitruncated 8-orthoplex Exigreatorhombated diacosipentacontahexazetton |
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| 129 | t0,1,3,7{3,3,3,3,3,3,4} Heptiruncitruncated 8-orthoplex Exiprismatotruncated diacosipentacontahexazetton |
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| 130 | t0,2,3,7{3,3,3,3,3,3,4} Heptiruncicantellated 8-orthoplex Exiprismatorhombated diacosipentacontahexazetton |
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| 131 | t0,4,5,6{4,3,3,3,3,3,3} Hexipentistericated 8-cube Petitericellated octeract |
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| 132 | t0,1,4,7{3,3,3,3,3,3,4} Heptisteritruncated 8-orthoplex Exicellitruncated diacosipentacontahexazetton |
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| 133 | t0,2,4,7{3,3,3,3,3,3,4} Heptistericantellated 8-orthoplex Exicellirhombated diacosipentacontahexazetton |
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| 134 | t0,3,5,6{4,3,3,3,3,3,3} Hexipentiruncinated 8-cube Petiteriprismated octeract |
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| 135 | t0,3,4,7{4,3,3,3,3,3,3} Heptisteriruncinated 8-cube Exicelliprismato-octeractidiacosipentacontahexazetton |
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| 136 | t0,3,4,6{4,3,3,3,3,3,3} Hexisteriruncinated 8-cube Peticelliprismated octeract |
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| 137 | t0,3,4,5{4,3,3,3,3,3,3} Pentisteriruncinated 8-cube Tericelliprismated octeract |
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| 138 | t0,1,5,7{3,3,3,3,3,3,4} Heptipentitruncated 8-orthoplex Exiteritruncated diacosipentacontahexazetton |
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| 139 | t0,2,5,7{4,3,3,3,3,3,3} Heptipenticantellated 8-cube Exiterirhombi-octeractidiacosipentacontahexazetton |
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| 140 | t0,2,5,6{4,3,3,3,3,3,3} Hexipenticantellated 8-cube Petiterirhombated octeract |
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| 141 | t0,2,4,7{4,3,3,3,3,3,3} Heptistericantellated 8-cube Exicellirhombated octeract |
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| 142 | t0,2,4,6{4,3,3,3,3,3,3} Hexistericantellated 8-cube Peticellirhombated octeract |
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| 143 | t0,2,4,5{4,3,3,3,3,3,3} Pentistericantellated 8-cube Tericellirhombated octeract |
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| 144 | t0,2,3,7{4,3,3,3,3,3,3} Heptiruncicantellated 8-cube Exiprismatorhombated octeract |
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| 145 | t0,2,3,6{4,3,3,3,3,3,3} Hexiruncicantellated 8-cube Petiprismatorhombated octeract |
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| 146 | t0,2,3,5{4,3,3,3,3,3,3} Pentiruncicantellated 8-cube Teriprismatorhombated octeract |
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| 147 | t0,2,3,4{4,3,3,3,3,3,3} Steriruncicantellated 8-cube Celliprismatorhombated octeract |
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| 148 | | | t0,1,6,7{4,3,3,3,3,3,3} Heptihexitruncated 8-cube Exipetitrunki-octeractidiacosipentacontahexazetton |
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| 149 | | | t0,1,5,7{4,3,3,3,3,3,3} Heptipentitruncated 8-cube Exiteritruncated octeract |
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| 150 | | | t0,1,5,6{4,3,3,3,3,3,3} Hexipentitruncated 8-cube Petiteritruncated octeract |
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| 151 | | | t0,1,4,7{4,3,3,3,3,3,3} Heptisteritruncated 8-cube Exicellitruncated octeract |
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| 152 | | | t0,1,4,6{4,3,3,3,3,3,3} Hexisteritruncated 8-cube Peticellitruncated octeract |
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| 153 | | | t0,1,4,5{4,3,3,3,3,3,3} Pentisteritruncated 8-cube Tericellitruncated octeract |
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| 154 | | | t0,1,3,7{4,3,3,3,3,3,3} Heptiruncitruncated 8-cube Exiprismatotruncated octeract |
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| 155 | | | t0,1,3,6{4,3,3,3,3,3,3} Hexiruncitruncated 8-cube Petiprismatotruncated octeract |
