Acronym ..., {5} || gyro pedip
Name (degenerate) pentagon atop gyrated pedip
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.


Incidence matrix according to Dynkin symbol

ox5oo ox5xo&#x   → height = 0
({5} || gyro pedip)

o.5o. o.5o.    | 5  * | 2 10  0  0 | 1 10  5 10 0  0 0 |  2  5 10 5 0 0 | 1 2 5 0
.o5.o .o5.o    | * 25 | 0  2  2  2 | 0  4  2  1 1  4 1 |  2  4  2 1 2 2 | 2 1 2 1
---------------+------+------------+-------------------+----------------+--------
.. .. .. x.    | 2  0 | 5  *  *  * | 1  0  0  5 0  0 0 |  0  0  5 5 0 0 | 0 1 5 0
oo5oo oo5oo&#x | 1  1 | * 50  *  * | 0  2  1  1 0  0 0 |  1  2  2 1 0 0 | 1 1 2 0
.x .. .. ..    | 0  2 | *  * 25  * | 0  2  0  0 1  2 0 |  2  2  1 0 2 1 | 2 1 1 1
.. .. .x ..    | 0  2 | *  *  * 25 | 0  0  1  0 0  2 1 |  0  2  0 1 1 2 | 1 0 2 1
---------------+------+------------+-------------------+----------------+--------
.. .. o.5x.    | 5  0 | 5  0  0  0 | 1  *  *  * *  * * |  0  0  0 5 0 0 | 0 0 5 0
ox .. .. ..&#x | 1  2 | 0  2  1  0 | * 50  *  * *  * * |  1  1  1 0 0 0 | 1 1 1 0
.. .. ox ..&#x | 1  2 | 0  2  0  1 | *  * 25  * *  * * |  0  2  0 1 0 0 | 1 0 2 0
.. .. .. xo&#x | 2  1 | 1  2  0  0 | *  *  * 25 *  * * |  0  0  2 1 0 0 | 0 1 2 0
.x5.o .. ..    | 0  5 | 0  0  5  0 | *  *  *  * 5  * * |  2  0  0 0 2 0 | 2 1 0 1
.x .. .x ..    | 0  4 | 0  0  2  2 | *  *  *  * * 25 * |  0  1  0 0 1 1 | 1 0 1 1
.. .. .x5.o    | 0  5 | 0  0  0  5 | *  *  *  * *  * 5 |  0  0  0 1 0 2 | 0 0 2 1
---------------+------+------------+-------------------+----------------+--------
ox5oo .. ..&#x  1  5 | 0  5  5  0 | 0  5  0  0 1  0 0 | 10  *  * * * * | 1 1 0 0
ox .. ox ..&#x  1  4 | 0  4  2  2 | 0  2  2  0 0  1 0 |  * 25  * * * * | 1 0 1 0
ox .. .. xo&#x  2  2 | 1  4  1  0 | 0  2  0  2 0  0 0 |  *  * 25 * * * | 0 1 1 0
.. .. ox5xo&#x  5  5 | 5 10  0  5 | 1  0  5  5 0  0 1 |  *  *  * 5 * * | 0 0 2 0
.x5.o .x ..     0 10 | 0  0 10  5 | 0  0  0  0 2  5 0 |  *  *  * * 5 * | 1 0 0 1
.x .. .x5.o     0 10 | 0  0  5 10 | 0  0  0  0 0  5 2 |  *  *  * * * 5 | 0 0 1 1
---------------+------+------------+-------------------+----------------+--------
ox5oo ox ..&#x  1 10 | 0 10 10  5 | 0 10  5  0 2  5 0 |  2  5  0 0 1 0 | 5 * * *
ox5oo .. xo&#x  2  5 | 1 10  5  0 | 0 10  0  5 1  0 0 |  2  0  5 0 0 0 | * 5 * *
ox .. ox5xo&#x  5 10 | 5 20  5 10 | 1 10 10 10 0  5 2 |  0  5  5 2 0 1 | * * 5 *
.x5.o .x5.o     0 25 | 0  0 25 25 | 0  0  0  0 5 25 5 |  0  0  0 0 5 5 | * * * 1

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