Acronym bidsid pixhi
Name bi-icositetra-diminished small disprismatohexacosihecatonicosachoron
Circumradius 3+sqrt(5) = 5.236068
Dihedral angles
  • at {4} between pip and trip:   arccos(-sqrt[(10+2 sqrt(5))/15]) = 169.187683°
  • at {5} between doe and pip:   162°
  • at {3} between tedrid and trip:   150°
  • at {4} between pip and tedrid:   arccos(-sqrt[(5+sqrt(5))/10]) = 148.282526°
  • at {5} between doe and tedrid:   144°
  • at {10} between tedrid and tedrid:   144°
Confer
uniform relative:
sidpixhi  
related CRFs:
bidex   idsid pixhi  
segmentochora:
doe || srid  

In the same way, as bidex was derived as a bi-icositetrachoral diminishing of ex, bidsid pixhi can be derived as a bi-icositetrachoral diminishing of sidpixhi. – Alternatively it can be obtained as a further icositetrachoral diminishing idsid pixhi. – The fundamental domain of bidex, coming out to be identical to bidex' chiral vertex figure, which there clearly encompasses just a single vertex, here would encompass a complete doe. Therefore bidsid pixhi clearly is no longer uniform (as weren't lots of the Johnson solids neither).

Bidex was diminished at 48 vertices. Bidsid pixhi accordingly will be diminished at 48 does. In fact 48 doe-cupolae will be chopped off. Any individual of those clearly is a doe || srid. Just as the corresponding ikepy did intersect in bidex, these cupolae do intersect here too, resulting in tedrid cells (instead of srid ones).

      C--A__
    /   -__  ---A__
  /    .    -D------B
 F    b     |    .   \
 |\ .   .  |   . c    \
 E \    __G__      .   E
  | I--    d  - __ _ - |
   | |     .      H   F
    | |          /   /
     H_|. g  .  /  /
       J-- __  /_I
              J

Corresponding to the 2-fold rotational symmetry of that fundamental domain we call the vertices of doe as A, ..., J (as additionally is displayed nearby). The other elements of bidsid pixhi then can be classified accordingly, as given below. The prime always denotes elements mirrored at a domain face which is close to A. The hash is the same with respect to a domain face which is close to J. The remaining domain face mirror images are denoted by an asterisk. (The edges emanating from A and intersecting those domain faces need to be distinguished further, as to be closer to vertex B or C. Accordingly those are labeled Ab' resp. Ac' below.)


