Triakis octahedron

Fillygon triakis-octahedron normal

Basic Geometry

The 3 edge lengths are:
  • e1 : $ \frac{\sqrt{2}}{2} + 1 $ ≈ 1.707
  • e2 : $ 1 $ ≈ 1.000
  • e3 : $ 1 $ ≈ 1.000
The 3 angles are:
  • α1 : $ \arccos{\left (\frac{\sqrt{2}}{4} + \frac{1}{2} \right )} $ ≈ 31.3997°
  • α2 : $ \arccos{\left (\frac{\sqrt{2}}{4} + \frac{1}{2} \right )} $ ≈ 31.3997°
  • α3 : $ - 2 \arccos{\left (\frac{\sqrt{2}}{4} + \frac{1}{2} \right )} + \pi $ ≈ 117.2006°

Further Properties

Dihedral angles:

  • Minimal concave angle: 75.0000°
  • Minimal convex angle: 75.0000°

Reversed edges: None

Similar Shapes

Model Files

Available gap values:

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