Acronym tisquippy
Name triangle-squippy douprism,
half of troct,
(triangle,trip,trip)-trigonic
Circumradius sqrt(5/6) = 0.912871
Lace city
in approx. ASCII-art
    o o3x    
             
             
             
x o3x   x o3x
Confer
uniform relative:
troct  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

ox ox oo3xx&#x   → height = 1/sqrt(2) = 0.707107
({3} || tisdip)

o. o. o.3o.    | 3  * | 2  4 0 0  0 | 1 2 2  8 0 0 0 0 | 1 4 4 4 0 0 0 | 2 2 2 0
.o .o .o3.o    | * 12 | 0  1 1 1  2 | 0 1 1  2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1
---------------+------+-------------+------------------+---------------+--------
.. .. .. x.    | 2  0 | 3  * * *  * | 1 0 0  4 0 0 0 0 | 0 2 2 4 0 0 0 | 1 2 2 0
oo oo oo3oo&#x | 1  1 | * 12 * *  * | 0 1 1  2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.x .. .. ..    | 0  2 | *  * 6 *  * | 0 1 0  0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
.. .x .. ..    | 0  2 | *  * * 6  * | 0 0 1  0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1
.. .. .. .x    | 0  2 | *  * * * 12 | 0 0 0  1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
---------------+------+-------------+------------------+---------------+--------
.. .. o.3x.    | 3  0 | 3  0 0 0  0 | 1 * *  * * * * * | 0 0 0 4 0 0 0 | 0 2 2 0
ox .. .. ..&#x | 1  2 | 0  2 1 0  0 | * 6 *  * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
.. ox .. ..&#x | 1  2 | 0  2 0 1  0 | * * 6  * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
.. .. .. xx&#x | 2  2 | 1  2 0 0  1 | * * * 12 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.x .x .. ..    | 0  4 | 0  0 2 2  0 | * * *  * 3 * * * | 1 0 0 0 2 0 0 | 2 0 0 1
.x .. .. .x    | 0  4 | 0  0 2 0  2 | * * *  * * 6 * * | 0 1 0 0 1 1 0 | 1 1 0 1
.. .x .. .x    | 0  4 | 0  0 0 2  2 | * * *  * * * 6 * | 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .o3.x    | 0  3 | 0  0 0 0  3 | * * *  * * * * 4 | 0 0 0 1 0 1 1 | 0 1 1 1
---------------+------+-------------+------------------+---------------+--------
ox ox .. ..&#x  1  4 | 0  4 2 2  0 | 0 2 2  0 1 0 0 0 | 3 * * * * * * | 2 0 0 0
ox .. .. xx&#x  2  4 | 1  4 2 0  2 | 0 2 0  2 0 1 0 0 | * 6 * * * * * | 1 1 0 0
.. ox .. xx&#x  2  4 | 1  4 0 2  2 | 0 0 2  2 0 0 1 0 | * * 6 * * * * | 1 0 1 0
.. .. oo3xx&#x  3  3 | 3  3 0 0  3 | 1 0 0  3 0 0 0 1 | * * * 4 * * * | 0 1 1 0
.x .x .. .x     0  8 | 0  0 4 4  4 | 0 0 0  0 2 2 2 0 | * * * * 3 * * | 1 0 0 1
.x .. .o3.x     0  6 | 0  0 3 0  6 | 0 0 0  0 0 3 0 2 | * * * * * 2 * | 0 1 0 1
.. .x .o3.x     0  6 | 0  0 0 3  6 | 0 0 0  0 0 0 3 2 | * * * * * * 2 | 0 0 1 1
---------------+------+-------------+------------------+---------------+--------
ox ox .. xx&#x  2  8 | 1  8 4 4  4 | 0 4 4  4 2 2 2 0 | 2 2 2 0 1 0 0 | 3 * * *
ox .. oo3xx&#x  3  6 | 3  6 3 0  6 | 1 3 0  6 0 3 0 2 | 0 3 0 2 0 1 0 | * 2 * *
.. ox oo3xx&#x  3  6 | 3  6 0 3  6 | 1 0 3  6 0 0 3 2 | 0 0 3 2 0 0 1 | * * 2 *
.x .x .o3.x     0 12 | 0  0 6 6 12 | 0 0 0  0 3 6 6 4 | 0 0 0 0 3 2 2 | * * * 1

oxx ooo3xxx&#x   → height(1,2) = height(1,3) = sqrt(3)/2 = 0.866025
                   height(2,3) = 1
                   height(1,23) = 1/sqrt(2) = 0.707107
                   height(12,3) = height(13,2) = sqrt(2/3) = 0.816497

