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Mathematical Impressions: Long Sword Dancing [Video]
This art form produces stable patterns of interwoven segments that are mathematically rich
Stories by George Hart
Mathematical Impressions: Spontaneous Stratification [Video]
Why does a mixture of sand and colored sugar spontaneously separate when poured?
Mathematical Impressions: The Bicycle Pulling Puzzle
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...
The Mathematics of Change Ringing and Peal Bells
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...
Mathematical Impressions: Making Music with a Möbius Strip
Musical chords naturally inhabit certain topological spaces, which show the possible paths that a composer can use to move between chords
Mathematical Impressions: Goldberg Polyhedra [Video]
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...
Follow That Bike!
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
Mathematical Impressions: An Exploration of Symmetric Structures [Video]
Objects with icosahedral symmetry occur in nature only at microscopic scales, including quasicrystals, many viruses and some beautiful protozoa in the radiolarian family
The Real Power of Crystals: Attesting to Atoms [Video]
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
Mathematical Impressions: The Surprising Menger Sponge Slice [Video]
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
Mathematical Impressions: Can You Turn a Rubber Band into a Knot? [Video]
Theory suggests it is impossible, but geometer George Hart shows that the band's thickness can help you solve this puzzle
