| Vertices: | 48 (48[3]) |
| Faces: | 26 (12 squares + 8 regular hexagons + 6 regular octagons) |
| Edges: | 72 |
| Symmetry: | Full Octahedral (Oh) |
| Octagon-Hexagon Angle: | acos(−sqrt(3)/3) | ≈125.264389683 degrees |
| Octagon-Square Angle: | acos(−sqrt(2)/2) | 135 degrees |
| Hexagon-Square Angle: | acos(−sqrt(6)/3) | ≈144.735610317 degrees |
| Dual Solid: | Disdyakis Dodecahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(13+6*sqrt(2))/2 | ≈2.3176109128927665138 |
| Midscribed Radius: | sqrt(6*(2+sqrt(2)))/2 | ≈2.2630334384537146236 |
| Octagon Center Radius: | (1+2*sqrt(2))/2 | ≈1.9142135623730950488 |
| Hexagon Center Radius: | (sqrt(3)+sqrt(6))/2 | ≈2.0907702751760276959 |
| Square Center Radius: | (3+sqrt(2))/2 | ≈2.2071067811865475244 |
| Volume: | 22+14*sqrt(2) | ≈41.798989873223330683 |
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