- related segmentochora:
- ike || id {5} || pero pippy
- general polytopal classes:
- segmentochora
| Acronym | peppia pero, K-4.139 |
| Name | pentagonal-pyramid atop pentagonal-rotunda |
| Segmentochoron display |
|
| Circumradius | sqrt[5+2 sqrt(5)] = 3.077684 |
| Face vector | 26, 75, 68, 19 |
| Confer |
|
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
© 2004-2024 | top of page |