The icosahedron – 1

The golden mean reappears

The icosahedron is the polyhedron you get when you connect the corner tips of three intersecting golden rectangles.

Three intersecting golden rectanglesLines connecting the corner tips of the three intersecting golden rectangles
Golden rectangles removed revealing the remaining frame of the icosahedron

Here's the lamp in a rough, partially finished state. You can see the three golden rectangles outlined in maple, mahogany, and walnut. (Scale: a side of a triangle = 10".)

Icosahedron frame with golden rectangles inside

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Quick links to the dens in this rabbit hole:

  1. The golden mean reappears
  2. Relationship to dodecahedron
  3. Plato, Kepler, and Fuller
  4. Truncation
  5. The icosidodecahedron
  6. Symmetry
  7. Doing the math
  8. Recommended reading
  9. Numinosity – 2-fold symmetry
  10. Numinosity – Side view
  11. Numinosity – Front view
  12. Numinosity – 3D model


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Numinosity – Rabbit hole:
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