Acronym	tipe, K-4.127
Name	truncated-icosahedron prism
Segmentochoron display	©
Circumradius	sqrt[(31+9 sqrt(5))/8] = 2.527959
Dihedral angles	at {4} between hip and pip:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632° at {4} between hip and hip:   arccos(-sqrt(5)/3) = 138.189685° at {6} between hip and ti:   90° at {5} between pip and ti:   90°
Face vector	120, 240, 154, 34
Confer	general polytopal classes: Wythoffian polychora   segmentochora
External links

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

Incidence matrix according to Dynkin symbol

x x3x5o

. . . . | 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
. . x5o |   5 |  0  0   5 |  *  *  * 24 |  0  1 1
--------+-----+-----------+-------------+--------
x x3x . ♦  12 |  6  6   6 |  3  3  2  0 | 20  * *
x . x5o ♦  10 |  5  0  10 |  0  5  0  2 |  * 12 *
. x3x5o ♦  60 |  0 30  60 |  0  0 20 12 |  *  * 2

snubbed forms: β2β3x5o

x x3x5/4o

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

xx3xx5oo&#x   → height = 1
(ti || ti)

o.3o.5o.    | 60  * |  1  2  1  0  0 |  2  1  1  2  0  0 | 1  2  1 0
.o3.o5.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
oo3oo5oo&#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.5o.    |  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.o    |  0  5 |  0  0  0  0  5 |  *  *  *  *  * 12 | 0  0  1 1
------------+-------+----------------+-------------------+----------
x.3x.5o.    ♦ 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  * *
.. xx5oo&#x ♦  5  5 |  0  5  5  0  5 |  0  1  0  5  0  1 | *  * 12 *
.x3.x5.o    ♦  0 60 |  0  0  0 30 60 |  0  0  0  0 20 12 | *  *  * 1