Acronym | ... |
Name |
aoc3ddd3cao *b3oca&#ze, general variant of prismatorhombisnub icositetrachoron |
Circumradius | sqrt[(a2+ac+c2+2ad+2cd+2d2)/2] |
Face vector | 288, 1008, 960, 240 |
Especially | aoc3ooo3cao *b3oca&#ze (d=0) xof3xxx3fxo *b3ofx&#zx (prissi) |
Confer |
This generally isogonal polychoron happens to become prissi for a=d=e=x and c=f.
The non-resized mere alternation of prico, i.e. s3s4o3x, would be represented here by a=q, d=x, e=h, thus c=Q=2q.
The case d=0 would belong here as limiting case too, although some elements then become degenerate and so it has slightly different incidences, as shown separately in aoc3ooo3cao *b3oca&#ze.
Incidence matrix according to Dynkin symbol
aoc3ddd3cao *b3oca&#ze → height = 0 0 < a < c d > 0 e = sqrt[(a2-ac+c2)/2] o..3o..3o.. *b3o.. & | 288 | 1 2 4 | 2 1 3 4 2 | 1 3 2 1 -------------------------+-----+-------------+-------------------+------------ a.. ... ... ... & | 2 | 144 * * | 2 0 2 0 0 | 1 2 0 1 a ... d.. ... ... & | 2 | * 288 * | 1 1 0 2 0 | 1 2 1 0 d oo.3oo.3oo. *b3oo.&#e & | 2 | * * 576 | 0 0 1 1 1 | 0 1 1 1 e -------------------------+-----+-------------+-------------------+------------ a..3d.. ... ... & | 6 | 3 3 0 | 96 * * * * | 1 1 0 0 ... d.. ... *b3o.. & | 3 | 0 3 0 | * 96 * * * | 1 1 0 0 ao. ... ... ...&#e & | 3 | 1 0 2 | * * 288 * * | 0 1 0 1 ... dd. ... ...&#e & | 4 | 0 2 2 | * * * 288 * | 0 1 1 0 ooo3ooo3ooo *b3ooo&#e | 3 | 0 0 3 | * * * * 192 | 0 0 1 1 -------------------------+-----+-------------+-------------------+------------ a..3d.. ... *b3o.. & | 12 | 6 12 0 | 4 4 0 0 0 | 24 * * * (a,d)-tut ao.3dd. ... ...&#e & | 9 | 3 6 6 | 1 1 3 3 0 | * 96 * * (a,d,e)-tricu ... ddd ... ...&#e | 6 | 0 3 6 | 0 0 0 3 2 | * * 96 * (d,e)-trip aoc ... coa oca&#ze | 12 | 6 0 24 | 0 0 12 0 8 | * * * 24 pyritohedral (a,c,e)-ike
© 2004-2024 | top of page |