Acronym idprahi
Name icositetra-diminished prismatorhombated hecatonicosachoron
Circumradius sqrt[35+15 sqrt(5)] = 8.278950
Confer
uniform relative:
sadi   prahi  
related CRFs:
idsrix   idsid pixhi   idprix   idsrahi   risadi   tisadi  
segmentochora:
srida gridtum  

In the same way, as sadi was derived as an icositetrachoral diminishing of ex, idprahi can be derived as an icositetrachoral diminishing of prahi. The fundamental domain of sadi (i.e. titdi, the dual of teddi), which there clearly encompasses just a single vertex, here would encompass a complete srid. Here the pentagons of this srid will lie completely inside from the face planes of the dodecahedral kernel of that domain (in order to give rise of the pips of prahi). Therefore idprahi clearly is no longer uniform (as weren't lots of the Johnson solids neither).

Sadi was diminished at 24 vertices. Idprahi accordingly will be diminished at 24 srids. In fact 24 bistratic srid-caps will be chopped off. Any individual of those clearly is a srid-grid-tutsatope. This results in several other srids, which get diminished into tedrid here.

Corresponding to the 3-fold symmetry of that domain we call the vertices of srid as A, ..., L along its 3-fold axis. The other elements of idprahi then can be classified accordingly, as given below. The srid vertices C, E, and G then would be chopped off, as those get eaten by the grids, which are to be placed around the tips of the domain. This is how the srids become tedrids. All the remaining vertex types then are placed slightly underneath the boundary of the used fundamental domain. By external symmetry (connection of those domains) one further derives the infos required for the cross-boundary edges, mentioned below by primes.


Incidence matrix

288   *   *   *   *   *   *   *   * |   2   2   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 |  1   2   2   1   2   0   0   0   0   0   0   0   0   0   0   0   0  0   0   0  0  0 |  1  1   2   1  0  0   0  0  0  A
  * 576   *   *   *   *   *   *   * |   0   1   0   1   1   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 |  0   1   0   1   1   1   1   1   0   0   0   0   0   0   0   0   0  0   0   0  0  0 |  1  0   1   1  1  0   0  0  0  B
  *   * 576   *   *   *   *   *   * |   0   0   0   0   1   0   1   1   1   0   0   0   0   0   0   0   0   0   0   0   0   0 |  0   0   0   1   0   1   0   1   1   1   1   0   0   0   0   0   0  0   0   0  0  0 |  1  0   0   1  1  1   0  0  0  D
  *   *   * 576   *   *   *   *   * |   0   0   0   0   0   0   0   1   1   1   1   0   0   0   0   0   0   0   0   0   0   0 |  0   0   0   0   0   1   0   1   1   1   1   1   0   0   0   0   0  0   0   0  0  0 |  1  0   0   1  1  1   0  0  0  F
  *   *   *   * 576   *   *   *   * |   0   0   0   0   0   1   0   0   0   0   1   1   1   0   0   0   0   0   0   0   0   0 |  0   0   0   0   1   1   1   1   0   0   0   1   1   0   0   0   0  0   0   0  0  0 |  1  0   1   1  1  0   0  0  0  H
  *   *   *   *   * 576   *   *   * |   0   0   0   0   0   0   0   0   0   0   0   1   0   1   1   1   0   0   0   0   0   0 |  0   0   0   0   0   1   1   0   0   0   0   0   1   1   1   1   0  0   0   0  0  0 |  1  0   1   0  1  0   1  0  0  I
  *   *   *   *   *   * 288   *   * |   0   0   1   0   0   0   0   0   0   0   0   0   2   0   0   0   2   0   0   0   0   0 |  0   0   2   0   2   0   0   0   0   0   0   1   2   0   0   0   1  0   0   0  0  0 |  1  1   2   1  0  0   0  0  0  J
  *   *   *   *   *   *   * 576   * |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   1   1   1   1   0   0 |  0   0   1   0   0   0   0   0   0   0   0   0   1   0   1   1   1  1   1   1  0  0 |  1  1   1   0  0  0   1  1  0  K
  *   *   *   *   *   *   *   * 288 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   2   1 |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   0   0  0   2   2  2  1 |  1  0   0   0  0  0   1  2  1  L
------------------------------------+-----------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------+------------------------------
  2   0   0   0   0   0   0   0   0 | 288   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  1   1   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0   0  0  0 |  1  1   1   0  0  0   0  0  0  AA
