Polyhedron Dude wrote:Siphin - small prismated demipenteract - symbol = xo8x. The siphin regiment has 56 members plus 20 fissaries. Its facets are 10 hexes (blue), 16 pens (pink), 16 spids (light wood), and 40 tepes (light green).
http://pages.suddenlink.net/hedrondude/siphin.png
Because of being Wythoffian its incidence matrix can be given directly:
- Code: Select all
x3o3o *b3o3x
. . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 6 4 | 1 4 4 1
-------------+----+---------+-------------+-----------------+------------
x . . . . | 2 | 240 * | 4 2 0 | 2 2 4 1 0 | 1 2 2 0
. . . . x | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 0 1 3 1
-------------+----+---------+-------------+-----------------+------------
x3o . . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 1 0
x . . . x | 4 | 2 2 | * 240 * | 0 0 2 1 0 | 0 1 2 0
. . . o3x | 3 | 0 3 | * * 160 | 0 0 0 1 2 | 0 0 2 1
-------------+----+---------+-------------+-----------------+------------
x3o3o . . | 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 tet
x3o . *b3o . | 4 | 6 0 | 4 0 0 | * 80 * * * | 1 0 1 0 tet
x3o . . x | 6 | 6 3 | 2 3 0 | * * 160 * * | 0 1 1 0 trip
x . . o3x | 6 | 3 6 | 0 3 2 | * * * 80 * | 0 0 2 0 trip
. o . *b3o3x | 4 | 0 6 | 0 0 4 | * * * * 80 | 0 0 1 1 tet
-------------+----+---------+-------------+-----------------+------------
x3o3o *b3o . | 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | 10 * * * hex
x3o3o . x | 8 | 12 4 | 8 6 0 | 2 0 4 0 0 | * 40 * * tepe
x3o . *b3o3x | 20 | 30 30 | 20 30 20 | 0 5 10 10 5 | * * 16 * spid
. o3o *b3o3x | 5 | 0 10 | 0 0 10 | 0 0 0 0 5 | * * * 16 pen
--- rk