Acronym	gaddip
Name	great-dodecahedron prism
Cross sections	©
Circumradius	sqrt[(7+sqrt(5))/8] = 1.074481
General of army	ipe
Colonel of regiment	ipe
External links

As abstract polytope gaddip is isomorphic to sissiddip, thereby replacing pentagons by pentagrams resp. replacing gad by sissid and pip by stip. – As such gaddip is a lieutenant.

Incidence matrix according to Dynkin symbol

x x5o5/2o

. . .   . | 24 |  1  5 |  5  5 |  5 1
----------+----+-------+-------+-----
x . .   . |  2 | 12  * |  5  0 |  5 0
. x .   . |  2 |  * 60 |  1  2 |  2 1
----------+----+-------+-------+-----
x x .   . |  4 |  2  2 | 30  * |  2 0
. x5o   . |  5 |  0  5 |  * 24 |  1 1
----------+----+-------+-------+-----
x x5o   . ♦ 10 |  5 10 |  5  2 | 12 *
. x5o5/2o ♦ 12 |  0 30 |  0 12 |  * 2

x x5o5/3o

. . .   . | 24 |  1  5 |  5  5 |  5 1
----------+----+-------+-------+-----
x . .   . |  2 | 12  * |  5  0 |  5 0
. x .   . |  2 |  * 60 |  1  2 |  2 1
----------+----+-------+-------+-----
x x .   . |  4 |  2  2 | 30  * |  2 0
. x5o   . |  5 |  0  5 |  * 24 |  1 1
----------+----+-------+-------+-----
x x5o   . ♦ 10 |  5 10 |  5  2 | 12 *
. x5o5/3o ♦ 12 |  0 30 |  0 12 |  * 2

x x5/4o5/2o

. .   .   . | 24 |  1  5 |  5  5 |  5 1
------------+----+-------+-------+-----
x .   .   . |  2 | 12  * |  5  0 |  5 0
. x   .   . |  2 |  * 60 |  1  2 |  2 1
------------+----+-------+-------+-----
x x   .   . |  4 |  2  2 | 30  * |  2 0
. x5/4o   . |  5 |  0  5 |  * 24 |  1 1
------------+----+-------+-------+-----
x x5/4o   . ♦ 10 |  5 10 |  5  2 | 12 *
. x5/4o5/2o ♦ 12 |  0 30 |  0 12 |  * 2

x x5/4o5/3o

. .   .   . | 24 |  1  5 |  5  5 |  5 1
------------+----+-------+-------+-----
x .   .   . |  2 | 12  * |  5  0 |  5 0
. x   .   . |  2 |  * 60 |  1  2 |  2 1
------------+----+-------+-------+-----
x x   .   . |  4 |  2  2 | 30  * |  2 0
. x5/4o   . |  5 |  0  5 |  * 24 |  1 1
------------+----+-------+-------+-----
x x5/4o   . ♦ 10 |  5 10 |  5  2 | 12 *
. x5/4o5/3o ♦ 12 |  0 30 |  0 12 |  * 2

xx5oo5/2oo&#x   → height = 1
(gad || gad)

o.5o.5/2o.    | 12  * |  5  1  0 |  5  5  0 | 1  5 0
.o5.o5/2.o    |  * 12 |  0  1  5 |  0  5  5 | 0  5 1
--------------+-------+----------+----------+-------
x. ..   ..    |  2  0 | 30  *  * |  2  1  0 | 1  2 0
oo5oo5/2oo&#x |  1  1 |  * 12  * |  0  5  0 | 0  5 0
.x ..   ..    |  0  2 |  *  * 30 |  0  1  2 | 0  2 1
--------------+-------+----------+----------+-------
x.5o.   ..    |  5  0 |  5  0  0 | 12  *  * | 1  1 0
xx ..   ..&#x |  2  2 |  1  2  1 |  * 30  * | 0  2 0
.x5.o   ..    |  0  5 |  0  0  5 |  *  * 12 | 0  1 1
--------------+-------+----------+----------+-------
x.5o.5/2o.    ♦ 12  0 | 30  0  0 | 12  0  0 | 1  * *
xx5oo   ..&#x ♦  5  5 |  5  5  5 |  1  5  1 | * 12 *
.x5.o5/2.o    ♦  0 12 |  0  0 30 |  0  0 12 | *  * 1