Non-Regular Toroidal Solids
(box: x-ray)
(F: faces)
(slider: perspective)
(image: L=rotate R=zoom)
(M: metrics)
Please use a browser that supports "canvas"
Pentagonal Trapezohedron Toroid
Vertices:
30 (10[3] + 10[3] + 10[4])
Faces:
20 ({10 * 2} mirror-symmetric pentagons)
Edges:
50 (5 different lengths)
Symmetry:
5-fold Antiprismatic (D5v)
(values below based on long edge length = 1)
Edge 1 (10):
(5−sqrt(5))/10
≈0.27639320225002103036
Edge 2 (10):
(3−sqrt(5))/2
≈0.38196601125010515180
Edge 3 (10):
(sqrt(5)−1)/2
≈0.61803398874989484820
Edge 4 (10):
(5+sqrt(5))/10
≈0.72360679774997896964
Edge 5 (10):
1
Volume:
(8*sqrt(5)−5)/15
≈0.859236254666554504752