Acronym tisdip altratet
Name tisdip atop gyrated tratet
Circumradius sqrt(6/7) = 0.925820
Lace city
in approx. ASCII-art
       x x o3x       		-- tisdip
                    
                    
                    
o x x3o      x o x3o		-- tratet

                  \
                   +-- traffip
Face vector 24, 102, 173, 144, 62, 13
Confer
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

oxx xxo xox3oxo&#x   → height(1,2) = height(2,3) = sqrt(5/12) = 0.645497
                       height(1,3) = 1/sqrt(2) = 0.707107
                       height(2,13) = sqrt(7/24) = 0.540062
(tisdip || gyro tratet)

o.. o.. o..3o..    & | 12  * | 1  2  4  2  0  0 | 2 1  2  4  4  2  4  3  4 0  0 0 | 1  2  2  1  4  2 2  6  4  2 1  6 2 0 0 | 2 1 1 2 2  6  3 2 2 3 0 | 1 2 1 3 1
.o. .o. .o.3.o.      |  * 12 | 0  0  4  0  2  2 | 0 0  4  4  2  4  2  0  0 1  4 1 | 0  4  2  4  2  4 2  4  1  2 0  0 0 2 2 | 2 4 2 2 2  2  4 1 0 0 1 | 2 1 2 2 0
---------------------+-------+------------------+---------------------------------+----------------------------------------+-------------------------+----------
... x.. ... ...    & |  2  0 | 6  *  *  *  *  * | 2 0  0  4  0  0  0  2  0 0  0 0 | 1  2  0  0  4  2 0  4  0  0 1  4 0 0 0 | 2 1 0 2 2  4  2 0 2 2 0 | 1 2 1 2 1
... ... x.. ...    & |  2  0 | * 12  *  *  *  * | 1 1  0  0  2  0  0  0  2 0  0 0 | 1  0  1  0  2  0 2  0  2  0 0  3 2 0 0 | 1 0 1 2 0  3  0 2 1 3 0 | 1 1 0 3 1
oo. oo. oo.3oo.&#x & |  1  1 | *  * 48  *  *  * | 0 0  1  1  1  1  1  0  0 0  0 0 | 0  1  1  1  1  1 1  2  1  1 0  0 0 0 0 | 1 1 1 1 1  2  2 1 0 0 0 | 1 1 1 2 0
o.o o.o o.o3o.o&#x   |  2  0 | *  *  * 12  *  * | 0 0  0  0  0  0  2  2  2 0  0 0 | 0  0  0  0  0  0 0  4  2  1 1  4 1 0 0 | 0 0 0 0 2  4  2 1 2 2 0 | 0 2 1 2 1
.x. ... ... ...    & |  0  2 | *  *  *  * 12  * | 0 0  2  2  0  0  0  0  0 1  2 0 | 0  4  1  2  1  2 0  2  0  0 0  0 0 2 1 | 2 4 1 1 2  1  2 0 0 0 1 | 2 1 2 1 0
... ... ... .x.      |  0  2 | *  *  *  *  * 12 | 0 0  0  0  0  2  0  0  0 0  2 1 | 0  0  0  2  0  2 2  0  0  1 0  0 0 1 2 | 0 2 2 2 0  0  2 1 0 0 1 | 2 0 1 2 0
---------------------+-------+------------------+---------------------------------+----------------------------------------+-------------------------+----------
... x.. x.. ...    & |  4  0 | 2  2  0  0  0  0 | 6 *  *  *  *  *  *  *  * *  * * | 1  0  0  0  2  0 0  0  0  0 0  2 0 0 0 | 1 0 0 2 0  2  0 0 1 2 0 | 1 1 0 2 1
