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 By George Hart A video illustrating the beautiful geometry behind symmetrical linkages of regular polygons.
Mathematical Impressions: Bicycle Tracks By George Hart 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 By George Hart 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 By George Hart 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 By George Hart 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 By George Hart Can you combine simple observations and mathematical thinking to show that atoms exist?
Mathematical Impressions: Change Ringing By George Hart 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: Knot Possible? By George Hart The mathematics of knot theory says that a simple loop and a trefoil are fundamentally different knots. But is that all there is to the question?
Mathematical Impressions: Long Sword Dancing By George Hart How do long sword dances produce stable patterns of interwoven segments? What are the possible variations? Explore the mathematics of this traditional art form.