Acronym	stapedit
Name	({5/2},{5})-duotegum, tegum product of a pentagon and a pentagram
Face vector	10, 35, 50, 25
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As abstract polytope stapedit is automorph, thereby just interchanging the roles of the bases.

It either can be thought of as a 4D tegum product of the formers bases as in here, or as a degenerate 5D segmentotope with zero height, cf. {5} || perp {5/2}.

Incidence matrix according to Dynkin symbol

ox5oo xo5/2oo&#zx   → height = 0
(tegum product of {5} and {5/2})

o.5o. o.5/2o.    | 5 * | 2  5 0 |  5 10 | 10
.o5.o .o5/2.o    | * 5 | 0  5 2 | 10  5 | 10
-----------------+-----+--------+-------+---
.. .. x.   ..    | 2 0 | 5  * * |  0  5 |  5
oo5oo oo5/2oo&#x | 1 1 | * 25 * |  2  2 |  4
.x .. ..   ..    | 0 2 | *  * 5 |  5  0 |  5
-----------------+-----+--------+-------+---
ox .. ..   ..&#x | 1 2 | 0  2 1 | 25  * |  2
.. .. xo   ..&#x | 2 1 | 1  2 0 |  * 25 |  2
-----------------+-----+--------+-------+---
ox .. xo   ..&#x ♦ 2 2 | 1  4 1 |  2  2 | 25