List of bracketopes (Meta, 4)

From Hi.gher. Space

(Difference between revisions)
(rm CSG)
(I got bored (again), so here's all the 5D bracketopes. As expected, there's 75 of them.)
 
(6 intermediate revisions not shown)
Line 1: Line 1:
-
This is a '''list of [[bracketope]]s''' in dimensions from zero to four.
+
<[#ontology [kind meta] [cats Bracketope]]>
 +
This is a '''list of [[bracketope]]s''' in dimensions from zero to five.
-
{|style="border: 1px solid; border-color:#808080; border-collapse: collapse;" cellpadding="2" width="100%"
+
<table class='shapelist' style='width: 100%;'><tr>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''Name'''
+
<th class='key' style='width: 20%;'>Name</th>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[[Rotopic index]]'''
+
<th class='key' style='width: 20%;'>[[Toratopic index]]</th>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[[Bracketopic index]]'''
+
<th class='key' style='width: 20%;'>[[Tapertopic index]]</th>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[[Bracket notation]]'''
+
<th class='key' style='width: 20%;'>[[Bracketopic index]]</th>
-
|-
+
<th class='key' style='width: 20%;'>[[Bracket notation]]</th>
-
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''0D bracketopes'''
+
</tr><tr>
-
|-
+
<td class='cat' colspan='5'>0D bracketopes (total 1)</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Point (shape)|Point]]'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''0'''
+
<td class='key'>[[Point]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''0'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''''Empty string'''''
+
<td>0</td>
-
|-
+
<td>0</td>
-
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''1D bracketopes'''
+
<td>''Empty string''</td>
-
|-
+
</tr><tr>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Line (shape)|Line]]'''
+
<td class='cat' colspan='5'>1D bracketopes (total 1)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''1'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''1'''
+
<td class='key'>[[Digon]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''x'''
+
<td>N/A</td>
-
|-
+
<td>1</td>
-
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''2D bracketopes'''
+
<td>1</td>
-
|-
+
<td>I</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Square]]'''
+
</tr><tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''2'''
+
<td class='cat' colspan='5'>2D bracketopes (total 2)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''2'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[xy]'''
+
<td class='key'>[[Square]]</td>
-
|-
+
<td>1a</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Diamond]]&'''
+
<td>3</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>2</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''3'''
+
<td>[II]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<xy>'''
+
</tr><tr class='row2'>
-
|-
+
<td class='key'>[[Circle]]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Circle]]'''
+
<td>1b</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''4'''
+
<td>2</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''4'''
+
<td>3</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(xy)'''
+
<td>(II)</td>
-
|-
+
</tr><tr>
-
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''3D bracketopes'''
+
<td class='cat' colspan='5'>3D bracketopes (total 6)</td>
-
|-
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cube]]'''
+
<td class='key'>[[Cube]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''5'''
+
<td>2a</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''5'''
+
<td>7</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[xyz]'''
+
<td>4</td>
-
|-
+
<td>[III]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cuboid]]*'''
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='key'>[[Octahedron]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''6'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[<xy>z]'''
+
<td>N/A</td>
-
|-
+
<td>5</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cylinder]]'''
+
<td><III></td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''11'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''7'''
+
<td class='key'>[[Sphere]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)z]'''
+
<td>2b</td>
-
|-
+
<td>5</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Wide octahedron]]*'''
+
<td>6</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>(III)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''8'''
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[xy]z>'''
+
<td class='key'>[[Cylinder]]</td>
-
|-
+
<td>3a</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Octahedron]]'''
+
<td>6</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>7</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''9'''
+
<td>[(II)I]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<xyz>'''
+
</tr><tr class='row1'>
-
|-
+
<td class='key'>[[Bicone]]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Bicone]]'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''10'''
+
<td>8</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<(xy)z>'''
+
<td><(II)I></td>
-
|-
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Crind]]'''
+
<td class='key'>[[Crind]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''11'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xy]z)'''
+
<td>9</td>
-
|-
+
<td>([II]I)</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow crind]]*'''
+
</tr><tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='cat' colspan='5'>4D bracketopes (total 21)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''12'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<xy>z)'''
+
<td class='key'>[[Geochoron]]</td>
-
|-
+
<td>4a</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Sphere]]'''
+
<td>16</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''7'''
+
<td>10</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''13'''
+
<td>[IIII]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(xyz)'''
+
</tr><tr class='row2'>
-
|-
+
<td class='key'>[[Aerochoron]]</td>
-
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''4D bracketopes'''
+
<td>N/A</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Tesseract]]'''
+
<td>11</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''14'''
+
<td><IIII></td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''14'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[xyzw]'''
+
<td class='key'>[[Glome]]</td>
-
|-
+
<td>4b</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow tesseract]]*'''
+
<td>12</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>12</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''15'''
+
<td>(IIII)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[<xy>zw]'''
+
</tr><tr class='row2'>
-
|-
+
