## Prime Phyllotaxis Spirals

The phyllotaxis spiral is one of the classical forms of mathematics, and there is a wonderland of resources available online both images and explanations. The basic idea is to put points round in… Continue reading

## 2+2 = 1? Patterns in Modular arithmetic

When someone is talking about the absolute truth of mathematics and declares that once you have defined 2 and +, then 2+2 must equal 4, there is a slightly glib response: but 2+2… Continue reading

## Mathematical Scales

Thanks to the move to the US, my son has a new piano teacher. He is playing at an advanced level, beyond grade 8 (for the UK audience), with pieces by Bach, Mozart… Continue reading

## Use of Mathematics and Hyperscopes

The new “Use of Mathematics” A-level has been hotly debated recently. I would like to start by saying that I agree that things need to be done on this topic. There are some… Continue reading

## Unscheduled Post: The Silver Ratio

John Cook on The Endeavour has just mentioned the wonderful silver ratio. As this is probably my favourite number I can’t resist the chance to put up some pictures. The silver ratio: ,… 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