Table of expanded rotatopes (Meta, 8)

From Hi.gher. Space

(Difference between revisions)
(New page: <table> <tr class=xl65 height=20 style='height:15.0pt'> <td height=20 class=xl65 width=64 style='height:15.0pt;width:48pt'></td> <td class=xl65 width=173 style='width:130pt'></td> <...)
(added counts)
Line 5: Line 5:
   <th colspan=9 class=xl65 width=576 style='width:432pt'>Expanded rotatopes for
   <th colspan=9 class=xl65 width=576 style='width:432pt'>Expanded rotatopes for
   alternate frames</th>
   alternate frames</th>
 +
  <th colspan=4>Number of homologous toratopes</th>
  </tr>
  </tr>
  <tr class=xl65 height=20 style='height:15.0pt'>
  <tr class=xl65 height=20 style='height:15.0pt'>
Line 18: Line 19:
   <th class=xl65>7-frame</th>
   <th class=xl65>7-frame</th>
   <th class=xl65>8-frame</th>
   <th class=xl65>8-frame</th>
 +
  <th>2D</th>
 +
  <th>3D</th>
 +
  <th>4D</th>
 +
  <th>5D</th>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=6 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=6 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=5 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=5 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=6 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=6 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
Line 80: Line 96:
   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=5 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=5 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=5 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=5 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td>1</td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=4 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>2</td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>2</td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>2</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td class=xl66></td>
   <td class=xl66></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>2</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=3 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
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   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>1</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
Line 241: Line 317:
   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
   <td colspan=2 class=xl66 style='mso-ignore:colspan'></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>2</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
Line 251: Line 331:
   <td class=xl66>0</td>
   <td class=xl66>0</td>
   <td class=xl66></td>
   <td class=xl66></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>5</td>
  </tr>
  </tr>
  <tr height=20 style='height:15.0pt'>
  <tr height=20 style='height:15.0pt'>
Line 261: Line 345:
   <td class=xl66>8</td>
   <td class=xl66>8</td>
   <td class=xl66>0</td>
   <td class=xl66>0</td>
 +
  <td></td>
 +
  <td></td>
 +
  <td></td>
 +
  <td>3</td>
  </tr>
  </tr>
  <tr height=0 style='display:none'>
  <tr height=0 style='display:none'>

Revision as of 12:10, 30 November 2009

Expanded rotatopes for alternate frames Number of homologous toratopes
Rotatope Min-frame hole-sequence 0-frame 1-frame 2-frame 3-frame 4-frame 5-frame 6-frame 7-frame 8-frame 2D 3D 4D 5D
1 [2] 1 0
11 [4] 11 2 0 1
111 [8] 111 2^5 3 0 1
1111 [16] 1111 2^7? ? 4 0 1
11111 [32] 11111 2^9? ? ? 5 0 1
2 [1, 1] 2 0 1
21 [2, 2] 21 3 0 1
211 [4, 4] 211 ? 4 0 1
2111 [16, 16] 2111 ? ? 5 0 1
3 [1, 0, 1] 3 0 1
22 [1, 2, 1] 22 4 0 1 1
31 [2, 0, 2] 31 4 0 1
221 [2, 4, 2] 221 ? 5 0 1 1
311 [4, 0, 4] 311 ? 5 0 1
2211 [4, 8, 4] 2211 ? ? 6 0 1
4 [1, 0, 0, 1] 4 0 1
32 [1, 1, 1, 1] 32 5 0 2 1
41 [2, 0, 0, 2] 41 5 0 1
222 [1, 3, 0, 1] 222 ? 6 0 2 1
321 [2, 2, 2, 2] 321 ? 6 0 2
2221 [2, 6, 0, 2] 2221 ? ? 7 0 2
5 [1, 0, 0, 0, 1] 5 0 1
33 [1, 0, 2, 0, 1] 33 6 0 1
42 [1, 1, 0, 1, 1] 42 6 0 2
322 [1, 2, 3, 0, 1] 322 ? 7 0 5
2222 [1, 4, 0, 0, 1] 2222 ? ? 8 0 3