Non-Regular Toroidal Solids

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Toroid with regular faces
Vertices:  30  (15[3] + 15[4])
Faces:24  (6 equilateral triangles + 9 squares + 9 regular hexagons)
Edges:54  (all same length)
Symmetry:  3-fold Pyramidal  (C3v)
Dihedral Angle 1 (3):  acos(5*sqrt(3)/9)    ≈15.793169048 degrees
Dihedral Angle 2 (6):  acos(7/9)    ≈38.942441269 degrees
Dihedral Angle 3 (3):  acos(1/3)    ≈70.528779366 degrees
Dihedral Angle 4 (6):  acos(−1/3)    ≈109.471220634 degrees
Dihedral Angle 5 (21):  acos(−sqrt(3)/3)    ≈125.264389683 degrees
Dihedral Angle 6 (6):  acos(−sqrt(3)/3)    ≈234.735610317 degrees
Dihedral Angle 7 (6):  acos(−1/3)    ≈250.528779366 degrees
Dihedral Angle 8 (3):  acos(1/3)    ≈289.471220634 degrees
(values below based on edge length = 1)
Volume:21*sqrt(2)/4    ≈7.4246212024587490062


References:[1]On Some Regular Toroids (Lajos Szilassi)
[2]Lajos Szilassi, On Three Classes of Regular Toroids,
3rd International Conference APLIMAT 2004.