<td class='key'>[[Cubinder]]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cubinder]]'''
+
<td>5a</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''34'''
+
<td>15</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''16'''
+
<td>13</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)zw]'''
+
<td>[(II)II]</td>
-
|-
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Wide octahedral prism]]*'''
+
<td class='key'>[[Dibicone]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''17'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[<[xy]z>w]'''
+
<td>14</td>
-
|-
+
<td><(II)II></td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Octahedral prism]]'''
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='key'>[[Dicrind]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''18'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[<xyz>w]'''
+
<td>N/A</td>
-
|-
+
<td>15</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Biconic prism]]'''
+
<td>([II]II)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''19'''
+
<td class='key'>[[Octahedral prism]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[<(xy)z>w]'''
+
<td>N/A</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Crindal prism]]'''
+
<td>16</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>[<III>I]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''20'''
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[([xy]z)w]'''
+
<td class='key'>[[Spherinder]]</td>
-
|-
+
<td>7a</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow crindal prism]]*'''
+
<td>13</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>17</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''21'''
+
<td>[(III)I]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(<xy>z)w]'''
+
</tr><tr class='row1'>
-
|-
+
<td class='key'>[[Cubic bipyramid]]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Spherinder]]'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''20'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''22'''
+
<td>18</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xyz)w]'''
+
<td><[III]I></td>
-
|-
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cubic bipyramid]]?'''
+
<td class='key'>[[Bisphone]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''23'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[xyz]w>'''
+
<td>19</td>
-
|-
+
<td><(III)I></td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow cubic bipyramid]]*'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='key'>[[Cubic crind]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''24'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[<xy>z]w>'''
+
<td>N/A</td>
-
|-
+
<td>20</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cylindrical bipyramid]]'''
+
<td>([III]I)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''25'''
+
<td class='key'>[[Octahedral crind]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[(xy)z]w>'''
+
<td>N/A</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Wide hexadecachoron]]*'''
+
<td>21</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>(<III>I)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''26'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[xy]zw>'''
+
<td class='key'>[[Biconic prism]]</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Hexadecachoron]]'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>22</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''27'''
+
<td>[<(II)I>I]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<xyzw>'''
+
</tr><tr class='row2'>
-
|-
+
<td class='key'>[[Crindal prism]]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Dibicone]]'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''28'''
+
<td>23</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<(xy)zw>'''
+
<td>[([II]I)I]</td>
-
|-
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Crindal bipyramid]]'''
+
<td class='key'>[[Bicylindrone]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''29'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<([xy]z)w>'''
+
<td>24</td>
-
|-
+
<td><[(II)I]I></td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow crindal bipyramid]]*'''
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='key'>[[Crindal bipyramid]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''30'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<(<xy>z)w>'''
+
<td>N/A</td>
-
|-
+
<td>25</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Bisphone]]'''
+
<td><([II]I)I></td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''31'''
+
<td class='key'>[[Cylindrical crind]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<(xyz)w>'''
+
<td>N/A</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cubic crind]]'''
+
<td>26</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>([(II)I]I)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''32'''
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xyz]w)'''
+
<td class='key'>[[Biconic crind]]</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow cubic crind]]*'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>27</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''33'''
+
<td>(<(II)I>I)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([<xy>z]w)'''
+
</tr><tr class='row1'>
-
|-
+
<td class='key'>[[Duocylinder]]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cylindrical crind]]'''
+
<td>6a</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>14</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''34'''
+
<td>28</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([(xy)z]w)'''
+
<td>[(II)(II)]</td>
-
|-
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Wide octahedral crind]]*'''
+
<td class='key'>[[Duocircular tegum]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''35'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<[xy]z>w)'''
+
<td>29</td>
-
|-
+
<td><(II)(II)></td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Octahedral crind]]'''
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='key'>[[Duocrind]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''36'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<xyz>w)'''
+
<td>N/A</td>
-
|-
+
<td>30</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Biconic crind]]'''
+
<td>([II][II])</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
</tr><tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''37'''
+
<td class='cat' colspan='5'>5D bracketopes (total 75)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<(xy)z>w)'''
+
</tr>
-
|-
+
<tr class='row1'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Dicrind]]'''
+
<td class='key'>[[Geoteron]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>9a</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''38'''
+
<td>36</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xy]zw)'''
