Acronym ...
Name (mono) tetal tratet augmented tetdip
Circumradius sqrt(3)/2 = 0.866025
Confer
related segmentopeta:
tetdip   tetal tratet  
general polytopal classes:
orbiform  

This polypeton happens to be orbiform.

It can be produced as a bistratic stack as an external blend from the segmentopeta tetdip and tetal tratet.


Incidence matrix according to Dynkin symbol


oxo3ooo oxx3ooo3xoo&#x   → height(1,2) = 1/sqrt(6) = 0.408248, 
                           height(2,3) = sqrt(2/3) = 0.816497
(tet || (pseudo) inv tratet || dual tet)

o..3o.. o..3o..3o..     | 4  * * | 3  9  0  0  0 0 | 3  9  9 18 0  0  0  0  0 0 | 1  3  9 18  3  9  9 0  0 0 0  0  0 0 |  3  6  3  9  9 3 0 0 0  0 0 | 1 3 3 3 0 0
.o.3.o. .o.3.o.3.o.     | * 12 * | 0  3  2  3  1 0 | 0  6  6  3 1  6  3  2  3 0 | 0  3 12  6  3  3  1 3  6 1 1  6  3 0 |  6  3  6  6  2 1 3 2 3  6 1 | 3 3 1 2 3 2
..o3..o ..o3..o3..o     | *  * 4 | 0  0  0  0  3 3 | 0  0  0  0 0  0  0  3  9 3 | 0  0  0  0  0  0  0 0  0 0 1  9  9 1 |  0  0  0  0  0 0 0 0 3  9 3 | 0 0 0 0 3 3
------------------------+--------+-----------------+----------------------------+--------------------------------------+-----------------------------+------------
... ... ... ... x..     | 2  0 0 | 6  *  *  *  * * | 2  0  0  6 0  0  0  0  0 0 | 1  0  0  6  0  3  6 0  0 0 0  0  0 0 |  0  2  0  3  6 3 0 0 0  0 0 | 0 1 2 3 0 0
oo.3oo. oo.3oo.3oo.&#x  | 1  1 0 | * 36  *  *  * * | 0  2  2  2 0  0  0  0  0 0 | 0  1  4  4  1  2  1 0  0 0 0  0  0 0 |  2  2  2  4  2 1 0 0 0  0 0 | 1 2 1 2 0 0
.x. ... ... ... ...     | 0  2 0 | *  * 12  *  * * | 0  3  0  0 1  3  0  1  0 0 | 0  3  6  3  0  0  0 3  3 0 1  3  0 0 |  6  3  3  3  1 0 3 1 3  3 0 | 3 3 1 1 3 1
... ... .x. ... ...     | 0  2 0 | *  *  * 18  * * | 0  0  2  0 0  2  2  0  1 0 | 0  0  4  0  2  1  0 1  4 1 0  2  2 0 |  2  0  4  2  0 1 2 2 1  4 1 | 2 1 0 2 2 2
.oo3.oo .oo3.oo3.oo&#x  | 0  1 1 | *  *  *  * 12 * | 0  0  0  0 0  0  0  2  3 0 | 0  0  0  0  0  0  0 0  0 0 1  6  3 0 |  0  0  0  0  0 0 0 0 3  6 1 | 0 0 0 0 3 2
... ... ..x ... ...     | 0  0 2 | *  *  *  *  * 6 | 0  0  0  0 0  0  0  0  3 2 | 0  0  0  0  0  0  0 0  0 0 0  3  6 1 |  0  0  0  0  0 0 0 0 1  6 3 | 0 0 0 0 2 3
------------------------+--------+-----------------+----------------------------+--------------------------------------+-----------------------------+------------
