Jan de Koning

Rotterdam Netherlands

During the first part of my career I worked, successively, as a carpenter, a woodworker and a furniture designer.
It was after my 45th birthday that I became fascinated by the Platonic Solids and started wondering how they could be materialized. Nowadays I design and make mathematical objects, puzzles and building boxes. I prefer wood but I also work with other materials, like acrylic and paper.

Platonic in dissections
Platonic in dissections
5 / 15x15x15cm.

In his “Timaeus” Plato considers the triangle as the origin of everything. I divided the five Platonic Solids by means of the perpendiculars of their faces, and connected those lines with the center points of the solids. In this way 360 (!) irregular tetrahedra are materialized.
The dissections of folded paper I put in clear acrylic boxes -- the Platonics -- with identical circumspheres. Thus:
– the tetrahedron consists of 24 irregular tetrahedrons: twelve right- and twelve lefthanded ones;
– the hextahedron, as well as the octahedron, consists of 48 irregular tetrahedrons: 24 right- and 24 lefthanded
– the dodecahedron and the icosahedron each consist of 60 right- and 60 lefthanded irregular tetrahedrons.