Republic of Mathematics blog

Archive for April 2013

A cute discrete dynamical system

Posted by: Gary Ernest Davis on: April 17, 2013

Jim Tanton (@jamestanton) posed the problem of 6 positive integers such that the product of any two of them is a multiple of their sum (preferably 6 integers with no common factors). Inspired by Jim’s question I asked myself what happens for 3 integers. This led to the following simple dynamical system: Given a triple […]

Mathematics is not a spectator sport

Posted by: Gary Ernest Davis on: April 13, 2013

In the video below, Aziz Belhassane Sensei is demonstrating Aikido at the Sugano Shihan Memorial Summer School 2011. Whether you know Aikido or not, the thing you will notice, especially if I point it out to you, is that Aikido is not a spectator activity. You cannot learn Aikido simply by watching someone else. Watching is critical, paying attention is critical, but doing is the essence. Currently […]