Geoff

is a student living in Kingston, Ontario.
The Golden Rule in the Wild

The Golden Rule in the Wild

In the previous post, we discussed the Prisoner’s Dilemma and saw how a simple strategy called Tit-for-Tat enforced the Golden Rule and won a very interesting contest. But does Tit-for-Tat always come out on top? The most confounding thing about the strategy is that it can never win – at best, it can only tie [...]

Triumph of the Golden Rule

Triumph of the Golden Rule

Almost every decision we make involves someone else in one way or another, and we face a constant choice. Should we take advantage of them, go for the quick score and hope we never see them again – or should we settle for a more reasonable reward, co-operating in the hope that this peaceful relationship will continue long into the future?

Sierpin-Skiing

Sierpin-Skiing

Ski lift operators have proved that it’s not only conidae snails who can produce the Sierpinski triangle in their natural environment.

Reality, Morality, Controversy and Consensus in Philosophy

Reality, Morality, Controversy and Consensus in Philosophy

A philosophy website recently conducted a very interesting survey about some of these greatest standing questions in philosophy.

Norway's Spiral in the Sky

Norway’s Spiral in the Sky

Early one morning, citizens in northern Norway awoke to an amazing sight – a giant glowing spiral, taking up a huge portion of the night sky.

The Quaternion Bulb

The Quaternion Bulb

My three dimensional unfolding of the quaternion Julia sets finally finished rendering.

A Quaternion Fractal Chorus

A Quaternion Fractal Chorus

This undulating plane is a visualization of all quaternion Julia sets.

Save Face With Facebank

Save Face With Facebank

Japan’s consumer goods lived up to their surreal billing during a recent stay at Narita Airport in Japan on my way to IAC 2009.

Quaternion Julia Fractals

Quaternion Julia Fractals

These beautiful shapes are three dimensional slices of four dimensional objects known as quaternion Julia sets.

I See Sierpinski Shapes by the Sea Shore

I See Sierpinski Shapes by the Sea Shore

The patterns on this sea shell appear to be very similar to that of a mathematical structure called a Sierpinski triangle.