Acronym	mabred
Name	medial birhombatodecachoron
Net	©
Circumradius	sqrt[(2a2+2ab+3b2)/5]
Face vector	60, 300, 380, 140
Confer	variants: case 0 < b:a < 1/2 / case b:a = 1/2 / this 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 1/2 < b:a < 3. The other ones will be sabred for 0 < b:a < 1/2 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 = 1/2 (respid) and b:a = 3 (redeca) respectively.

Incidence matrix according to Dynkin symbol

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

o.3o.3o.3o.     & | 60 |  2   4   4 |  4  2  2   6   6 |  2  1  5  2  2
------------------+----+------------+------------------+---------------
a. .. .. ..     & |  2 | 60   *   * |  2  0  0   2   0 |  1  0  2  1  0
.. .. b. ..     & |  2 |  * 120   * |  1  1  1   0   1 |  1  1  1  0  1
oo3oo3oo3oo&#c    |  2 |  *   * 120 |  0  0  0   2   2 |  0  0  2  1  1
------------------+----+------------+------------------+---------------
a. .. b. ..     & |  4 |  2   2   0 | 60  *  *   *   * |  1  0  1  0  0
.. o.3b. ..     & |  3 |  0   3   0 |  * 40  *   *   * |  0  1  0  0  1
.. .. b.3o.     & |  3 |  0   3   0 |  *  * 40   *   * |  1  1  0  0  0
ao .. .. ..&#c  & |  3 |  1   0   2 |  *  *  * 120   * |  0  0  1  1  0
.. ob .. ..&#c  & |  3 |  0   1   2 |  *  *  *   * 120 |  0  0  1  0  1
------------------+----+------------+------------------+---------------
a. .. b.3o.     & |  6 |  3   6   0 |  3  0  2   0   0 | 20  *  *  *  * (b,a)-trip
.. o.3b.3o.     & |  6 |  0  12   0 |  0  4  4   0   0 |  * 10  *  *  * b-oct
ao .. bo ..&#c  & |  5 |  2   2   4 |  1  0  0   2   2 |  *  * 60  *  * (a,b,c)-squippy
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 (b,c)-trap