... ... ... o..3x..     | 3  0 0 | 3  0  0  0  0 0 | 4  *  *  * *  *  *  *  * * | 1  0  0  0  0  0  3 0  0 0 0  0  0 0 |  0  0  0  0  3 3 0 0 0  0 0 | 0 0 1 3 0 0
ox. ... ... ... ...&#x  | 1  2 0 | 0  2  1  0  0 0 | * 36  *  * *  *  *  *  * * | 0  1  2  2  0  0  0 0  0 0 0  0  0 0 |  2  2  1  2  1 0 0 0 0  0 0 | 1 2 1 1 0 0
... ... ox. ... ...&#x  | 1  2 0 | 0  2  0  1  0 0 | *  * 36  * *  *  *  *  * * | 0  0  2  0  1  1  0 0  0 0 0  0  0 0 |  1  0  2  2  0 1 0 0 0  0 0 | 1 1 0 2 0 0
... ... ... ... xo.&#x  | 2  1 0 | 1  2  0  0  0 0 | *  *  * 36 *  *  *  *  * * | 0  0  0  2  0  1  1 0  0 0 0  0  0 0 |  0  1  0  2  2 1 0 0 0  0 0 | 0 1 1 2 0 0
.x.3.o. ... ... ...     | 0  3 0 | 0  0  3  0  0 0 | *  *  *  * 4  *  *  *  * * | 0  3  0  0  0  0  0 3  0 0 1  0  0 0 |  6  3  0  0  0 0 3 0 3  0 0 | 3 3 1 0 3 0
.x. ... .x. ... ...     | 0  4 0 | 0  0  2  2  0 0 | *  *  *  * * 18  *  *  * * | 0  0  2  0  0  0  0 1  2 0 0  1  0 0 |  2  0  2  1  0 0 2 1 1  2 0 | 2 1 0 1 2 1
... ... .x.3.o. ...     | 0  3 0 | 0  0  0  3  0 0 | *  *  *  * *  * 12  *  * * | 0  0  0  0  1  0  0 0  2 1 0  0  1 0 |  0  0  2  0  0 1 1 2 0  2 1 | 1 0 0 2 1 2
.xo ... ... ... ...&#x  | 0  2 1 | 0  0  1  0  2 0 | *  *  *  * *  *  * 12  * * | 0  0  0  0  0  0  0 0  0 0 1  3  0 0 |  0  0  0  0  0 0 0 0 3  3 0 | 0 0 0 0 3 1
... ... .xx ... ...&#x  | 0  2 2 | 0  0  0  1  2 1 | *  *  *  * *  *  *  * 18 * | 0  0  0  0  0  0  0 0  0 0 0  2  2 0 |  0  0  0  0  0 0 0 0 1  4 1 | 0 0 0 0 2 2
... ... ..x3..o ...     | 0  0 3 | 0  0  0  0  0 3 | *  *  *  * *  *  *  *  * 4 | 0  0  0  0  0  0  0 0  0 0 0  0  3 1 |  0  0  0  0  0 0 0 0 0  3 3 | 0 0 0 0 1 3
------------------------+--------+-----------------+----------------------------+--------------------------------------+-----------------------------+------------
... ... o..3o..3x..      4  0 0 | 6  0  0  0  0 0 | 4  0  0  0 0  0  0  0  0 0 | 1  *  *  *  *  *  * *  * * *  *  * * |  0  0  0  0  0 3 0 0 0  0 0 | 0 0 0 3 0 0
ox.3oo. ... ... ...&#x   1  3 0 | 0  3  3  0  0 0 | 0  3  0  0 1  0  0  0  0 0 | * 12  *  *  *  *  * *  * * *  *  * * |  2  2  0  0  0 0 0 0 0  0 0 | 1 2 1 0 0 0
ox. ... ox. ... ...&#x   1  4 0 | 0  4  2  2  0 0 | 0  2  2  0 0  1  0  0  0 0 | *  * 36  *  *  *  * *  * * *  *  * * |  1  0  1  1  0 0 0 0 0  0 0 | 1 1 0 1 0 0
ox. ... ... ... xo.&#x   2  2 0 | 1  4  1  0  0 0 | 0  2  0  2 0  0  0  0  0 0 | *  *  * 36  *  *  * *  * * *  *  * * |  0  1  0  1  1 0 0 0 0  0 0 | 0 1 1 1 0 0
