Acronym trtrashiddipaffip
Name triangle atop shiddip
Circumradius sqrt(3) = 1.732051
Lace hyper city
in approx. ASCII-art
       x3o o       
                   
    x3x x     x3x x
x3x x     x3x x    

i.e. a shallow square pyramid with hip base vertices and a {3} tip
Confer
uniform relative:
sart  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox ox ox3xx&#x   → height = 1/sqrt(6) = 0.408248
({3} || shiddip)

o. o. o.3o.    | 3  * | 2  8  0  0  0  0 | 1  4  4  4  8 0 0 0 0 0 0 | 2 2 4 2 4 4 0 0 0 0 | 1 2 2 2 0
.o .o .o3.o    | * 24 | 0  1  1  1  1  1 | 0  1  1  1  1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1
---------------+------+------------------+---------------------------+---------------------+----------
.. .. .. x.    | 2  0 | 3  *  *  *  *  * | 1  0  0  0  4 0 0 0 0 0 0 | 0 0 2 0 2 4 0 0 0 0 | 0 1 2 2 0
oo oo oo3oo&#x | 1  1 | * 24  *  *  *  * | 0  1  1  1  1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.x .. .. ..    | 0  2 | *  * 12  *  *  * | 0  1  0  0  0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
.. .x .. ..    | 0  2 | *  *  * 12  *  * | 0  0  1  0  0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
.. .. .x ..    | 0  2 | *  *  *  * 12  * | 0  0  0  1  0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
.. .. .. .x    | 0  2 | *  *  *  *  * 12 | 0  0  0  0  1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
---------------+------+------------------+---------------------------+---------------------+----------
.. .. o.3x.    | 3  0 | 3  0  0  0  0  0 | 1  *  *  *  * * * * * * * | 0 0 0 0 0 4 0 0 0 0 | 0 0 2 2 0
ox .. .. ..&#x | 1  2 | 0  2  1  0  0  0 | * 12  *  *  * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.. ox .. ..&#x | 1  2 | 0  2  0  1  0  0 | *  * 12  *  * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
.. .. ox ..&#x | 1  2 | 0  2  0  0  1  0 | *  *  * 12  * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.. .. .. xx&#x | 2  2 | 1  2  0  0  0  1 | *  *  *  * 12 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.x .x .. ..    | 0  4 | 0  0  2  2  0  0 | *  *  *  *  * 6 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.x .. .x ..    | 0  4 | 0  0  2  0  2  0 | *  *  *  *  * * 6 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.x .. .. .x    | 0  4 | 0  0  2  0  0  2 | *  *  *  *  * * * 6 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
.. .x .x ..    | 0  4 | 0  0  0  2  2  0 | *  *  *  *  * * * * 6 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.. .x .. .x    | 0  4 | 0  0  0  2  0  2 | *  *  *  *  * * * * * 6 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .. .x3.x    | 0  6 | 0  0  0  0  3  3 | *  *  *  *  * * * * * * 4 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+------+------------------+---------------------------+---------------------+----------
ox ox .. ..&#x  1  4 | 0  4  2  2  0  0 | 0  2  2  0  0 1 0 0 0 0 0 | 6 * * * * * * * * * | 1 1 0 0 0
ox .. ox ..&#x  1  4 | 0  4  2  0  2  0 | 0  2  0  2  0 0 1 0 0 0 0 | * 6 * * * * * * * * | 1 0 1 0 0
ox .. .. xx&#x  2  4 | 1  4  2  0  0  2 | 0  2  0  0  2 0 0 1 0 0 0 | * * 6 * * * * * * * | 0 1 1 0 0
.. ox ox ..&#x  1  4 | 0  4  0  2  2  0 | 0  0  2  2  0 0 0 0 1 0 0 | * * * 6 * * * * * * | 1 0 0 1 0
.. ox .. xx&#x  2  4 | 1  4  0  2  0  2 | 0  0  2  0  2 0 0 0 0 1 0 | * * * * 6 * * * * * | 0 1 0 1 0
.. .. ox3xx&#x  3  6 | 3  6  0  0  3  3 | 1  0  0  3  3 0 0 0 0 0 1 | * * * * * 4 * * * * | 0 0 1 1 0
.x .x .x ..     0  8 | 0  0  4  4  4  0 | 0  0  0  0  0 2 2 0 2 0 0 | * * * * * * 3 * * * | 1 0 0 0 1
.x .x .. .x     0  8 | 0  0  4  4  0  4 | 0  0  0  0  0 2 0 2 0 2 0 | * * * * * * * 3 * * | 0 1 0 0 1
.x .. .x3.x     0 12 | 0  0  6  0  6  6 | 0  0  0  0  0 0 3 3 0 0 2 | * * * * * * * * 2 * | 0 0 1 0 1
.. .x .x3.x     0 12 | 0  0  0  6  6  6 | 0  0  0  0  0 0 0 0 3 3 2 | * * * * * * * * * 2 | 0 0 0 1 1
---------------+------+------------------+---------------------------+---------------------+----------
ox ox ox ..&#x  1  8 | 0  8  4  4  4  0 | 0  4  4  4  0 2 2 0 2 0 0 | 2 2 0 2 0 0 1 0 0 0 | 3 * * * *
ox ox .. xx&#x  2  8 | 1  8  4  4  0  4 | 0  4  4  0  4 2 0 2 0 2 0 | 2 0 2 0 2 0 0 1 0 0 | * 3 * * *
ox .. ox3xx&#x  3 12 | 3 12  6  0  6  6 | 1  6  0  6  6 0 3 3 0 0 2 | 0 3 3 0 0 2 0 0 1 0 | * * 2 * *
.. ox ox3xx&#x  3 12 | 3 12  0  6  6  6 | 1  0  6  6  6 0 0 0 3 3 2 | 0 0 0 3 3 2 0 0 0 1 | * * * 2 *
.x .x .x3.x     0 24 | 0  0 12 12 12 12 | 0  0  0  0  0 6 6 6 6 6 4 | 0 0 0 0 0 0 3 3 2 2 | * * * * 1

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