Acronym	gissiddip
Name	great-stellated-dodecahedron prism
Cross sections	©
Circumradius	sqrt[(11-3 sqrt(5))/8] = 0.732444
Colonel of regiment	(is itself locally convex – no other uniform polychoral members)
Dihedral angles	at {5/2} between gissid and stip:   90° at {4} between stip and stip:   arccos(1/sqrt(5)) = 63.434949°
Face vector	40, 80, 54, 14
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gissiddip is isomorphic to dope, thereby replacing pentagrams by pentagons resp. replacing gissid by doe and stip by pip.

Incidence matrix according to Dynkin symbol

x o3o5/2x

. . .   . | 40 |  1  3 |  3  3 |  3 1
----------+----+-------+-------+-----
x . .   . |  2 | 20  * |  3  0 |  3 0
. . .   x |  2 |  * 60 |  1  2 |  2 1
----------+----+-------+-------+-----
x . .   x |  4 |  2  2 | 30  * |  2 0
. . o5/2x |  5 |  0  5 |  * 24 |  1 1
----------+----+-------+-------+-----
x . o5/2x ♦ 10 |  5 10 |  5  2 | 12 *
. o3o5/2x ♦ 20 |  0 30 |  0 12 |  * 2

snubbed forms: β2o3o5/2β

x o3o5/3x

. . .   . | 40 |  1  3 |  3  3 |  3 1
----------+----+-------+-------+-----
x . .   . |  2 | 20  * |  3  0 |  3 0
. . .   x |  2 |  * 60 |  1  2 |  2 1
----------+----+-------+-------+-----
x . .   x |  4 |  2  2 | 30  * |  2 0
. . o5/3x |  5 |  0  5 |  * 24 |  1 1
----------+----+-------+-------+-----
x . o5/3x ♦ 10 |  5 10 |  5  2 | 12 *
. o3o5/3x ♦ 20 |  0 30 |  0 12 |  * 2

x o3/2o5/2x

. .   .   . | 40 |  1  3 |  3  3 |  3 1
------------+----+-------+-------+-----
x .   .   . |  2 | 20  * |  3  0 |  3 0
. .   .   x |  2 |  * 60 |  1  2 |  2 1
------------+----+-------+-------+-----
x .   .   x |  4 |  2  2 | 30  * |  2 0
. .   o5/2x |  5 |  0  5 |  * 24 |  1 1
------------+----+-------+-------+-----
x .   o5/2x ♦ 10 |  5 10 |  5  2 | 12 *
. o3/2o5/2x ♦ 20 |  0 30 |  0 12 |  * 2

x o3/2o5/3x

. .   .   . | 40 |  1  3 |  3  3 |  3 1
------------+----+-------+-------+-----
x .   .   . |  2 | 20  * |  3  0 |  3 0
. .   .   x |  2 |  * 60 |  1  2 |  2 1
------------+----+-------+-------+-----
x .   .   x |  4 |  2  2 | 30  * |  2 0
. .   o5/3x |  5 |  0  5 |  * 24 |  1 1
------------+----+-------+-------+-----
x .   o5/3x ♦ 10 |  5 10 |  5  2 | 12 *
. o3/2o5/3x ♦ 20 |  0 30 |  0 12 |  * 2

oo3oo5/2xx&#x   → height = 1
(gissid || gissid)

o.3o.5/2o.    | 20  * |  3  1  0 |  3  3  0 | 1  3 0
.o3.o5/2.o    |  * 20 |  0  1  3 |  0  3  3 | 0  3 1
--------------+-------+----------+----------+-------
.. ..   x.    |  2  0 | 30  *  * |  2  1  0 | 1  2 0
oo3oo5/2oo&#x |  1  1 |  * 20  * |  0  3  0 | 0  3 0
.. ..   .x    |  0  2 |  *  * 30 |  0  1  2 | 0  2 1
--------------+-------+----------+----------+-------
.. o.5/2x.    |  5  0 |  5  0  0 | 12  *  * | 1  1 0
.. ..   xx&#x |  2  2 |  1  2  1 |  * 30  * | 0  2 0
.. .o5/2.x    |  0  5 |  0  0  5 |  *  * 12 | 0  1 1
--------------+-------+----------+----------+-------
o.3o.5/2x.    ♦ 20  0 | 30  0  0 | 12  0  0 | 1  * *
.. oo5/2xx&#x ♦  5  5 |  5  5  5 |  1  5  1 | * 12 *
.o3.o5/2.x    ♦  0 20 |  0  0 30 |  0  0 12 | *  * 1