Tree of Spikeys

The tree structure shown has a stem of rhombic hexecontahedra (RHs). Additional RH branches are attached to each RH in the stem. The golden ratio appears in the structure: an RH consists of golden rhombuses; the sizes and the distances of the subsequent RHs in the tower are related to one another in the proportion of the golden ratio. The tilting angle is also related to the golden ratio. The total height of the infinite series of RHs in the stem is also related to the golden ratio.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


This Demonstration combines two earlier Demonstrations (see the Related Links).
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.