Acronym sople (old: odop)
Name square-octagon plus-prism,
octagonal diorthoprism,
compound of 2 sodip
Circumradius sqrt[(3+sqrt(2))/2] = 1.485633
Coordinates
  • ((1+sqrt(2))/2, 1/2, 1/2, 1/2)   & permutations in first 2 coordinates, all changes of sign
    (corresponds to one sodip)
  • (1/2, 1/2, (1+sqrt(2))/2, 1/2)   & permutations in last 2 coordinates, all changes of sign
    (corresponds to completely orthogonal sodip)
General of army sidpith
Colonel of regiment (subregimental to sidpith)
Confer
uniform relative:
sidpith   iquipadah  
compound-component:
sodip  

As abstract polytope sople is isomorphic to sistople, thereby replacing octagons by octagrams, resp. op by stop, resp. sodip by sistodip.


Incidence matrix

  64 |  2  2 |  1  4 1 |  2 2 || 1
-----+-------+---------+------++--
   2 | 64  * |  1  2 0 |  2 1 || 1
   2 |  * 64 |  0  2 1 |  1 2 || 1
-----+-------+---------+------++--
   4 |  4  0 | 16  * * |  2 0 || 1
   4 |  2  2 |  * 64 * |  1 1 || 1
   8 |  0  8 |  *  * 8 |  0 2 || 1
-----+-------+---------+------++--
  8 |  8  4 |  2  4 0 | 16 * || 1
 16 |  8 16 |  0  8 2 |  * 8 || 1
-----+-------+---------+------++--
 32 | 32 32 |  8 32 4 |  8 4 || 2

© 2004-2019
top of page