Math Monday: Mathematical Beading
JUNE 7, 2010
Beading is a traditional craft which recently has been applied to make interesting mathematical models. Here are some impressive examples by Bih-Yaw Jin, starting with a beaded Mobius strip.
A beaded helical surface twists through space like a cork screw.
All five Platonic solids are shown here, using beads for their edges: octahedron, cube, tetrahedron, icosahedron, and dodecahedron.
This is a model of a high-genus Fullerene, which in principle could be synthesized from carbon atoms.
Given enough patience, this triply-periodic minimal surface could, in principle, be extended in all directions.