Acronym	tiggipe
Name	truncated-great-icosahedron prism
Circumradius	sqrt[(31-9 sqrt(5))/8] = 1.165943
Dihedral angles	at {4} between hip and stip:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317° at {6} between hip and tiggy:   90° at {5/2} between stip and tiggy:   90° at {4} between hip and hip:   arccos(sqrt(5)/3) = 41.810315°
Face vector	120, 240, 154, 34
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope tiggipe is isomorphic to tipe, thereby replacing pentagrams by pentagons resp. replacing tiggy by ti and stip by pip.

Incidence matrix according to Dynkin symbol

x x3x5/2o

. . .   . | 120 |  1  1   1 |  1  2  2  1 |  2  1 1
----------+-----+-----------+-------------+--------
x . .   . |   2 | 60  *   * |  1  2  0  0 |  2  1 0
. x .   . |   2 |  * 60   * |  1  0  2  0 |  2  0 1
. . x   . |   2 |  *  * 120 |  0  1  1  1 |  1  1 1
----------+-----+-----------+-------------+--------
x x .   . |   4 |  2  2   0 | 30  *  *  * |  2  0 0
x . x   . |   4 |  2  0   2 |  * 60  *  * |  1  1 0
. x3x   . |   6 |  0  3   3 |  *  * 40  * |  1  0 1
. . x5/2o |   5 |  0  0   5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x x3x   . ♦  12 |  6  6   6 |  3  3  2  0 | 20  * *
x . x5/2o ♦  10 |  5  0  10 |  0  5  0  2 |  * 12 *
. x3x5/2o ♦  60 |  0 30  60 |  0  0 20 12 |  *  * 2

x x3x5/3o

. . .   . | 120 |  1  1   1 |  1  2  2  1 |  2  1 1
----------+-----+-----------+-------------+--------
x . .   . |   2 | 60  *   * |  1  2  0  0 |  2  1 0
. x .   . |   2 |  * 60   * |  1  0  2  0 |  2  0 1
. . x   . |   2 |  *  * 120 |  0  1  1  1 |  1  1 1
----------+-----+-----------+-------------+--------
x x .   . |   4 |  2  2   0 | 30  *  *  * |  2  0 0
x . x   . |   4 |  2  0   2 |  * 60  *  * |  1  1 0
. x3x   . |   6 |  0  3   3 |  *  * 40  * |  1  0 1
. . x5/3o |   5 |  0  0   5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x x3x   . ♦  12 |  6  6   6 |  3  3  2  0 | 20  * *
x . x5/3o ♦  10 |  5  0  10 |  0  5  0  2 |  * 12 *
. x3x5/3o ♦  60 |  0 30  60 |  0  0 20 12 |  *  * 2

xx3xx5/2oo&#x   → height = 1
(tiggy || tiggy)

o.3o.5/2o.    | 60  * |  1  2  1  0  0 |  2  1  1  2  0  0 | 1  2  1 0
.o3.o5/2.o    |  * 60 |  0  0  1  1  2 |  0  0  1  2  2  1 | 0  2  1 1
--------------+-------+----------------+-------------------+----------
x. ..   ..    |  2  0 | 30  *  *  *  * |  2  0  1  0  0  0 | 1  2  0 0
.. x.   ..    |  2  0 |  * 60  *  *  * |  1  1  0  1  0  0 | 1  1  1 0
oo3oo5/2oo&#x |  1  1 |  *  * 60  *  * |  0  0  1  2  0  0 | 0  2  1 0
.x ..   ..    |  0  2 |  *  *  * 30  * |  0  0  1  0  2  0 | 0  2  0 1
.. .x   ..    |  0  2 |  *  *  *  * 60 |  0  0  0  1  1  1 | 0  1  1 1
--------------+-------+----------------+-------------------+----------
x.3x.   ..    |  6  0 |  3  3  0  0  0 | 20  *  *  *  *  * | 1  1  0 0
.. x.5/2o.    |  5  0 |  0  5  0  0  0 |  * 12  *  *  *  * | 1  0  1 0
xx ..   ..&#x |  2  2 |  1  0  2  1  0 |  *  * 30  *  *  * | 0  2  0 0
.. xx   ..&#x |  2  2 |  0  1  2  0  1 |  *  *  * 60  *  * | 0  1  1 0
.x3.x   ..    |  0  6 |  0  0  0  3  3 |  *  *  *  * 20  * | 0  1  0 1
.. .x5/2.o    |  0  5 |  0  0  0  0  5 |  *  *  *  *  * 12 | 0  0  1 1
--------------+-------+----------------+-------------------+----------
x.3x.5/2o.    ♦ 60  0 | 30 60  0  0  0 | 20 12  0  0  0  0 | 1  *  * *
xx3xx   ..&#x ♦  6  6 |  3  3  6  3  3 |  1  0  3  3  1  0 | * 20  * *
.. xx5/2oo&#x ♦  5  5 |  0  5  5  0  5 |  0  1  0  5  0  1 | *  * 12 *
.x3.x5/2.o    ♦  0 60 |  0  0  0 30 60 |  0  0  0  0 20 12 | *  *  * 1