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: 180.0000°
- Minimal convex angle: 90.0000°
Reversed edges: None
3D View
Show model in 3D viewer.
Similar Shapes
Model Files
Available gap values:- 0.2mm: pentagonal-icositetrahedron-filled-corners.stl
- 0.25mm: pentagonal-icositetrahedron-filled-corners.stl
- 0.4mm: pentagonal-icositetrahedron-filled-corners.stl
To download all files in one big package, see the download page.