rerico

Acronym	rerico
Name	x3o4q3o, rectified rectified-icositetrachoron, variation of small rhombated icositetrachoron
Circumradius	sqrt(11) = 3.316625
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	at q3o between x q3o and o4q3o: 150° at x q between x3o4q and x q3o: arccos[-sqrt(2/3)] = 144.735610° at o4q between x3o4q and o4q3o: 135° at x3o between x3o4q and x3o4q: 120°
Face vector	288, 864, 720, 144
Confer	uniform variant: srico ambification pre-image: rico

using edge sizes x = 1 and q = sqrt(2) = 1.414214

Incidence matrix according to Dynkin symbol

x3o4q3o

. . . . | 288 |   2   4 |  1   4   2   2 |  2  2  1
--------+-----+---------+----------------+---------
x . . . |   2 | 288   * |  1   2   0   0 |  2  1  0
. . q . |   2 |   * 576 |  0   1   1   1 |  1  1  1
--------+-----+---------+----------------+---------
x3o . . |   3 |   3   0 | 96   *   *   * |  2  0  0
x . q . |   4 |   2   2 |  * 288   *   * |  1  1  0
. o4q . |   4 |   0   4 |  *   * 144   * |  1  0  1
. . q3o |   3 |   0   3 |  *   *   * 192 |  0  1  1
--------+-----+---------+----------------+---------
x3o4q . ♦  24 |  24  24 |  8  12   6   0 | 24  *  *
x . q3o ♦   6 |   3   6 |  0   3   0   2 |  * 96  *
. o4q3o ♦  12 |   0  24 |  0   0   6   8 |  *  * 24

top of page