Incidence matrix

A           | 144   *   *   *   *   *   *   *   *   * |  1   1   1   0   0   0   0   0   0   0   0   0   0   0   0  0   1   1   0   0   0   0   0  0 |   1  0  0   2   1   1   0   0   0   0  0   2   1   0   0   0   0  0 |  1  0   2  0  1  1
B           |   * 144   *   *   *   *   *   *   *   * |  0   1   0   1   1   0   0   0   0   0   0   0   0   0   0  0   0   0   1   0   0   0   0  0 |   0  0  0   0   1   0   1   0   0   0  0   1   1   1   0   0   0  0 |  0  0   1  0  1  2
C           |   *   * 144   *   *   *   *   *   *   * |  0   0   1   0   0   1   1   0   0   0   0   0   0   0   0  0   0   0   0   2   0   0   0  0 |   0  1  0   0   0   2   0   2   0   0  0   1   1   0   1   0   0  0 |  0  1   2  0  1  1
D           |   *   *   * 144   *   *   *   *   *   * |  0   0   0   1   0   1   0   1   0   0   0   0   0   0   0  0   0   0   0   0   2   0   0  0 |   0  0  1   0   0   0   2   2   0   0  0   1   0   1   1   0   0  0 |  0  1   2  0  1  1
E           |   *   *   *   * 144   *   *   *   *   * |  0   0   0   0   1   0   0   0   1   1   0   0   0   0   0  0   0   0   0   0   0   1   0  0 |   0  0  0   0   0   0   0   0   1   1  0   0   1   1   0   1   0  1 |  0  0   0  1  1  2
F           |   *   *   *   *   * 144   *   *   *   * |  0   0   0   0   0   0   1   0   1   0   1   0   0   0   0  0   1   0   0   0   0   0   1  0 |   1  0  0   1   0   1   0   0   1   0  1   0   1   0   1   1   0  0 |  1  0   1  1  1  1
G           |   *   *   *   *   *   * 144   *   *   * |  0   0   0   0   0   0   0   1   0   0   0   1   1   0   0  0   0   0   1   0   0   0   0  0 |   0  0  0   0   1   0   1   0   0   0  0   0   0   1   1   0   1  1 |  0  0   1  0  1  2
H           |   *   *   *   *   *   *   * 144   *   * |  0   0   0   0   0   0   0   0   0   1   0   1   0   1   0  0   0   0   0   0   0   0   0  1 |   0  0  0   0   0   0   0   0   0   2  0   0   0   1   0   1   1  1 |  0  0   0  1  1  2
I           |   *   *   *   *   *   *   *   * 144   * |  0   0   0   0   0   0   0   0   0   0   1   0   1   0   1  0   0   1   0   0   0   0   1  0 |   1  0  0   1   1   0   0   0   1   0  1   0   0   0   1   1   1  0 |  1  0   1  1  1  1
J           |   *   *   *   *   *   *   *   *   * 144 |  0   0   0   0   0   0   0   0   0   0   0   0   0   1   1  1   0   0   0   0   0   1   0  0 |   0  0  0   0   0   0   0   0   1   1  0   0   0   0   0   1   2  1 |  0  0   0  1  1  2
------------+-----------------------------------------+----------------------------------------------------------------------------------------------+---------------------------------------------------------------------+-------------------
AA          |   2   0   0   0   0   0   0   0   0   0 | 72   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   2   0   0   0   0   0   0  0   2   0   0   0   0   0  0 |  1  0   2  0  1  0
AB          |   1   1   0   0   0   0   0   0   0   0 |  * 144   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   1   0   0   0   0   0  0   1   1   0   0   0   0  0 |  0  0   1  0  1  1
AC          |   1   0   1   0   0   0   0   0   0   0 |  *   * 144   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   1   0   0   0   0  0   1   1   0   0   0   0  0 |  0  0   1  0  1  1
BD          |   0   1   0   1   0   0   0   0   0   0 |  *   *   * 144   *   *   *   *   *   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   1   0   0   0  0   1   0   1   0   0   0  0 |  0  0   1  0  1  1
BE          |   0   1   0   0   1   0   0   0   0   0 |  *   *   *   * 144   *   *   *   *   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   0   0   0   0  0   0   1   1   0   0   0  1 |  0  0   0  0  1  2
CD          |   0   0   1   1   0   0   0   0   0   0 |  *   *   *   *   * 144   *   *   *   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   0   2   0   0  0   1   0   0   1   0   0  0 |  0  1   2  0  1  0
CF          |   0   0   1   0   0   1   0   0   0   0 |  *   *   *   *   *   * 144   *   *   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   1   0   0   0   0  0   0   1   0   1   0   0  0 |  0  0   1  0  1  1
DG          |   0   0   0   1   0   0   1   0   0   0 |  *   *   *   *   *   *   * 144   *   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   1   0   0   0  0   0   0   1   1   0   0  0 |  0  0   1  0  1  1
EF          |   0   0   0   0   1   1   0   0   0   0 |  *   *   *   *   *   *   *   * 144   *   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   0   0   1   0  0   0   1   0   0   1   0  0 |  0  0   0  1  1  1
EH          |   0   0   0   0   1   0   0   1   0   0 |  *   *   *   *   *   *   *   *   * 144   *   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   0   0   0   1  0   0   0   1   0   1   0  0 |  0  0   0  1  1  1