... ... ox.3oo. ...&#x   1  3 0 | 0  3  0  3  0 0 | 0  0  3  0 0  0  1  0  0 0 | *  *  *  * 12  *  * *  * * *  *  * * |  0  0  2  0  0 1 0 0 0  0 0 | 1 0 0 2 0 0
... ... ox. ... xo.&#x   2  2 0 | 1  4  0  1  0 0 | 0  0  2  2 0  0  0  0  0 0 | *  *  *  *  * 18  * *  * * *  *  * * |  0  0  0  2  0 1 0 0 0  0 0 | 0 1 0 2 0 0
... ... ... oo.3xo.&#x   3  1 0 | 3  3  0  0  0 0 | 1  0  0  3 0  0  0  0  0 0 | *  *  *  *  *  * 12 *  * * *  *  * * |  0  0  0  0  2 1 0 0 0  0 0 | 0 0 1 2 0 0
.x.3.o. .x. ... ...      0  6 0 | 0  0  6  3  0 0 | 0  0  0  0 2  3  0  0  0 0 | *  *  *  *  *  *  * 6  * * *  *  * * |  2  0  0  0  0 0 2 0 1  0 0 | 2 1 0 0 2 0
.x. ... .x.3.o. ...      0  6 0 | 0  0  3  6  0 0 | 0  0  0  0 0  3  2  0  0 0 | *  *  *  *  *  *  * * 12 * *  *  * * |  0  0  1  0  0 0 1 1 0  1 0 | 1 0 0 1 1 1
... ... .x.3.o.3.o.      0  4 0 | 0  0  0  6  0 0 | 0  0  0  0 0  0  4  0  0 0 | *  *  *  *  *  *  * *  * 3 *  *  * * |  0  0  0  0  0 1 0 2 0  0 1 | 0 0 0 2 0 2
.xo3.oo ... ... ...&#x   0  3 1 | 0  0  3  0  3 0 | 0  0  0  0 1  0  0  3  0 0 | *  *  *  *  *  *  * *  * * 4  *  * * |  0  0  0  0  0 0 0 0 3  0 0 | 0 0 0 0 3 0
.xo ... .xx ... ...&#x   0  4 2 | 0  0  2  2  4 1 | 0  0  0  0 0  1  0  2  2 0 | *  *  *  *  *  *  * *  * * * 18  * * |  0  0  0  0  0 0 0 0 1  2 0 | 0 0 0 0 2 1
... ... .xx3.oo ...&#x   0  3 3 | 0  0  0  3  3 3 | 0  0  0  0 0  0  1  0  3 1 | *  *  *  *  *  *  * *  * * *  * 12 * |  0  0  0  0  0 0 0 0 0  2 1 | 0 0 0 0 1 2
... ... ..x3..o3..o      0  0 4 | 0  0  0  0  0 6 | 0  0  0  0 0  0  0  0  0 4 | *  *  *  *  *  *  * *  * * *  *  * 1 |  0  0  0  0  0 0 0 0 0  0 3 | 0 0 0 0 0 3
------------------------+--------+-----------------+----------------------------+--------------------------------------+-----------------------------+------------
ox.3oo. ox. ... ...&#x   1  6 0 | 0  6  6  3  0 0 | 0  6  3  0 2  3  0  0  0 0 | 0  2  3  0  0  0  0 1  0 0 0  0  0 0 | 12  *  *  *  * * * * *  * * | 1 1 0 0 0 0
ox.3oo. ... ... xo.&#x   2  3 0 | 1  6  3  0  0 0 | 0  6  0  3 1  0  0  0  0 0 | 0  2  0  3  0  0  0 0  0 0 0  0  0 0 |  * 12  *  *  * * * * *  * * | 0 1 1 0 0 0
ox. ... ox.3oo. ...&#x   1  6 0 | 0  6  3  6  0 0 | 0  3  6  0 0  3  2  0  0 0 | 0  0  3  0  2  0  0 0  1 0 0  0  0 0 |  *  * 12  *  * * * * *  * * | 1 0 0 1 0 0
ox. ... ox. ... xo.&#x   2  4 0 | 1  8  2  2  0 0 | 0  4  4  4 0  1  0  0  0 0 | 0  0  2  2  0  2  0 0  0 0 0  0  0 0 |  *  *  * 18  * * * * *  * * | 0 1 0 1 0 0
