Rhombus 78
![Fillygon rhombus-78 filled-corners](../../models/rhombus-78/filled-corners.png)
Basic Geometry
The 4 edge lengths are:
- e1 : $ 1 $ ≈ 1.000
- e2 : $ 1 $ ≈ 1.000
- e3 : $ 1 $ ≈ 1.000
- e4 : $ 1 $ ≈ 1.000
The 4 angles are:
- α1 : $ - 2 \arctan{\left (\frac{\sqrt{- \sqrt{5} + 7}}{\sqrt{\sqrt{5} + 5}} \right )} + \pi $ ≈ 101.8887°
- α2 : $ 2 \arctan{\left (\frac{\sqrt{- \sqrt{5} + 7}}{\sqrt{\sqrt{5} + 5}} \right )} $ ≈ 78.1113°
- α3 : $ - 2 \arctan{\left (\frac{\sqrt{- \sqrt{5} + 7}}{\sqrt{\sqrt{5} + 5}} \right )} + \pi $ ≈ 101.8887°
- α4 : $ 2 \arctan{\left (\frac{\sqrt{- \sqrt{5} + 7}}{\sqrt{\sqrt{5} + 5}} \right )} $ ≈ 78.1113°
Further Properties
This fillygon is a rhombus with short (d1) and long (d2) diagonals:
- d1 : $ \frac{\sqrt{3} \sqrt{- \sqrt{5} + 7}}{3} $ ≈ 1.260
- d2 : $ \frac{\sqrt{3} \sqrt{\sqrt{5} + 5}}{3} $ ≈ 1.553
- d1 / d2 : $ \frac{\sqrt{- \sqrt{5} + 7}}{\sqrt{\sqrt{5} + 5}} $ ≈ 0.811
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: rhombus-78-filled-corners.stl
- 0.25mm: rhombus-78-filled-corners.stl
- 0.4mm: rhombus-78-filled-corners.stl
To download all files in one big package, see the download page.