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| 156 | | | t0,1,3,5{4,3,3,3,3,3,3} Pentiruncitruncated 8-cube Teriprismatotruncated octeract |
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| 157 | | | t0,1,3,4{4,3,3,3,3,3,3} Steriruncitruncated 8-cube Celliprismatotruncated octeract |
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| 158 | | | t0,1,2,7{4,3,3,3,3,3,3} Hepticantitruncated 8-cube Exigreatorhombated octeract |
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| 159 | | | t0,1,2,6{4,3,3,3,3,3,3} Hexicantitruncated 8-cube Petigreatorhombated octeract |
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| 160 | | | t0,1,2,5{4,3,3,3,3,3,3} Penticantitruncated 8-cube Terigreatorhombated octeract |
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| 161 | | | t0,1,2,4{4,3,3,3,3,3,3} Stericantitruncated 8-cube Celligreatorhombated octeract |
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| 162 | | | t0,1,2,3{4,3,3,3,3,3,3} Runcicantitruncated 8-cube Great prismated octeract |
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| 163 | t0,1,2,3,4{3,3,3,3,3,3,4} Steriruncicantitruncated 8-orthoplex Great cellated diacosipentacontahexazetton |
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| 164 | t0,1,2,3,5{3,3,3,3,3,3,4} Pentiruncicantitruncated 8-orthoplex Terigreatoprismated diacosipentacontahexazetton |
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| 165 | t0,1,2,4,5{3,3,3,3,3,3,4} Pentistericantitruncated 8-orthoplex Tericelligreatorhombated diacosipentacontahexazetton |
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| 166 | t0,1,3,4,5{3,3,3,3,3,3,4} Pentisteriruncitruncated 8-orthoplex Tericelliprismatotruncated diacosipentacontahexazetton |
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| 167 | t0,2,3,4,5{3,3,3,3,3,3,4} Pentisteriruncicantellated 8-orthoplex Tericelliprismatorhombated diacosipentacontahexazetton |
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| 168 | t1,2,3,4,5{3,3,3,3,3,3,4} Bisteriruncicantitruncated 8-orthoplex Great bicellated diacosipentacontahexazetton |
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| 169 | t0,1,2,3,6{3,3,3,3,3,3,4} Hexiruncicantitruncated 8-orthoplex Petigreatoprismated diacosipentacontahexazetton |
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| 170 | t0,1,2,4,6{3,3,3,3,3,3,4} Hexistericantitruncated 8-orthoplex Peticelligreatorhombated diacosipentacontahexazetton |
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| 171 | t0,1,3,4,6{3,3,3,3,3,3,4} Hexisteriruncitruncated 8-orthoplex Peticelliprismatotruncated diacosipentacontahexazetton |
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| 172 | t0,2,3,4,6{3,3,3,3,3,3,4} Hexisteriruncicantellated 8-orthoplex Peticelliprismatorhombated diacosipentacontahexazetton |
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| 173 | t1,2,3,4,6{3,3,3,3,3,3,4} Bipentiruncicantitruncated 8-orthoplex Biterigreatoprismated diacosipentacontahexazetton |
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| 174 | t0,1,2,5,6{3,3,3,3,3,3,4} Hexipenticantitruncated 8-orthoplex Petiterigreatorhombated diacosipentacontahexazetton |
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| 175 | t0,1,3,5,6{3,3,3,3,3,3,4} Hexipentiruncitruncated 8-orthoplex Petiteriprismatotruncated diacosipentacontahexazetton |
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| 176 | t0,2,3,5,6{3,3,3,3,3,3,4} Hexipentiruncicantellated 8-orthoplex Petiteriprismatorhombated diacosipentacontahexazetton |
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| 177 | t1,2,3,5,6{3,3,3,3,3,3,4} Bipentistericantitruncated 8-orthoplex Bitericelligreatorhombated diacosipentacontahexazetton |
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| 178 | t0,1,4,5,6{3,3,3,3,3,3,4} Hexipentisteritruncated 8-orthoplex Petitericellitruncated diacosipentacontahexazetton |
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| 179 | t0,2,4,5,6{3,3,3,3,3,3,4} Hexipentistericantellated 8-orthoplex Petitericellirhombated diacosipentacontahexazetton |
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| 180 | t1,2,3,5,6{4,3,3,3,3,3,3} Bipentistericantitruncated 8-cube Bitericelligreatorhombated octeract |
