Pentagonal icositetrahedron

Fillygon pentagonal-icositetrahedron filled

Basic Geometry

The 5 edge lengths are:
  • e1 : $ 1 $ ≈ 1.000
  • e2 : $ 1 $ ≈ 1.000
  • e3 : $ 1 $ ≈ 1.000
  • e4 : $ \frac{1}{2} + \frac{\mathrm{TribonacciConstant}}{2} $ ≈ 1.420
  • e5 : $ \frac{1}{2} + \frac{\mathrm{TribonacciConstant}}{2} $ ≈ 1.420
The 5 angles are:
  • α1 : $ \arccos{\left (- \frac{\mathrm{TribonacciConstant}}{2} + \frac{1}{2} \right )} $ ≈ 114.8121°
  • α2 : $ \arccos{\left (- \frac{\mathrm{TribonacciConstant}}{2} + \frac{1}{2} \right )} $ ≈ 114.8121°
  • α3 : $ \arccos{\left (- \frac{\mathrm{TribonacciConstant}}{2} + \frac{1}{2} \right )} $ ≈ 114.8121°
  • α4 : $ \arccos{\left (- \frac{\mathrm{TribonacciConstant}}{2} + \frac{1}{2} \right )} $ ≈ 114.8121°
  • α5 : $ \arccos{\left (- \mathrm{TribonacciConstant} + 2 \right )} $ ≈ 80.7517°
Fillygon geometry of pentagonal-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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