Modular Circles MC0006

Each point on the circle is joined by a straight line to the point at six times its number, counting round whenever the total is passed. As with every print in this series, no curve is drawn at any stage.

Five cusps appear in the envelope, following the rule that governs the whole family: one fewer than the multiplier. Six is where the character of the series begins to change. The main curve is still clear, but the interior is now busy with the secondary crossings that will come to dominate at higher multipliers.

Those interior structures are not incidental. They are envelopes in their own right, formed by subsets of the lines that happen to share a relationship, and they carry information about the factors of the numbers involved. Multipliers that share divisors with the point count produce visibly different interiors from those that do not.

Everything here follows from two numbers and a rule that can be stated in one sentence. The construction predates computers by a long way; only the precision is modern.

Part of the Signature series of mathematical art prints.

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.

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.

Large · 70 × 70 cm · 28 × 28 in

XLarge · 100 × 100 cm · 40 × 40 in

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.

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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.

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