Acronym sirsiddip
Name small-(inverted)-retrosnub-icosicosidodecahedron prism
Cross sections
 ©
Circumradius sqrt[17+3 sqrt(5)-sqrt[102+46 sqrt(5)]]/4 = 0.766294
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Face vector 120, 420, 404, 114
External
links
hedrondude   polytopewiki

As abstract polytope sirsiddip is isomorphic to sesidip, thereby replacing retrrograde icosahedral triangles by prograde ones, resp. replacing sirsid by seside.


Incidence matrix according to Dynkin symbol

x s5/2s3/2s3/2*b

. demi( .   .   .      ) | 120 |  1   2   2   2 |  2  2  2  1  1  1   3 |  1  1  1  3 1
-------------------------+-----+----------------+-----------------------+--------------
x demi( .   .   .      ) |   2 | 60   *   *   * |  2  2  2  0  0  0   0 |  1  1  1  3 0
. sefa( s5/2s   .      ) |   2 |  * 120   *   * |  1  0  0  1  0  0   1 |  1  0  0  1 1
. sefa( s   .   s3/2*b ) |   2 |  *   * 120   * |  0  1  0  0  1  0   1 |  0  1  0  1 1
. sefa( .   s3/2s      ) |   2 |  *   *   * 120 |  0  0  1  0  0  1   1 |  0  0  1  1 1
-------------------------+-----+----------------+-----------------------+--------------
x sefa( s5/2s   .      ) |   4 |  2   2   0   0 | 60  *  *  *  *  *   * |  1  0  0  1 0
x sefa( s   .   s3/2*b ) |   4 |  2   0   2   0 |  * 60  *  *  *  *   * |  0  1  0  1 0
x sefa( .   s3/2s      ) |   4 |  2   0   0   2 |  *  * 60  *  *  *   * |  0  0  1  1 0
.       s5/2s   .           5 |  0   5   0   0 |  *  *  * 24  *  *   * |  1  0  0  0 1
.       s   .   s3/2*b      3 |  0   0   3   0 |  *  *  *  * 40  *   * |  0  1  0  0 1
.       .   s3/2s           3 |  0   0   0   3 |  *  *  *  *  * 40   * |  0  0  1  0 1
. sefa( s5/2s3/2s3/2*b ) |   3 |  0   1   1   1 |  *  *  *  *  *  * 120 |  0  0  0  1 1
-------------------------+-----+----------------+-----------------------+--------------
x       s5/2s   .          10 |  5  10   0   0 |  5  0  0  2  0  0   0 | 12  *  *  * *
x       s   .   s3/2*b      6 |  3   0   6   0 |  0  3  0  0  2  0   0 |  * 20  *  * *
x       .   s3/2s           6 |  3   0   0   6 |  0  0  3  0  0  2   0 |  *  * 20  * *
x sefa( s5/2s3/2s3/2*b )    6 |  3   2   2   2 |  1  1  1  0  0  0   2 |  *  *  * 60 *
.       s5/2s3/2s3/2*b     60 |  0  60  60  60 |  0  0  0 12 20 20  60 |  *  *  *  * 2

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