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| 181 | t0,3,4,5,6{3,3,3,3,3,3,4} Hexipentisteriruncinated 8-orthoplex Petitericelliprismated diacosipentacontahexazetton |
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| 182 | t1,2,3,4,6{4,3,3,3,3,3,3} Bipentiruncicantitruncated 8-cube Biterigreatoprismated octeract |
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| 183 | t1,2,3,4,5{4,3,3,3,3,3,3} Bisteriruncicantitruncated 8-cube Great bicellated octeract |
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| 184 | t0,1,2,3,7{3,3,3,3,3,3,4} Heptiruncicantitruncated 8-orthoplex Exigreatoprismated diacosipentacontahexazetton |
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| 185 | t0,1,2,4,7{3,3,3,3,3,3,4} Heptistericantitruncated 8-orthoplex Exicelligreatorhombated diacosipentacontahexazetton |
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| 186 | t0,1,3,4,7{3,3,3,3,3,3,4} Heptisteriruncitruncated 8-orthoplex Exicelliprismatotruncated diacosipentacontahexazetton |
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| 187 | t0,2,3,4,7{3,3,3,3,3,3,4} Heptisteriruncicantellated 8-orthoplex Exicelliprismatorhombated diacosipentacontahexazetton |
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| 188 | t0,3,4,5,6{4,3,3,3,3,3,3} Hexipentisteriruncinated 8-cube Petitericelliprismated octeract |
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| 189 | t0,1,2,5,7{3,3,3,3,3,3,4} Heptipenticantitruncated 8-orthoplex Exiterigreatorhombated diacosipentacontahexazetton |
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| 190 | t0,1,3,5,7{3,3,3,3,3,3,4} Heptipentiruncitruncated 8-orthoplex Exiteriprismatotruncated diacosipentacontahexazetton |
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| 191 | t0,2,3,5,7{3,3,3,3,3,3,4} Heptipentiruncicantellated 8-orthoplex Exiteriprismatorhombated diacosipentacontahexazetton |
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| 192 | t0,2,4,5,6{4,3,3,3,3,3,3} Hexipentistericantellated 8-cube Petitericellirhombated octeract |
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| 193 | t0,1,4,5,7{3,3,3,3,3,3,4} Heptipentisteritruncated 8-orthoplex Exitericellitruncated diacosipentacontahexazetton |
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| 194 | t0,2,3,5,7{4,3,3,3,3,3,3} Heptipentiruncicantellated 8-cube Exiteriprismatorhombated octeract |
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| 195 | t0,2,3,5,6{4,3,3,3,3,3,3} Hexipentiruncicantellated 8-cube Petiteriprismatorhombated octeract |
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| 196 | t0,2,3,4,7{4,3,3,3,3,3,3} Heptisteriruncicantellated 8-cube Exicelliprismatorhombated octeract |
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| 197 | t0,2,3,4,6{4,3,3,3,3,3,3} Hexisteriruncicantellated 8-cube Peticelliprismatorhombated octeract |
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| 198 | t0,2,3,4,5{4,3,3,3,3,3,3} Pentisteriruncicantellated 8-cube Tericelliprismatorhombated octeract |
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| 199 | | | t0,1,2,6,7{3,3,3,3,3,3,4} Heptihexicantitruncated 8-orthoplex Exipetigreatorhombated diacosipentacontahexazetton |
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| 200 | | | t0,1,3,6,7{3,3,3,3,3,3,4} Heptihexiruncitruncated 8-orthoplex Exipetiprismatotruncated diacosipentacontahexazetton |
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| 201 | | | t0,1,4,5,7{4,3,3,3,3,3,3} Heptipentisteritruncated 8-cube Exitericellitruncated octeract |
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| 202 | | | t0,1,4,5,6{4,3,3,3,3,3,3} Hexipentisteritruncated 8-cube Petitericellitruncated octeract |
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| 203 | | | t0,1,3,6,7{4,3,3,3,3,3,3} Heptihexiruncitruncated 8-cube Exipetiprismatotruncated octeract |
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| 204 | | | t0,1,3,5,7{4,3,3,3,3,3,3} Heptipentiruncitruncated 8-cube Exiteriprismatotruncated octeract |
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| 205 | | | t0,1,3,5,6{4,3,3,3,3,3,3} Hexipentiruncitruncated 8-cube Petiteriprismatotruncated octeract |
