Collection · Golden ratio
Golden Ratio & Fibonacci Art, Numbered Limited-Edition Prints
The golden ratio, φ ≈ 1.618, is the proportion you find all over nature: the spiral of a sunflower, the scales of a pinecone, the shell of a snail. It falls straight out of the Fibonacci sequence, where each number is the sum of the two before it. Here we turn it into posters: spirals and rosettes of dots computed to the exact degree. Every day one work from the family goes out as a numbered, signed, limited edition.
- Limited numbered edition
- 300 DPI fine art print
- Ed25519-signed certificate
What is the golden ratio?
Take the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21... each number is the sum of the two before it. Divide one number by the previous, and the further you go the closer you get to a magic value: φ, roughly 1.618, the golden ratio. Nature loves this proportion. Lay down dots turning by the same angle each time, the golden angle (about 137.5°), and you get exactly how a sunflower packs its seeds. No randomness, just a rule and repetition.
How are these prints generated?
Every work starts from a seed. That seed fixes the parameters (the number of dots, the angle, the density) and the palette, and the same seed always produces exactly the same image, here and everywhere else. Nothing is painted by hand, nothing is retouched: the algorithm computes, the render lands. The seed and parameters are frozen into a fingerprint, so the work can't exist twice. That fingerprint is then signed with a cryptographic key (Ed25519), and the certificate that comes with your print can be verified by anyone, without going through me.
Why a print, not just a wallpaper?
Because a spiral is meant to be seen big. The pattern repeats from the centre out to the edge, every dot counts, and a small screen crushes it. We print at 300 DPI on fine art paper, in several formats. Every print is numbered, and its signed certificate is sent by email. Once an edition sells out, it's gone for good: the work doesn't go back into production.
Spirals, rosettes and the golden ratio
The collection circles the same idea in a few forms. There's the Fibonacci sequence, unrolling its spiral of dots; the Fermat rose, the sunflower packing where each seed sits at the golden angle; and its shredded, more restless version. We publish one work a day, just one. Come back tomorrow for the next, or dig through the works already published just above.
Frequently asked questions
What is a golden ratio poster?
A paper print of an image built on the golden ratio and the Fibonacci sequence: a spiral or a rosette of dots placed at the golden angle. Here, every poster is a unique work, numbered and signed, with parameters and a palette that exist only once.
How are Fibonacci and the golden ratio related?
The golden ratio is the value the ratio of two consecutive Fibonacci numbers tends toward. The sequence gives the numbers, the golden ratio gives the proportion, and the golden angle (137.5°) gives how the dots are laid out. All three tell the same story.
What is the certificate of authenticity for?
It ships with your print, carrying the work's fingerprint and its cryptographic signature (Ed25519). Anyone can verify the certificate matches the artwork, without going through me.
What formats and print quality?
300 DPI on fine art paper, in several formats. Production is on demand, then the print ships straight to your door.
Can I give a print as a gift?
Yes. The copy is numbered. Its signed certificate of authenticity, which carries the number, is emailed to you as a PDF when the print is made, and you can print it out to slip in with the gift. The order is delivered to the address you enter at checkout, so it goes straight to the person who receives it.
What is the last day to order for delivery before Christmas?
Order by 10 December at the latest. Our terms of sale announce 14 days at most between the order and receipt. This is an indicative time and not a commitment: production is on demand and delivery depends on the carrier.