Pentakis dodecahedron

Fillygon pentakis-dodecahedron normal

Basic Geometry

The 3 edge lengths are:
  • e1 : $ \frac{38}{3 \sqrt{5} + 27} $ ≈ 1.127
  • e2 : $ 1 $ ≈ 1.000
  • e3 : $ 1 $ ≈ 1.000
The 3 angles are:
  • α1 : $ \arccos{\left (\frac{19}{3 \sqrt{5} + 27} \right )} $ ≈ 55.6906°
  • α2 : $ \arccos{\left (\frac{19}{3 \sqrt{5} + 27} \right )} $ ≈ 55.6906°
  • α3 : $ - 2 \arccos{\left (\frac{19}{3 \sqrt{5} + 27} \right )} + \pi $ ≈ 68.6187°

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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