Acronym ridimex (alt.: idimrox) Name rectified icosidiminished hexacosachoron,icosidiminished rectified hexacosachoron Circumradius sqrt[5+2 sqrt(5)] = 3.077684 General of army (is itself convex) Colonel of regiment (is itself locally convex) Confer uniform relative: rox   related segmentochora: ikaid   related CRFs: idimex   tidimex   idimsrahi

Just as idimex was obtained from ex by an spid-symmetric diminishing, i.e. chopping off ikepy-caps, ridimex is obtained from rox by a spid-symmetric diminishing, i.e. chopping off ikaid-caps.

Much more remarkable is that the non-uniform idimex allows for some of the same operations as regulars do: ridimex is nothing but the rectification operation being applied to it.

Incidence matrix

```60   *   *   *  * |  2   4   4  0   0   0   0   0   0   0   0 |  1   2   4   2   4   2  0   0   0   0   0   0  0  0  0 |  2  1  2   2  0  0  0  A/2
* 120   *   *  * |  0   0   0  1   2   2   1   0   0   0   0 |  0   0   0   0   0   0  1   2   2   1   2   1  0  0  0 |  0  0  1   1  2  1  0  B=C
*   * 120   *  * |  0   2   0  0   0   2   0   2   2   0   0 |  0   2   1   0   2   0  0   1   2   0   1   2  1  0  0 |  1  0  1   2  1  1  0  D=E
*   *   * 120  * |  0   0   2  0   2   0   0   2   0   2   0 |  0   0   0   2   2   2  0   2   2   2   0   0  0  0  0 |  0  1  2   2  1  0  0  F/2
*   *   *   * 60 |  0   0   0  0   0   0   2   0   0   0   4 |  0   0   0   0   0   0  1   0   0   0   4   0  0  2  2 |  0  0  0   0  2  2  1  G/2
------------------+-------------------------------------------+--------------------------------------------------------+----------------------
2   0   0   0  0 | 60   *   *  *   *   *   *   *   *   *   * |  1   0   2   0   0   0  0   0   0   0   0   0  0  0  0 |  2  0  1   0  0  0  0  AA'
1   0   1   0  0 |  * 240   *  *   *   *   *   *   *   *   * |  0   1   1   0   1   0  0   0   0   0   0   0  0  0  0 |  1  0  1   1  0  0  0  AD
1   0   0   1  0 |  *   * 240  *   *   *   *   *   *   *   * |  0   0   0   1   1   1  0   0   0   0   0   0  0  0  0 |  0  1  1   1  0  0  0  AF
0   2   0   0  0 |  *   *   * 60   *   *   *   *   *   *   * |  0   0   0   0   0   0  1   2   0   0   0   0  0  0  0 |  0  0  1   0  2  0  0  BB'
0   1   0   1  0 |  *   *   *  * 240   *   *   *   *   *   * |  0   0   0   0   0   0  0   1   1   1   0   0  0  0  0 |  0  0  1   1  1  0  0  BF
0   1   1   0  0 |  *   *   *  *   * 240   *   *   *   *   * |  0   0   0   0   0   0  0   0   1   0   1   1  0  0  0 |  0  0  0   1  1  1  0  CE
0   1   0   0  1 |  *   *   *  *   *   * 120   *   *   *   * |  0   0   0   0   0   0  1   0   0   0   2   0  0  0  0 |  0  0  0   0  2  1  0  CG
0   0   1   1  0 |  *   *   *  *   *   *   * 240   *   *   * |  0   0   0   0   1   0  0   1   1   0   0   0  0  0  0 |  0  0  1   1  1  0  0  DF
0   0   2   0  0 |  *   *   *  *   *   *   *   * 120   *   * |  0   1   0   0   0   0  0   0   0   0   0   1  1  0  0 |  1  0  0   1  0  1  0  EE'
0   0   0   2  0 |  *   *   *  *   *   *   *   *   * 120   * |  0   0   0   1   0   1  0   0   0   1   0   0  0  0  0 |  0  1  1   1  0  0  0  FF'
0   0   0   0  2 |  *   *   *  *   *   *   *   *   *   * 120 |  0   0   0   0   0   0  0   0   0   0   1   0  0  1  1 |  0  0  0   0  1  1  1  GG'
------------------+-------------------------------------------+--------------------------------------------------------+----------------------
