List of bracketopes (Meta, 4)
From Hi.gher. Space
(Difference between revisions)
m |
Username5243 (Talk | contribs) (I got bored (again), so here's all the 5D bracketopes. As expected, there's 75 of them.) |
||
(8 intermediate revisions not shown) | |||
Line 1: | Line 1: | ||
- | This is a '''list of [[bracketope]]s''' in dimensions from zero to | + | <[#ontology [kind meta] [cats Bracketope]]> |
+ | This is a '''list of [[bracketope]]s''' in dimensions from zero to five. | ||
- | + | <table class='shapelist' style='width: 100%;'><tr> | |
- | + | <th class='key' style='width: 20%;'>Name</th> | |
- | + | <th class='key' style='width: 20%;'>[[Toratopic index]]</th> | |
- | + | <th class='key' style='width: 20%;'>[[Tapertopic index]]</th> | |
- | + | <th class='key' style='width: 20%;'>[[Bracketopic index]]</th> | |
- | + | <th class='key' style='width: 20%;'>[[Bracket notation]]</th> | |
- | + | </tr><tr> | |
- | + | <td class='cat' colspan='5'>0D bracketopes (total 1)</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Point]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>0</td> | |
- | + | <td>0</td> | |
- | + | <td>''Empty string''</td> | |
- | + | </tr><tr> | |
- | + | <td class='cat' colspan='5'>1D bracketopes (total 1)</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Digon]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>1</td> | |
- | + | <td>1</td> | |
- | + | <td>I</td> | |
- | + | </tr><tr> | |
- | + | <td class='cat' colspan='5'>2D bracketopes (total 2)</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Square]]</td> | |
- | + | <td>1a</td> | |
- | + | <td>3</td> | |
- | + | <td>2</td> | |
- | + | <td>[II]</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Circle]]</td> | |
- | + | <td>1b</td> | |
- | + | <td>2</td> | |
- | + | <td>3</td> | |
- | + | <td>(II)</td> | |
- | + | </tr><tr> | |
- | + | <td class='cat' colspan='5'>3D bracketopes (total 6)</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Cube]]</td> | |
- | + | <td>2a</td> | |
- | + | <td>7</td> | |
- | + | <td>4</td> | |
- | + | <td>[III]</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Octahedron]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>5</td> | |
- | + | <td><III></td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Sphere]]</td> | |
- | + | <td>2b</td> | |
- | + | <td>5</td> | |
- | + | <td>6</td> | |
- | + | <td>(III)</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Cylinder]]</td> | |
- | + | <td>3a</td> | |
- | + | <td>6</td> | |
- | + | <td>7</td> | |
- | + | <td>[(II)I]</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Bicone]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>8</td> | |
- | + | <td><(II)I></td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Crind]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>9</td> | |
- | + | <td>([II]I)</td> | |
- | + | </tr><tr> | |
- | + | <td class='cat' colspan='5'>4D bracketopes (total 21)</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Geochoron]]</td> | |
- | + | <td>4a</td> | |
- | + | <td>16</td> | |
- | + | <td>10</td> | |
- | + | <td>[IIII]</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Aerochoron]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>11</td> | |
- | + | <td><IIII></td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Glome]]</td> | |
- | + | <td>4b</td> | |
- | + | <td>12</td> | |
- | + | <td>12</td> | |
- | + | <td>(IIII)</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Cubinder]]</td> | |
- | + | <td>5a</td> | |
- | + | <td>15</td> | |
- | + | <td>13</td> | |
- | + | <td>[(II)II]</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Dibicone]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>14</td> | |
- | + | <td><(II)II></td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Dicrind]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>15</td> | |
- | + | <td>([II]II)</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Octahedral prism]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>16</td> | |
- | + | <td>[<III>I]</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Spherinder]]</td> | |
- | + | <td>7a</td> | |
- | + | <td>13</td> | |
- | + | <td>17</td> | |
- | + | <td>[(III)I]</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Cubic bipyramid]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>18</td> | |
- | + | <td><[III]I></td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Bisphone]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>19</td> | |
- | + | <td><(III)I></td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Cubic crind]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>20</td> | |
- | + | <td>([III]I)</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Octahedral crind]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>21</td> | |
- | + | <td>(<III>I)</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Biconic prism]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>22</td> | |
- | + | <td>[<(II)I>I]</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Crindal prism]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>23</td> | |
- | + | <td>[([II]I)I]</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Bicylindrone]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>24</td> | |
- | + | <td><[(II)I]I></td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Crindal bipyramid]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>25</td> | |
- | + | <td><([II]I)I></td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Cylindrical crind]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>26</td> | |
- | + | <td>([(II)I]I)</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Biconic crind]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>27</td> | |
- | + | <td>(<(II)I>I)</td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Duocylinder]]</td> | |
- | + | <td>6a</td> | |
- | + | <td>14</td> | |
- | + | <td>28</td> | |
- | + | <td>[(II)(II)]</td> | |
- | + | </tr><tr class='row2'> | |
- | + | <td class='key'>[[Duocircular tegum]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>29</td> | |
- | + | <td><(II)(II)></td> | |
- | + | </tr><tr class='row1'> | |
- | + | <td class='key'>[[Duocrind]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>30</td> | |
- | + | <td>([II][II])</td> | |
- | + | </tr><tr> | |
- | + | <td class='cat' colspan='5'>5D bracketopes (total 75)</td> | |
- | + | </tr> | |
- | + | <tr class='row1'> | |
- | + | <td class='key'>[[Geoteron]]</td> | |
- | + | <td>9a</td> | |
- | + | <td>36</td> | |
- | + | <td>31</td> | |
- | + | <td>[IIIII]</td> | |
- | + | </tr> | |
- | + | <tr class='row2'> | |
- | + | <td class='key'>[[Aeroteron]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>32</td> | |
- | + | <td><IIIII></td> | |
- | + | </tr> | |
- | + | <tr class='row1'> | |
- | + | <td class='key'>[[Pentasphere]]</td> | |
- | + | <td>9b</td> | |
- | + | <td>30</td> | |
- | + | <td>33</td> | |
- | + | <td>(IIIII)</td> | |
- | + | </tr> | |
- | + | <tr class='row2'> | |
- | + | <td class='key'>[[Tesserinder]]</td> | |
- | + | <td>10a</td> | |
- | + | <td>35</td> | |
- | + | <td>34</td> | |
- | + | <td>[(II)III]</td> | |
- | + | </tr> | |
- | + | <tr class='row1'> | |
- | + | <td class='key'>[[Tribicone]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>35</td> | |
- | + | <td><(II)III></td> | |
- | + | </tr> | |
- | + | <tr class='row2'> | |
- | + | <td class='key'>[[Tricrind]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>36</td> | |
- | + | <td>([II]III)</td> | |
- | + | </tr> | |
- | + | <tr class='row1'> | |
- | + | <td class='key'>[[Octahedral diprism]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>37</td> | |
- | + | <td>[<III>II]</td> | |
- | + | </tr> | |
- | + | <tr class='row2'> | |
- | + | <td class='key'>[[Cubspherinder]]</td> | |
- | + | <td>12a</td> | |
- | + | <td>33</td> | |
- | + | <td>38</td> | |
- | + | <td>[(III)II]</td> | |
- | + | </tr> | |
- | + | <tr class='row1'> | |
- | + | <td class='key'>[[Cubic dibipyramid]]</td> | |
- | + | <td>N/A</td> | |
- | + | <td>N/A</td> | |
- | + | <td>39</td> | |
- | + | <td><[III]II></td> | |
- | + | </tr> | |
- | + | <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]) |