  1   1   0   0   0   0   0   0   0 |   * 576   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   1   0   1   1   0   0   0   0   0   0   0   0   0   0   0   0  0   0   0  0  0 |  1  0   1   1  0  0   0  0  0  AB
  1   0   0   0   0   0   1   0   0 |   *   * 288   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   0   2   0   2   0   0   0   0   0   0   0   0   0   0   0   0  0   0   0  0  0 |  0  1   2   1  0  0   0  0  0  AJ'
  0   2   0   0   0   0   0   0   0 |   *   *   * 288   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   1   0   0   0   1   1   0   0   0   0   0   0   0   0   0   0  0   0   0  0  0 |  1  0   1   0  1  0   0  0  0  BB
  0   1   1   0   0   0   0   0   0 |   *   *   *   * 576   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   0   0   1   0   1   0   1   0   0   0   0   0   0   0   0   0  0   0   0  0  0 |  1  0   0   1  1  0   0  0  0  BD
  0   1   0   0   1   0   0   0   0 |   *   *   *   *   * 576   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   0   0   0   1   0   1   1   0   0   0   0   0   0   0   0   0  0   0   0  0  0 |  0  0   1   1  1  0   0  0  0  BH'
  0   0   2   0   0   0   0   0   0 |   *   *   *   *   *   * 288   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   0   0   1   0   0   0   0   1   1   0   0   0   0   0   0   0  0   0   0  0  0 |  1  0   0   1  0  1   0  0  0  DD
  0   0   1   1   0   0   0   0   0 |   *   *   *   *   *   *   * 576   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   0   0   0   0   1   0   0   1   0   1   0   0   0   0   0   0  0   0   0  0  0 |  1  0   0   0  1  1   0  0  0  DF
  0   0   1   1   0   0   0   0   0 |   *   *   *   *   *   *   *   * 576   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   0   0   0   0   0   0   1   0   1   1   0   0   0   0   0   0  0   0   0  0  0 |  0  0   0   1  1  1   0  0  0  DF'
  0   0   0   2   0   0   0   0   0 |   *   *   *   *   *   *   *   *   * 288   *   *   *   *   *   *   *   *   *   *   *   * |  0   0   0   0   0   0   0   0   1   1   0   1   0   0   0   0   0  0   0   0  0  0 |  1  0   0   1  0  1   0  0  0  FF
  0   0   0   1   1   0   0   0   0 |   *   *   *   *   *   *   *   *   *   * 576   *   *   *   *   *   *   *   *   *   *   * |  0   0   0   0   0   1   0   1   0   0   0   1   0   0   0   0   0  0   0   0  0  0 |  1  0   0   1  1  0   0  0  0  FH
  0   0   0   0   1   1   0   0   0 |   *   *   *   *   *   *   *   *   *   *   * 576   *   *   *   *   *   *   *   *   *   * |  0   0   0   0   0   1   1   0   0   0   0   0   1   0   0   0   0  0   0   0  0  0 |  1  0   1   0  1  0   0  0  0  HI
  0   0   0   0   1   0   1   0   0 |   *   *   *   *   *   *   *   *   *   *   *   * 576   *   *   *   *   *   *   *   *   * |  0   0   0   0   1   0   0   0   0   0   0   1   1   0   0   0   0  0   0   0  0  0 |  1  0   1   1  0  0   0  0  0  HJ
  0   0   0   0   0   2   0   0   0 |   *   *   *   *   *   *   *   *   *   *   *   *   * 288   *   *   *   *   *   *   *   * |  0   0   0   0   0   1   0   0   0   0   0   0   0   1   1   0   0  0   0   0  0  0 |  1  0   0   0  1  0   1  0  0  II
  0   0   0   0   0   2   0   0   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   * 288   *   *   *   *   *   *   * |  0   0   0   0   0   0   1   0   0   0   0   0   0   1   0   1   0  0   0   0  0  0 |  0  0   1   0  1  0   1  0  0  II'
  0   0   0   0   0   1   0   1   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 576   *   *   *   *   *   * |  0   0   0   0   0   0   0   0   0   0   0   0   1   0   1   1   0  0   0   0  0  0 |  1  0   1   0  0  0   1  0  0  IK
  0   0   0   0   0   0   1   1   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 576   *   *   *   *   * |  0   0   1   0   0   0   0   0   0   0   0   0   1   0   0   0   1  0   0   0  0  0 |  1  1   1   0  0  0   0  0  0  JK
  0   0   0   0   0   0   0   2   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 288   *   *   *   * |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1  1   1   0  0  0 |  1  1   0   0  0  0   0  1  0  KK
