Rhombus 71
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{2}}{2} \right )} + \pi $ ≈ 109.4712°
- α2 : $ 2 \arctan{\left (\frac{\sqrt{2}}{2} \right )} $ ≈ 70.5288°
- α3 : $ - 2 \arctan{\left (\frac{\sqrt{2}}{2} \right )} + \pi $ ≈ 109.4712°
- α4 : $ 2 \arctan{\left (\frac{\sqrt{2}}{2} \right )} $ ≈ 70.5288°
Further Properties
This fillygon is a rhombus with short (d1) and long (d2) diagonals:
- d1 : $ \frac{2 \sqrt{3}}{3} $ ≈ 1.155
- d2 : $ \frac{2 \sqrt{6}}{3} $ ≈ 1.633
- d1 / d2 : $ \frac{\sqrt{2}}{2} $ ≈ 0.707
Dihedral angles:
- Minimal concave angle: 180.0000°
- Minimal convex angle: 90.0000°
Reversed edges: None
3D View
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Similar Shapes
Model Files
Available gap values:- 0.2mm: rhombus-71-filled-corners.stl
- 0.25mm: rhombus-71-filled-corners.stl
- 0.4mm: rhombus-71-filled-corners.stl
To download all files in one big package, see the download page.