| Vertices: | 62 (8[3] + 24[3] + 6[4] + 24[5]) |
| Faces: | 60 (24 kites + 36 rhombi) |
| Edges: | 120 (96 short + 24 long) |
| Symmetry: | Chiral Octahedral (O) |
| Long Edge Angle: | acos(−(cbrt(19+3*sqrt(33))
+cbrt(19−3*sqrt(33))−2)/3) | ≈147.064879199 degrees |
| Short Edge Angle: | acos(−(1+cbrt(19+3*sqrt(33))
+cbrt(19+3*sqrt(33)))/6) | ≈156.874001739 degrees |
| (values below based on unit-edge-length Snub Cube) |
| Short Edge (96): | sqrt(6*(10−cbrt(2*(13+3*sqrt(33)))
−cbrt(2*(13−3*sqrt(33)))))/12 | ≈0.581420916535292358953 |
| Long Edge (24): | sqrt(6*(6+cbrt(6*(9+sqrt(33)))
+cbrt(6*(9−sqrt(33)))))/12 | ≈0.74018374136985722281 |
| Rhombus Length: | 1 |
| Rhombus Width: | sqrt(6*(4−cbrt(2*(13+3*sqrt(33)))
−cbrt(2*(13−3*sqrt(33)))))/6 | ≈0.593465355971987310502 |
| Kite Length: | sqrt(3*(4+cbrt(19+3*sqrt(33))
+cbrt(19−3*sqrt(33))))/6 | ≈0.8425091624448604672504 |
| Kite Width: | 1 |
| [3]-Vertex Radius (8): | sqrt(2*(6+cbrt(6*(9+sqrt(33)))
+cbrt(6*(9−sqrt(33)))))/4 | ≈1.2820358469890142117 |
| [3]-Vertex Radius (24): | sqrt(2*(6+cbrt(6*(9+sqrt(33)))
+cbrt(6*(9−sqrt(33)))))/4 | ≈1.2820358469890142117 |
| [4]-Vertex Radius (6): | sqrt(6*(14+cbrt(2*(1777+33*sqrt(33)))
+cbrt(2*(1777−33*sqrt(33)))))/12 | ≈1.361410151926442534501 |
| [5]-Vertex Radius (24): | sqrt(3*(10+cbrt(199+3*sqrt(33))
+cbrt(199−3*sqrt(33))))/6 | ≈1.3437133737446017013 |
| Inscribed Radius: | sqrt(3*(7+cbrt(199+3*sqrt(33))
+cbrt(199−3*sqrt(33))))/6 | ≈1.2472231679936432518 |
| Volume: | sqrt(116+6*cbrt(2*(1777+33*sqrt(33)))
+6*cbrt(2*(1777−33*sqrt(33))))/2 | ≈8.64429023481174285147 |