This art form produces stable patterns of interwoven segments that are mathematically rich
Why does a mixture of sand and colored sugar spontaneously separate when poured?
If you pull straight back on the lower pedal of your bicycle, will the bike move forward or backward? This classic puzzle has a surprising twist...
Change ringing, in which a band of ringers plays long sequences of permutations on a set of peal bells, is a little-known but surprisingly rich and beautiful acoustical application of mathematics...
Musical chords naturally inhabit certain topological spaces, which show the possible paths that a composer can use to move between chords
Because of their aesthetic appeal, organic feel and easily understood structure, Goldberg polyhedra have a surprising number of applications ranging from golf-ball dimple patterns to nuclear-particle detector arrays...
The direction a bicycle has traveled can be determined by examining its tracks and thinking about tangent lines, geometric constraints and the bike's steering mechanism
Objects with icosahedral symmetry occur in nature only at microscopic scales, including quasicrystals, many viruses and some beautiful protozoa in the radiolarian family
The exact angles of crystals reveals their underlying structure as given by repeating lattices of atoms and molecules, as explained in this video by geometer George Hart
What happens when this well-studied cube-like fractal is sliced on a diagonal plane? Try to predict the solution the puzzle before minute 3:25 in this video
Theory suggests it is impossible, but geometer George Hart shows that the band's thickness can help you solve this puzzle