Archive for August, 2012

Sproutology

Sprouts is a simple and delightfully subtle pencil-and-paper game for two players. The game is set up by marking a number of spots on a page. Each player makes a move by drawing a curve that joins two spots, or that loops from a spot back to itself, without crossing any lines drawn earlier, and then marking a new spot on the curve. Continue reading ‘Sproutology’

Analemmatic Sundials

This week’s That’s Maths article, TM003, describes the analemmatic sundial on the East Pier in Dun Laoghaire.

An article in Plus Magazine, by Chris Sangwin and Chris Budd, gives a description of  the theory of these sundials and instructions on how to build one.

A script to design an analemmatic sundial, written by  Alexander R. Pruss, is available here.  To run it, just enter the width of the sundial, the latitude and longitude, and the timezone. The script will generate all the required dimensions.

Here is a technical article, The Equation of Time and the Analemma (PDF), submitted to the Bulletin of the Irish Mathematical Society.

Napier’s Nifty Rules

Spherical trigonometry is not in vogue. A century ago, a Tripos student might resolve a half-dozen spherical triangles before breakfast. Today, even the basics of the subject are unknown to many students of mathematics. That is a pity, because there are many elegant and surprising results in spherical trigonometry. For example, two spherical triangles that are similar – having corresponding angles equal – have the same area. This contrasts sharply with the situation for plane geometry. Continue reading ‘Napier’s Nifty Rules’