Category Archive: Mathematics

Unscheduled Post: Hyperbolic Polydron

What happens when you put seven equilateral triangles round a point?   Inspired by sumidiot who was himself inspired by division by zero who were making paper hyperbolic soccer balls, I thought I would put… Continue reading

WoW 3: Integer Sequences

Having had a couple of more obscure sites, I thought I would put in an absolute classic: The Encyclopedia of Integer Sequences.  This wonderful resource shows the immense power of online databases.  A geeky… Continue reading

Angle sum formulae

Only a short post this week.  I am on holiday for a few days from tomorrow.  Yippee! In playing with algebraic equations I found myself wanting the angle sum formulae: Being a forgetful… Continue reading

Unscheduled Post: Visualising 3D

I cannot resist replying to a post in Cosmic Variance: Why Can’t We Visualize More Than Three Dimensions? The comments section says much of this already, in addition to the wonderful: Your better off… Continue reading

WoW 2: vZome

The new website of the week: This week we have cowinners.  First one to realise gets the prize!  If you have found my ramblings of interest then you probably already know the zometool… Continue reading

Surfaces 2: Algebraic Surfaces

Some exploration of algebraic surfaces and how to design them.

WoW 1: Perspective Carpark

Without further ado, the first winner: Images of the Eureka Tower carpark in Melbourne. Axel Peemöller uses perspective drawing to create directions that are very large, yet only readable from the directions in which they… Continue reading

Unscheduled Post: Faster than the speed of wind

Terence Tao has a beautiful analysis of sailing, in particular: One of the more unintuitive facts about sailing is that it is possible to harness the power of the wind to sail in a direction against that… Continue reading

Surfaces 1: The ooze of the past

Curves and surfaces are a wonderful visual representation of mathematics. They can move from the simple and profound to the complex and intriguing. They have even been accused of being part of a sinister plot. In addition the mathematics behind them is becoming increasingly useful in many areas, algebraic statistics for example.

Polymath

Finally a new mathematics post!.   I have been holding out on commenting on the fascinating polymath project for a while, even though it touches on my central topics of maths and communication.… Continue reading

Eigenfactor

A short, and late post this week, general chaos in my life is to blame.  Unfortunately the busy sort, not the simply disorganised sort.   In my previous post I talked about strengthening… Continue reading

Responsibility of Mathematicians

This week, my apologies, the post is a little late.  However I have an excuse!  I wanted to put the piece below out, but wanted to make sure that it had been published… Continue reading