Symmetric Canonical Self-Dual Dodecahedra

91 total:  7 

5 have C2v symmetry:  1 

5 have 6 edge lengths:  3 

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

Self-Dual Dodecahedron #7 (canonical)
Vertices:  12  (2[3] + 2[3] + 2[3] + 4[4] + 2[5])
Faces:12  (2 equilateral triangles + {2 * 2} isosceles triangles    
    + 4 irregular tetragons + 2 mirror-symmetric pentagons)
Edges:22  (6 different lengths)
Symmetry:  2-fold Pyramidal  (C2v)
(Each pentagon is a regular hexagon plus an equilateral triangle)
(values below based on edge-scribed radius = 1)
Edge 1 (2):  12*sqrt(2)/35    ≈0.48487322138506115959
Edge 2 (4):  10*sqrt(2)/21    ≈0.67343502970147383276
Edge 3 (7):  2*sqrt(2)/3    ≈0.94280904158206336587
Edge 4 (4):  6*sqrt(2)/5    ≈1.6970562748477140586
Edge 5 (4):  4*sqrt(2)/3    ≈1.8856180831641267317
Edge 6 (1):  2*sqrt(2)    ≈2.8284271247461900976
Edge-scribed Radius:  1
Volume:9784/2835    ≈3.4511463844797178131