Acronym tettidjak
Name truncation of tridiminished icosiheptaheptacontidipeton
Circumradius sqrt(6) = 2.449490
Face vector 336, 1608, 2880, 2256, 723, 75
Confer
scaliform relatives:
tedjak  

It is quite remarkable that tedjak allows for some of the same operations as regulars do: this polypeton is nothing but the truncation operation being applied to it.

using below:
x      = A-edge
oo&#x  = B-edge
x3o    = C-face (AAA)
xo&#x  = D-face (ABB)
ooo&#x = E-face (BBB)

Incidence matrix according to symbol extension

trunc( xoo3ooo3oxo *b3oox&#x )

trops( x.. ... ...    ...    ) & | 144   * |  1  0   4   4   0   0 |  4   4  0   4   8   0   2   4   0 |  4   8  2   4  1   4   4  0   4   0   4   0 | 1  4  4  4   4  2   4  0   1 | 2  4  1  1  a
trops( oo.3oo.3oo. *b3oo.&#x ) & |   * 192 |  0  1   0   3   3   3 |  0   6  3   0   3   3   3   6   9 |  0   6  3  15  0   3   1  1   3   4   9   3 | 0  3  2  7  12  1   4  1   3 | 1  5  3  1  b
---------------------------------+---------+-----------------------+-----------------------------------+---------------------------------------------+------------------------------+-----------
trunc( x.. ... ...    ...    ) & |   2   0 | 72  *   *   *   *   *   4   4  0   0   0   0   0   0   0 |  4   8  2   4  0   0   0  0   0   0   0   0 | 1  4  4  4   4  0   0  0   0 | 2  4  1  0  aaA
trunc( oo.3oo.3oo. *b3oo.&#x ) & |   0   2 |  * 96   *   *   *   *   0   6  3   0   0   0   0   0   0 |  0   6  3  15  0   0   0  0   0   0   0   0 | 0  3  2  7  12  0   0  0   0 | 1  5  3  0  bbB
verf(  x..3o.. ...    ...    ) & |   2   0 |  *  * 288   *   *   * |  1   0  0   2   2   0   0   0   0 |  2   2  0   0  1   2   2  0   1   0   0   0 | 1  2  2  1   0  2   2  0   0 | 2  2  0  1  aaC
verfA( xo. ... ...    ...&#x ) & |   1   1 |  *  *   * 576   *   * |  0   1  0   0   2   0   1   2   0 |  0   2  1   2  0   2   1  0   2   0   3   0 | 0  2  1  2   3  1   3  0   1 | 1  3  1  1  abD
verfB( xo. ... ...    ...&#x ) & |   0   2 |  *  *   *   * 288   * |  0   1  0   0   0   2   1   0   2 |  0   2  1   2  0   2   0  1   0   2   2   1 | 0  2  1  2   3  1   2  1   1 | 1  3  1  1  bbD
verf(  ooo3ooo3ooo *b3ooo&#x )   |   0   2 |  *  *   *   *   * 288 |  0   0  1   0   0   0   0   2   4 |  0   0  0   6  0   0   0  0   1   2   4   2 | 0  0  0  3   6  0   2  1   2 | 0  3  2  1  bbE
---------------------------------+---------+-----------------------+-----------------------------------+---------------------------------------------+------------------------------+-----------
trunc( x..3o.. ...    ...    ) & |   6   0 |  3  0   3   0   0   0 | 96   *  *   *   *   *   *   *   * |  2   2  0   0  0   0   0  0   0   0   0   0 | 1  2  2  1   0  0   0  0   0 | 2  2  0  0  {6} (aaA,aaC)3
trunc( xo. ... ...    ...&#x ) & |   2   4 |  1  2   0   2   1   0 |  * 288  *   *   *   *   *   *   * |  0   2  1   2  0   0   0  0   0   0   0   0 | 0  2  1  2   3  0   0  0   0 | 1  3  1  0  {6} (aaA,abD,bbB,bbD,bbB,abD)
trunc( ooo3ooo3ooo *b3ooo&#x )   |   0   6 |  0  3   0   0   0   3 |  *   * 96   *   *   *   *   *   *   0   0  0   6  0   0   0  0   0   0   0   0 | 0  0  0  3   6  0   0  0   0 | 0  3  2  0  {6} (bbB,bbE)3
verf(  x..3o..3o..    ...    ) & |   3   0 |  0  0   3   0   0   0 |  *   *  * 192   *   *   *   *   * |  1   0  0   0  1   1   1  0   0   0   0   0 | 1  1  1  0   0  2   1  0   0 | 2  1  0  1  {3} (aaC)3
