Acronym | ... |
Name |
q3x3o, variation of truncated tetrahedron, triangle-snub small rhombicuboctahedron |
| |
Circumradius | sqrt[5+2 sqrt(2)]/2 = 1.398966 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 12, 18, 8 |
Confer |
using edge sizes x = 1 and q = sqrt(2) = 1.414214
This polyhedron can be vertex inscribed into sirco. In fact, the latter is just a tegum sum of 2 such in dual position. Conversely it can be derived from sirco by means of a mere alternated faceting, cf. the above picture.
Incidence matrix according to Dynkin symbol
q3x3o . . . | 12 | 1 2 | 2 1 ------+----+------+---- q . . | 2 | 6 * | 2 0 . x . | 2 | * 12 | 1 1 ------+----+------+---- q3x . | 6 | 3 3 | 4 * . x3o | 3 | 0 3 | * 4
o3/2x3q . . . | 12 | 2 1 | 1 2 --------+----+------+---- . x . | 2 | 12 * | 1 1 . . q | 2 | * 6 | 0 2 --------+----+------+---- o3/2x . | 3 | 3 0 | 4 * . x3q | 6 | 3 3 | * 4
x3o4s demi( . . . ) | 12 | 1 2 | 1 2 --------------+----+------+---- . o4s ) ♦ 2 | 6 * | 0 2 q demi( x . . ) | 2 | * 12 | 1 1 --------------+----+------+---- demi( x3o . ) | 3 | 0 3 | 4 * sefa( x3o4s ) | 6 | 3 3 | * 4 starting figure: x3o4x
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