Other Solids

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

Escher's Solid
Vertices:  26  (12[4] + 8[6] + 6[8])
Faces:48  (isosceles triangles)
Edges:72  (48 short + 24 long)
Symmetry:  Full Octahedral  (Oh)
(values below based on long edge length = 1)
Short Edge (48):  sqrt(3)/2    ≈0.86602540378443864676
Long Edge (24):  1
[4]-Vertex Radius (12):  sqrt(2)    ≈1.4142135623730950488
[6]-Vertex Radius (8):  sqrt(3)/2    ≈0.86602540378443864676
[8]-Vertex Radius (6):  1
Volume:4


References:[1]Escher's Solid (Wolfram MathWorld)
[2]M. C. Escher, Waterfall, Lithograph (1961)