Acronym trial triddip
Name {3} atop gyrated triddip,
{3}-first cap of rix
Circumradius sqrt(2/3) = 0.816497
Confer
uniform relative:
rix  
variations:
spil-verf  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xo3ox ox3oo&#x   → height = 1/sqrt(3) = 0.577350
({3} || gyro triddip)

o.3o. o.3o.    | 3 * | 2  6 0 0 | 1 6 3  6 0 0 0 | 3 6 3 2 0 0 | 3 2 1 0
.o3.o .o3.o    | * 9 | 0  2 2 2 | 0 1 2  4 1 4 1 | 1 2 4 2 2 2 | 2 1 2 1
---------------+-----+----------+----------------+-------------+--------
x. .. .. ..    | 2 0 | 3  * * * | 1 3 0  0 0 0 0 | 3 3 0 0 0 0 | 3 1 0 0
oo3oo oo3oo&#x | 1 1 | * 18 * * | 0 1 1  2 0 0 0 | 1 2 2 1 0 0 | 2 1 1 0
.. .x .. ..    | 0 2 | *  * 9 * | 0 0 1  0 1 2 0 | 1 0 2 0 2 1 | 2 0 1 1
.. .. .x ..    | 0 2 | *  * * 9 | 0 0 0  2 0 2 1 | 0 1 2 2 1 2 | 1 1 2 1
---------------+-----+----------+----------------+-------------+--------
x.3o. .. ..    | 3 0 | 3  0 0 0 | 1 * *  * * * * | 3 0 0 0 0 0 | 3 0 0 0
xo .. .. ..&#x | 2 1 | 1  2 0 0 | * 9 *  * * * * | 1 2 0 0 0 0 | 2 1 0 0
.. ox .. ..&#x | 1 2 | 0  2 1 0 | * * 9  * * * * | 1 0 2 0 0 0 | 2 0 1 0
.. .. ox ..&#x | 1 2 | 0  2 0 1 | * * * 18 * * * | 0 1 1 1 0 0 | 1 1 1 0
.o3.x .. ..    | 0 3 | 0  0 3 0 | * * *  * 3 * * | 1 0 0 0 2 0 | 2 0 0 1
.. .x .x ..    | 0 4 | 0  0 2 2 | * * *  * * 9 * | 0 0 1 0 1 1 | 1 0 1 1
.. .. .x3.o    | 0 3 | 0  0 0 3 | * * *  * * * 3 | 0 0 0 2 0 2 | 0 1 2 1
---------------+-----+----------+----------------+-------------+--------
xo3ox .. ..&#x  3 3 | 3  6 3 0 | 1 3 3  0 1 0 0 | 3 * * * * * | 2 0 0 0
xo .. ox ..&#x  2 2 | 1  4 0 1 | 0 2 0  2 0 0 0 | * 9 * * * * | 1 1 0 0
.. ox ox ..&#x  1 4 | 0  4 2 2 | 0 0 2  2 0 1 0 | * * 9 * * * | 1 0 1 0
.. .. ox3oo&#x  1 3 | 0  3 0 3 | 0 0 0  3 0 0 1 | * * * 6 * * | 0 1 1 0
.o3.x .x ..     0 6 | 0  0 6 3 | 0 0 0  0 2 3 0 | * * * * 3 * | 1 0 0 1
.. .x .x3.o     0 6 | 0  0 3 6 | 0 0 0  0 0 3 2 | * * * * * 3 | 0 0 1 1
---------------+-----+----------+----------------+-------------+--------
xo3ox ox ..&#x  3 6 | 3 12 6 3 | 1 6 6  6 2 3 0 | 2 3 3 0 1 0 | 3 * * *
xo .. ox3oo&#x  2 3 | 1  6 0 3 | 0 3 0  6 0 0 1 | 0 3 0 2 0 0 | * 3 * *
.. ox ox3oo&#x  1 6 | 0  6 3 6 | 0 0 3  6 0 3 2 | 0 0 3 2 0 1 | * * 3 *
