Acronym ...
Name xo oq&#q,
tetrahedron with one shorter edge,
vertex figure of tisdip
Circumradius sqrt(7/10) = 0.836660
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
uniform variant:
tet  
variations:
xo ox&#q  

Incidence matrix according to Dynkin symbol

xo oq&#q   → height = sqrt(5)/2 = 1.118034
(line || perp q-line – with q-lacings)

o. o.    | 2 * | 1 2 0 | 2 1
.o .o    | * 2 | 0 2 1 | 1 2
---------+-----+-------+----
x. ..    | 2 0 | 1 * * | 2 0
oo oo&#q | 1 1 | * 4 * | 1 1
.. .q    | 0 2 | * * 1 | 0 2
---------+-----+-------+----
xo ..&#q | 2 1 | 1 2 0 | 2 *  verf(trip)
.. oq&#q | 1 2 | 0 2 1 | * 2  verf(cube)

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