4 gon phi

Fillygon 4-gon-phi filled-corners

Basic Geometry

The 4 edge lengths are:
  • e1 : $ \phi $ ≈ 1.618
  • e2 : $ \phi $ ≈ 1.618
  • e3 : $ \phi $ ≈ 1.618
  • e4 : $ \phi $ ≈ 1.618
The 4 angles are:
  • α1 : $ \frac{\pi}{2} $ ≈ 90.0000°
  • α2 : $ \frac{\pi}{2} $ ≈ 90.0000°
  • α3 : $ \frac{\pi}{2} $ ≈ 90.0000°
  • α4 : $ \frac{\pi}{2} $ ≈ 90.0000°
Fillygon geometry of 4-gon-phi

Further Properties

This fillygon is a regular n-gon.

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

  • d1 : $ \sqrt{2} \phi $ ≈ 2.288
  • d2 : $ \sqrt{2} \phi $ ≈ 2.288
and diagonal ratio:
  • d1 / d2 : $ 1 $ ≈ 1.000

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

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