Acronym twau tipe
Name twelve-augmented truncated-icosahedral prism
Face vector 132, 360, 334, 106
Confer
blend-components:
tipe   pippy  
related CRFs:
xoxxFxxox3oxoxoxoxo5ooxoooxoo&#xt   twau iddip  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xFx3xox5ooo&#xt   → both heights = 1/2
(ti || pseudo F-ike || ti)

o..3o..5o..     & | 120  * |  1   2   1  1 |  2  1   2  1  2  1 | 1  1  2  2
.o.3.o.5.o.       |   * 12   0   0  10  0 |  0  0  10  0  0  5 | 0  2  0  5
------------------+--------+---------------+--------------------+-----------
x.. ... ...     & |   2  0 | 60   *   *  * |  2  0   0  1  0  0 | 1  0  2  0
... x.. ...     & |   2  0 |  * 120   *  * |  1  1   1  0  1  0 | 1  1  1  1
oo.3oo.5oo.&#x  & |   1  1 |  *   * 120  * |  0  0   2  0  0  1 | 0  1  0  2
o.o3o.o5o.o&#x    |   2  0 |  *   *   * 60 |  0  0   0  1  2  1 | 0  0  2  2
------------------+--------+---------------+--------------------+-----------
x..3x.. ...     & |   6  0 |  3   3   0  0 | 40  *   *  *  *  * | 1  0  1  0
... x..5o..     & |   5  0 |  0   5   0  0 |  * 24   *  *  *  * | 1  1  0  0
... xo. ...&#x  & |   2  1 |  0   1   2  0 |  *  * 120  *  *  * | 0  1  0  1
x.x ... ...&#x    |   4  0 |  2   0   0  2 |  *  *   * 30  *  * | 0  0  2  0
... x.x ...&#x    |   4  0 |  0   2   0  2 |  *  *   *  * 60  * | 0  0  1  1
ooo3ooo5ooo&#x    |   2  1 |  0   0   2  1 |  *  *   *  *  * 60 | 0  0  0  2
------------------+--------+---------------+--------------------+-----------
x..3x..5o..     &   60  0 | 30  60   0  0 | 20 12   0  0  0  0 | 2  *  *  *
... xo.5oo.&#x  &    5  1 |  0   5   5  0 |  0  1   5  0  0  0 | * 24  *  *
x.x3x.x ...&#x      12  0 |  6   6   0  6 |  2  0   0  3  3  0 | *  * 20  *
... xox ...&#x       4  1 |  0   2   4  2 |  0  0   2  0  1  2 | *  *  * 60

xF3xo5oo xo&#zx   → height = 0
(tegum sum of tipe and F-ike)

o.3o.5o. o.    | 120  * |  1   2  1   1 |  2  1  1  2   2  1 | 1  2  1  2
.o3.o5.o .o    |   * 12   0   0  0  10 |  0  0  0  0  10  5 | 0  0  2  5
---------------+--------+---------------+--------------------+-----------
x. .. .. ..    |   2  0 | 60   *  *   * |  2  0  1  0   0  0 | 1  2  0  0
.. x. .. ..    |   2  0 |  * 120  *   * |  1  1  0  1   1  0 | 1  1  1  1
.. .. .. x.    |   2  0 |  *   * 60   * |  0  0  1  2   0  1 | 0  2  0  2
oo3oo5oo oo&#x |   1  1 |  *   * 120  * |  0  0  0  0   2  1 | 0  0  1  2
---------------+--------+---------------+--------------------+-----------
x.3x. .. ..    |   6  0 |  3   3  0   0 | 40  *  *  *   *  * | 1  1  0  0
.. x.5o. ..    |   5  0 |  0   5  0   0 |  * 24  *  *   *  * | 1  0  1  0
x. .. .. x.    |   4  0 |  2   0  2   0 |  *  * 30  *   *  * | 0  2  0  0
.. x. .. x.    |   4  0 |  0   2  2   0 |  *  *  * 60   *  * | 0  1  0  1
.. xo .. ..&#x |   2  1 |  0   1  0   2 |  *  *  *  * 120  * | 0  0  1  1
.. .. .. xo&#x |   2  1 |  0   0  1   2 |  *  *  *  *   * 60 | 0  0  0  2
---------------+--------+---------------+--------------------+-----------
x.3x.5o. ..      60  0 | 30  60  0   0 | 20 12  0  0   0  0 | 2  *  *  *
x.3x. .. x.      12  0 |  6   6  6   0 |  2  0  3  3   0  0 | * 20  *  *
.. xo5oo ..&#x    5  1 |  0   5  0   5 |  0  1  0  0   5  0 | *  * 24  *
.. xo .. xo&#x    4  1 |  0   2  2   4 |  0  0  0  1   2  2 | *  *  * 60

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