Pentagonal icositetrahedron

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°

Further Properties

Dihedral angles:

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

Reversed edges: None

3D View

Show model in 3D viewer.

Similar Shapes

Pentagonal icositetrahedron

normal

Pentagonal icositetrahedron

corners

Pentagonal icositetrahedron

filled-corners

Model Files

• 0.2mm: pentagonal-icositetrahedron-filled.stl
• 0.25mm: pentagonal-icositetrahedron-filled.stl
• 0.4mm: pentagonal-icositetrahedron-filled.stl

To download all files in one big package, see the download page.