Signature series
Modular Circles MC0005
Mathematics · Modular arithmetic · Multiplier 5
- Original infographic and mathematical visualisations by Simon Tyler
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Points spaced evenly around a circle, each joined by a straight line to the point at five times its number. Four cusps emerge from the envelope, one fewer than the multiplier, as they do throughout the series.
About this print
About this print
Points evenly spaced around a circle, each connected by a straight line to the point at five times its number. Nothing curved is drawn; the count simply wraps around whenever it passes the total.
Four cusps form. By this point in the series the pattern governing the construction is unmistakable - the cusp count trails the multiplier by exactly one - but the reason is not obvious from the drawing, and the proof requires the calculus of envelopes rather than anything visible in the figure.
The secondary structure is what makes this one worth looking at closely. Beyond the main envelope, the lines cross in a fine lattice of their own, denser toward the centre and looser at the rim, produced by nothing more than the arithmetic of remainders.
The construction has no adjustable parameters beyond the multiplier and the number of points. Everything visible follows from those two numbers, which is an unusually small amount of input for the amount of structure that results.
Part of the Signature series of mathematical art prints.
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 · 70 × 70 cm · 28 × 28 in
XLarge · 100 × 100 cm · 40 × 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.