Maths Wall Art

Maths Wall Art

There is a version of maths wall art that treats mathematics as decoration - colourful fractals, equations written in chalk fonts, posters that say things like "mathematics: the language of the universe." These are fine, but they are about the idea of mathematics rather than any specific piece of it.

The Axisophy Signature series does something different. Each print begins with a specific mathematical object - a prime number distribution, a fractal construction, a number-theoretic spiral - and renders it at high resolution. The result is a piece of wall art that contains actual mathematics, not just the aesthetic of it.

Ulam Spiral

In 1963, Stanislaw Ulam was doodling during a meeting and started writing the natural numbers in a spiral. He noticed that the prime numbers formed diagonal lines. This was unexpected enough that he and colleagues investigated it seriously. More than sixty years later, the diagonal patterns are not fully explained.

The Axisophy Ulam spiral maps the primes across a large grid, making the diagonal alignments unmistakable. It is the rare visualisation that is genuinely more informative than the equation.

Apollonian Gasket

Start with three mutually tangent circles. In each gap, fit the largest circle that fits. Repeat indefinitely. The result - the Apollonian gasket - connects the ancient Greek geometry of Apollonius of Perga to number theory discovered by Descartes and extended by Soddy in the twentieth century. The curvatures of the circles in any Apollonian gasket follow integer relationships: if you know three, you can calculate the fourth.

Fermat's Spiral

The arrangement of seeds in a sunflower head - and more generally, any phyllotactic pattern governed by the golden angle of approximately 137.5 degrees. The golden angle is derived from the golden ratio, and the spiral families that emerge are always consecutive Fibonacci numbers: 34 clockwise, 55 anticlockwise, or 55 and 89, depending on the scale. The print makes these families clearly countable.

Sacks Spiral

Robert Sacks' variation on the Ulam spiral plots natural numbers along an Archimedean spiral rather than a rectangular grid. The result reveals parabolic arcs formed by quadratic prime-generating polynomials - the same mathematics as the Ulam diagonals, but visible as smooth curves rather than straight lines.

Phylogenetic Trees

Strictly biology, but built from mathematics - maximum likelihood estimation, branch length optimisation, hierarchical clustering applied to molecular sequence data. The result is a radial diagram showing 500 species arranged by evolutionary relationship. Four prints: Insecta, Aves, Mammalia, Dinosauria.

All Signature prints from £50, free UK delivery. Browse at axisophy.com/collections/signature.

Simon Tyler is a designer, illustrator and author based in St Leonards-on-Sea. He is the author and illustrator of Bugs (Pavilion, 2017), Adventures in Space (Pavilion, 2018), Adventures on Earth (Pavilion, 2019) and Emergency Vehicles (Faber & Faber, 2020), and the illustrator of The World's Most Magnificent Machines (Faber & Faber, 2020). His forthcoming book Gizmo: Retro-Tech We Loved and Lost will be published by Laurence King in May 2026.