List of bracketopes (Meta, 4)

From Hi.gher. Space

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This is a '''list of [[bracketope]]s''' in dimensions from zero to four.
This is a '''list of [[bracketope]]s''' in dimensions from zero to four.
-
{|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'''
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<th class='key' style='width: 20%;'>Name</th>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[[Rotopic index]]'''
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<th class='key' style='width: 20%;'>[[Toratopic index]]</th>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[[Bracketopic index]]'''
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<th class='key' style='width: 20%;'>[[Tapertopic index]]</th>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[[Bracket notation]]'''
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<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'''
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</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'''
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<td class='key'>[[Point]]</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''0'''
+
<td>N/A</td>
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|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'''
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<td>''Empty string''</td>
-
|-
+
</tr><tr>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Line (shape)|Line]]'''
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<td class='cat' colspan='5'>1D bracketopes (total 1)</td>
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|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>
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|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'''
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<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'''
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<td class='cat' colspan='5'>2D bracketopes (total 2)</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''2'''
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</tr><tr class='row1'>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[xy]'''
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<td class='key'>[[Square]]</td>
-
|-
+
<td>1a</td>
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|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Diamond]]&'''
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<td>3</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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<td>2</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''3'''
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<td>[II]</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<xy>'''
+
</tr><tr class='row2'>
-
|-
+
<td class='key'>[[Circle]]</td>
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|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Circle]]'''
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<td>1b</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''4'''
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<td>2</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''4'''
+
<td>3</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(xy)'''
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<td>(II)</td>
-
|-
+
</tr><tr>
-
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''3D bracketopes'''
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<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]]'''
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<td class='key'>[[Cube]]</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''5'''
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<td>2a</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''5'''
+
<td>7</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[xyz]'''
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<td>4</td>
-
|-
+
<td>[III]</td>
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|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cuboid]]*'''
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</tr><tr class='row2'>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
<td class='key'>[[Octahedron]]</td>
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|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]'''
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<td>N/A</td>
-
|-
+
<td>5</td>
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|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cylinder]]'''
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<td><III></td>
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|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>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)z]'''
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<td>2b</td>
-
|-
+
<td>5</td>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Wide octahedron]]*'''
+
<td>6</td>
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|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;"|'''<nowiki><[xy]z></nowiki>'''
+
<td class='key'>[[Cylinder]]</td>
-
|-
+
<td>3a</td>
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|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Octahedron]]'''
+
<td>6</td>
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|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>
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|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'''
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<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''10'''
+
<td>8</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<(xy)z>'''
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<td><(II)I></td>
-
|-
+
</tr><tr class='row2'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Crind]]'''
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<td class='key'>[[Crind]]</td>
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|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>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xy]z)'''
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<td>9</td>
-
|-
+
<td>([II]I)</td>
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|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow crind]]*'''
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</tr><tr>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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<td class='cat' colspan='5'>4D bracketopes (total 21)</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''12'''
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</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<xy>z)'''
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<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>
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|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'''
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<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>
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|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cubinder]]'''
+
<td>5a</td>
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|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>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)zw]'''
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<td>[(II)II]</td>
-
|-
+
</tr><tr class='row1'>
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Wide octahedral prism]]*'''
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<td class='key'>[[Dibicone]]</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''17'''
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<td>N/A</td>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<nowiki>[<[xy]z>w]</nowiki>'''
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<td>14</td>
-
|-
+
<td><(II)II></td>
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|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'''
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<td class='key'>[[Dicrind]]</td>
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''18'''
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<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]]'''
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<td>([II]II)</td>
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|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'''
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<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'''
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<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]'''
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<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>
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|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;"|'''<nowiki><[xyz]w></nowiki>'''
+
<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;"|'''<nowiki><[<xy>z]w></nowiki>'''
+
<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;"|'''<nowiki><[(xy)z]w></nowiki>'''
+
<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;"|'''<nowiki><[xy]zw></nowiki>'''
+
<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;"|'''<nowiki>(<[xy]z>w)</nowiki>'''
+
<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></table>
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''37'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<(xy)z>w)'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Dicrind]]'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''38'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xy]zw)'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow dicrind]]*'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''39'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<xy>zw)'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Glome]]'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''16'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''40'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(xyzw)'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Small tesseract]]&'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''41'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[<xy><zw>]'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow cubinder]]*'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''42'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)<zw>]'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Duocylinder]]'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''43'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''43'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)(zw)]'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Large hexadecachoron]]&'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''44'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<nowiki><[xy][zw]></nowiki>'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''''Unknown shape'''''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''''Unknown'''''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''45'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<nowiki><[xy](zw)></nowiki>'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Duocircular tegum]]'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''46'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<(xy)(zw)>'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Duocrind]]'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''47'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xy][zw])'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow duocrind]]*'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''48'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''([xy]<zw>)'''
+
-
|-
+
-
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Doubly-narrow duocrind]]*'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''49'''
+
-
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''(<xy><zw>)'''
+
-
|}
+
-
[[Category:Bracketopes|$]]
+
[[Category:Tapertopes|$]]
-
[[Category:Lists of shapes|Bracketopes]]
+

Revision as of 16:45, 18 November 2011

This is a list of bracketopes in dimensions from zero to four.

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])
Retrieved from "http://hi.gher.space/wiki/List_of_bracketopes"