Other Solids

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Tetracontahedron #1 with equal edges
equal-edge form
Vertices:  28  (4[3] + 12[5] + 12[5])
Faces:40  (28 equilateral triangles + 12 rhombi)
Edges:66  (all same length)
Symmetry:  Chiral Tetrahedral  (T)
(values below based on edge length = 1)
Rhombus Length:  sqrt(root[81*(x^6)+1017*(x^5)    
    −4929*(x^4)−40918*(x^3)    
    +270695*(x^2)−516775*x+311929])    
≈1.6470547415284258648
Rhombus Width:  sqrt(root[81*(x^6)−2961*(x^5)    
    +34851*(x^4)−146618*(x^3)    
    +268415*(x^2)−222321*x+68557])    
≈1.1345530743022691519
Rhombus Angle:  acos(root[5184*(x^6)+63648*(x^5)    
    +161616*(x^4)−213680*(x^3)    
    +30764*(x^2)+28346*x−7321])    
≈69.121055849 degrees
Volume:sqrt(root[6th-order polynomial])    ≈9.7080980740274225188