Non-Regular Toroidal Solids

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

Heptagonal Iris Toroid
Vertices:  14  (14[5])
Faces:21  (7 squares + 14 obtuse triangles)
Edges:35  (21 short + 7 medium + 7 long)
Symmetry:  7-fold Dihedral  (D7)
Dihedral Angle 1 (7):  acos(root[379*(x^3)−487*(x^2)−11*x+127])    
    = acos((279−268*cos(π/7)+432*cos(2*π/7))/379)    
≈35.9303709354 degrees
Dihedral Angle 2 (14):  acos(sqrt(root[379*(x^3)−724*(x^2)+416*x−64]))    
    = acos(sqrt((228−56*cos(π/7)−136*cos(2*π/7))/379))    
≈60.350173480 degrees
Dihedral Angle 3 (7):  acos(-root[8*(x^3)+4*(x^2)−4*x−1]) = 900/7 degrees    ≈128.571428571 degrees
Dihedral Angle 4 (7):  acos(root[379*(x^3)−389*(x^2)−11*x+29])    
    = acos((89+284*cos(π/7)+40*cos(2*π/7))/379)    
≈347.360073820 degrees
(values below based on short edge length = 1)
Short Edge (21):  1
Medium Edge (7):  sqrt(root[(x^3)−8*(x^2)+19*x−13])    
    = sqrt(3+2*cos(2*π/7))    
≈2.0608201289092328402
Long Edge (7):  sqrt(root[(x^3)−9*(x^2)+20*x−13])    
    = sqrt(4+1/(sin(π/14)^2))/2    
≈2.4594546833642422926
Volume:sqrt(root[2985984*(x^3)−14224896*(x^2)    
    +7260624*x−823543])    
    = 7*sqrt(7)/(48*sin(π/7)^2)    
≈2.0495526270914956517