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| 206 | | | t0,1,3,4,7{4,3,3,3,3,3,3} Heptisteriruncitruncated 8-cube Exicelliprismatotruncated octeract |
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| 207 | | | t0,1,3,4,6{4,3,3,3,3,3,3} Hexisteriruncitruncated 8-cube Peticelliprismatotruncated octeract |
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| 208 | | | t0,1,3,4,5{4,3,3,3,3,3,3} Pentisteriruncitruncated 8-cube Tericelliprismatotruncated octeract |
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| 209 | | | t0,1,2,6,7{4,3,3,3,3,3,3} Heptihexicantitruncated 8-cube Exipetigreatorhombated octeract |
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| 210 | | | t0,1,2,5,7{4,3,3,3,3,3,3} Heptipenticantitruncated 8-cube Exiterigreatorhombated octeract |
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| 211 | | | t0,1,2,5,6{4,3,3,3,3,3,3} Hexipenticantitruncated 8-cube Petiterigreatorhombated octeract |
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| 212 | | | t0,1,2,4,7{4,3,3,3,3,3,3} Heptistericantitruncated 8-cube Exicelligreatorhombated octeract |
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| 213 | | | t0,1,2,4,6{4,3,3,3,3,3,3} Hexistericantitruncated 8-cube Peticelligreatorhombated octeract |
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| 214 | | | t0,1,2,4,5{4,3,3,3,3,3,3} Pentistericantitruncated 8-cube Tericelligreatorhombated octeract |
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| 215 | | | t0,1,2,3,7{4,3,3,3,3,3,3} Heptiruncicantitruncated 8-cube Exigreatoprismated octeract |
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| 216 | | | t0,1,2,3,6{4,3,3,3,3,3,3} Hexiruncicantitruncated 8-cube Petigreatoprismated octeract |
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| 217 | | | t0,1,2,3,5{4,3,3,3,3,3,3} Pentiruncicantitruncated 8-cube Terigreatoprismated octeract |
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| 218 | | | t0,1,2,3,4{4,3,3,3,3,3,3} Steriruncicantitruncated 8-cube Great cellated octeract |
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| 219 | t0,1,2,3,4,5{3,3,3,3,3,3,4} Pentisteriruncicantitruncated 8-orthoplex Great terated diacosipentacontahexazetton |
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| 220 | t0,1,2,3,4,6{3,3,3,3,3,3,4} Hexisteriruncicantitruncated 8-orthoplex Petigreatocellated diacosipentacontahexazetton |
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| 221 | t0,1,2,3,5,6{3,3,3,3,3,3,4} Hexipentiruncicantitruncated 8-orthoplex Petiterigreatoprismated diacosipentacontahexazetton |
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| 222 | t0,1,2,4,5,6{3,3,3,3,3,3,4} Hexipentistericantitruncated 8-orthoplex Petitericelligreatorhombated diacosipentacontahexazetton |
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| 223 | t0,1,3,4,5,6{3,3,3,3,3,3,4} Hexipentisteriruncitruncated 8-orthoplex Petitericelliprismatotruncated diacosipentacontahexazetton |
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| 224 | t0,2,3,4,5,6{3,3,3,3,3,3,4} Hexipentisteriruncicantellated 8-orthoplex Petitericelliprismatorhombated diacosipentacontahexazetton |
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| 225 | t1,2,3,4,5,6{4,3,3,3,3,3,3} Bipentisteriruncicantitruncated 8-cube Great biteri-octeractidiacosipentacontahexazetton |
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| 226 | t0,1,2,3,4,7{3,3,3,3,3,3,4} Heptisteriruncicantitruncated 8-orthoplex Exigreatocellated diacosipentacontahexazetton |
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| 227 | t0,1,2,3,5,7{3,3,3,3,3,3,4} Heptipentiruncicantitruncated 8-orthoplex Exiterigreatoprismated diacosipentacontahexazetton |
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| 228 | t0,1,2,4,5,7{3,3,3,3,3,3,4} Heptipentistericantitruncated 8-orthoplex Exitericelligreatorhombated diacosipentacontahexazetton |
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| 229 | t0,1,3,4,5,7{3,3,3,3,3,3,4} Heptipentisteriruncitruncated 8-orthoplex Exitericelliprismatotruncated diacosipentacontahexazetton |
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| 230 | t0,2,3,4,5,7{4,3,3,3,3,3,3} Heptipentisteriruncicantellated 8-cube Exitericelliprismatorhombi-octeractidiacosipentacontahexazetton |
