Acronym ...
Name (ex derived) pedpy variant,
o3m3o5o cell
Confer
related Johnson solids:
pedpy  

The c edge, provided in the below description, only qualifies as pseudo edge wrt. the full polyhedron.


Incidence matrix according to Dynkin symbol

co oo5ox&#zy   → height = 0
                 c = (5+3 sqrt(5))/5 = 2.341641 (tip-to-tip distance)
                 y = sqrt[(6+2 sqrt(5))/5] = 1.447214 (lacing edge size)
(tegum product of c-line with {5})

o. o.5o.    | 2 * |  5 0 |  5
.o .o5.o    | * 5 |  2 2 |  4
------------+-----+------+---
oo oo5oo&#y | 1 1 | 10 * |  2
.. .o5.x    | 0 2 |  * 5 |  2
------------+-----+------+---
.. .. ox&#y | 1 2 |  2 1 | 10

oxo3ooo&#yt   → both heights = c/2 = (5+3 sqrt(5))/10 = 1.170820
                y = sqrt[(6+2 sqrt(5))/5] = 1.447214 (lacing edge size)
(pt || pseudo {5} || pt)

o..5o..    | 1 * * | 5 0 0 | 5 0
.o.5.o.    | * 5 * | 1 2 1 | 2 2
..o5..o    | * * 1 | 0 0 5 | 0 5
-----------+-------+-------+---
oo.5oo.&#y | 1 1 0 | 5 * * | 2 0
.x.5...    | 0 2 0 | * 5 * | 1 1
.oo5.oo&#y | 0 1 1 | * * 5 | 0 2
-----------+-------+-------+----
ox.5...&#y | 1 2 0 | 2 1 0 | 5 *
.xo5...&#y | 0 2 1 | 0 1 2 | * 5

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