.o3.x .x3.o     0 9 | 0  0 9 9 | 0 0 0  0 3 9 3 | 0 0 0 0 3 3 | * * * 1

xoo xox3oxo&#x   → height(1,2) = height(1,3) = 1/sqrt(3) = 0.577350
                   height(2,3) = sqrt(2/3) = 0.816497

o.. o..3o..    | 6 * * | 1 2  1 2 0 0 0 | 2 1 2 2 1 1 2  2 0 0 0 0 | 1 2 1 1 2 1 2 2 1 0 | 1 1 2 1 1
.o. .o.3.o.    | * 3 * | 0 0  4 0 2 2 0 | 0 0 2 2 4 0 0  4 1 1 2 0 | 0 1 2 2 0 0 2 2 4 1 | 1 0 1 2 2
..o ..o3..o    | * * 3 | 0 0  0 2 0 2 2 | 0 0 0 0 0 1 4  4 0 2 1 1 | 0 0 0 0 2 2 2 4 2 1 | 0 1 2 1 2
---------------+-------+----------------+--------------------------+---------------------+----------
x.. ... ...    | 2 0 0 | 3 *  * * * * * | 2 0 2 0 0 1 0  0 0 0 0 0 | 1 2 1 0 2 0 2 0 0 0 | 1 1 2 1 0
... x.. ...    | 2 0 0 | * 6  * * * * * | 1 1 0 1 0 0 1  0 0 0 0 0 | 1 1 0 1 1 1 0 1 0 0 | 1 1 1 0 1
oo. oo.3oo.&#x | 1 1 0 | * * 12 * * * * | 0 0 1 1 1 0 0  1 0 0 0 0 | 0 1 1 1 0 0 1 1 1 0 | 1 0 1 1 1
o.o o.o3o.o&#x | 1 0 1 | * *  * 6 * * * | 0 0 0 0 0 1 2  2 0 0 0 0 | 0 0 0 0 2 1 2 2 1 0 | 0 1 2 1 1
... ... .x.    | 0 2 0 | * *  * * 3 * * | 0 0 0 0 2 0 0  0 1 0 1 0 | 0 0 1 2 0 0 0 0 2 1 | 1 0 0 1 2
.oo .oo3.oo&#x | 0 1 1 | * *  * * * 6 * | 0 0 0 0 0 0 0  2 0 1 1 0 | 0 0 0 0 0 0 1 2 2 1 | 0 0 1 1 2
... ..x ...    | 0 0 2 | * *  * * * * 3 | 0 0 0 0 0 0 2  0 0 1 0 1 | 0 0 0 0 1 2 0 2 0 1 | 0 1 1 0 2
---------------+-------+----------------+--------------------------+---------------------+----------
x.. x.. ...    | 4 0 0 | 2 2  0 0 0 0 0 | 3 * * * * * *  * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
... x..3o..    | 3 0 0 | 0 3  0 0 0 0 0 | * 2 * * * * *  * * * * * | 1 0 0 1 0 1 0 0 0 0 | 1 1 0 0 1
xo. ... ...&#x | 2 1 0 | 1 0  2 0 0 0 0 | * * 6 * * * *  * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
... xo. ...&#x | 2 1 0 | 0 1  2 0 0 0 0 | * * * 6 * * *  * * * * * | 0 1 0 1 0 0 0 1 0 0 | 1 0 1 0 1
... ... ox.&#x | 1 2 0 | 0 0  2 0 1 0 0 | * * * * 6 * *  * * * * * | 0 0 1 1 0 0 0 0 1 0 | 1 0 0 1 1
x.o ... ...&#x | 2 0 1 | 1 0  0 2 0 0 0 | * * * * * 3 *  * * * * * | 0 0 0 0 2 0 2 0 0 0 | 0 1 2 1 0
... x.x ...&#x | 2 0 2 | 0 1  0 2 0 0 1 | * * * * * * 6  * * * * * | 0 0 0 0 1 1 0 1 0 0 | 0 1 1 0 1
ooo ooo3ooo&#x | 1 1 1 | 0 0  1 1 0 1 0 | * * * * * * * 12 * * * * | 0 0 0 0 0 0 1 1 1 0 | 0 0 1 1 1
