2023 Bridges Conference Art Exhibition
Hideki Tsuiki
Artists
Hideki Tsuiki
Professor of Mathematics and Computer Science
Kyoto University
Kyoto, Japan
Statement
In mathematics and many branches of science, it is common that conditions on local structures determine the overall shape. Our constructions of 2D / 3D Sierpinski gaskets from connector pieces provide examples of such phenomena.
Artworks
Constructions of the Sierpinski tetrahedron / triangle from connector pieces
25.0 x 50.0 x 50.0 cm
resin
2023
This model of the Sierpinski tetrahedron is composed of four corner pieces and connector pieces that are unions of two hexahedrons that are obtained by dividing a regular tetrahedron into four. Each connector piece has six magnets, and only approximations of the Sierpinski tetrahedron are constructed with these pieces (see the Bridges paper). The same construction for the 2D case will generate not only Sierpinski triangles (in blue), but also various tessellation patterns (in yellow and green) and other Sierpinski-like patterns (in red). The objects constructed with these pieces are exactly those generated by the cell-automaton with the rule "100, 001 -> 1, others -> 0".