Acronym peppia pero, K-4.139
Name pentagonal-pyramid atop pentagonal-rotunda
Segmentochoron display
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
Confer
related segmentochora:
ike || id   {5} || pero   pippy  
general polytopal classes:
segmentochora  

This polychoron occurs as a diminishing of xo3ox5oo&#x: The diminishing chops off a gyepip (J11) from the ike, then leaving just a peppy (J2), and chops off a pero (J6) from id.


Incidence matrix according to Dynkin symbol

ox5oo&#x || xox5ofx&#xt   → height = (sqrt(5)-1)/4 = 0.309017
(peppy || pero)

o.5o.       ... ...     | 1 * * *  *  5 5 0 0  0  0 0  0  0 0 0 | 5 5 5 0  0 0  0 0 0 0 0 0 0 0 | 1 5 1 0 0 0 0
.o5.o       ... ...     | * 5 * *  * | 1 0 2 1  2  2 0  0  0 0 0 | 2 1 0 1  2 2  2 2 1 0 0 0 0 0 | 1 2 0 1 1 2 0
.. ..       o..5o..     | * * 5 *  * | 0 1 0 1  0  0 2  2  0 0 0 | 0 1 2 0  2 0  0 0 0 1 2 1 0 0 | 0 2 1 1 0 0 1
.. ..       .o.5.o.     | * * * 5  * | 0 0 0 0  2  0 0  2  2 0 0 | 0 0 0 0  2 1  2 0 0 0 1 2 1 0 | 0 1 0 2 0 1 1
.. ..       ..o5..o     | * * * * 10 | 0 0 0 0  0  1 0  0  1 1 1 | 0 0 0 0  0 0  1 1 1 0 0 1 1 1 | 0 0 0 1 1 1 1
------------------------+------------+---------------------------+-------------------------------+--------------
oo5oo&#x    ... ...     | 1 1 0 0  0 | 5 * * *  *  * *  *  * * * | 2 1 0 0  0 0  0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0
o.5o.    || o..5o..     | 1 0 1 0  0 | * 5 * *  *  * *  *  * * * | 0 1 2 0  0 0  0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0
.x ..       ... ...     | 0 2 0 0  0 | * * 5 *  *  * *  *  * * * | 1 0 0 1  0 1  0 1 0 0 0 0 0 0 | 1 1 0 0 1 1 0
.o5.o    || o..5o..     | 0 1 1 0  0 | * * * 5  *  * *  *  * * * | 0 1 0 0  2 0  0 0 0 0 0 0 0 0 | 0 2 0 1 0 0 0
.o5.o    || .o.5.o.     | 0 1 0 1  0 | * * * * 10  * *  *  * * * | 0 0 0 0  1 1  1 0 0 0 0 0 0 0 | 0 1 0 1 0 1 0
.o5.o    || ..o5..o     | 0 1 0 0  1 | * * * *  * 10 *  *  * * * | 0 0 0 0  0 0  1 1 1 0 0 0 0 0 | 0 0 0 1 1 1 0
.. ..       x.. ...     | 0 0 2 0  0 | * * * *  *  * 5  *  * * * | 0 0 1 0  0 0  0 0 0 1 1 0 0 0 | 0 1 1 0 0 0 1
.. ..       oo.5oo.&#x  | 0 0 1 1  0 | * * * *  *  * * 10  * * * | 0 0 0 0  1 0  0 0 0 0 1 1 0 0 | 0 1 0 1 0 0 1
.. ..       .oo5.oo&#x  | 0 0 0 1  1 | * * * *  *  * *  * 10 * * | 0 0 0 0  0 0  1 0 0 0 0 1 1 0 | 0 0 0 1 0 1 1
.. ..       ..x ...     | 0 0 0 0  2 | * * * *  *  * *  *  * 5 * | 0 0 0 0  0 0  0 1 0 0 0 0 1 1 | 0 0 0 0 1 1 1
.. ..       ... ..x     | 0 0 0 0  2 | * * * *  *  * *  *  * * 5 | 0 0 0 0  0 0  0 0 1 0 0 1 0 1 | 0 0 0 1 1 0 1