verfA( xo.3oo. ...    ...&#x ) & |   2   1 |  0  0   1   2   0   0 |  *   *  *   * 576   *   *   *   * |  0   1  0   0  0   1   1  0   1   0   0   0 | 0  1  1  1   0  1   2  0   0 | 1  2  0  1  {3} (aaC,abD,abD)
verfB( xo.3oo. ...    ...&#x ) & |   0   3 |  0  0   0   0   3   0 |  *   *  *   *   * 192   *   *   * |  0   1  0   0  0   1   0  1   0   1   0   0 | 0  1  1  1   0  1   1  1   0 | 1  2  0  1  {3} (bbD)3
verf(  xo. ... ox.    ...&#x ) & |   1   2 |  0  0   0   2   1   0 |  *   *  *   *   *   * 288   *   * |  0   0  1   0  0   2   0  0   0   0   2   0 | 0  2  0  0   2  1   2  0   1 | 1  2  1  1  {3} (abD,abD,bbD)
verfA( xoo ... ...    ...&#x ) & |   1   2 |  0  0   0   2   0   1 |  *   *  *   *   *   *   * 576   * |  0   0  0   1  0   0   0  0   1   0   2   0 | 0  0  0  1   2  0   2  0   1 | 0  2  1  1  {3} (abD,abD,bbE)
verfB( xoo ... ...    ...&#x ) & |   0   3 |  0  0   0   0   1   2 |  *   *  *   *   *   *   *   * 576 |  0   0  0   1  0   0   0  0   0   1   1   1 | 0  0  0  1   2  0   1  1   1 | 0  2  1  1  {3} (bbD,bbE,bbE)
---------------------------------+---------+-----------------------+-----------------------------------+---------------------------------------------+------------------------------+-----------
trunc( x..3o..3o..    ...    ) &   12   0 |  6  0  12   0   0   0 |  4   0  0   4   0   0   0   0   0 | 48   *  *   *  *   *   *  *   *   *   *   * | 1  1  1  0   0  0   0  0   0 | 2  1  0  0
trunc( xo.3oo. ...    ...&#x ) &    6   6 |  3  3   3   6   3   0 |  1   3  0   0   3   1   0   0   0 |  * 192  *   *  *   *   *  *   *   *   *   * | 0  1  1  1   0  0   0  0   0 | 1  2  0  0
trunc( xo. ... ox.    ...&#x ) &    4   8 |  2  4   0   8   4   0 |  0   4  0   0   0   0   4   0   0 |  *   * 72   *  *   *   *  *   *   *   *   * | 0  2  0  0   2  0   0  0   0 | 1  2  1  0
trunc( xoo ... ...    ...&#x ) &    2  10 |  1  5   0   4   2   6 |  0   2  2   0   0   0   0   2   2 |  *   *  * 288  *   *   *  *   *   *   *   * | 0  0  0  1   2  0   0  0   0 | 0  2  1  0
verf(  x..3o..3o.. *b3o..    ) &    6   0 |  0  0  12   0   0   0 |  0   0  0   8   0   0   0   0   0 |  *   *  *   * 24   *   *  *   *   *   *   * | 1  0  0  0   0  2   0  0   0 | 2  0  0  1
verf(  xo.3oo.3ox.    ...&#x ) &    3   3 |  0  0   3   6   3   0 |  0   0  0   1   3   1   3   0   0 |  *   *  *   *  * 192   *  *   *   *   *   * | 0  1  0  0   0  1   1  0   0 | 1  1  0  1
verfA( xo.3oo. ... *b3oo.&#x ) &    3   1 |  0  0   3   3   0   0 |  0   0  0   1   3   0   0   0   0 |  *   *  *   *  *   * 192  *   *   *   *   * | 0  0  1  0   0  1   1  0   0 | 1  1  0  1
verfB( xo.3oo. ... *b3oo.&#x ) &    0   4 |  0  0   0   0   6   0 |  0   0  0   0   0   4   0   0   0 |  *   *  *   *  *   *   * 48   *   *   *   * | 0  0  1  0   0  1   0  1   0 | 1  1  0  1
verfA( xoo3ooo ...    ...&#x ) &    2   2 |  0  0   1   4   0   1 |  0   0  0   0   2   0   0   2   0 |  *   *  *   *  *   *   *  * 288   *   *   * | 0  0  0  1   0  0   2  0   0 | 0  2  0  1
verfB( xoo3ooo ...    ...&#x ) &    0   4 |  0  0   0   0   3   3 |  0   0  0   0   0   1   0   0   3 |  *   *  *   *  *   *   *  *   * 192   *   * | 0  0  0  1   0  0   1  1   0 | 0  2  0  1