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| 231 | t0,2,3,4,5,6{4,3,3,3,3,3,3} Hexipentisteriruncicantellated 8-cube Petitericelliprismatorhombated octeract |
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| 232 | | | t0,1,2,3,6,7{3,3,3,3,3,3,4} Heptihexiruncicantitruncated 8-orthoplex Exipetigreatoprismated diacosipentacontahexazetton |
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| 233 | | | t0,1,2,4,6,7{3,3,3,3,3,3,4} Heptihexistericantitruncated 8-orthoplex Exipeticelligreatorhombated diacosipentacontahexazetton |
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| 234 | | | t0,1,3,4,6,7{4,3,3,3,3,3,3} Heptihexisteriruncitruncated 8-cube Exipeticelliprismatotrunki-octeractidiacosipentacontahexazetton |
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| 235 | | | t0,1,3,4,5,7{4,3,3,3,3,3,3} Heptipentisteriruncitruncated 8-cube Exitericelliprismatotruncated octeract |
|||||||||
| 236 | | | t0,1,3,4,5,6{4,3,3,3,3,3,3} Hexipentisteriruncitruncated 8-cube Petitericelliprismatotruncated octeract |
|||||||||
| 237 | | | t0,1,2,5,6,7{4,3,3,3,3,3,3} Heptihexipenticantitruncated 8-cube Exipetiterigreatorhombi-octeractidiacosipentacontahexazetton |
|||||||||
| 238 | | | t0,1,2,4,6,7{4,3,3,3,3,3,3} Heptihexistericantitruncated 8-cube Exipeticelligreatorhombated octeract |
|||||||||
| 239 | | | t0,1,2,4,5,7{4,3,3,3,3,3,3} Heptipentistericantitruncated 8-cube Exitericelligreatorhombated octeract |
|||||||||
| 240 | | | t0,1,2,4,5,6{4,3,3,3,3,3,3} Hexipentistericantitruncated 8-cube Petitericelligreatorhombated octeract |
|||||||||
| 241 | | | t0,1,2,3,6,7{4,3,3,3,3,3,3} Heptihexiruncicantitruncated 8-cube Exipetigreatoprismated octeract |
|||||||||
| 242 | | | t0,1,2,3,5,7{4,3,3,3,3,3,3} Heptipentiruncicantitruncated 8-cube Exiterigreatoprismated octeract |
|||||||||
| 243 | | | t0,1,2,3,5,6{4,3,3,3,3,3,3} Hexipentiruncicantitruncated 8-cube Petiterigreatoprismated octeract |
|||||||||
| 244 | | | t0,1,2,3,4,7{4,3,3,3,3,3,3} Heptisteriruncicantitruncated 8-cube Exigreatocellated octeract |
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| 245 | | | t0,1,2,3,4,6{4,3,3,3,3,3,3} Hexisteriruncicantitruncated 8-cube Petigreatocellated octeract |
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| 246 | | | t0,1,2,3,4,5{4,3,3,3,3,3,3} Pentisteriruncicantitruncated 8-cube Great terated octeract |
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| 247 | t0,1,2,3,4,5,6{3,3,3,3,3,3,4} Hexipentisteriruncicantitruncated 8-orthoplex Great petated diacosipentacontahexazetton |
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| 248 | t0,1,2,3,4,5,7{3,3,3,3,3,3,4} Heptipentisteriruncicantitruncated 8-orthoplex Exigreatoterated diacosipentacontahexazetton |
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| 249 | | | t0,1,2,3,4,6,7{3,3,3,3,3,3,4} Heptihexisteriruncicantitruncated 8-orthoplex Exipetigreatocellated diacosipentacontahexazetton |
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| 250 | | | t0,1,2,3,5,6,7{3,3,3,3,3,3,4} Heptihexipentiruncicantitruncated 8-orthoplex Exipetiterigreatoprismated diacosipentacontahexazetton |
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| 251 | | | t0,1,2,3,5,6,7{4,3,3,3,3,3,3} Heptihexipentiruncicantitruncated 8-cube Exipetiterigreatoprismated octeract |
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| 252 | | | t0,1,2,3,4,6,7{4,3,3,3,3,3,3} Heptihexisteriruncicantitruncated 8-cube Exipetigreatocellated octeract |
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| 253 | | | t0,1,2,3,4,5,7{4,3,3,3,3,3,3} Heptipentisteriruncicantitruncated 8-cube Exigreatoterated octeract |
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| 254 | | | t0,1,2,3,4,5,6{4,3,3,3,3,3,3} Hexipentisteriruncicantitruncated 8-cube Great petated octeract |
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| 255 | | | t0,1,2,3,4,5,6,7{4,3,3,3,3,3,3} Omnitruncated 8-cube Great exi-octeractidiacosipentacontahexazetton |
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| 256 | h0{4,3,3,3,3,3,3} 8-demicube Hemiocteract |
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