+
<td>31</td>
-
|-
+
<td>[IIIII]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow dicrind]]*'''
+
</tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''39'''
+
<td class='key'>[[Aeroteron]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<xy>zw)'''
+
<td>N/A</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Glome]]'''
+
<td>32</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''16'''
+
<td><IIIII></td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''40'''
+
</tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(xyzw)'''
+
<tr class='row1'>
-
|-
+
<td class='key'>[[Pentasphere]]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Small tesseract]]&'''
+
<td>9b</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>30</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''41'''
+
<td>33</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[<xy><zw>]'''
+
<td>(IIIII)</td>
-
|-
+
</tr>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow cubinder]]*'''
+
<tr class='row2'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='key'>[[Tesserinder]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''42'''
+
<td>10a</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)<zw>]'''
+
<td>35</td>
-
|-
+
<td>34</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Duocylinder]]'''
+
<td>[(II)III]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''43'''
+
</tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''43'''
+
<tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)(zw)]'''
+
<td class='key'>[[Tribicone]]</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Large hexadecachoron]]&'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>35</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''44'''
+
<td><(II)III></td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[xy][zw]>'''
+
</tr>
-
|-
+
<tr class='row2'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''''Unknown shape'''''
+
<td class='key'>[[Tricrind]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''''Unknown'''''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''45'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[xy](zw)>'''
+
<td>36</td>
-
|-
+
<td>([II]III)</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Duocircular tegum]]'''
+
</tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''46'''
+
<td class='key'>[[Octahedral diprism]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<(xy)(zw)>'''
+
<td>N/A</td>
-
|-
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Duocrind]]'''
+
<td>37</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>[<III>II]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''47'''
+
</tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xy][zw])'''
+
<tr class='row2'>
-
|-
+
<td class='key'>[[Cubspherinder]]</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow duocrind]]*'''
+
<td>12a</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td>33</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''48'''
+
<td>38</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xy]<zw>)'''
+
<td>[(III)II]</td>
-
|-
+
</tr>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Doubly-narrow duocrind]]*'''
+
<tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='key'>[[Cubic dibipyramid]]</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''49'''
+
<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<xy><zw>)'''
+
<td>N/A</td>
-
|}
+
<td>39</td>
-
 
+
<td><[III]II></td>
-
[[Category:Bracketopes|$]]
+
</tr>
-
[[Category:Lists of shapes|Bracketopes]]
+
<tr class='row2'>
 +
<td class='key'>[[Dibisphone]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>40</td>
 +
<td><(III)II></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cubic dicrind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>41</td>
 +
<td>([III]II)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Octahedral dicrind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>42</td>
 +
<td>(<III>II)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Hexadecachoral prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>43</td>
 +
<td>[<IIII>I]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Glominder]]</td>
 +
<td>16a</td>
 +
<td>31</td>
 +
<td>44</td>
 +
<td>[(IIII)I]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Tesseractic bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>45</td>
 +
<td><[IIII]I></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Biglone]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>46</td>
 +
<td><(IIII)I></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Tesseractic crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>47</td>
 +
<td>([IIII]I)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Hexadecachoral crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>48</td>
 +
<td>(<IIII>I)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Biconic diprism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>49</td>
 +
<td>[<(II)I>II]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Crindal diprism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>50</td>
 +
<td>[([II]I)II]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Dibicylindrone]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>51</td>
 +
<td><[(II)I]II></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Crindal dibipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>52</td>
 +
<td><([II]I)II></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cylindrical dicrind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>53</td>
 +
<td>([(II)I]II)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Biconic dicrind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>54</td>
 +
<td>(<(II)I>II)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Dibiconic prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>55</td>
 +
<td>[<(II)II>I]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Dicrindal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>56</td>
 +
<td>[([II]II)I]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Bicubindrone]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>57</td>
 +
<td><[(II)II]I></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Dicrindal bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>58</td>
 +
<td><([II]II)I></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cubindrical crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>59</td>
 +
<td>([(II)II]I)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Dibiconic crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>60</td>
 +
<td>(<(II)II>I)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cubic bipyramidal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>61</td>
 +
<td>[<[III]I>I]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Bisphonic prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>62</td>
