Math Trek
- Math
Mozart’s Melody Machine
Music publishing was a thriving trade during the latter part of the 18th century in Europe. Publishers vied with one another to print the works of the latest “hot” composer. Many of them looked for novel ways to entice new customers into their music shops. One such ploy was to publish systems that would allow […]
- Math
Art of Pursuit
The simple mathematical concept of a pursuit curve can serve as the starting point for creating wonderfully intricate artistic designs. Four “bugs” chasing one another produce an intriguing pattern of nested, rotated squares. Courtesy of John Sharp. Pursuit curves based on a star-shaped polygon. Courtesy of John Sharp. Example of a pattern in which the […]
- Math
Art of Pursuit
The simple mathematical concept of a pursuit curve can serve as the starting point for creating wonderfully intricate artistic designs. Four “bugs” chasing one another produce an intriguing pattern of nested, rotated squares. Courtesy of John Sharp. Pursuit curves based on a star-shaped polygon. Courtesy of John Sharp. Example of a pattern in which the […]
- Math
Art of Pursuit
The simple mathematical concept of a pursuit curve can serve as the starting point for creating wonderfully intricate artistic designs. Four “bugs” chasing one another produce an intriguing pattern of nested, rotated squares. Courtesy of John Sharp. Pursuit curves based on a star-shaped polygon. Courtesy of John Sharp. Example of a pattern in which the […]
- Math
Art of Pursuit
The simple mathematical concept of a pursuit curve can serve as the starting point for creating wonderfully intricate artistic designs. Four “bugs” chasing one another produce an intriguing pattern of nested, rotated squares. Courtesy of John Sharp. Pursuit curves based on a star-shaped polygon. Courtesy of John Sharp. Example of a pattern in which the […]
- Math
Art of Pursuit
The simple mathematical concept of a pursuit curve can serve as the starting point for creating wonderfully intricate artistic designs. Four “bugs” chasing one another produce an intriguing pattern of nested, rotated squares. Courtesy of John Sharp. Pursuit curves based on a star-shaped polygon. Courtesy of John Sharp. Example of a pattern in which the […]
- Math
Pursuing Pursuit Curves
A pursuit curve is the path an object takes when chasing another object. Such a path might result from a fox pursuing a rabbit or a missile seeking a moving target. This set of superimposed “snapshots” shows the lines of sight at regular intervals of four “bugs” chasing one another, all moving at the same […]
- Math
Acoustic Residues
There’s a surprising mathematical ingredient in the sound of many performing artists and recording stars. It manifests itself in the form of clusters of panels hanging on the walls of recording studios, concert halls, nightclubs, and other venues. Sculpted from wooden strips separated by thin aluminum dividers, each panel consists of an array of wells […]
- Math
Random Home Runs
For fans of major-league baseball, one of the highlights of the current season is the rate at which Barry Bonds of the San Francisco Giants is hitting home runs. Through June 25, Bonds has hit 39 home runs in 77 games, already setting the record for the most home runs before the all-star break in […]
- Math
Bubbles and Math Olympiads
Predicting the geometric shapes of soap bubble clusters can lead to surprisingly difficult mathematical problems. Which one of these two configurations of five planar bubbles of equal area has the smaller total perimeter? The more symmetric candidate isn’t always the winner. Frank Morgan Frank Morgan of Williams College in Williamstown, Mass., recently illustrated such difficulties […]
- Math
Bubbles and Math Olympiads
Predicting the geometric shapes of soap bubble clusters can lead to surprisingly difficult mathematical problems. Which one of these two configurations of five planar bubbles of equal area has the smaller total perimeter? The more symmetric candidate isn’t always the winner. Frank Morgan Frank Morgan of Williams College in Williamstown, Mass., recently illustrated such difficulties […]
- Math
Möbius Accordion
Artist Susan Happersett of Jersey City, N.J., has come up with a novel twist on the venerable Möbius strip: a playful, eye-catching creation she describes as a Möbius accordion. Happersett Accordion Susan Happersett Thirteen Original Colonies. Susan Happersett Happersett Accordion Susan Happersett A Möbius strip, or band, is the remarkable one-sided surface that results from […]