... ... x..3o..    & |  3  0 | 0  3  0  0  0  0 | * 4  *  *  *  *  *  *  * *  * * | 1  0  0  0  0  0 2  0  0  0 0  0 2 0 0 | 0 0 1 2 0  0  0 2 0 3 0 | 1 0 0 3 1
ox. ... ... ...&#x & |  1  2 | 0  0  2  0  1  0 | * * 24  *  *  *  *  *  * *  * * | 0  1  1  1  0  0 0  1  0  0 0  0 0 0 0 | 1 1 1 0 1  1  1 0 0 0 0 | 1 1 1 1 0
... xx. ... ...&#x & |  2  2 | 1  0  2  0  1  0 | * *  * 24  *  *  *  *  * *  * * | 0  1  0  0  1  1 0  1  0  0 0  0 0 0 0 | 1 1 0 1 1  1  1 0 0 0 0 | 1 1 1 1 0
... ... xo. ...&#x & |  2  1 | 0  1  2  0  0  0 | * *  *  * 24  *  *  *  * *  * * | 0  0  1  0  1  0 1  0  1  0 0  0 0 0 0 | 1 0 1 1 0  2  0 1 0 0 0 | 1 1 0 2 0
... ... ... ox.&#x & |  1  2 | 0  0  2  0  0  1 | * *  *  *  * 24  *  *  * *  * * | 0  0  0  1  0  1 1  0  0  1 0  0 0 0 0 | 0 1 1 1 0  0  2 1 0 0 0 | 1 0 1 2 0
ooo ooo ooo3ooo&#x   |  2  1 | 0  0  2  1  0  0 | * *  *  *  *  * 24  *  * *  * * | 0  0  0  0  0  0 0  2  1  1 0  0 0 0 0 | 0 0 0 0 1  2  2 1 0 0 0 | 0 1 1 2 0
o.x ... ... ...&#x & |  3  0 | 1  0  0  2  0  0 | * *  *  *  *  *  * 12  * *  * * | 0  0  0  0  0  0 0  2  0  0 1  2 0 0 0 | 0 0 0 0 2  2  1 0 2 1 0 | 0 2 1 1 1
... ... x.x ...&#x   |  4  0 | 0  2  0  2  0  0 | * *  *  *  *  *  *  * 12 *  * * | 0  0  0  0  0  0 0  0  1  0 0  2 1 0 0 | 0 0 0 0 0  2  0 1 1 2 0 | 0 1 0 2 1
.x. .x. ... ...      |  0  4 | 0  0  0  0  4  0 | * *  *  *  *  *  *  *  * 3  * * | 0  4  0  0  0  0 0  0  0  0 0  0 0 2 0 | 2 4 0 0 2  0  0 0 0 0 1 | 2 1 2 0 0
.x. ... ... .x.    & |  0  4 | 0  0  0  0  2  2 | * *  *  *  *  *  *  *  * * 12 * | 0  0  0  1  0  1 0  0  0  0 0  0 0 1 1 | 0 2 1 1 0  0  1 0 0 0 1 | 2 0 1 1 0
... ... .o.3.x.      |  0  3 | 0  0  0  0  0  3 | * *  *  *  *  *  *  *  * *  * 4 | 0  0  0  0  0  0 2  0  0  0 0  0 0 0 2 | 0 0 2 2 0  0  0 1 0 0 1 | 2 0 0 2 0
---------------------+-------+------------------+---------------------------------+----------------------------------------+-------------------------+----------
... x.. x..3o..    &   6  0 | 3  6  0  0  0  0 | 3 2  0  0  0  0  0  0  0 0  0 0 | 2  *  *  *  *  * *  *  *  * *  * * * * | 0 0 0 2 0  0  0 0 0 2 0 | 1 0 0 2 1
ox. xx. ... ...&#x &   2  4 | 1  0  4  0  4  0 | 0 0  2  2  0  0  0  0  0 1  0 0 | * 12  *  *  *  * *  *  *  * *  * * * * | 1 1 0 0 1  0  0 0 0 0 0 | 1 1 1 0 0
ox. ... xo. ...&#x &   2  2 | 0  1  4  0  1  0 | 0 0  2  0  2  0  0  0  0 0  0 0 | *  * 12  *  *  * *  *  *  * *  * * * * | 1 0 1 0 0  1  0 0 0 0 0 | 1 1 0 1 0
