Acronym tipe, K-4.127 Name truncated-icosahedron prism Segmentochoron display Circumradius sqrt[(31+9 sqrt(5))/8] = 2.527959 Externallinks

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
```

```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
```