Acronym stippy
Name stellated-pentagonal prismatic pyramid,
vertex pyramid of the rectified grand hexacosachoron
Circumradius sqrt[5-2 sqrt(5)] = 0.726543
Confer
general pyramids:
pt || n/d-p  
general polytopal classes:
segmentochora  

As abstract polytope stippy is isomorphic to pippy, thereby replacing pentagrams by pentagons resp. replacing stip by pip and stappy by peppy.


Incidence matrix according to Dynkin symbol

ox ox5/2oo&#x   → height = sqrt[(5+2 sqrt(5))/20] = 0.688191
(pt || stip)

o. o.5/2o.    | 1  *  10 0  0 | 5 10 0 0 | 5 2 0
.o .o5/2.o    | * 10 |  1 1  2 | 1  2 2 1 | 2 1 1
--------------+------+---------+----------+------
oo oo5/2oo&#x | 1  1 | 10 *  * | 1  2 0 0 | 2 1 0
.x ..   ..    | 0  2 |  * 5  * | 1  0 2 0 | 2 0 1
.. .x   ..    | 0  2 |  * * 10 | 0  1 1 1 | 1 1 1
--------------+------+---------+----------+------
ox ..   ..&#x | 1  2 |  2 1  0 | 5  * * * | 2 0 0
.. ox   ..&#x | 1  2 |  2 0  1 | * 10 * * | 1 1 0
.x .x   ..    | 0  4 |  0 2  2 | *  * 5 * | 1 0 1
.. .x5/2.o    | 0  5 |  0 0  5 | *  * * 2 | 0 1 1
--------------+------+---------+----------+------
ox ox   ..&#x  1  4 |  4 2  2 | 2  2 1 0 | 5 * *
.. ox5/2oo&#x  1  5 |  5 0  5 | 0  5 0 1 | * 2 *
.x .x5/2.o     0 10 |  0 5 10 | 0  0 5 2 | * * 1

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