Acronym	siddykid
Name	small didyakis dodecahedron
	©
Inradius	sqrt[(71+12 sqrt(2))/97] = 0.952320
Dihedral angles	at long edge:   arccos[-(71+12 sqrt(2))/97] = 155.082180° at medium edge:   arccos[-(71+12 sqrt(2))/97] = 155.082180° at short edge:   arccos[-(71+12 sqrt(2))/97] = 155.082180°
Dual	girco
Face vector	26, 72, 48
Confer	general polytopal classes: Catalan polyhedra
External links

Incidence matrix according to Dynkin symbol

m3m4m =
aoo3oxo4oob&#z(c,d,e)   → heights = 0
                          a = (10+sqrt(2))/7 = 1.630602
                          b = (4 sqrt(2)-2)/3 = 1.218951
                          c = lacing(1,2) = sqrt[30+3 sqrt(2)]/7 = 0.835960
                          d = lacing(2,3) = sqrt[(4-2 sqrt(2))/3] = 0.624919
                          e = lacing(1,3) = sqrt[(328-124 sqrt(2))/147] = 1.018995

o..3o..4o..          | 6  * * |  4  4  0 |  8
.o.3.o.4.o.          | * 12 * |  2  0  2 |  4
..o3..o4..o          | *  * 8 |  0  3  3 |  6
---------------------+--------+----------+---
oo.3oo.4oo.&#c       | 1  1 0 | 24  *  * |  2
o.o3o.o4o.o&#e       | 1  0 1 |  * 24  * |  2
.oo3.oo4.oo&#d       | 0  1 1 |  *  * 24 |  2
---------------------+--------+----------+---
ooo3ooo4ooo&#(c,d,e) | 1  1 1 |  1  1  1 | 48