Acronym stadow
Name pentagrammic disphenoid,
pentagram atop fully orthogonal pentagram
Circumradius sqrt[(10-sqrt(5))/20] = 0.623054
Confer
more general:
{n/d} || perp {n/d}  
general polytopal classes:
segmentotera   scaliform   noble  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

xo5/2oo ox5/2oo&#x   → height = 1/sqrt[sqrt(5)] = 0.668740
({5/2} || perp. {5/2})

o.5/2o. o.5/2o.    & | 10 |  2  5 | 1 15 |  6 10 |  7
---------------------+----+-------+------+-------+---
x.   .. ..   ..    & |  2 | 10  * | 1  5 |  5  5 |  6
oo5/2oo oo5/2oo&#x   |  2 |  * 25 | 0  4 |  2  4 |  4
---------------------+----+-------+------+-------+---
x.5/2o. ..   ..    & |  5 |  5  0 | 2  * |  5  0 |  5  {5/2}
xo   .. ..   ..&#x & |  3 |  1  2 | * 50 |  1  2 |  3
---------------------+----+-------+------+-------+---
xo5/2oo ..   ..&#x &   6 |  5  5 | 1  5 | 10  * |  2
xo   .. ox   ..&#x     4 |  2  4 | 0  4 |  * 25 |  2
---------------------+----+-------+------+-------+---
xo5/2oo ox   ..&#x &   7 |  6 10 | 1 15 |  2  5 | 10

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