Simon’s Rhombi Numberline

Simon has made a system that explains how to construct bigger 3D-objects using smaller ones. For example, in the first video he constructs Cuboctahedron using:

  • cube (6 squares)
  • octahedron (8 triangles)

and a Rhombicubeoctahedron by adding 12 squares.

In the next video things are getting more complicated as Simon shows how to construct a Rhombicosidodecahedron from:

  • cube (6 squares)
  • cube (24 squares)
  • dodecahedron (12 pentagons)
  • icosahedron (20 triangles)

but why is 1 cube with 6 squares and 1 with 24 squares?

Because all cubes are different sizes.

  1. 4 squares became a big square.
  2. The cubes are different sizes because 4 cubes became a big cube