Artists

Jan de Koning

Artist

Rotterdam Netherlands

jandekoning@xs4all.nl

http://Mathmaker.nl

Statement

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.

Artworks

Image for entry 'Platonic in dissections'

Platonic in dissections

5 / 15x15x15cm.

Acrylic-paper

2014

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 ones; – the dodecahedron and the icosahedron each consist of 60 right- and 60 lefthanded irregular tetrahedrons.