  0   0   0   0   0   0   0   2   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 288   *   *   * |  0   0   1   0   0   0   0   0   0   0   0   0   0   0   0   1   0  1   0   1  0  0 |  0  1   1   0  0  0   1  1  0  KK'
  0   0   0   0   0   0   0   1   1 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 576   *   * |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   0   0  0   1   1  0  0 |  1  0   0   0  0  0   1  1  0  KL
  0   0   0   0   0   0   0   0   2 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 288   * |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   1   0  1  1 |  1  0   0   0  0  0   0  1  1  LL
  0   0   0   0   0   0   0   0   2 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 144 |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0   2  2  0 |  0  0   0   0  0  0   1  2  1  LL'
------------------------------------+-----------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------+------------------------------
  3   0   0   0   0   0   0   0   0 |   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 | 96   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *  *  * |  1  1   0   0  0  0   0  0  0  AAA
  2   2   0   0   0   0   0   0   0 |   1   2   0   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 |  * 288   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *  *  * |  1  0   1   0  0  0   0  0  0  AABB
  2   0   0   0   0   0   2   2   0 |   1   0   2   0   0   0   0   0   0   0   0   0   0   0   0   0   2   0   1   0   0   0 |  *   * 288   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *  *  * |  0  1   1   0  0  0   0  0  0  AAJ'K'K"J"
  1   2   2   0   0   0   0   0   0 |   0   2   0   0   2   0   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 |  *   *   * 288   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *  *  * |  1  0   0   1  0  0   0  0  0  AABDB
  1   1   0   0   1   0   1   0   0 |   0   1   1   0   0   1   0   0   0   0   0   0   1   0   0   0   0   0   0   0   0   0 |  *   *   *   * 576   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *  *  * |  0  0   1   1  0  0   0  0  0  ABH'J'
  0   2   2   2   2   2   0   0   0 |   0   0   0   1   2   0   0   2   0   0   2   2   0   1   0   0   0   0   0   0   0   0 |  *   *   *   *   * 288   *   *   *   *   *   *   *   *   *   *   *  *   *   *  *  * |  1  0   0   0  1  0   0  0  0  BBDFHIIHFD
  0   2   0   0   2   2   0   0   0 |   0   0   0   1   0   2   0   0   0   0   0   2   0   0   1   0   0   0   0   0   0   0 |  *   *   *   *   *   * 288   *   *   *   *   *   *   *   *   *   *  *   *   *  *  * |  0  0   1   0  1  0   0  0  0  BBH'I'I"H"
  0   1   1   1   1   0   0   0   0 |   0   0   0   0   1   1   0   0   1   0   1   0   0   0   0   0   0   0   0   0   0   0 |  *   *   *   *   *   *   * 576   *   *   *   *   *   *   *   *   *  *   *   *  *  * |  0  0   0   1  1  0   0  0  0  BDF'H'
  0   0   2   2   0   0   0   0   0 |   0   0   0   0   0   0   1   2   0   1   0   0   0   0   0   0   0   0   0   0   0   0 |  *   *   *   *   *   *   *   * 288   *   *   *   *   *   *   *   *  *   *   *  *  * |  1  0   0   0  0  1   0  0  0  DDFF
  0   0   2   2   0   0   0   0   0 |   0   0   0   0   0   0   1   0   2   1   0   0   0   0   0   0   0   0   0   0   0   0 |  *   *   *   *   *   *   *   *   * 288   *   *   *   *   *   *   *  *   *   *  *  * |  0  0   0   1  0  1   0  0  0  DDF'F'
  0   0   3   3   0   0   0   0   0 |   0   0   0   0   0   0   0   3   3   0   0   0   0   0   0   0   0   0   0   0   0   0 |  *   *   *   *   *   *   *   *   *   * 192   *   *   *   *   *   *  *   *   *  *  * |  0  0   0   0  1  1   0  0  0  DFD'F'D"F"
  0   0   0   2   2   0   1   0   0 |   0   0   0   0   0   0   0   0   0   1   2   0   2   0   0   0   0   0   0   0   0   0 |  *   *   *   *   *   *   *   *   *   *   * 288   *   *   *   *   *  *   *   *  *  * |  1  0   0   1  0  0   0  0  0  FFHJH
  0   0   0   0   1   1   1   1   0 |   0   0   0   0   0   0   0   0   0   0   0   1   1   0   0   1   1   0   0   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   * 576   *   *   *   *  *   *   *  *  * |  1  0   1   0  0  0   0  0  0  HIKJ
