Acronym spidrox (alt.: hidrox) Name swirlprismatodiminished rectified hexacosachoron,120-diminished rectified hexacosachoron ``` ©   © © connection of rings © connection to squippies ``` Circumradius sqrt[5+2 sqrt(5)] = 3.077684 Vertex figure ` ©   ©` Dihedral angles at {4} between pip and squippy:   arccos(-sqrt[(5+2 sqrt(5))/10]) = 166.717474° at {3} between squippy and squippy:   arccos[-(1+3 sqrt(5))/8] = 164.477512° at {5} between pap and pip:   162° at {3} between pap and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° Confer uniform relative: rox   isogonal relative: bhidtex   segmentochora: pippy   general polytopal classes: scaliform Externallinks

As abstract polytope spidrox is isomorphic to sporaggix, thereby replacing pentagons by pentagrams, resp. by replacing pip by stip and pap by starp.

Rox can be obtained as hull of kepisna, which is the compound of 6 exes. Spidrox is obtained therefrom by chopping off 120 of its vertex pyramids (pippy) in a swirl-symmetric distribution, that is, it is the hull of just 5 of those exes. All ikes thereby get reduced to paps, any oct gets reduced to a squippy. (Thus it is a scaliform polychoron only.) Additionally the former vertex figures (pip) come in.

Its vertex figure accordingly is obtained from that of rox (pip) by chopping off 2 vertices at maximal distance.

Incidence matrix

``` 600 |   2   2    4 |   3    6   4   2 |   5   2   2
-----+--------------+------------------+------------
2 | 600   *    * |   1    2   0   0 |   2   0   1
2 |   * 600    * |   0    2   2   0 |   2   1   1
2 |   *   * 1200 |   1    1   1   1 |   2   1   1
-----+--------------+------------------+------------
3 |   1   0    2 | 600    *   *   * |   2   0   0
3 |   1   1    1 |   * 1200   *   * |   1   0   1
4 |   0   2    2 |   *    * 600   * |   1   1   0
5 |   0   0    5 |   *    *   * 240 |   0   1   1
-----+--------------+------------------+------------
♦  5 |   2   2    4 |   2    2   1   0 | 600   *   *
♦ 10 |   0   5   10 |   0    0   5   2 |   * 120   *
♦ 10 |   5   5   10 |   0   10   0   2 |   *   * 120
```