Acronym | mabric |
Name | medial birhombatotetracontoctachoron |
Circumradius | sqrt[a2 + 2 sqrt(2) ab + 3b2] |
Face vector | 576, 2880, 3552, 1248 |
Confer | |
External links |
This polychoron is the general form of one of the 3 phases of the tegum sum of 2 inverted general srico variants, ao3ob4bo3oa&#zc, here in fact the realm of 1/2 < b:a < 2+sqrt(2). The other ones will be sabric for 0 < b:a < 1/2 resp. gabric for 2+sqrt(2) < b:a < ∞.
Further there are singular transition cases too. The relevant ones for the current realm are the bordering cases b:a = 1/2 (respic) and b:a = 2+sqrt(2) (recont) respectively.
Incidence matrix according to Dynkin symbol
ao3ob4bo3oa&#zc → height = 0 c = sqrt[(2-sqrt(2)) a2 - (6-4 sqrt(2)) ab + (6-4 sqrt(2)) b2] 1/2 < b:a < 2+sqrt(2) o.3o.4o.3o. & | 576 | 2 4 4 | 4 2 2 6 6 | 2 1 5 2 2 ------------------+-----+---------------+-----------------------+------------------- a. .. .. .. & | 2 | 576 * * | 2 0 0 2 0 | 1 0 2 1 0 .. .. b. .. & | 2 | * 1152 * | 1 1 1 0 1 | 1 1 1 0 1 oo3oo4oo3oo&#c | 2 | * * 1152 | 0 0 0 2 2 | 0 0 2 1 1 ------------------+-----+---------------+-----------------------+------------------- a. .. b. .. & | 4 | 2 2 0 | 576 * * * * | 1 0 1 0 0 .. o.4b. .. & | 4 | 0 4 0 | * 288 * * * | 0 1 0 0 1 .. .. b.3o. & | 3 | 0 3 0 | * * 384 * * | 1 1 0 0 0 ao .. .. ..&#c & | 3 | 1 0 2 | * * * 1152 * | 0 0 1 1 0 .. ob .. ..&#c & | 3 | 0 1 2 | * * * * 1152 | 0 0 1 0 1 ------------------+-----+---------------+-----------------------+------------------- a. .. b.3o. & | 6 | 3 6 0 | 3 0 2 0 0 | 192 * * * * (b,a)-trip .. o.4b.3o. & | 12 | 0 24 0 | 0 6 8 0 0 | * 48 * * * b-co ao .. bo ..&#c & | 5 | 2 2 4 | 1 0 0 2 2 | * * 576 * * (a,b,c)-squippy ao .. .. oa&#c | 4 | 2 0 4 | 0 0 0 4 0 | * * * 288 * tetragonal disphenoid (tet variant) .. ob4bo ..&#c | 8 | 0 8 8 | 0 2 0 0 8 | * * * * 144 (b,c)-squap
© 2004-2024 | top of page |