Acronym ...
Name squap - square duoprism,
{4}-wedge of tessap
Circumradius sqrt[3+sqrt(2)]/2 = 1.050501
Confer
related segmentoteron:
tessap  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xo4ox oo4ox&#x   → height = sqrt[(sqrt(2)-1)/2] = 0.455090
({4} || gyro tes)

o.4o. o. o.    | 4  * | 2  8  0  0 | 1  8  4  8 0  0 0 | 4  8  4 2 0 0 | 4 2 1 0
.o4.o .o .o    | * 16 | 0  2  2  2 | 0  1  2  4 1  4 1 | 1  2  4 2 2 2 | 2 1 2 1
---------------+------+------------+-------------------+---------------+--------
x. .. .. ..    | 2  0 | 4  *  *  * | 1  4  0  0 0  0 0 | 4  4  0 0 0 0 | 4 1 0 0
oo4oo oo4oo&#x | 1  1 | * 32  *  * | 0  1  1  2 0  0 0 | 1  2  2 1 0 0 | 2 1 1 0
.. .x .. ..    | 0  2 | *  * 16  * | 0  0  1  0 1  2 0 | 1  0  2 0 2 1 | 2 0 1 1
.. .. .. .x    | 0  2 | *  *  * 16 | 0  0  0  2 0  2 1 | 0  1  2 2 1 2 | 1 1 2 1
---------------+------+------------+-------------------+---------------+--------
x.4o. .. ..    | 4  0 | 4  0  0  0 | 1  *  *  * *  * * | 4  0  0 0 0 0 | 4 0 0 0
xo .. .. ..&#x | 2  1 | 1  2  0  0 | * 16  *  * *  * * | 1  2  0 0 0 0 | 2 1 0 0
.. ox .. ..&#x | 1  2 | 0  2  1  0 | *  * 16  * *  * * | 1  0  2 0 0 0 | 2 0 1 0
.. .. .. ox&#x | 1  2 | 0  2  0  1 | *  *  * 32 *  * * | 0  1  1 1 0 0 | 1 1 1 0
.o4.x .. ..    | 0  4 | 0  0  4  0 | *  *  *  * 4  * * | 1  0  0 0 2 0 | 2 0 0 1
.. .x .. .x    | 0  4 | 0  0  2  2 | *  *  *  * * 16 * | 0  0  1 0 1 1 | 1 0 1 1
.. .. .o4.x    | 0  4 | 0  0  0  4 | *  *  *  * *  * 4 | 0  0  0 2 0 2 | 0 1 2 1
---------------+------+------------+-------------------+---------------+--------
xo4ox .. ..     4  4 | 4  8  4  0 | 1  4  4  0 1  0 0 | 4  *  * * * * | 2 0 0 0
xo .. .. ox&#x  2  2 | 1  4  0  1 | 0  2  0  2 0  0 0 | * 16  * * * * | 1 1 0 0
.. ox .. ox&#x  1  4 | 0  4  2  2 | 0  0  2  2 0  1 0 | *  * 16 * * * | 1 0 1 0
.. .. oo4ox&#x  1  4 | 0  4  0  4 | 0  0  0  4 0  0 1 | *  *  * 8 * * | 0 1 1 0
.o4.x .. .x     0  8 | 0  0  8  4 | 0  0  0  0 2  4 0 | *  *  * * 4 * | 1 0 0 1
.. .x .o4.x     0  8 | 0  0  4  8 | 0  0  0  0 0  4 2 | *  *  * * * 4 | 0 0 1 1
---------------+------+------------+-------------------+---------------+--------
xo4ox .. ox&#x  4  8 | 4 16  8  4 | 1  8  8  8 2  4 0 | 2  4  4 0 1 0 | 4 * * *
xo .. oo4ox&#x  2  4 | 1  8  0  4 | 0  4  0  8 0  0 1 | 0  4  0 2 0 0 | * 4 * *
.. ox oo4ox&#x  1  8 | 0  8  4  8 | 0  0  4  8 0  4 2 | 0  0  4 2 0 1 | * * 4 *
.o4.x .o4.x     0 16 | 0  0 16 16 | 0  0  0  0 4 16 4 | 0  0  0 0 4 4 | * * * 1

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