Derived Solids

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

132-Pentagon Polyhedron
Vertices:  200  (20[3] + 60[3] + 60[3] + 60[4])
Faces:132  (12 regular pentagons + {60 * 2} mirror-symmetric pentagons)
Edges:330  (5 different lengths)
Symmetry:  Full Icosahedral  (Ih)
(values below based on edge-scribed radius = 1)
Edge 1 (60):  (2115−651*sqrt(5)    
    −4*sqrt(386005−166609*sqrt(5)))/1189    
≈0.16427300497188634926
Edge 2 (30):  (39−23*sqrt(5)    
    +4*sqrt(2965−1201*sqrt(5)))/281    
≈0.19374142380149879307
Edge 3 (60):  (16983−6553*sqrt(5)    
    +25*sqrt(1224145−546829*sqrt(5)))/13079    
≈0.249625658493937330547
Edge 4 (120):  (1479−829*sqrt(5)    
    +3*sqrt(2331425−972061*sqrt(5)))/3091    
≈0.264359867908743552453
Edge 5 (60):  sqrt(145−61*sqrt(5))/11    ≈0.26659551453067363237
Edge-scribed Radius:  1
Volume:root[57152766060269*(x^4)    
    +6053480169891000*(x^3)    
    −336352644629194000*(x^2)    
    +1962570915393840000*x    
    −2813431334175200000]    
≈4.12574099141931206453