Deltoidal hexecontahedron

Fillygon deltoidal-hexecontahedron normal

Basic Geometry

The 4 edge lengths are:
  • e1 : $ 1 $ ≈ 1.000
  • e2 : $ 1 $ ≈ 1.000
  • e3 : $ \frac{\sqrt{5}}{6} + \frac{7}{6} $ ≈ 1.539
  • e4 : $ \frac{\sqrt{5}}{6} + \frac{7}{6} $ ≈ 1.539
The 4 angles are:
  • α1 : $ \arccos{\left (- \frac{\sqrt{5}}{5} + \frac{1}{2} \right )} $ ≈ 86.9742°
  • α2 : $ \arccos{\left (- \frac{1}{4} - \frac{\sqrt{5}}{10} \right )} $ ≈ 118.2687°
  • α3 : $ \arccos{\left (- \frac{\sqrt{5}}{5} + \frac{1}{2} \right )} $ ≈ 86.9742°
  • α4 : $ \arccos{\left (- \frac{1}{8} + \frac{9 \sqrt{5}}{40} \right )} $ ≈ 67.7830°

Further Properties

Dihedral angles:

  • Minimal concave angle: 38.0000°
  • Minimal convex angle: 38.0000°

Reversed edges: None

Similar Shapes

Model Files

Available gap values:

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