Acronym sesidip
Name small-snub-icosicosidodecahedron prism
Circumradius sqrt[17+3 sqrt(5)+sqrt[102+46 sqrt(5)]]/4 = 1.541531
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
External
links
hedrondude   polytopewiki  

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


Incidence matrix according to Dynkin symbol

x s5/2s3s3*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*b ) |   2 |  *   * 120   * |  0  1  0  0  1  0   1 |  0  1  0  1 1
. sefa( .   s3s    ) |   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*b ) |   4 |  2   0   2   0 |  * 60  *  *  *  *   * |  0  1  0  1 0
x sefa( .   s3s    ) |   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*b      3 |  0   0   3   0 |  *  *  *  * 40  *   * |  0  1  0  0 1
.       .   s3s         3 |  0   0   0   3 |  *  *  *  *  * 40   * |  0  0  1  0 1
. sefa( s5/2s3s3*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*b      6 |  3   0   6   0 |  0  3  0  0  2  0   0 |  * 20  *  * *
x       .   s3s         6 |  3   0   0   6 |  0  0  3  0  0  2   0 |  *  * 20  * *
x sefa( s5/2s3s3*b )    6 |  3   2   2   2 |  1  1  1  0  0  0   2 |  *  *  * 60 *
.       s5/2s3s3*b     60 |  0  60  60  60 |  0  0  0 12 20 20  60 |  *  *  *  * 2

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