Acronym spidrico
Name swirlprismatodiminished rectified icositetrachoron,
24-diminished rectified icositetrachoron
Circumradius sqrt(3) = 1.732051
Face vector 72, 288, 288, 72
Confer
uniform relative:
rico  
general polytopal classes:
isogonal  
External
links
polytopewiki  

Rico can be obtained as hull of kitapna, which is the compound of 4 icoes. Spidrico is obtained therefrom by chopping off 24 of its vertex pyramids in a swirl-symmetric distribution, that is, it is the hull of just 3 of those icoes. All cubes thereby get reduced to qo3oq&#x, any co gets chirally tridiminished at every alternate vertex of its medial hexagon. Additionally the former vertex figures (x q3o) come in. (Thus it is an isogonal polychoron only.)


Incidence matrix

72 |  2  2   4 |  1   6  4  2 |  3  2  2
---+-----------+--------------+---------
 2 | 72  *   * |  1   2  0  0 |  2  1  0  x
 2 |  * 72   * |  0   2  2  0 |  2  1  1  x
 2 |  *  * 144 |  0   1  1  1 |  1  1  1  q
---+-----------+--------------+---------
 3 |  3  0   0 | 24   *  *  * |  2  0  0  xxx
 3 |  1  1   1 |  * 144  *  * |  1  1  0  xxq
 4 |  0  2   2 |  *   * 72  * |  1  0  1  xqxq
 3 |  0  0   3 |  *   *  * 48 |  0  1  1  qqq
---+-----------+--------------+---------
 9 |  6  6   6 |  2   6  3  0 | 24  *  *  chiral tridim. co
 6 |  3  3   6 |  0   6  0  2 |  * 24  *  qo3oq&#x
 6 |  0  3   6 |  0   0  3  2 |  *  * 24  x q3o

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