Mathematical Impressions: Art Imitates Math The art exhibition at the annual Bridges Conference showcases a wide range of artworks inspired by mathematical thinking.
Mathematical Impressions: Regular Polylinks A video illustrating the beautiful geometry behind symmetrical linkages of regular polygons.
Mathematical Impressions: Bicycle Tracks A nice mathematical puzzle, with a solution anyone can understand, is to determine the direction a bicycle went when you come upon its tracks. The answer involves thinking about tangent…
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.
Mathematical Impressions: The Golden Ratio The golden ratio is greatly hyped, partly for its beautiful mathematical properties but also for nonsensical reasons. Distinguishing between the two requires understanding that mathematics is about structures and relationships,…
Mathematical Impressions: Printing 3-D Models George Hart describes in this video how to create physical models of mathematical objects, surveying some examples of surfaces and polytopes.
Mathematical Impressions: Attesting to Atoms Can you combine simple observations and mathematical thinking to show that atoms exist?
Mathematical Impressions: Change Ringing 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…
Mathematical Impressions: Spontaneous Stratification Why does a mixture of sand and colored sugar spontaneously separate when poured?
Mathematical Impressions: Curved and Straight? The elliptic hyperboloid is a beautiful quadratic surface that is “doubly ruled,” meaning that the surface, although curved, contains two straight lines through each point.