  0   0   0   0   0   4   0   0   0 |   0   0   0   0   0   0   0   0   0   0   0   0   0   2   2   0   0   0   0   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   * 144   *   *   *  *   *   *  *  * |  0  0   0   0  1  0   1  0  0  III'I'
  0   0   0   0   0   2   0   2   1 |   0   0   0   0   0   0   0   0   0   0   0   0   0   1   0   2   0   0   0   2   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   * 288   *   *  *   *   *  *  * |  1  0   0   0  0  0   1  0  0  IIKLK
  0   0   0   0   0   2   0   2   0 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   2   0   0   1   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 288   *  *   *   *  *  * |  0  0   1   0  0  0   1  0  0  II'K'K
  0   0   0   0   0   0   1   2   0 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   1   0   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 288  *   *   *  *  * |  1  1   0   0  0  0   0  0  0  JKK
  0   0   0   0   0   0   0   6   0 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3   3   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 96   *   *  *  * |  0  1   0   0  0  0   0  1  0  KKK'K'K"K"
  0   0   0   0   0   0   0   2   2 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   0   2   1   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  * 288   *  *  * |  1  0   0   0  0  0   0  1  0  KKLL
  0   0   0   0   0   0   0   2   2 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   2   0   1 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   * 288  *  * |  0  0   0   0  0  0   1  1  0  KK'L'L
  0   0   0   0   0   0   0   0   6 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3   3 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   * 96  * |  0  0   0   0  0  0   0  1  1  LLL'L'L"L"
  0   0   0   0   0   0   0   0   3 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *  * 96 |  1  0   0   0  0  0   0  0  1  LLL
------------------------------------+-----------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------+------------------------------
  3   6   6   6   6   6   3   6   3 |   3   6   0   3   6   0   3   6   0   3   6   6   6   3   0   6   6   3   0   6   3   0 |  1   3   0   3   0   3   0   0   3   0   0   3   6   0   3   0   3  0   3   0  0  1 | 96  *   *   *  *  *   *  *  *  tedrid
  3   0   0   0   0   0   3   6   0 |   3   0   3   0   0   0   0   0   0   0   0   0   0   0   0   0   6   3   3   0   0   0 |  1   0   3   0   0   0   0   0   0   0   0   0   0   0   0   0   3  1   0   0  0  0 |  * 96   *   *  *  *   *  *  *  tut
  2   2   0   0   2   2   2   2   0 |   1   2   2   1   0   2   0   0   0   0   0   2   2   0   1   2   2   0   1   0   0   0 |  0   1   1   0   2   0   1   0   0   0   0   0   2   0   0   1   0  0   0   0  0  0 |  *  * 288   *  *  *   *  *  *  hip
  1   2   2   2   2   0   1   0   0 |   0   2   1   0   2   2   1   0   2   1   2   0   2   0   0   0   0   0   0   0   0   0 |  0   0   0   1   2   0   0   2   0   1   0   1   0   0   0   0   0  0   0   0  0  0 |  *  *   * 288  *  *   *  *  *  pip
  0  24  24  24  24  24   0   0   0 |   0   0   0  12  24  24   0  24  24   0  24  24   0  12  12   0   0   0   0   0   0   0 |  0   0   0   0   0  12  12  24   0   0   8   0   0   6   0   0   0  0   0   0  0  0 |  *  *   *   * 24  *   *  *  *  grid
  0   0   6   6   0   0   0   0   0 |   0   0   0   0   0   0   3   6   6   3   0   0   0   0   0   0   0   0   0   0   0   0 |  0   0   0   0   0   0   0   0   3   3   2   0   0   0   0   0   0  0   0   0  0  0 |  *  *   *   *  * 96   *  *  *  hip
  0   0   0   0   0   4   0   4   2 |   0   0   0   0   0   0   0   0   0   0   0   0   0   2   2   4   0   0   2   4   0   1 |  0   0   0   0   0   0   0   0   0   0   0   0   0   1   2   2   0  0   0   2  0  0 |  *  *   *   *  *  * 144  *  *  pip
  0   0   0   0   0   0   0   6   6 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3   3   6   3   3 |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  1   3   3  1  0 |  *  *   *   *  *  *   * 96  *  hip
  0   0   0   0   0   0   0   0  12 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  12   6 |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0   0  4  4 |  *  *   *   *  *  *   *  * 24  tut

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