Rhombus 76

Fillygon rhombus-76 normal

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{15}}{5} \right )} + \pi $ ≈ 104.4775°
  • α2 : $ 2 \arctan{\left (\frac{\sqrt{15}}{5} \right )} $ ≈ 75.5225°
  • α3 : $ - 2 \arctan{\left (\frac{\sqrt{15}}{5} \right )} + \pi $ ≈ 104.4775°
  • α4 : $ 2 \arctan{\left (\frac{\sqrt{15}}{5} \right )} $ ≈ 75.5225°
Fillygon geometry of rhombus-76

Further Properties

This fillygon is a rhombus with short (d1) and long (d2) diagonals:

  • d1 : $ \frac{\sqrt{6}}{2} $ ≈ 1.225
  • d2 : $ \frac{\sqrt{10}}{2} $ ≈ 1.581
and diagonal ratio:
  • d1 / d2 : $ \frac{\sqrt{15}}{5} $ ≈ 0.775

Dihedral angles:

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

Reversed edges: None

3D View

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Similar Shapes

Model Files

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