Triakis icosahedron

Fillygon triakis-icosahedron normal

Basic Geometry

The 3 edge lengths are:
  • e1 : $ \frac{22}{- \sqrt{5} + 15} $ ≈ 1.724
  • e2 : $ 1 $ ≈ 1.000
  • e3 : $ 1 $ ≈ 1.000
The 3 angles are:
  • α1 : $ \arccos{\left (\frac{11}{- \sqrt{5} + 15} \right )} $ ≈ 30.4803°
  • α2 : $ \arccos{\left (\frac{11}{- \sqrt{5} + 15} \right )} $ ≈ 30.4803°
  • α3 : $ - 2 \arccos{\left (\frac{11}{- \sqrt{5} + 15} \right )} + \pi $ ≈ 119.0394°

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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