George Hart

Chief of Content
Museum of Mathematics
New York, NY

Sculpture can be a direct means for exposing the naked beauty of mathematics to the world.

Four Sierpinskis
Four Sierpinskis
3" x 3" x 3"
Nylon (selective laser sintering)

Four Sierpinski triangles interweave in three dimensions, each linked with, but not touching, the other three. The twelve outer vertices are positioned as the vertices of an Archimedean cuboctahedron and the black support frame is the projection of this cuboctahedron to the circumsphere. These are fifth-level Sierpinski triangles, i.e., there are five different sizes of triangular holes. The strut diameters were made to vary with the depth of recursion, giving a visual and tactile sense of this depth. This hand-painted maquette is intended as a model for a possible large outdoor sculpture.