Rhombus 63

Fillygon rhombus-63 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{1}{\phi} \right )} + \pi $ ≈ 116.5651°
  • α2 : $ 2 \arctan{\left (\frac{1}{\phi} \right )} $ ≈ 63.4349°
  • α3 : $ - 2 \arctan{\left (\frac{1}{\phi} \right )} + \pi $ ≈ 116.5651°
  • α4 : $ 2 \arctan{\left (\frac{1}{\phi} \right )} $ ≈ 63.4349°

Further Properties

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

  • d1 : $ \frac{2}{\sqrt{1 + \phi^{2}}} $ ≈ 1.051
  • d2 : $ \frac{2 \phi}{\sqrt{1 + \phi^{2}}} $ ≈ 1.701
and diagonal ratio:
  • d1 / d2 : $ \frac{1}{\phi} $ ≈ 0.618

Dihedral angles:

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

Reversed edges: None

Similar Shapes

Model Files

Available gap values:

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