Statement

I received a Ph.D. in mathematics from Johns Hopkins. For most of my career I taught high school math in Waldorf schools, where the pedagogy encourages the bridging of mathematics and art. I'm now retired. The Platonic solids are quite simple geometric forms, and yet, as one contemplates them and builds up and holds the forms in one’s imagination, they become quite captivating. The centre point has a polar plane (in the sense of projective geometry), which is the plane at infinity. One can imagine the form carved out by planes and lines coming in from the infinitely distant periphery. The model shown here is designed to suggest shapes that are not solid blocks, but rather created by lines and planes coming from the periphery.

Artworks

Image for entry 'Extended Icosahedron'

Extended Icosahedron

40.0 x 40.0 x 40.0 cm

mat board, beading string, brass

2025

20 planes come in from the infinitely distant periphery and slice through a sphere to create a tiny icosahedron in the centre. The black strings are the extended edges of the icosahedron.