ox. ... ... ox.&#x &   1  4 | 0  0  4  0  2  2 | 0 0  2  0  0  2  0  0  0 0  1 0 | *  *  * 12  *  * *  *  *  * *  * * * * | 0 1 1 0 0  0  1 0 0 0 0 | 1 0 1 1 0
... xx. xo. ...&#x &   4  2 | 2  2  4  0  1  0 | 1 0  0  2  2  0  0  0  0 0  0 0 | *  *  *  * 12  * *  *  *  * *  * * * * | 1 0 0 1 0  1  0 0 0 0 0 | 1 1 0 1 0
... xx. ... ox.&#x &   2  4 | 1  0  4  0  2  2 | 0 0  0  2  0  2  0  0  0 0  1 0 | *  *  *  *  * 12 *  *  *  * *  * * * * | 0 1 0 1 0  0  1 0 0 0 0 | 1 0 1 1 0
... ... xo.3ox.&#x &   3  3 | 0  3  6  0  0  3 | 0 1  0  0  3  3  0  0  0 0  0 1 | *  *  *  *  *  * 8  *  *  * *  * * * * | 0 0 1 1 0  0  0 1 0 0 0 | 1 0 0 2 0 oct
oxx ... ... ...&#x &   3  2 | 1  0  4  2  1  0 | 0 0  1  1  0  0  2  1  0 0  0 0 | *  *  *  *  *  * * 24  *  * *  * * * * | 0 0 0 0 1  1  1 0 0 0 0 | 0 1 1 1 0
... ... xox ...&#x     4  1 | 0  2  4  2  0  0 | 0 0  0  0  2  0  2  0  1 0  0 0 | *  *  *  *  *  * *  * 12  * *  * * * * | 0 0 0 0 0  2  0 1 0 0 0 | 0 1 0 2 0
... ... ... oxo&#x     2  2 | 0  0  4  1  0  1 | 0 0  0  0  0  2  2  0  0 0  0 0 | *  *  *  *  *  * *  *  * 12 *  * * * * | 0 0 0 0 0  0  2 1 0 0 0 | 0 0 1 2 0
o.x x.o ... ...&#x     4  0 | 2  0  0  4  0  0 | 0 0  0  0  0  0  0  4  0 0  0 0 | *  *  *  *  *  * *  *  *  * 3  * * * * | 0 0 0 0 2  0  0 0 2 0 0 | 0 2 1 0 1
o.x ... x.x ...&#x &   6  0 | 2  3  0  4  0  0 | 1 0  0  0  0  0  0  2  2 0  0 0 | *  *  *  *  *  * *  *  *  * * 12 * * * | 0 0 0 0 0  1  0 0 1 1 0 | 0 1 0 1 1
... ... x.x3o.o&#x     6  0 | 0  6  0  3  0  0 | 0 2  0  0  0  0  0  0  3 0  0 0 | *  *  *  *  *  * *  *  *  * *  * 4 * * | 0 0 0 0 0  0  0 1 0 2 0 | 0 0 0 2 1
.x. .x. ... .x.        0  8 | 0  0  0  0  8  4 | 0 0  0  0  0  0  0  0  0 2  4 0 | *  *  *  *  *  * *  *  *  * *  * * 3 * | 0 2 0 0 0  0  0 0 0 0 1 | 2 0 1 0 0
.x. ... .o.3.x.    &   0  6 | 0  0  0  0  3  6 | 0 0  0  0  0  0  0  0  0 0  3 2 | *  *  *  *  *  * *  *  *  * *  * * * 4 | 0 0 1 1 0  0  0 0 0 0 1 | 2 0 0 1 0
---------------------+-------+------------------+---------------------------------+----------------------------------------+-------------------------+----------
ox. xx. xo. ...&#x &   4  4 | 2  2  8  0  4  0 | 1 0  4  4  4  0  0  0  0 1  0 0 | 0  2  2  0  2  0 0  0  0  0 0  0 0 0 0 | 6 * * * *  *  * * * * * | 1 1 0 0 0
ox. xx. ... ox.&#x &   2  8 | 1  0  8  0  8  4 | 0 0  4  4  0  4  0  0  0 2  4 0 | 0  2  0  2  0  2 0  0  0  0 0  0 0 1 0 | * 6 * * *  *  * * * * * | 1 0 1 0 0
