Acronym spidrox
Name swirlprismatodiminished rectified hexacosachoron
 
 ©
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+3sqrt(5)]/4) = 157.761244°
Confer
uniform relative:
rox  
segmentochora:
pippy  
External
links
hedrondude  

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 a compound of 6 ex. Spidrox is obtained therefrom by chopping off 120 of its vertex pyramids (pippy) in a swirl-symmetric distribution, resp. as hull of just 5 of those ex. 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

© 2004-2014
top of page