Acronym	tiddip, K-4.130
Name	truncated-dodecahedron prism
Segmentochoron display
Circumradius	sqrt[(39+15 sqrt(5))/8] = 3.011250
Dihedral angles	at {4} between dip and trip:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632° at {4} between dip and dip:   arccos(-1/sqrt(5)) = 116.565051° at {10} between dip and tid:   90° at {3} between tid and trip:   90°
Face vector	120, 240, 154, 34
Confer	general polytopal classes: Wythoffian polychora   segmentochora
External links

As abstract polytope tiddip is isomorphic to quit gissiddip, thereby replacing decagons by decagrams, resp. replacing tid by quit gissid and dip by stiddip.

Incidence matrix according to Dynkin symbol

x o3x5x

. . . . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
--------+-----+-----------+-------------+--------
x . . . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. . x . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. . . x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
--------+-----+-----------+-------------+--------
x . x . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x . . x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o3x . |   3 |  0   3  0 |  *  * 40  * |  1  0 1
. . x5x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
--------+-----+-----------+-------------+--------
x o3x . ♦   6 |  3   6  0 |  3  0  2  0 | 20  * *
x . x5x ♦  20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o3x5x ♦  60 |  0  60 30 |  0  0 20 12 |  *  * 2

x o3/2x5x

. .   . . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
----------+-----+-----------+-------------+--------
x .   . . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. .   x . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. .   . x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
----------+-----+-----------+-------------+--------
x .   x . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x .   . x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o3/2x . |   3 |  0   3  0 |  *  * 40  * |  1  0 1
. .   x5x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x o3/2x . ♦   6 |  3   6  0 |  3  0  2  0 | 20  * *
x .   x5x ♦  20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o3/2x5x ♦  60 |  0  60 30 |  0  0 20 12 |  *  * 2

oo3xx5xx&#x   → height = 1
(tid || tid)

o.3o.5o.    | 60  * |  2  1  1  0  0 |  1  2  2  1  0  0 | 1  1  2 0
.o3.o5.o    |  * 60 |  0  0  1  2  1 |  0  0  2  1  1  2 | 0  1  2 1
------------+-------+----------------+-------------------+----------
.. x. ..    |  2  0 | 60  *  *  *  * |  1  1  1  0  0  0 | 1  1  1 0
.. .. x.    |  2  0 |  * 30  *  *  * |  0  2  0  1  0  0 | 1  0  2 0
oo3oo5oo&#x |  1  1 |  *  * 60  *  * |  0  0  2  1  0  0 | 0  1  2 0
.. .x ..    |  0  2 |  *  *  * 60  * |  0  0  1  0  1  1 | 0  1  1 1
.. .. .x    |  0  2 |  *  *  *  * 30 |  0  0  0  1  0  2 | 0  0  2 1
------------+-------+----------------+-------------------+----------
o.3x. ..    |  3  0 |  3  0  0  0  0 | 20  *  *  *  *  * | 1  1  0 0
.. x.5x.    | 10  0 |  5  5  0  0  0 |  * 12  *  *  *  * | 1  0  1 0
.. xx ..&#x |  2  2 |  1  0  2  1  0 |  *  * 60  *  *  * | 0  1  1 0
.. .. xx&#x |  2  2 |  0  1  2  0  1 |  *  *  * 30  *  * | 0  0  2 0
.o3.x ..    |  0  3 |  0  0  0  3  0 |  *  *  *  * 20  * | 0  1  0 1
.. .x5.x    |  0 10 |  0  0  0  5  5 |  *  *  *  *  * 12 | 0  0  1 1
------------+-------+----------------+-------------------+----------
o.3x.5x.    ♦ 60  0 | 60 30  0  0  0 | 20 12  0  0  0  0 | 1  *  * *
oo3xx ..&#x ♦  3  3 |  3  0  3  3  0 |  1  0  3  0  1  0 | * 20  * *
.. xx5xx&#x ♦ 10 10 |  5  5 10  5  5 |  0  1  5  5  0  1 | *  * 12 *
.o3.x5.x    ♦  0 60 |  0  0  0 60 30 |  0  0  0  0 20 12 | *  *  * 1