Acronym ...
Name diagonal square wedge,
line atop dual square
 
Circumradius sqrt(8/7) = 1.069045
Face vector 6, 11, 7

Incidence matrix according to Dynkin symbol

uoo oux&#(12:zq,13:h,23:q)   → height(12,3) = sqrt(7)/2 = 1.322876
(dual {4} || line)

o.. o..                   | 2 * * | 2 2 0 0 | 1 2 1
.o. .o.                   | * 2 * | 2 0 1 0 | 1 2 0
..o ..o                   | * * 2 | 0 2 1 1 | 0 2 2
--------------------------+-------+---------+------
oo. oo.&#q                | 1 1 0 | 4 * * * | 1 1 0  q
o.o o.o&#h                | 1 0 1 | * 4 * * | 0 1 1  h
.oo .oo&#q                | 0 1 1 | * * 2 * | 0 2 0  q
... ..x                   | 0 0 2 | * * * 1 | 0 0 2  x
--------------------------+-------+---------+------
uo. ou.&#zq               | 2 2 0 | 4 0 0 0 | 1 * *  q-{4}
ooo ooo&#(12:q,13:h,23:q) | 1 1 1 | 1 1 1 0 | * 4 *  {qqh}
... o.x&#h                | 1 0 2 | 0 2 0 1 | * * 2  {xhh}

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