Signature series
F4: Coxeter Projection
Mathematics · Root systems · 1887
- Original infographic and mathematical visualisations by Simon Tyler
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48 roots, two different lengths, one canonical projection. F4 is the odd one out among the exceptional root systems - the only one where not all roots are equal. That distinction shows in the print.
About this print
About this print
F4 is the most unusual of the four exceptional root systems. Unlike E8, E7, and E6, it is non-simply-laced - meaning its 48 roots come in two distinct lengths, 24 long and 24 short, with a ratio of √2 between them. This asymmetry makes F4 structurally richer than its root count suggests, and gives it a character quite different from the other exceptional systems.
In the Coxeter plane projection, the 48 roots arrange into 4 concentric rings of 12, with 12-fold rotational symmetry throughout. All 1,128 possible connections between roots are shown - a choice that makes sense for F4, where the nearest-neighbour edge set alone gives an unusually sparse result owing to the mixed root lengths. The full connectivity reveals the geometry more completely.
The Signature series
The Signature series
Signature is a collection of mathematical, scientific and infographic visualisations - prime number distributions, evolutionary trees, geological timescales, and other structures that become something unexpected when rendered at print scale.
Each piece begins as a data-driven computational process and is developed into a finished artwork through a combination of custom code and design refinement. The aim is not to illustrate mathematics but to make the underlying structures visible - to find the image that was always inside the data.
The series draws on fields including number theory, evolutionary biology, palaeontology, topology, and information design.
Paper and printing
Paper and printing
All prints are produced to order on 250gsm archival matte paper using pigment-based inks, chosen for colour accuracy and long-term stability.
Each print is rolled in acid-free tissue and shipped in a rigid cardboard tube, sealed for moisture protection, ready for framing on arrival.
Dimensions
Dimensions
Large · 50 × 70 cm · 20 × 28 in
XLarge · 70 × 100 cm · 28 × 40 in
Delivery
Delivery
UK: Free · 3-5 working days
Europe: €8.50 · 3-7 working days · No customs charges
USA & Canada: $8.95 / $12.00 CAD · 5-10 working days
Australia: $14.00 AUD · 5-10 working days
Rest of World: £14.95 · 7-14 working days
All prints are produced to order and dispatched within 1-3 working days. Orders placed before 5pm GMT ship the same day. You'll receive tracking information by email once dispatched.
Orders outside Europe may be subject to local customs charges on delivery - these are the responsibility of the recipient.
Returns
Returns
Returns accepted within 30 days. Email returns@axisophy.com with your order number and we'll provide return instructions.
Return postage is the customer's responsibility except where the print arrives damaged or there's been an error - in which case we'll arrange a replacement or refund immediately, no return needed.