Acronym ...
Name vertex figure of spil
Circumradius sqrt(41/48) = 0.924211
Confer
related segmentotera:
trial triddip  

Incidence matrix according to Dynkin symbol

xo3ox ox3oo&#q   → height = sqrt(4/3) = 1.154701
(q-laced variant of {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&#q | 1 1 | * 18 * * | 0 1 1  2 0 0 0 | 1 2 2 1 0 0 | 2 1 1 0  q
.. .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 .. .. ..&#q | 2 1 | 1  2 0 0 | * 9 *  * * * * | 1 2 0 0 0 0 | 2 1 0 0  (xqq)
.. ox .. ..&#q | 1 2 | 0  2 1 0 | * * 9  * * * * | 1 0 2 0 0 0 | 2 0 1 0  (xqq)
.. .. ox ..&#q | 1 2 | 0  2 0 1 | * * * 18 * * * | 0 1 1 1 0 0 | 1 1 1 0  (xqq)
.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 .. ..&#q  3 3 | 3  6 3 0 | 1 3 3  0 1 0 0 | 3 * * * * * | 2 0 0 0  (q-laced oct-variant)
xo .. ox ..&#q  2 2 | 1  4 0 1 | 0 2 0  2 0 0 0 | * 9 * * * * | 1 1 0 0  (q-laced tet-variant)
.. ox ox ..&#q  1 4 | 0  4 2 2 | 0 0 2  2 0 1 0 | * * 9 * * * | 1 0 1 0  (q-laced squippy-variant)
.. .. ox3oo&#q  1 3 | 0  3 0 3 | 0 0 0  3 0 0 1 | * * * 6 * * | 0 1 1 0  (q-laced tet-variant)
.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 ..&#q | 3 6 | 3 12 6 3 | 1 6 6  6 2 3 0 | 2 3 3 0 1 0 | 3 * * *  (q-laced traf-variant)
xo .. ox3oo&#q | 2 3 | 1  6 0 3 | 0 3 0  6 0 0 1 | 0 3 0 2 0 0 | * 3 * *  (q-laced pen-variant)
.. ox ox3oo&#q | 1 6 | 0  6 3 6 | 0 0 3  6 0 3 2 | 0 0 3 2 0 1 | * * 3 *  (q-laced trippy-variant)
.o3.x .x3.o     0 9 | 0  0 9 9 | 0 0 0  0 3 9 3 | 0 0 0 0 3 3 | * * * 1

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