o.. o..3o..    | 3 * * | 2 2 2 0 0 0 0 0 | 1 1 4 2 1 4 0 0 0 0 0 0 | 2 2 1 4 2 2 0 0 0 0 | 1 2 2 1 0
.o. .o.3.o.    | * 6 * | 0 1 0 1 2 1 0 0 | 0 1 2 1 0 0 2 1 1 2 0 0 | 2 1 1 2 0 0 1 2 1 0 | 1 2 1 0 1
..o ..o3..o    | * * 6 | 0 0 1 0 0 1 1 2 | 0 0 0 1 1 2 0 0 1 2 2 1 | 0 0 1 2 2 1 0 2 1 1 | 0 2 1 1 1
---------------+-------+-----------------+-------------------------+---------------------+----------
... ... x..    | 2 0 0 | 3 * * * * * * * | 1 0 2 0 0 2 0 0 0 0 0 0 | 1 2 0 2 1 2 0 0 0 0 | 1 1 2 1 0
oo. oo.3oo.&#x | 1 1 0 | * 6 * * * * * * | 0 1 2 1 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 | 1 2 1 0 0
o.o o.o3o.o&#x | 1 0 1 | * * 6 * * * * * | 0 0 0 1 1 2 0 0 0 0 0 0 | 0 0 1 2 2 1 0 0 0 0 | 0 2 1 1 0
.x. ... ...    | 0 2 0 | * * * 3 * * * * | 0 1 0 0 0 0 2 0 1 0 0 0 | 2 0 1 0 0 0 1 2 0 0 | 1 2 0 0 1
... ... .x.    | 0 2 0 | * * * * 6 * * * | 0 0 1 0 0 0 1 1 0 1 0 0 | 1 1 0 1 0 0 1 1 1 0 | 1 1 1 0 1
.oo .oo3.oo&#x | 0 1 1 | * * * * * 6 * * | 0 0 0 1 0 0 0 0 1 2 0 0 | 0 0 1 2 0 0 0 2 1 0 | 0 2 1 0 1
..x ... ...    | 0 0 2 | * * * * * * 3 * | 0 0 0 0 1 0 0 0 1 0 2 0 | 0 0 1 0 2 0 0 2 0 1 | 0 2 0 1 1
... ... ...x   | 0 0 2 | * * * * * * * 6 | 0 0 0 0 0 1 0 0 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
---------------+-------+-----------------+-------------------------+---------------------+----------
... o..3x..    | 3 0 0 | 3 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * | 0 2 0 0 0 2 0 0 0 0 | 1 0 2 1 0
ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 0 0 | * 3 * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 | 1 2 0 0 0
... ... xx.&#x | 2 2 0 | 1 2 0 0 1 0 0 0 | * * 6 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 0 | * * * 6 * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 | 0 2 1 0 0
o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 0 1 0 | * * * * 3 * * * * * * * | 0 0 1 0 2 0 0 0 0 0 | 0 2 0 1 0
... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 0 1 | * * * * * 6 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.x. ... .x.    | 0 4 0 | 0 0 0 2 2 0 0 0 | * * * * * * 3 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
... .o.3.x.    | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * 2 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.xx ... ...&#x | 0 2 2 | 0 0 0 1 0 2 1 0 | * * * * * * * * 3 * * * | 0 0 1 0 0 0 0 2 0 0 | 0 2 0 0 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * * * 6 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
..x ... ..x    | 0 0 4 | 0 0 0 0 0 0 2 2 | * * * * * * * * * * 3 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
... ..o3..x    | 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+-------+-----------------+-------------------------+---------------------+----------
ox. ... xx.&#x  2 4 0 | 1 4 0 2 2 0 0 0 | 0 2 2 0 0 0 1 0 0 0 0 0 | 3 * * * * * * * * * | 1 1 0 0 0
... oo.3xx.&#x  3 3 0 | 3 3 0 0 3 0 0 0 | 1 0 3 0 0 0 0 1 0 0 0 0 | * 2 * * * * * * * * | 1 0 1 0 0
oxx ... ...&#x  1 2 2 | 0 2 2 1 0 2 1 0 | 0 1 0 2 1 0 0 0 1 0 0 0 | * * 3 * * * * * * * | 0 2 0 0 0
... ... xxx&#x  2 2 2 | 1 2 2 0 1 2 0 1 | 0 0 1 2 0 1 0 0 0 1 0 0 | * * * 6 * * * * * * | 0 1 1 0 0
o.x ... x.x&#x  2 0 4 | 1 0 4 0 0 0 2 2 | 0 0 0 0 2 2 0 0 0 0 1 0 | * * * * 3 * * * * * | 0 1 0 1 0
... o.o3x.x&#x  3 0 3 | 3 0 3 0 0 0 0 3 | 1 0 0 0 0 3 0 0 0 0 0 1 | * * * * * 2 * * * * | 0 0 1 1 0
.x. .o.3.x.     0 6 0 | 0 0 0 3 6 0 0 0 | 0 0 0 0 0 0 3 2 0 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
.xx ... .xx&#x  0 4 4 | 0 0 0 2 2 4 2 2 | 0 0 0 0 0 0 1 0 2 2 1 0 | * * * * * * * 3 * * | 0 1 0 0 1
... .oo3.xx&#x  0 3 3 | 0 0 0 0 3 3 0 3 | 0 0 0 0 0 0 0 1 0 3 0 1 | * * * * * * * * 2 * | 0 0 1 0 1
..x ..o3..x     0 0 6 | 0 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * 1 | 0 0 0 1 1
---------------+-------+-----------------+-------------------------+---------------------+----------
ox. oo.3xx.&#x  3 6 0 | 3 6 0 3 6 0 0 0 | 1 3 6 0 0 0 3 2 0 0 0 0 | 3 2 0 0 0 0 1 0 0 0 | 1 * * * *
oxx ... xxx&#x  2 4 4 | 1 4 4 2 2 4 2 2 | 0 2 2 4 2 2 1 0 2 2 1 0 | 1 0 2 2 1 0 0 1 0 0 | * 3 * * *
... ooo3xxx&#x  3 3 3 | 3 3 3 0 3 3 0 3 | 1 0 3 3 0 3 0 1 0 3 0 1 | 0 1 0 3 0 1 0 0 1 0 | * * 2 * *
o.x o.o3x.x&#x  3 0 6 | 3 0 6 0 0 0 3 6 | 1 0 0 0 3 6 0 0 0 0 3 2 | 0 0 0 0 3 2 0 0 0 1 | * * * 1 *
.xx .oo3.xx&#x  0 6 6 | 0 0 0 3 6 6 3 6 | 0 0 0 0 0 0 3 2 3 6 3 2 | 0 0 0 0 0 0 1 3 2 1 | * * * * 1

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