Acronym rasdi
Name retrosnub icositetrachoron,
retrosnub disicositetrachoron
Cross sections
 ©
Circumradius (sqrt(5)-1)/2 = 0.618034
Vertex figure
Face vector 96, 432, 480, 144
Confer
uniform relative:
gax  
segmentochora:
gikepy  
External
links
hedrondude   polytopewiki  

As abstract polytope rasdi is isomorph to sadi, thereby replacing pentagrams by pentagons, resp. by replacing gike by ike.

This polychoron has ionic icoic symmetry.


Incidence matrix according to Dynkin symbol

s3/2s4o3o

demi( .   . . . ) | 96    3   6 |  3   9  3 |  3  1  4
------------------+----+---------+-----------+---------
      .   s4o .   |  2 | 144   * |  0   2  2 |  1  1  2
sefa( s3/2s . . ) |  2 |   * 288 |  1   2  0 |  2  0  1
------------------+----+---------+-----------+---------
      s3/2s . .     3 |   0   3 | 96   *  * |  2  0  0
sefa( s3/2s4o . ) |  3 |   1   2 |  * 288  * |  1  0  1
sefa( .   s4o3o ) |  3 |   3   0 |  *   * 96 |  0  1  1
------------------+----+---------+-----------+---------
      s3/2s4o .    12 |   6  24 |  8  12  0 | 24  *  *
      .   s4o3o     4 |   6   0 |  0   0  4 |  * 24  *
sefa( s3/2s4o3o )   4 |   3   3 |  0   3  1 |  *  * 96

starting figure: x3/2x4o3o (Grünbaumian)

s3/2s3/2s4o

demi( .   .   . . ) | 96   2  1  2   4 |  1  2   6  3  3 |  2  1 1  4
--------------------+----+--------------+-----------------+-----------
      s   2   s .   |  2 | 96  *  *   * |  0  0   2  2  0 |  1  1 0  2
      .   .   s4o   |  2 |  * 48  *   * |  0  0   0  2  2 |  0  1 1  2
sefa( s3/2s   . . ) |  2 |  *  * 96   * |  1  0   2  0  0 |  2  0 0  1
sefa( .   s3/2s . ) |  2 |  *  *  * 192 |  0  1   1  0  1 |  1  0 1  1
--------------------+----+--------------+-----------------+-----------
      s3/2s   . .     3 |  0  0  3   0 | 32  *   *  *  * |  2  0 0  0
      .   s3/2s .     3 |  0  0  0   3 |  * 64   *  *  * |  1  0 1  0
sefa( s3/2s3/2s . ) |  3 |  1  0  1   1 |  *  * 192  *  * |  1  0 0  1
sefa( s   2   s4o ) |  3 |  2  1  0   0 |  *  *   * 96  * |  0  1 0  1
sefa( .   s3/2s4o ) |  3 |  0  1  0   2 |  *  *   *  * 96 |  0  0 1  1
--------------------+----+--------------+-----------------+-----------
      s3/2s3/2s .    12 |  6  0 12  12 |  4  4  12  0  0 | 16  * *  *
      s   2   s4o     4 |  4  2  0   0 |  0  0   0  4  0 |  * 24 *  *
      .   s3/2s4o    12 |  0  6  0  24 |  0  8   0  0 12 |  *  * 8  *
sefa( s3/2s3/2s4o )   4 |  2  1  1   2 |  0  0   2  1  1 |  *  * * 96

starting figure: x3/2x3/2x4o (Grünbaumian)

s3/2s3/2s *b3/2s

demi( .   .   .      . ) | 96   1  1  1  2  2  2 |  1  1  1  3  3  3  3 | 1 1  1 1  4
-------------------------+----+-------------------+----------------------+------------
      s   2   s      .   |  2 | 48  *  *  *  *  * |  0  0  0  2  0  2  0 | 1 0  1 0  2
      s   2   .      s   |  2 |  * 48  *  *  *  * |  0  0  0  0  2  2  0 | 0 1  1 0  2
      .   2   s      s   |  2 |  *  * 48  *  *  * |  0  0  0  0  0  2  2 | 0 0  1 1  2
sefa( s3/2s   .      . ) |  2 |  *  *  * 96  *  * |  1  0  0  1  1  0  0 | 1 1  0 0  1
sefa( .   s3/2s      . ) |  2 |  *  *  *  * 96  * |  0  1  0  1  0  0  1 | 1 0  0 1  1
sefa( .   s   . *b3/2s ) |  2 |  *  *  *  *  * 96 |  0  0  1  0  1  0  1 | 0 1  0 1  1
-------------------------+----+-------------------+----------------------+------------
      s3/2s   .      .     3 |  0  0  0  3  0  0 | 32  *  *  *  *  *  * | 1 1  0 0  0
      .   s3/2s      .     3 |  0  0  0  0  3  0 |  * 32  *  *  *  *  * | 1 0  0 1  0
      .   s   . *b3/2s     3 |  0  0  0  0  0  3 |  *  * 32  *  *  *  * | 0 1  0 1  0
sefa( s3/2s3/2s      . ) |  3 |  1  0  0  1  1  0 |  *  *  * 96  *  *  * | 1 0  0 0  1
sefa( s3/2s   . *b3/2s ) |  3 |  0  1  0  1  0  1 |  *  *  *  * 96  *  * | 0 1  0 0  1
sefa( s   2   s    2 s ) |  3 |  1  1  1  0  0  0 |  *  *  *  *  * 96  * | 0 0  1 0  1
sefa( .   s3/2s *b3/2s ) |  3 |  0  0  1  0  1  1 |  *  *  *  *  *  * 96 | 0 0  0 1  1
-------------------------+----+-------------------+----------------------+------------
      s3/2s3/2s      .    12 |  6  0  0 12 12  0 |  4  4  0 12  0  0  0 | 8 *  * *  *
      s3/2s   . *b3/2s    12 |  0  6  0 12  0 12 |  4  0  4  0 12  0  0 | * 8  * *  *
      s   2   s    2 s     4 |  2  2  2  0  0  0 |  0  0  0  0  0  4  0 | * * 24 *  *
      .   s3/2s *b3/2s    12 |  0  0  6  0 12 12 |  0  4  4  0  0  0 12 | * *  * 8  *
sefa( s3/2s3/2s *b3/2s )   4 |  1  1  1  1  1  1 |  0  0  0  1  1  1  1 | * *  * * 96

starting figure: x3/2x3/2x *b3/2x (Grünbaumian)

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