List of bracketopes (Meta, 4)
From Hi.gher. Space
This is a list of bracketopes in dimensions from zero to five.
| Name | Toratopic index | Tapertopic index | Bracketopic index | Bracket notation |
|---|---|---|---|---|
| 0D bracketopes (total 1) | ||||
| Point | N/A | 0 | 0 | Empty string |
| 1D bracketopes (total 1) | ||||
| Digon | N/A | 1 | 1 | I |
| 2D bracketopes (total 2) | ||||
| Square | 1a | 3 | 2 | [II] |
| Circle | 1b | 2 | 3 | (II) |
| 3D bracketopes (total 6) | ||||
| Cube | 2a | 7 | 4 | [III] |
| Octahedron | N/A | N/A | 5 | <III> |
| Sphere | 2b | 5 | 6 | (III) |
| Cylinder | 3a | 6 | 7 | [(II)I] |
| Bicone | N/A | N/A | 8 | <(II)I> |
| Crind | N/A | N/A | 9 | ([II]I) |
| 4D bracketopes (total 21) | ||||
| Geochoron | 4a | 16 | 10 | [IIII] |
| Aerochoron | N/A | N/A | 11 | <IIII> |
| Glome | 4b | 12 | 12 | (IIII) |
| Cubinder | 5a | 15 | 13 | [(II)II] |
| Dibicone | N/A | N/A | 14 | <(II)II> |
| Dicrind | N/A | N/A | 15 | ([II]II) |
| Octahedral prism | N/A | N/A | 16 | [<III>I] |
| Spherinder | 7a | 13 | 17 | [(III)I] |
| Cubic bipyramid | N/A | N/A | 18 | <[III]I> |
| Bisphone | N/A | N/A | 19 | <(III)I> |
| Cubic crind | N/A | N/A | 20 | ([III]I) |
| Octahedral crind | N/A | N/A | 21 | (<III>I) |
| Biconic prism | N/A | N/A | 22 | [<(II)I>I] |
| Crindal prism | N/A | N/A | 23 | [([II]I)I] |
| Bicylindrone | N/A | N/A | 24 | <[(II)I]I> |
| Crindal bipyramid | N/A | N/A | 25 | <([II]I)I> |
| Cylindrical crind | N/A | N/A | 26 | ([(II)I]I) |
| Biconic crind | N/A | N/A | 27 | (<(II)I>I) |
| Duocylinder | 6a | 14 | 28 | [(II)(II)] |
| Duocircular tegum | N/A | N/A | 29 | <(II)(II)> |
| Duocrind | N/A | N/A | 30 | ([II][II]) |
| 5D bracketopes (total 75) | ||||
| Geoteron | 9a | 36 | 31 | [IIIII] |
| Aeroteron | N/A | N/A | 32 | <IIIII> |
| Pentasphere | 9b | 30 | 33 | (IIIII) |
| Tesserinder | 10a | 35 | 34 | [(II)III] |
| Tribicone | N/A | N/A | 35 | <(II)III> |
| Tricrind | N/A | N/A | 36 | ([II]III) |
| Octahedral diprism | N/A | N/A | 37 | [<III>II] |
| Cubspherinder | 12a | 33 | 38 | [(III)II] |
| Cubic dibipyramid | N/A | N/A | 39 | <[III]II> |
| Dibisphone | N/A | N/A | 40 | <(III)II> |
| Cubic dicrind | N/A | N/A | 41 | ([III]II) |
| Octahedral dicrind | N/A | N/A | 42 | (<III>II) |
| Hexadecachoral prism | N/A | N/A | 43 | [<IIII>I] |
| Glominder | 16a | 31 | 44 | [(IIII)I] |
| Tesseractic bipyramid | N/A | N/A | 45 | <[IIII]I> |
| Biglone | N/A | N/A | 46 | <(IIII)I> |
| Tesseractic crind | N/A | N/A | 47 | ([IIII]I) |
| Hexadecachoral crind | N/A | N/A | 48 | (<IIII>I) |
| Biconic diprism | N/A | N/A | 49 | [<(II)I>II] |
| Crindal diprism | N/A | N/A | 50 | [([II]I)II] |
| Dibicylindrone | N/A | N/A | 51 | <[(II)I]II> |
| Crindal dibipyramid | N/A | N/A | 52 | <([II]I)II> |
| Cylindrical dicrind | N/A | N/A | 53 | ([(II)I]II) |
| Biconic dicrind | N/A | N/A | 54 | (<(II)I>II) |
| Dibiconic prism | N/A | N/A | 55 | [<(II)II>I] |