ox. ... xo.3ox.&#x &   3  6 | 0  3 12  0  3  6 | 0 1  6  0  6  6  0  0  0 0  3 2 | 0  0  3  3  0  0 2  0  0  0 0  0 0 0 1 | * * 4 * *  *  * * * * * | 1 0 0 1 0
... xx. xo.3ox.&#x &   6  6 | 3  6 12  0  3  6 | 3 2  0  6  6  6  0  0  0 0  3 2 | 1  0  0  0  3  3 2  0  0  0 0  0 0 0 1 | * * * 4 *  *  * * * * * | 1 0 0 1 0
oxx xxo ... ...&#x     4  4 | 2  0  8  4  4  0 | 0 0  4  4  0  0  4  4  0 1  0 0 | 0  2  0  0  0  0 0  4  0  0 1  0 0 0 0 | * * * * 6  *  * * * * * | 0 1 1 0 0
oxx ... xox ...&#x &   6  2 | 2  3  8  4  1  0 | 1 0  2  2  4  0  4  2  2 0  0 0 | 0  0  1  0  1  0 0  2  2  0 0  1 0 0 0 | * * * * * 12  * * * * * | 0 1 0 1 0
oxx ... ... oxo&#x &   3  4 | 1  0  8  2  2  2 | 0 0  2  2  0  4  4  1  0 0  1 0 | 0  0  0  1  0  1 0  2  0  2 0  0 0 0 0 | * * * * *  * 12 * * * * | 0 0 1 1 0
... ... xox3oxo&#x     6  3 | 0  6 12  3  0  3 | 0 2  0  0  6  6  6  0  3 0  0 1 | 0  0  0  0  0  0 2  0  3  3 0  0 1 0 0 | * * * * *  *  * 4 * * * | 0 0 0 2 0
o.x x.o x.x ...&#x     8  0 | 4  4  0  8  0  0 | 2 0  0  0  0  0  0  8  4 0  0 0 | 0  0  0  0  0  0 0  0  0  0 2  4 0 0 0 | * * * * *  *  * * 3 * * | 0 1 0 0 1
o.x ... x.x3o.o&#x &   9  0 | 3  9  0  6  0  0 | 3 3  0  0  0  0  0  3  6 0  0 0 | 1  0  0  0  0  0 0  0  0  0 0  3 2 0 0 | * * * * *  *  * * * 4 * | 0 0 0 1 1
.x. .x. .o.3.x.        0 12 | 0  0  0  0 12 12 | 0 0  0  0  0  0  0  0  0 3 12 4 | 0  0  0  0  0  0 0  0  0  0 0  0 0 3 4 | * * * * *  *  * * * * 1 | 2 0 0 0 0
---------------------+-------+------------------+---------------------------------+----------------------------------------+-------------------------+----------
ox. xx. xo.3ox.&#x &   6 12 | 3  6 24  0 12 12 | 3 2 12 12 12 12  0  0  0 3 12 4 | 1  6  6  6  6  6 4  0  0  0 0  0 0 3 4 | 3 3 2 2 0  0  0 0 0 0 1 | 2 * * * *
oxx xxo xox ...&#x     8  4 | 4  4 16  8  4  0 | 2 0  8  8  8  0  8  8  4 1  0 0 | 0  4  4  0  4  0 0  8  4  0 2  4 0 0 0 | 2 0 0 0 2  4  0 0 1 0 0 | * 3 * * *
oxx xxo ... oxo&#x     4  8 | 2  0 16  4  8  4 | 0 0  8  8  0  8  8  4  0 2  4 0 | 0  4  0  4  0  4 0  8  0  4 1  0 0 1 0 | 0 2 0 0 2  0  4 0 0 0 0 | * * 3 * *
oxx ... xox3oxo&#x &   9  6 | 3  9 24  6  3  6 | 3 3  6  6 12 12 12  3  6 0  3 2 | 1  0  3  3  3  3 4  6  6  6 0  3 2 0 1 | 0 0 1 1 0  3  3 2 0 1 0 | * * * 4 *
o.x x.o x.x3o.o&#x    12  0 | 6 12  0 12  0  0 | 6 4  0  0  0  0  0 12 12 0  0 0 | 2  0  0  0  0  0 0  0  0  0 3 12 4 0 0 | 0 0 0 0 0  0  0 0 3 4 0 | * * * * 1

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