Acronym starpglass
Name pentagrammic retroprismatic hourglass
 
Circumradius 1/sqrt(2) = 0.707107
Face vector 10, 15, 7
Confer
uniform relative:
starp   stip  

As abstract polytope it is equivalent to the pentagrammic prism: in fact that one uses a reflection plane orthogonal to its axis, while this one uses a point reflection there instead. As such it reuses the symmetry of the pentagrammic retroprism but still the incidences of the pentagrammic prism.

Measurings are taken here so that the hemifaces are bowties with sequence xq(-x)q.


Incidence matrix

higher (x5/2o || o5/2x)-faceting   → height = sqrt[2/sqrt(5)] = 0.945742

10 |  2 1 | 2 1
---+------+----
 2 | 10 * | 1 1  x
 2 |  * 5 | 2 0  q
---+------+----
 4 |  2 2 | 5 *  xq(-x)q
 5 |  5 0 | * 2  {5/2}

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