3   0   0   0  0 |  3   0   0  0   0   0   0   0   0   0   0 | 20   *   *   *   *   *  *   *   *   *   *   *  *  *  * |  2  0  0   0  0  0  0
1   0   2   0  0 |  0   2   0  0   0   0   0   0   1   0   0 |  * 120   *   *   *   *  *   *   *   *   *   *  *  *  * |  1  0  0   1  0  0  0
2   0   1   0  0 |  1   2   0  0   0   0   0   0   0   0   0 |  *   * 120   *   *   *  *   *   *   *   *   *  *  *  * |  1  0  1   0  0  0  0
1   0   0   2  0 |  0   0   2  0   0   0   0   0   0   1   0 |  *   *   * 120   *   *  *   *   *   *   *   *  *  *  * |  0  1  0   1  0  0  0
1   0   1   1  0 |  0   1   1  0   0   0   0   1   0   0   0 |  *   *   *   * 240   *  *   *   *   *   *   *  *  *  * |  0  0  1   1  0  0  0
1   0   0   2  0 |  0   0   2  0   0   0   0   0   0   1   0 |  *   *   *   *   * 120  *   *   *   *   *   *  *  *  * |  0  1  1   0  0  0  0
0   2   0   0  1 |  0   0   0  1   0   0   2   0   0   0   0 |  *   *   *   *   *   * 60   *   *   *   *   *  *  *  * |  0  0  0   0  2  0  0
0   2   1   2  0 |  0   0   0  1   2   0   0   2   0   0   0 |  *   *   *   *   *   *  * 120   *   *   *   *  *  *  * |  0  0  1   0  1  0  0  {5}
0   1   1   1  0 |  0   0   0  0   1   1   0   1   0   0   0 |  *   *   *   *   *   *  *   * 240   *   *   *  *  *  * |  0  0  0   1  1  0  0
0   1   0   2  0 |  0   0   0  0   2   0   0   0   0   1   0 |  *   *   *   *   *   *  *   *   * 120   *   *  *  *  * |  0  0  1   1  0  0  0
0   2   1   0  2 |  0   0   0  0   0   2   2   0   0   0   1 |  *   *   *   *   *   *  *   *   *   * 120   *  *  *  * |  0  0  0   0  1  1  0  {5}
0   1   2   0  0 |  0   0   0  0   0   2   0   0   1   0   0 |  *   *   *   *   *   *  *   *   *   *   * 120  *  *  * |  0  0  0   1  0  1  0
0   0   3   0  0 |  0   0   0  0   0   0   0   0   3   0   0 |  *   *   *   *   *   *  *   *   *   *   *   * 40  *  * |  1  0  0   0  0  1  0
0   0   0   0  3 |  0   0   0  0   0   0   0   0   0   0   3 |  *   *   *   *   *   *  *   *   *   *   *   *  * 40  * |  0  0  0   0  1  0  1
0   0   0   0  3 |  0   0   0  0   0   0   0   0   0   0   3 |  *   *   *   *   *   *  *   *   *   *   *   *  *  * 40 |  0  0  0   0  0  1  1
------------------+-------------------------------------------+--------------------------------------------------------+----------------------
3   0   3   0  0 |  3   6   0  0   0   0   0   0   3   0   0 |  1   3   3   0   0   0  0   0   0   0   0   0  1  0  0 | 40  *  *   *  *  *  *  oct (3-ap sym)
2   0   0   4  0 |  0   0   8  0   0   0   0   0   0   4   0 |  0   0   0   4   0   4  0   0   0   0   0   0  0  0  0 |  * 30  *   *  *  *  *  oct
2   2   2   4  0 |  1   4   4  1   4   0   0   4   0   2   0 |  0   0   2   0   4   2  0   2   0   2   0   0  0  0  0 |  *  * 60   *  *  *  *  mibdi
1   1   2   2  0 |  0   2   2  0   2   2   0   2   1   1   0 |  0   1   0   1   2   0  0   0   2   1   0   1  0  0  0 |  *  *  * 120  *  *  *  oct
0  12   6   6  6 |  0   0   0  6  12  12  12  12   0   0   6 |  0   0   0   0   0   0  6   6  12   0   6   0  0  2  0 |  *  *  *   * 20  *  *  id
0   3   3   0  3 |  0   0   0  0   0   6   3   0   3   0   3 |  0   0   0   0   0   0  0   0   0   0   3   3  1  0  1 |  *  *  *   *  * 40  *  teddi
0   0   0   0  6 |  0   0   0  0   0   0   0   0   0   0  12 |  0   0   0   0   0   0  0   0   0   0   0   0  0  4  4 |  *  *  *   *  *  * 10  oct (tet sym)
```

 © 2004-2021 top of page