ox. ... ... oo.3xo.&#x   3  2 0 | 3  6  1  0  0 0 | 1  3  0  6 0  0  0  0  0 0 | 0  0  0  3  0  0  2 0  0 0 0  0  0 0 |  *  *  *  * 12 * * * *  * * | 0 0 1 1 0 0
... ... ox.3oo.3xo.&#x   4  4 0 | 6 12  0  6  0 0 | 4  0 12 12 0  0  4  0  0 0 | 1  0  0  0  4  6  4 0  0 1 0  0  0 0 |  *  *  *  *  * 3 * * *  * * | 0 0 0 2 0 0
.x.3.o. .x.3.o. ...      0  9 0 | 0  0  9  9  0 0 | 0  0  0  0 3  9  3  0  0 0 | 0  0  0  0  0  0  0 3  3 0 0  0  0 0 |  *  *  *  *  * * 4 * *  * * | 1 0 0 0 1 0
.x. ... .x.3.o.3.o.      0  8 0 | 0  0  4 12  0 0 | 0  0  0  0 0  6  8  0  0 0 | 0  0  0  0  0  0  0 0  4 2 0  0  0 0 |  *  *  *  *  * * * 3 *  * * | 0 0 0 1 0 1
.xo3.oo .xx ... ...&#x   0  6 2 | 0  0  6  3  6 1 | 0  0  0  0 2  3  0  6  3 0 | 0  0  0  0  0  0  0 1  0 0 2  3  0 0 |  *  *  *  *  * * * * 6  * * | 0 0 0 0 2 0
.xo ... .xx3.oo ...&#x   0  6 3 | 0  0  3  6  6 3 | 0  0  0  0 0  3  2  3  6 1 | 0  0  0  0  0  0  0 0  1 0 0  3  2 0 |  *  *  *  *  * * * * * 12 * | 0 0 0 0 1 1
... ... .xx3.oo3.oo&#x   0  4 4 | 0  0  0  6  4 6 | 0  0  0  0 0  0  4  0  6 4 | 0  0  0  0  0  0  0 0  0 1 0  0  4 1 |  *  *  *  *  * * * * *  * 3 | 0 0 0 0 0 2
------------------------+--------+-----------------+----------------------------+--------------------------------------+-----------------------------+------------
ox.3oo. ox.3oo. ...&#x   1  9 0 | 0  9  9  9  0 0 | 0  9  9  0 3  9  3  0  0 0 | 0  3  9  0  3  0  0 3  3 0 0  0  0 0 |  3  0  3  0  0 0 1 0 0  0 0 | 4 * * * * *
ox.3oo. ox. ... xo.&#x   2  6 0 | 1 12  6  3  0 0 | 0 12  6  6 2  3  0  0  0 0 | 0  4  6  6  0  3  0 1  0 0 0  0  0 0 |  2  2  0  3  0 0 0 0 0  0 0 | * 6 * * * *
ox.3oo. ... oo.3xo.&#x   3  3 0 | 3  9  3  0  0 0 | 1  9  0  9 1  0  0  0  0 0 | 0  3  0  9  0  0  3 0  0 0 0  0  0 0 |  0  3  0  0  3 0 0 0 0  0 0 | * * 4 * * *
ox. ... ox.3oo.3xo.&#x   4  8 0 | 6 24  4 12  0 0 | 4 12 24 24 0  6  8  0  0 0 | 1  0 12 12  8 12  8 0  4 2 0  0  0 0 |  0  0  4  6  4 2 0 1 0  0 0 | * * * 3 * *
.xo3.oo .xx3.oo ...&#x   0  9 3 | 0  0  9  9  9 3 | 0  0  0  0 3  9  3  9  9 1 | 0  0  0  0  0  0  0 3  3 0 3  9  3 0 |  0  0  0  0  0 0 1 0 3  3 0 | * * * * 4 *
.xo ... .xx3.oo3.oo&#x   0  8 4 | 0  0  4 12  8 6 | 0  0  0  0 0  6  8  4 12 4 | 0  0  0  0  0  0  0 0  4 2 0  6  8 1 |  0  0  0  0  0 0 0 1 0  4 2 | * * * * * 3

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