 +
<td>[<(III)I>I]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cubic crindal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>63</td>
 +
<td>[([III]I)I]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Octahedral crindal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>64</td>
 +
<td>[(<III>I)I]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Octahedral prismatic bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>65</td>
 +
<td><[<III>I]I></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Bispherindrone]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>66</td>
 +
<td><[(III)I]I></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cubic crindal bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>67</td>
 +
<td><([III]I)I></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Octahedral crindal bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>68</td>
 +
<td><(<III>I)I></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Octahedral prismatic crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>69</td>
 +
<td>([<III>I]I)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Spherindrical crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>70</td>
 +
<td>([(III)I]I)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cubic bipyramidal crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>71</td>
 +
<td>(<[III]I>I)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Bisphonic crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>72</td>
 +
<td>(<(III)I>I)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Bicylindronic prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>73</td>
 +
<td>[<[(II)I]I>I]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Crindal bipyramidal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>74</td>
 +
<td>[<([II]I)I>I]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cylindrical crindal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>75</td>
 +
<td>[([(II)I]I)I]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Biconic crindal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>76</td>
 +
<td>[(<(II)I>I)I]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Biconic prismatic bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>77</td>
 +
<td><[<(II)I>I]I></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Crindal prismatic bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>78</td>
 +
<td><[([II]I)I]I></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cylindrical crindal bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>79</td>
 +
<td><([(II)I]I)I></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Biconic crindal bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>80</td>
 +
<td><(<(II)I>I)I></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Biconic prismatic crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>81</td>
 +
<td>([<(II)I>I]I)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Crindal prismatic crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>82</td>
 +
<td>([([II]I)I]I)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Bicylindronic crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>83</td>
 +
<td>(<[(II)I]I>I)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Crindal bipyramidal crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>84</td>
 +
<td>(<([II]I)I>I)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Duocyldyinder]]</td>
 +
<td>11a</td>
 +
<td>34</td>
 +
<td>85</td>
 +
<td>[(II)(II)I]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Duocircular tegmal bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>86</td>
 +
<td><(II)(II)I></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Duocrindal crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>87</td>
 +
<td>([II][II]I)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Duocircular tegmal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>88>/td>
 +
<td>[<(II)(II)>I]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Duocrindal prism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>89</td>
 +
<td>[([II][II])I]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Biduocylindrone]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>90</td>
 +
<td><[(II)(II)]I></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Duocrindal bipyramid]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>91</td>
 +
<td><([II][II])I></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Duocylindrical crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>92</td>
 +
<td>([(II)(II)]I)</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Duocircular tegmal crind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>93</td>
 +
<td>(<(II)(II)>I)</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Cyloctahedrinder]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>94</td>
 +
<td>[<III>(II)]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Cylspherinder]]</td>
 +
<td>14a</td>
 +
<td>32</td>
 +
<td>95</td>
 +
<td>[(III)(II)]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Circle/cube duotegum]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>96</td>
 +
<td><[III](II)></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Circle/sphere duotegum]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>97</td>
 +
<td><(III)(II)></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Square/cube duocrind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>98</td>
 +
<td>([III][II])</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Square/octahedron duocrind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>99</td>
 +
<td>(<III>[II])</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Circle/bicone duoprism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>100</td>
 +
<td>[<(II)I>(II)]</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Circle/crind duoprism]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>101</td>
 +
<td>[([II]I)(II)]</td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[Circle/cylinder duotegum]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>102</td>
 +
<td><[(II)I](II)></td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Circle/crind duotegum]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>103</td>
 +
<td><([II]I)(II)></td>
 +
</tr>
 +
<tr class='row2'>
 +
<td class='key'>[[square/cylinder duocrind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>104</td>
 +
<td>([(II)I][II])</td>
 +
</tr>
 +
<tr class='row1'>
 +
<td class='key'>[[Square/bicone duocrind]]</td>
 +
<td>N/A</td>
 +
<td>N/A</td>
 +
<td>105</td>
 +
<td>(<(II)I>[II])</td>
 +
</tr>
 +
</table>

Latest revision as of 20:42, 18 February 2019

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])