SacredForm Open the app

Platonic Solids · 3D

Golden Rectangles

Three φ rectangles inside the icosahedron

Golden Rectangles, drawn as a glowing line figure

Three golden rectangles (sides 1 : φ) interlocked at right angles. Their twelve corners are exactly the vertices of the icosahedron.

Rectangles
3
Ratio
1 : φ
Corners
12

Open in SacredForm

Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane.

Facts

  • Each rectangle passes through the other two, like Borromean rings.
  • Coordinates: cyclic permutations of (0, ±1, ±φ).
  • Le Corbusier’s Modulor and many facades are built on golden rectangles.

Learn it step by step

Related figures