| Dicrindal prism | N/A | N/A | 56 | [([II]II)I] |
| Bicubindrone | N/A | N/A | 57 | <[(II)II]I> |
| Dicrindal bipyramid | N/A | N/A | 58 | <([II]II)I> |
| Cubindrical crind | N/A | N/A | 59 | ([(II)II]I) |
| Dibiconic crind | N/A | N/A | 60 | (<(II)II>I) |
| Cubic bipyramidal prism | N/A | N/A | 61 | [<[III]I>I] |
| Bisphonic prism | N/A | N/A | 62 | [<(III)I>I] |
| Cubic crindal prism | N/A | N/A | 63 | [([III]I)I] |
| Octahedral crindal prism | N/A | N/A | 64 | [(<III>I)I] |
| Octahedral prismatic bipyramid | N/A | N/A | 65 | <[<III>I]I> |
| Bispherindrone | N/A | N/A | 66 | <[(III)I]I> |
| Cubic crindal bipyramid | N/A | N/A | 67 | <([III]I)I> |
| Octahedral crindal bipyramid | N/A | N/A | 68 | <(<III>I)I> |
| Octahedral prismatic crind | N/A | N/A | 69 | ([<III>I]I) |
| Spherindrical crind | N/A | N/A | 70 | ([(III)I]I) |
| Cubic bipyramidal crind | N/A | N/A | 71 | (<[III]I>I) |
| Bisphonic crind | N/A | N/A | 72 | (<(III)I>I) |
| Bicylindronic prism | N/A | N/A | 73 | [<[(II)I]I>I] |
| Crindal bipyramidal prism | N/A | N/A | 74 | [<([II]I)I>I] |
| Cylindrical crindal prism | N/A | N/A | 75 | [([(II)I]I)I] |
| Biconic crindal prism | N/A | N/A | 76 | [(<(II)I>I)I] |
| Biconic prismatic bipyramid | N/A | N/A | 77 | <[<(II)I>I]I> |
| Crindal prismatic bipyramid | N/A | N/A | 78 | <[([II]I)I]I> |
| Cylindrical crindal bipyramid | N/A | N/A | 79 | <([(II)I]I)I> |
| Biconic crindal bipyramid | N/A | N/A | 80 | <(<(II)I>I)I> |
| Biconic prismatic crind | N/A | N/A | 81 | ([<(II)I>I]I) |
| Crindal prismatic crind | N/A | N/A | 82 | ([([II]I)I]I) |
| Bicylindronic crind | N/A | N/A | 83 | (<[(II)I]I>I) |
| Crindal bipyramidal crind | N/A | N/A | 84 | (<([II]I)I>I) |
| Duocyldyinder | 11a | 34 | 85 | [(II)(II)I] |
| Duocircular tegmal bipyramid | N/A | N/A | 86 | <(II)(II)I> |
| Duocrindal crind | N/A | N/A | 87 | ([II][II]I) |
| Duocircular tegmal prism | N/A | N/A | 88>/td> | [<(II)(II)>I] |
| Duocrindal prism | N/A | N/A | 89 | [([II][II])I] |
| Biduocylindrone | N/A | N/A | 90 | <[(II)(II)]I> |
| Duocrindal bipyramid | N/A | N/A | 91 | <([II][II])I> |
| Duocylindrical crind | N/A | N/A | 92 | ([(II)(II)]I) |
| Duocircular tegmal crind | N/A | N/A | 93 | (<(II)(II)>I) |
| Cyloctahedrinder | N/A | N/A | 94 | [<III>(II)] |
| Cylspherinder | 14a | 32 | 95 | [(III)(II)] |
| Circle/cube duotegum | N/A | N/A | 96 | <[III](II)> |
| Circle/sphere duotegum | N/A | N/A | 97 | <(III)(II)> |
| Square/cube duocrind | N/A | N/A | 98 | ([III][II]) |
| Square/octahedron duocrind | N/A | N/A | 99 | (<III>[II]) |
| Circle/bicone duoprism | N/A | N/A | 100 | [<(II)I>(II)] |
| Circle/crind duoprism | N/A | N/A | 101 | [([II]I)(II)] |
| Circle/cylinder duotegum | N/A | N/A | 102 | <[(II)I](II)> |
| Circle/crind duotegum | N/A | N/A | 103 | <([II]I)(II)> |
| square/cylinder duocrind | N/A | N/A | 104 | ([(II)I][II]) |
| Square/bicone duocrind | N/A | N/A | 105 | (<(II)I>[II]) |