... .o.3.x.    | 0 3 0 | 0 0  0 0 3 0 0 | * * * * * * *  * 1 * * * | 0 0 0 2 0 0 0 0 0 1 | 1 0 0 0 2
... .ox ...&#x | 0 1 2 | 0 0  0 0 0 2 1 | * * * * * * *  * * 3 * * | 0 0 0 0 0 0 0 2 0 1 | 0 0 1 0 2
... ... .xo&#x | 0 2 1 | 0 0  0 0 1 2 0 | * * * * * * *  * * * 3 * | 0 0 0 0 0 0 0 0 2 1 | 0 0 0 1 2
... ..x3..o    | 0 0 3 | 0 0  0 0 0 0 3 | * * * * * * *  * * * * 1 | 0 0 0 0 0 2 0 0 0 1 | 0 1 0 0 2
---------------+-------+----------------+--------------------------+---------------------+----------
x.. x..3o..     6 0 0 | 3 6  0 0 0 0 0 | 3 2 0 0 0 0 0  0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
xo. xo. ...&#x  4 1 0 | 2 2  4 0 0 0 0 | 1 0 2 2 0 0 0  0 0 0 0 0 | * 3 * * * * * * * * | 1 0 1 0 0
xo. ... ox.&#x  2 2 0 | 1 0  4 0 1 0 0 | 0 0 2 0 2 0 0  0 0 0 0 0 | * * 3 * * * * * * * | 1 0 0 1 0
... xo.3ox.&#x  3 3 0 | 0 3  6 0 3 0 0 | 0 1 0 3 3 0 0  0 1 0 0 0 | * * * 2 * * * * * * | 1 0 0 0 1
x.o x.x ...&#x  4 0 2 | 2 2  0 4 0 0 1 | 1 0 0 0 0 2 2  0 0 0 0 0 | * * * * 3 * * * * * | 0 1 1 0 0
... x.x3o.o&#x  3 0 3 | 0 3  0 3 0 0 3 | 0 1 0 0 0 0 3  0 0 0 0 1 | * * * * * 2 * * * * | 0 1 0 0 1
xoo ... ...&#x  2 1 1 | 1 0  2 2 0 1 0 | 0 0 1 0 0 1 0  2 0 0 0 0 | * * * * * * 6 * * * | 0 0 1 1 0
... xox ...&#x  2 1 2 | 0 1  2 2 0 2 1 | 0 0 0 1 0 0 1  2 0 1 0 0 | * * * * * * * 6 * * | 0 0 1 0 1
... ... oxo&#x  1 2 1 | 0 0  2 1 1 2 0 | 0 0 0 0 1 0 0  2 0 0 1 0 | * * * * * * * * 6 * | 0 0 0 1 1
... .ox3.xo&#x  0 3 3 | 0 0  0 0 3 6 3 | 0 0 0 0 0 0 0  0 1 3 3 1 | * * * * * * * * * 1 | 0 0 0 0 2
---------------+-------+----------------+--------------------------+---------------------+----------
xo. xo.3ox.&#x  6 3 0 | 3 6 12 0 3 0 0 | 3 2 6 6 6 0 0  0 1 0 0 0 | 1 3 3 2 0 0 0 0 0 0 | 1 * * * *
x.o x.x3o.o&#x  6 0 3 | 3 6  0 6 0 0 3 | 3 2 0 0 0 3 6  0 0 0 0 1 | 1 0 0 0 3 2 0 0 0 0 | * 1 * * *
xoo xox ...&#x  4 1 2 | 2 2  4 4 0 2 1 | 1 0 2 2 0 2 2  4 0 1 0 0 | 0 1 0 0 1 0 2 2 0 0 | * * 3 * *
xoo ... oxo&#x  2 2 1 | 1 0  4 2 1 2 0 | 0 0 2 0 2 1 0  4 0 0 1 0 | 0 0 1 0 0 0 2 0 2 0 | * * * 3 *
... xox3oxo&#x  3 3 3 | 0 3  6 3 3 6 3 | 0 1 0 3 3 0 3  6 1 3 3 1 | 0 0 0 1 0 1 0 3 3 1 | * * * * 2

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