Acronym starpedippy, pt || starpedip
Name (degenerate) starpedip pyramid
Circumradius ∞   i.e. flat in euclidean space
Confer
general polytopal classes:
decomposition  

It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.

As abstract polytope starpedippy is automorph, thereby interchanging the roles of pentagons and pentagrams, resp. those of peppy and stappy as well as of pip and stip, resp. those of pippy and stippy.


Incidence matrix according to Dynkin symbol

ox5oo ox5/2oo&#x   → height = 0
(point || starpedip)

o.5o. o.5/2o.    | 1  *  25  0  0 | 25 25 0  0 0 | 5 25 5 0 0 | 5 5 0
.o5.o .o5/2.o    | * 25 |  1  2  2 |  2  2 1  4 1 | 1  4 1 2 2 | 2 2 1
-----------------+------+----------+--------------+------------+------
oo5oo oo5/2oo&#x | 1  1 | 25  *  * |  2  2 0  0 0 | 1  4 1 0 0 | 2 2 0
.x .. ..   ..    | 0  2 |  * 25  * |  1  0 1  2 0 | 1  2 0 2 1 | 2 1 1
.. .. .x   ..    | 0  2 |  *  * 25 |  0  1 0  2 1 | 0  2 1 1 2 | 1 2 1
-----------------+------+----------+--------------+------------+------
ox .. ..   ..&#x | 1  2 |  2  1  0 | 25  * *  * * | 1  2 0 0 0 | 2 1 0
.. .. ox   ..&#x | 1  2 |  2  0  1 |  * 25 *  * * | 0  2 1 0 0 | 1 2 0
.x5.o ..   ..    | 0  5 |  0  5  0 |  *  * 5  * * | 1  0 0 2 0 | 2 0 1
.x .. .x   ..    | 0  4 |  0  2  2 |  *  * * 25 * | 0  1 0 1 1 | 1 1 1
.. .. .x5/2.o    | 0  5 |  0  0  5 |  *  * *  * 5 | 0  0 1 0 2 | 0 2 1
-----------------+------+----------+--------------+------------+------
ox5oo ..   ..&#x  1  5 |  5  5  0 |  5  0 1  0 0 | 5  * * * * | 2 0 0
ox .. ox   ..&#x  1  4 |  4  2  2 |  2  2 0  1 0 | * 25 * * * | 1 1 0
.. .. ox5/2oo&#x  1  5 |  5  0  5 |  0  5 0  0 1 | *  * 5 * * | 0 2 0
.x5.o .x   ..     0 10 |  0 10  5 |  0  0 2  5 0 | *  * * 5 * | 1 0 1
.x .. .x5/2.o     0 10 |  0  5 10 |  0  0 0  5 2 | *  * * * 5 | 0 1 1
-----------------+------+----------+--------------+------------+------
ox5oo ox   ..&#x  1 10 | 10 10  5 | 10  5 2  5 0 | 2  5 0 1 0 | 5 * *
ox .. ox5/2oo&#x  1 10 | 10  5 10 |  5 10 0  5 2 | 0  5 2 0 1 | * 5 *
.x5.o .x5/2.o     0 25 |  0 25 25 |  0  0 5 25 5 | 0  0 0 5 5 | * * 1

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