Regular Triangular Toroidal Solids

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Anti-Octagonal Iris Toroid #1
Vertices:  16  (16[6])
Faces:32  (16 equilateral triangles + 16 obtuse triangles)
Edges:48  (32 short + 8 medium + 8 long)
Symmetry:  8-fold Dihedral  (D8)
Dihedral Angle 1 (8):  acos((97+22*sqrt(2)    
    +6*sqrt(1114−697*sqrt(2)))/367)    
≈57.706404218 degrees
Dihedral Angle 2 (16):  acos(sqrt((8*sqrt(12706+8977*sqrt(2))    
    −147−616*sqrt(2))/1101))    
≈61.117343051 degrees
Dihedral Angle 3 (16):  acos(−(2*sqrt(2+sqrt(2))−1)/3)    ≈153.962382889 degrees
Dihedral Angle 4 (8):  acos((5−14*sqrt(2)    
    +2*sqrt(24418−769*sqrt(2)))/367)    
≈322.378770349 degrees
(values below based on short edge length = 1)
Short Edge (32):  1
Medium Edge (8):  sqrt(1+sqrt(2+sqrt(2)))    ≈1.6875304634354229969
Long Edge (8):  sqrt(1+sqrt(10+7*sqrt(2)))    ≈2.3368536528365071257
Volume:2*sqrt(2*(sqrt(58+41*sqrt(2))−4−3*sqrt(2)))/3    ≈1.4987071072402347309