Regular Triangular Toroidal Solids

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Anti-Octagonal Iris Toroid #2
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((433+176*sqrt(2)    
    +2*sqrt(1115402−242351*sqrt(2)))/2671)    
≈24.007908109 degrees
Dihedral Angle 2 (16):  acos(sqrt((4*sqrt(16878082+11934319*sqrt(2))    
    −7419−10788*sqrt(2))/8013))    
≈74.610209401 degrees
Dihedral Angle 3 (16):  acos(−(2*sqrt(2+sqrt(2))−1)/3)    ≈153.962382889 degrees
Dihedral Angle 4 (8):  acos((641−418*sqrt(2)    
    +2*sqrt(842474+592543*sqrt(2)))/2671)    
≈351.623625183 degrees
(values below based on short edge length = 1)
Short Edge (32):  1
Medium Edge (8):  sqrt(1+sqrt(10+7*sqrt(2)))    ≈2.3368536528365071257
Long Edge (8):  sqrt(1+sqrt(2*(10+7*sqrt(2))))    ≈2.7034503989897613951
Volume:2*sqrt(sqrt(1970+1393*sqrt(2))−24−17*sqrt(2))/3    ≈2.5584530657822790057