Acronym prarsi
Name prismatorhombiretrosnub icositetrachoron
Circumradius sqrt[4-sqrt(5)] = 1.328131
Coordinates
  • (0, 1/2, -(sqrt(5)-1)/4, (7-sqrt(5))/4)          & all even permutations, all changes of sign
  • (1/2, 1, (3-sqrt(5))/4, (5-sqrt(5))/4)           & all even permutations, all changes of sign
Confer
general polytopal classes:
scaliform  
External
links
hedrondude  

As abstract polytope prarsi is isomorphic to prissi, thereby replacing retrograde squares by progrades, respectively gike by ike.

This is a scaliform polychoron, obtained by chopping off all but 288 vertices of gidipthi.


Incidence matrix according to Dynkin symbol

s3/2s4o3x

demi( .   . . . ) | 288 |   2   1   4 |  1   2   3   4  2 |  1  2  1  3
------------------+-----+-------------+-------------------+------------
demi( .   . . x ) |   2 | 288   *   * |  1   0   0   2  1 |  0  1  1  2
      .   s4o .   |   2 |   * 144   * |  0   0   2   0  2 |  1  0  1  2
sefa( s3/2s . . ) |   2 |   *   * 576 |  0   1   1   1  0 |  1  1  0  1
------------------+-----+-------------+-------------------+------------
demi( .   . o3x ) |   3 |   3   0   0 | 96   *   *   *  * |  0  0  1  1
      s3/2s . .      3 |   0   0   3 |  * 192   *   *  * |  1  1  0  0
sefa( s3/2s4o . ) |   3 |   0   1   2 |  *   * 288   *  * |  1  0  0  1
sefa( s3/2s 2 x ) |   4 |   2   0   2 |  *   *   * 288  * |  0  1  0  1
sefa( .   s4o3x ) |   6 |   3   3   0 |  *   *   *   * 96 |  0  0  1  1
------------------+-----+-------------+-------------------+------------
      s3/2s4o .     12 |   0   6  24 |  0   8  12   0  0 | 24  *  *  *
      s3/2s 2 x      6 |   3   0   6 |  0   2   0   3  0 |  * 96  *  *
      .   s4o3x     12 |  12   6   0 |  4   0   0   0  4 |  *  * 24  *
sefa( s3/2s4o3x )    9 |   6   3   6 |  1   0   3   3  1 |  *  *  * 96

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