Acronym ...
Name xo3oo3oo&#q,
taller variant of tetrahedral pyramid
Circumradius sqrt(8/13) = 0.784465
Lace city
in approx. ASCII-art
 o3o   
       
       
x3o o3o
Face vector 5, 10, 10, 5
Confer
uniform variant:
pen  
variations:
qo3oo3oo&#x  

using edge sizes x = 1 and q = sqrt(2) = 1.414214


Incidence matrix according to Dynkin symbol

xo3oo3oo&#q   → height = sqrt(13/8) = 1.274755
(q-laced pyramid of x-tet)

o.3o.3o.    | 4 *  3 1 | 3 3 | 1 3
.o3.o3.o    | * 1  0 4 | 0 6 | 0 4
------------+-----+-----+-----+----
x. .. ..    | 2 0 | 6 * | 2 1 | 1 2
oo3oo3oo&#q | 1 1 | * 4 | 0 3 | 0 3
------------+-----+-----+-----+----
x.3o.       | 3 0 | 3 0 | 4 * | 1 1
xo .. ..&#q | 2 1 | 1 2 | * 6 | 0 2
------------+-----+-----+-----+----
x.3o.3o.     4 0 | 6 0 | 4 0 | 1 *
xo3oo ..&#q  3 1 | 3 3 | 1 3 | * 4

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