verfA( xoo ... oxo    ...&#x ) &    1   3 |  0  0   0   3   1   2 |  0   0  0   0   0   0   1   2   1 |  *   *  *   *  *   *   *  *   *   * 576   * | 0  0  0  0   1  0   1  0   1 | 0  1  1  1
verfB( xoo ... oxo    ...&#x ) &    0   4 |  0  0   0   0   2   4 |  0   0  0   0   0   0   0   0   4 |  *   *  *   *  *   *   *  *   *   *   * 144 | 0  0  0  0   1  0   0  1   1 | 0  1  1  1
---------------------------------+---------+-----------------------+-----------------------------------+---------------------------------------------+------------------------------+-----------
trunc( x..3o..3o.. *b3o..    ) &   48   0 | 24  0  96   0   0   0 | 32   0  0  64   0   0   0   0   0 | 16   0  0   0  8   0   0  0   0   0   0   0 | 3  *  *  *   *  *   *  *   * | 2  0  0  0
trunc( xo.3oo.3ox.    ...&#x ) &   24  24 | 12 12  24  48  24   0 |  8  24  0   8  24   8  24   0   0 |  2   8  6   0  0   8   0  0   0   0   0   0 | * 24  *  *   *  *   *  *   * | 1  1  0  0
trunc( xo.3oo. ... *b3oo.&#x ) &   12   8 |  6  4  12  12   6   0 |  4   6  0   4  12   4   0   0   0 |  1   4  0   0  0   0   4  1   0   0   0   0 | *  * 48  *   *  *   *  *   * | 1  1  0  0
trunc( xoo3ooo ...    ...&#x ) &    6  14 |  3  7   3  12   6   9 |  1   6  3   0   6   2   0   6   6 |  0   2  0   3  0   0   0  0   3   2   0   0 | *  *  * 96   *  *   *  *   * | 0  2  0  0
trunc( xoo ... oxo    ...&#x ) &    4  16 |  2  8   0  12   6  12 |  0   6  4   0   0   0   4   8   8 |  0   0  1   4  0   0   0  0   0   0   4   1 | *  *  *  * 144  *   *  *   * | 0  1  1  0
verf(  xo.3oo.3ox. *b3oo.&#x ) &    6   4 |  0  0  12  12   6   0 |  0   0  0   8  12   4   6   0   0 |  0   0  0   0  1   4   4  1   0   0   0   0 | *  *  *  *   * 48   *  *   * | 1  0  0  1
verfA( xoo3ooo3oxo    ...&#x ) &    3   4 |  0  0   3   9   3   3 |  0   0  0   1   6   1   3   6   3 |  0   0  0   0  0   1   1  0   3   1   3   0 | *  *  *  *   *  * 192  *   * | 0  1  0  1
verfB( xoo3ooo3oxo    ...&#x ) &    0   8 |  0  0   0   0  12  12 |  0   0  0   0   0   8   0   0  24 |  0   0  0   0  0   0   0  2   0   8   0   6 | *  *  *  *   *  *   * 24   * | 0  1  0  1
verf(  xoo ... oxo    oox&#x )      1   4 |  0  0   0   4   2   4 |  0   0  0   0   0   0   2   4   4 |  0   0  0   0  0   0   0  0   0   0   4   1 | *  *  *  *   *  *   *  * 144 | 0  0  1  1
---------------------------------+---------+-----------------------+-----------------------------------+---------------------------------------------+------------------------------+-----------
trunc( xo.3oo.3ox. *b3oo.&#x ) &   96  64 | 48 32 192 192  96   0 | 64  96  0 128 192  64  96   0   0 | 32  64 24   0 16  64  64 16   0   0   0   0 | 2  8 16  0   0 16   0  0   0 | 3  *  *  *
trunc( xoo3ooo3oxo    ...&#x ) &   24  40 | 12 20  24  72  36  36 |  8  36 12   8  48  16  24  48  48 |  2  16  6  24  0   8   8  2  24  16  24   6 | 0  1  2  8   6  0   8  1   0 | * 24  *  *
trunc( xoo ... oxo    oox&#x )      6  24 |  3 12   0  24  12  24 |  0  12  8   0   0   0  12  24  24 |  0   0  3  12  0   0   0  0   0   0  24   6 | 0  0  0  0   6  0   0  0   6 | *  * 24  *
verf(  xoo3ooo3oxo *b3oox&#x )      6   8 |  0  0  12  24  12  12 |  0   0  0   8  24   8  12  24  24 |  0   0  0   0  1   8   8  2  12   8  24   6 | 0  0  0  0   0  2   8  1   6 | *  *  * 24

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