------------------------+------------+---------------------------+-------------------------------+--------------
ox ..&#x    ... ...     | 1 2 0 0  0 | 2 0 1 0  0  0 0  0  0 0 0 | 5 * * *  * *  * * * * * * * * | 1 1 0 0 0 0 0
oo5oo&#x || o..5o..     | 1 1 1 0  0 | 1 1 0 1  0  0 0  0  0 0 0 | * 5 * *  * *  * * * * * * * * | 0 2 0 0 0 0 0
o.5o.    || x.. ...     | 1 0 2 0  0 | 0 2 0 0  0  0 1  0  0 0 0 | * * 5 *  * *  * * * * * * * * | 0 1 1 0 0 0 0
.x5.o       ... ...     | 0 5 0 0  0 | 0 0 5 0  0  0 0  0  0 0 0 | * * * 1  * *  * * * * * * * * | 1 0 0 0 1 0 0
.o5.o    || oo.5oo.&#x  | 0 1 1 1  0 | 0 0 0 1  1  0 0  1  0 0 0 | * * * * 10 *  * * * * * * * * | 0 1 0 1 0 0 0
.x ..    || .o.5.o.     | 0 2 0 1  0 | 0 0 1 0  2  0 0  0  0 0 0 | * * * *  * 5  * * * * * * * * | 0 1 0 0 0 1 0
.o5.o    || .oo5.oo&#x  | 0 1 0 1  1 | 0 0 0 0  1  1 0  0  1 0 0 | * * * *  * * 10 * * * * * * * | 0 0 0 1 0 1 0
.x ..    || ..x ...     | 0 2 0 0  2 | 0 0 1 0  0  2 0  0  0 1 0 | * * * *  * *  * 5 * * * * * * | 0 0 0 0 1 1 0
.o5.o    || ... ..x     | 0 1 0 0  2 | 0 0 0 0  0  2 0  0  0 0 1 | * * * *  * *  * * 5 * * * * * | 0 0 0 1 1 0 0
.. ..       x..5o..     | 0 0 5 0  0 | 0 0 0 0  0  0 5  0  0 0 0 | * * * *  * *  * * * 1 * * * * | 0 0 1 0 0 0 1
.. ..       xo. ...&#x  | 0 0 2 1  0 | 0 0 0 0  0  0 1  2  0 0 0 | * * * *  * *  * * * * 5 * * * | 0 1 0 0 0 0 1
.. ..       ... ofx&#xt | 0 0 1 2  2 | 0 0 0 0  0  0 0  2  2 0 1 | * * * *  * *  * * * * * 5 * * | 0 0 0 1 0 0 1
.. ..       .ox ...&#x  | 0 0 0 1  2 | 0 0 0 0  0  0 0  0  2 1 0 | * * * *  * *  * * * * * * 5 * | 0 0 0 0 0 1 1
.. ..       ..x5..x     | 0 0 0 0 10 | 0 0 0 0  0  0 0  0  0 5 5 | * * * *  * *  * * * * * * * 1 | 0 0 0 0 1 0 1
------------------------+------------+---------------------------+-------------------------------+--------------
ox5oo&#x    ... ...      1 5 0 0  0 | 5 0 5 0  0  0 0  0  0 0 0 | 5 0 0 1  0 0  0 0 0 0 0 0 0 0 | 1 * * * * * *
ox ..&#x || xo. ...&#x   1 2 2 1  0 | 2 2 1 2  2  0 1  2  0 0 0 | 1 2 1 0  2 1  0 0 0 0 1 0 0 0 | * 5 * * * * *
o.5o.    || x..5o..      1 0 5 0  0 | 0 5 0 0  0  0 5  0  0 0 0 | 0 0 5 0  0 0  0 0 0 1 0 0 0 0 | * * 1 * * * *
.o5.o    || ... ofx&#xt  0 1 1 2  2 | 0 0 0 1  2  2 0  2  2 0 1 | 0 0 0 0  2 0  2 0 1 0 0 1 0 0 | * * * 5 * * *
.x5.o    || ..x5..x&#x   0 5 0 0 10 | 0 0 5 0  0 10 0  0  0 5 5 | 0 0 0 1  0 0  0 5 5 0 0 0 0 1 | * * * * 1 * *
.x ..    || .ox ...&#x   0 2 0 1  2 | 0 0 1 0  2  2 0  0  2 1 0 | 0 0 0 0  0 1  2 1 0 0 0 0 1 0 | * * * * * 5 *
.. ..       xox5ofx&#xt  0 0 5 5 10 | 0 0 0 0  0  0 5 10 10 5 5 | 0 0 0 0  0 0  0 0 0 1 5 5 5 1 | * * * * * * 1

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