FI          |   0   0   0   0   0   1   0   0   1   0 |  *   *   *   *   *   *   *   *   *   * 144   *   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   1   0   0   0   0   0   0  1   0   0   0   1   1   0  0 |  1  0   1  1  1  0
GH          |   0   0   0   0   0   0   1   1   0   0 |  *   *   *   *   *   *   *   *   *   *   * 144   *   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   0   0   0   0  0   0   0   1   0   0   1  1 |  0  0   0  0  1  2
GI          |   0   0   0   0   0   0   1   0   1   0 |  *   *   *   *   *   *   *   *   *   *   *   * 144   *   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   1   0   0   0   0   0  0   0   0   0   1   0   1  0 |  0  0   1  0  1  1
HJ          |   0   0   0   0   0   0   0   1   0   1 |  *   *   *   *   *   *   *   *   *   *   *   *   * 144   *  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   0   0   0   1  0   0   0   0   0   1   1  0 |  0  0   0  1  1  1
IJ          |   0   0   0   0   0   0   0   0   1   1 |  *   *   *   *   *   *   *   *   *   *   *   *   *   * 144  *   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   0   0   1   0  0   0   0   0   0   1   1  0 |  0  0   0  1  1  1
JJ          |   0   0   0   0   0   0   0   0   0   2 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 72   *   *   *   *   *   *   *  * |   0  0  0   0   0   0   0   0   0   0  0   0   0   0   0   0   2  1 |  0  0   0  0  1  2
Ac'&F*      |   1   0   0   0   0   1   0   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  * 144   *   *   *   *   *   *  * |   1  0  0   1   0   1   0   0   0   0  0   0   0   0   0   0   0  0 |  1  0   1  0  0  1
Ab'&I*      |   1   0   0   0   0   0   0   0   1   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   * 144   *   *   *   *   *  * |   1  0  0   1   1   0   0   0   0   0  0   0   0   0   0   0   0  0 |  1  0   1  0  0  1
B'&G*       |   0   1   0   0   0   0   1   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   * 144   *   *   *   *  * |   0  0  0   0   1   0   1   0   0   0  0   0   0   0   0   0   0  1 |  0  0   1  0  0  2
C'&C*       |   0   0   2   0   0   0   0   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *   * 144   *   *   *  * |   0  1  0   0   0   1   0   1   0   0  0   0   0   0   0   0   0  0 |  0  1   1  0  0  1
D'&D*       |   0   0   0   2   0   0   0   0   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *   *   * 144   *   *  * |   0  0  1   0   0   0   1   1   0   0  0   0   0   0   0   0   0  0 |  0  1   1  0  0  1
E#&J#       |   0   0   0   0   1   0   0   0   0   1 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *   *   *   * 144   *  * |   0  0  0   0   0   0   0   0   1   1  0   0   0   0   0   0   0  1 |  0  0   0  1  0  2
F#&I#       |   0   0   0   0   0   1   0   0   1   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *   *   *   *   * 144  * |   1  0  0   0   0   0   0   0   1   0  1   0   0   0   0   0   0  0 |  1  0   0  1  0  1
H#          |   0   0   0   0   0   0   0   2   0   0 |  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *   *   *   *   *   *   * 72 |   0  0  0   0   0   0   0   0   0   2  0   0   0   0   0   0   0  1 |  0  0   0  1  0  2
------------+-----------------------------------------+----------------------------------------------------------------------------------------------+---------------------------------------------------------------------+-------------------
A&F&I       |   1   0   0   0   0   1   0   0   1   0 |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   1   1   0   0   0   0   1  0 | 144  *  *   *   *   *   *   *   *   *  *   *   *   *   *   *   *  * |  1  0   0  0  0  1
C           |   0   0   3   0   0   0   0   0   0   0 |  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0   0   0   3   0   0   0  0 |   * 48  *   *   *   *   *   *   *   *  *   *   *   *   *   *   *  * |  0  1   0  0  0  1
D           |   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  0   0   0   0   0   3   0   0  0 |   *  * 48   *   *   *   *   *   *   *  *   *   *   *   *   *   *  * |  0  1   0  0  0  1
AA'&FI*     |   2   0   0   0   0   1   0   0   1   0 |  1   0   0   0   0   0   0   0   0   0   1   0   0   0   0  0   1   1   0   0   0   0   0  0 |   *  *  * 144   *   *   *   *   *   *  *   *   *   *   *   *   *  * |  1  0   1  0  0  0
AB'&GI*     |   1   1   0   0   0   0   1   0   1   0 |  0   1   0   0   0   0   0   0   0   0   0   0   1   0   0  0   0   1   1   0   0   0   0  0 |   *  *  *   * 144   *   *   *   *   *  *   *   *   *   *   *   *  * |  0  0   1  0  0  1
AC'&CF*     |   1   0   2   0   0   1   0   0   0   0 |  0   0   1   0   0   0   1   0   0   0   0   0   0   0   0  0   1   0   0   1   0   0   0  0 |   *  *  *   *   * 144   *   *   *   *  *   *   *   *   *   *   *  * |  0  0   1  0  0  1
