Acronym	gisiddip
Name	great-inverted-snub-icosidodecahedron prism
Face vector	120, 360, 334, 94
External links

As abstract polytope gisiddip is isomorphic to sniddip, thereby replacing retrograde pentagrams by (prograde) pentagons, resp. replacing stip by pip and gisid by snid. – Further it is isomorphic to gosiddip, thereby replacing retrograde pentagrams by prograde pentagrams, resp. gisid by gosid. – Finally it is isomorphic to girsiddip, thereby replacing prograde icosahedral triangles by retrrograde icosahedral triangles, resp. gisid by girsid.

Incidence matrix according to Dynkin symbol

x s3s5/3s

. demi( . .   . ) | 120 |  1  1   2   2 |  2  1  1  1  2   3 |  1  1 1  3
------------------+-----+---------------+--------------------+-----------
.     ( s  2  s ) |   2 | 60  *   *   * |  0  0  0  1  0   2 |  0  0 1  2
x demi( . .   . ) |   2 |  * 60   *   * |  2  0  0  1  2   0 |  1  1 0  3
. sefa( s3s   . ) |   2 |  *  * 120   * |  1  1  0  0  0   1 |  1  0 1  1
. sefa( . s5/3s ) |   2 |  *  *   * 120 |  0  0  1  0  1   1 |  0  1 1  1
------------------+-----+---------------+--------------------+-----------
x     ( s  2  s ) |   4 |  0  2   2   0 | 60  *  *  *  *   * |  1  0 0  1
.       s3s   .   ♦   3 |  0  0   3   0 |  * 40  *  *  *   * |  1  0 1  0
.       . s5/3s   ♦   5 |  0  0   0   5 |  *  * 24  *  *   * |  0  1 1  0
x sefa( s3s   . ) |   4 |  2  2   0   0 |  *  *  * 30  *   * |  0  0 0  2
x sefa( . s5/3s ) |   4 |  0  2   0   2 |  *  *  *  * 60   * |  0  1 0  1
. sefa( s3s5/3s ) |   3 |  1  0   1   1 |  *  *  *  *  * 120 |  0  0 1  1
------------------+-----+---------------+--------------------+-----------
x       s3s   .   ♦   6 |  0  3   6   0 |  3  2  0  0  0   0 | 20  * *  *
x       . s5/3s   ♦  10 |  0  5   0  10 |  0  0  2  0  5   0 |  * 12 *  *
.       s3s5/3s   ♦  60 | 30  0  60  60 |  0 20 12  0  0  60 |  *  * 2  *
x sefa( s3s5/3s ) ♦   6 |  2  3   2   2 |  1  0  0  1  1   2 |  *  * * 60

s3s5/3s || s3s5/3s
(gisid || gisid)

demi( . .   . )                   | 60  * |  1  2  2  1  0  0  0 |  1  1  3  1  2  2  0  0  0 | 1  1  1  3 0
                  demi( . .   . ) |  * 60 |  0  0  0  1  1  2  2 |  0  0  0  1  2  2  1  1  3 | 0  1  1  3 1
----------------------------------+-------+----------------------+----------------------------+-------------
      s  2  s                     |  2  0 | 30  *  *  *  *  *  * |  0  0  2  1  0  0  0  0  0 | 1  0  0  2 0
sefa( s3s   . )                   |  2  0 |  * 60  *  *  *  *  * |  1  0  1  0  1  0  0  0  0 | 1  1  0  1 0
sefa( . s5/3s )                   |  2  0 |  *  * 60  *  *  *  * |  0  1  1  0  0  1  0  0  0 | 1  0  1  1 0
demi( . .   . ) || demi( . .   . ) |  1  1 |  *  *  * 60  *  *  * |  0  0  0  1  2  2  0  0  0 | 0  1  1  3 0
                        s  2  s   |  0  2 |  *  *  *  * 30  *  * |  0  0  0  1  0  0  0  0  2 | 0  0  0  2 1
                  sefa( s3s   . ) |  0  2 |  *  *  *  *  * 60  * |  0  0  0  0  1  0  1  0  1 | 0  1  0  1 1
                  sefa( . s5/3s ) |  0  2 |  *  *  *  *  *  * 60 |  0  0  0  0  0  1  0  1  1 | 0  0  1  1 1
----------------------------------+-------+----------------------+----------------------------+-------------
      s3s   .                     ♦  3  0 |  0  3  0  0  0  0  0 | 20  *  *  *  *  *  *  *  * | 1  1  0  0 0
      . s5/3s                     ♦  5  0 |  0  0  5  0  0  0  0 |  * 12  *  *  *  *  *  *  * | 1  0  1  0 0
sefa( s3s5/3s )                   |  3  0 |  1  1  1  0  0  0  0 |  *  * 60  *  *  *  *  *  * | 1  0  0  1 0
      s  2  s   ||       s  2  s   |  2  2 |  1  0  0  2  1  0  0 |  *  *  * 30  *  *  *  *  * | 0  0  0  2 0
sefa( s3s   . ) || sefa( s3s   . ) |  2  2 |  0  1  0  2  0  1  0 |  *  *  *  * 60  *  *  *  * | 0  1  0  1 0
sefa( . s5/3s ) || sefa( . s5/3s ) |  2  2 |  0  0  1  2  0  0  1 |  *  *  *  *  * 60  *  *  * | 0  0  1  1 0
                        s3s   .   ♦  0  3 |  0  0  0  0  0  3  0 |  *  *  *  *  *  * 20  *  * | 0  1  0  0 1
                        . s5/3s   ♦  0  5 |  0  0  0  0  0  0  5 |  *  *  *  *  *  *  * 12  * | 0  0  1  0 1
                  sefa( s3s5/3s ) |  0  3 |  0  0  0  0  1  1  1 |  *  *  *  *  *  *  *  * 60 | 0  0  0  1 1
----------------------------------+-------+----------------------+----------------------------+-------------
      s3s5/3s                     ♦ 60  0 | 30 60 60  0  0  0  0 | 20 12 60  0  0  0  0  0  0 | 1  *  *  * *
      s3s   .   ||       s3s   .   ♦  3  3 |  0  3  0  3  0  3  0 |  1  0  0  0  3  0  1  0  0 | * 20  *  * *
      . s5/3s   ||       . s5/3s   ♦  5  5 |  0  0  5  5  0  0  5 |  0  1  0  0  0  5  0  1  0 | *  * 12  * *
sefa( s3s5/3s ) || sefa( s3s5/3s ) ♦  3  3 |  1  1  1  3  1  1  1 |  0  0  1  1  1  1  0  0  1 | *  *  * 60 *
                        s3s5/3s   ♦  0 60 |  0  0  0  0 30 60 60 |  0  0  0  0  0  0 20 12 60 | *  *  *  * 1