Catalogue

A thumbnail catalogue of current designs and colour variants – click on an illustration for a larger version. Click on a section heading to see background information for that particular design.

Multiplication in algebra

Drawing a diagram of an algebraic multiplication can often demystify the process…   more >>>

A visual representation of multiplication in algebra

What is a derivative?

This simple, elegant design illustrates a crucial and revolutionary discovery in mathematics – the derivative and its close cousin, the infinitesimal calculus…   more >>>

A visual representation of derivatives (art print)

The Fibonacci rectangles

A visual exploration of a strange sequence of numbers that crops up in the most unlikely places…   more >>>Visual representation of the Fibonacci series (art print)

Fractal rectangle & Koch star

Some of the fascinating qualities of fractals are displayed in the increasingly complex rectangle of this design…   more >>>A fractal shape in the form of rectangles (art print)

A fractal shape known as the Koch Star (art print)

Golden ratio circles

Another example of a design springing from my fascination with the Golden Ratio series. In a simple design which can be created using nothing more that a ruler and compass, we explore this strange value…   more >>>

Nautilus based on square roots

Complex structures and difficult numbers can often be based on simple actions, as this elegant shape illustrates…   more >>>Nautilus built up from square roots (art print)

The nine point circle

A surprising and neat result anyone can obtain using nothing more than a ruler and compass…   more >>>Nine point circle - sometimes called Euler’s circle or Feuerbach’s circle (art print)

One ring to rule them all

Draw three points on a piece of paper. How many circles can you draw which take in all three points. One, and one only. And this design illustrates why…   more >>>

Only one circle can touch three points in a plane (art print)

Only the good die young

This design is a little bit of fun but it also has serious purpose. It shows that the use of simple diagrams can help to clarify an idea that words have confused. They could be described as Venn diagrams except that they are so simple that they make no real use of the special qualities of John Venn’s invention, which dates from the 1880s.

It also serves to illustrate the way the vital word ‘if’ is used in mathematical thinking…   more >>>What does 'Only the good die young' actually mean? {art print)

Pi me a river

It’s often claimed that there’s a surprising relationship between the length of rivers and the strange number we call pi. Actually it’s not true – but  this  design does reveal a surprising truth…   more >>>ddx site catalogue - Pi me a river

Pi sticks

A few lines on a piece of paper and a needle are enough to begin calculating the mysterious value ‘pi’…   more >>>

ddx-site-catalogue-pi-sticks

Primes in 1000

Detecting patters in prime numbers, the building blocks on which all other numbers are based is a fascinating but probably pointless hobby. Still, who can resist…   more >>>

Primes-1000-catalogue

Proof of Pythagoras

You probably know Pythagoras’ Theorem, but could you describe how it works? With this elegant design on the wall, you soon will…   more >>>ddx site catalogue - Pythagoras

Rectangles in a Triangle

An apparently simple problem leads to some tricky questions…   more >>>ddx site catalogue - Rectangles in Triangles

Sin, cos and tan waves

For many years I found those curves that appeared on the old oscilloscopes a slippery thing. How were they ‘sine waves’ and what on earth did it mean when people said that two wave forms were ’90 degrees out of phase’.

It helped when it first dawned on me what simple concepts sines and cosines actually were. But still… ’90 degrees out of phase’?

So I like this design for its liveliness, for the neatness of the concept embodied in the small icons and, not least, because when I look at it sets my mind at rest…   more >>>

ddx site catalogue - sin cos tan curves

Sines, cosines and tangents

When something is widely used, often in dense and complex expressions, it can be easy to forget that it’s actually very simple. So it is with sines and cosines…   more >>>

Sine,-cosine,-tangent-catalogue

The Sieve of Eratosthenes

An ancient method of finding prime numbers that is still in use today…   more >>>The Sieve of Eratosthenes

Triangles and squares

Demystifying square numbers…   more >>>

Triangle-and-square-catalogue

Where mathematics becomes an object of desire.