Deltoidal icositetrahedron

Fillygon deltoidal-icositetrahedron filled

Basic Geometry

The 4 edge lengths are:
  • e1 : $ 1 $ ≈ 1.000
  • e2 : $ 1 $ ≈ 1.000
  • e3 : $ - \frac{\sqrt{2}}{2} + 2 $ ≈ 1.293
  • e4 : $ - \frac{\sqrt{2}}{2} + 2 $ ≈ 1.293
The 4 angles are:
  • α1 : $ \arccos{\left (- \frac{\sqrt{2}}{4} + \frac{1}{2} \right )} $ ≈ 81.5789°
  • α2 : $ \arccos{\left (- \frac{1}{4} - \frac{\sqrt{2}}{8} \right )} $ ≈ 115.2632°
  • α3 : $ \arccos{\left (- \frac{\sqrt{2}}{4} + \frac{1}{2} \right )} $ ≈ 81.5789°
  • α4 : $ \arccos{\left (- \frac{\sqrt{2}}{4} + \frac{1}{2} \right )} $ ≈ 81.5789°
Fillygon geometry of deltoidal-icositetrahedron

Further Properties

Dihedral angles:

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

Reversed edges: None

3D View

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Similar Shapes

Model Files

Available gap values:

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