Acronym gisiddip
Name great-inverted-snub-icosidodecahedron prism
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hedrondude  

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

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