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  
External
links
hedrondude   wikipedia   polytopewiki   quickfur  

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

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