BD'&DG*     |   0   1   0   2   0   0   1   0   0   0 |  0   0   0   1   0   0   0   1   0   0   0   0   0   0   0  0   0   0   1   0   1   0   0  0 |   *  *  *   *   *   * 144   *   *   *  *   *   *   *   *   *   *  * |  0  0   1  0  0  1
CD'&CD*     |   0   0   2   2   0   0   0   0   0   0 |  0   0   0   0   0   2   0   0   0   0   0   0   0   0   0  0   0   0   0   1   1   0   0  0 |   *  *  *   *   *   *   * 144   *   *  *   *   *   *   *   *   *  * |  0  1   1  0  0  0
EF#&IJ#     |   0   0   0   0   1   1   0   0   1   1 |  0   0   0   0   0   0   0   0   1   0   0   0   0   0   1  0   0   0   0   0   0   1   1  0 |   *  *  *   *   *   *   *   * 144   *  *   *   *   *   *   *   *  * |  0  0   0  1  0  1
EH#&HJ#     |   0   0   0   0   1   0   0   2   0   1 |  0   0   0   0   0   0   0   0   0   1   0   0   0   1   0  0   0   0   0   0   0   1   0  1 |   *  *  *   *   *   *   *   *   * 144  *   *   *   *   *   *   *  * |  0  0   0  1  0  1
FI#         |   0   0   0   0   0   2   0   0   2   0 |  0   0   0   0   0   0   0   0   0   0   2   0   0   0   0  0   0   0   0   0   0   0   2  0 |   *  *  *   *   *   *   *   *   *   * 72   *   *   *   *   *   *  * |  1  0   0  1  0  0
AABDC       |   2   1   1   1   0   0   0   0   0   0 |  1   1   1   1   0   1   0   0   0   0   0   0   0   0   0  0   0   0   0   0   0   0   0  0 |   *  *  *   *   *   *   *   *   *   *  * 144   *   *   *   *   *  * |  0  0   1  0  1  0
ABEFC       |   1   1   1   0   1   1   0   0   0   0 |  0   1   1   0   1   0   1   0   1   0   0   0   0   0   0  0   0   0   0   0   0   0   0  0 |   *  *  *   *   *   *   *   *   *   *  *   * 144   *   *   *   *  * |  0  0   0  0  1  1
BDGHE       |   0   1   0   1   1   0   1   1   0   0 |  0   0   0   1   1   0   0   1   0   1   0   1   0   0   0  0   0   0   0   0   0   0   0  0 |   *  *  *   *   *   *   *   *   *   *  *   *   * 144   *   *   *  * |  0  0   0  0  1  1
CDGIF       |   0   0   1   1   0   1   1   0   1   0 |  0   0   0   0   0   1   1   1   0   0   1   0   1   0   0  0   0   0   0   0   0   0   0  0 |   *  *  *   *   *   *   *   *   *   *  *   *   *   * 144   *   *  * |  0  0   1  0  1  0
EFIJH       |   0   0   0   0   1   1   0   1   1   1 |  0   0   0   0   0   0   0   0   1   1   1   0   0   1   1  0   0   0   0   0   0   0   0  0 |   *  *  *   *   *   *   *   *   *   *  *   *   *   *   * 144   *  * |  0  0   0  1  1  0
GHJJI       |   0   0   0   0   0   0   1   1   1   2 |  0   0   0   0   0   0   0   0   0   0   0   1   1   1   1  1   0   0   0   0   0   0   0  0 |   *  *  *   *   *   *   *   *   *   *  *   *   *   *   *   * 144  * |  0  0   0  0  1  1
decagon     |   0   2   0   0   2   0   2   2   0   2 |  0   0   0   0   2   0   0   0   0   0   0   2   0   0   0  1   0   0   2   0   0   2   0  1 |   *  *  *   *   *   *   *   *   *   *  *   *   *   *   *   *   * 72 |  0  0   0  0  0  2
------------+-----------------------------------------+----------------------------------------------------------------------------------------------+---------------------------------------------------------------------+-------------------
AA&FI          2   0   0   0   0   2   0   0   2   0 |  1   0   0   0   0   0   0   0   0   0   2   0   0   0   0  0   2   2   0   0   0   0   2  0 |   2  0  0   2   0   0   0   0   0   0  1   0   0   0   0   0   0  0 | 72  *   *  *  *  *
CD             0   0   3   3   0   0   0   0   0   0 |  0   0   0   0   0   3   0   0   0   0   0   0   0   0   0  0   0   0   0   3   3   0   0  0 |   0  1  1   0   0   0   0   3   0   0  0   0   0   0   0   0   0  0 |  * 48   *  *  *  *
AABDC&CDGIF    2   1   2   2   0   1   1   0   1   0 |  1   1   1   1   0   2   1   1   0   0   1   0   1   0   0  0   1   1   1   1   1   0   0  0 |   0  0  0   1   1   1   1   1   0   0  0   1   0   0   1   0   0  0 |  *  * 144  *  *  *
EFIJH          0   0   0   0   2   2   0   2   2   2 |  0   0   0   0   0   0   0   0   2   2   2   0   0   2   2  0   0   0   0   0   0   2   2  1 |   0  0  0   0   0   0   0   0   2   2  1   0   0   0   0   2   0  0 |  *  *   * 72  *  *
doe            2   2   2   2   2   2   2   2   2   2 |  1   2   2   2   2   2   2   2   2   2   2   2   2   2   2  1   0   0   0   0   0   0   0  0 |   0  0  0   0   0   0   0   0   0   0  0   2   2   2   2   2   2  0 |  *  *   *  * 72  *
tedrid         3   6   3   3   6   3   6   6   3   6 |  0   3   3   3   6   0   3   3   3   3   0   6   3   3   3  3   3   3   6   3   3   6   3  3 |   3  1  1   0   3   3   3   0   3   3  0   0   3   3   0   0   3  3 |  *  *   *  *  * 48

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