Acronym	sabred
Name	small birhombatodecachoron
Net	©
Circumradius	sqrt[(2a2+2ab+3b2)/5]
Face vector	60, 300, 340, 100
Confer	variants: this case 0 < b:a < 1/2 / case b:a = 1/2 / case 1/2 < b:a < 3 / case b:a = 3 / case 3 < b:a < ∞ general polytopal classes: isogonal
External links

This polychoron is the general form of one of the 3 phases of the tegum sum of 2 inverted general srip variants, ao3ob3bo3oa&#zc, here in fact the realm of 0 < b:a < 1/2. The other ones will be mabred for 1/2 < b:a < 3 resp. gabred for 3 < b:a < ∞.

Further there are singular transition cases too. The relevant ones for the current realm are the bordering cases b:a = 0 (bideca) and b:a = 1/2 (respid) respectively. While the latter limit is seen quite direct, in the former process of b → 0 one observes the followings: the b-octs clearly vanish by size, the corresponding vertices will coincide by 6; the triangular antiprisms ob3bo&#c then become an likewise 6 fold coincident single edge; but the a-base connected pairs of triangular antipodia ao3ob&#c, instead of becoming according triangular pyramids each, rather happen to swap into rosettes of 3 further disphenoids.

Incidence matrix according to Dynkin symbol

ao3ob3bo3oa&#zc   → height = 0
                    c = sqrt[(3a2-2ab+2b2)/5]
                    0 < b:a < 1/2

o.3o.3o.3o.     & | 60 |  2   4   4 |  1  2  2   6   6 |  1  4  2  2
------------------+----+------------+------------------+------------
a. .. .. ..     & |  2 | 60   *   * |  1  0  0   2   0 |  0  2  1  0
.. .. b. ..     & |  2 |  * 120   * |  0  1  1   0   1 |  1  1  0  1
oo3oo3oo3oo&#c    |  2 |  *   * 120 |  0  0  0   2   2 |  0  2  1  1
------------------+----+------------+------------------+------------
a.3o. .. ..     & |  3 |  3   0   0 | 20  *  *   *   * |  0  2  0  0
.. o.3b. ..     & |  3 |  0   3   0 |  * 40  *   *   * |  1  0  0  1
.. .. b.3o.     & |  3 |  0   3   0 |  *  * 40   *   * |  1  1  0  0
ao .. .. ..&#c  & |  3 |  1   0   2 |  *  *  * 120   * |  0  1  1  0
.. ob .. ..&#c  & |  3 |  0   1   2 |  *  *  *   * 120 |  0  1  0  1
------------------+----+------------+------------------+------------
.. o.3b.3o.     & |  6 |  0  12   0 |  0  4  4   0   0 | 10  *  *  * b-oct
ao3ob .. ..&#c  & |  6 |  3   3   6 |  1  0  1   3   3 |  * 40  *  * triangular antipodium (oct variant)
ao .. .. oa&#c    |  4 |  2   0   4 |  0  0  0   4   0 |  *  * 30  * tetragonal disphenoid (tet variant)
.. ob3bo ..&#c    |  6 |  0   6   6 |  0  2  0   0   6 |  *  *  * 20 triangular antiprism (oct variant)