Simple Divisions of 3d Space
The five Platonic Solids may be represented in various ways.
The ‘excavated’ forms implicitly divides three-dimensional (Euclidean) space in 4,6,8,12 and 20 equal pyramidal parts.
The Platonic Solids and the Human Form
This video introduces the excavated forms of the Archimedean Solids, illustrates the kind of discoveries to be made when studying them and shows the remarkable
coincidence – concinnity – of the edge-radius ratios of two of the solids and the ratios implicit in the human form.
N.B Mr John Styles of Pinner Photography is an eminent Irishman, and his clients do not leave his studio without hearing some good jokes!
