Discovering the Aesthetics of Mathematics The "Golden Ratio" collection by Harto is a visual exploration of the patterns that govern our reality.

Each piece in this collection is a window into the intricate dance of numbers and nature, marrying the Fibonacci sequence with the principles of recursive algorithms and fractal geometry.

Harto's work reflects the proportionality found in nature, the symmetry and grids that underpin our universe, and the beauty that emerges from chaos.

Harto's designs are not just images but algorithms at play. The randomness of patterns, the organic granulation, and the harmonic color palettes reflect the unpredictable yet orderly universe we inhabit.

The collection's aesthetics draw heavily on the rich history of cryptography and the bold patterns and functionalism of the Bauhaus movement.



The Fibonacci sequence is a numerical sequence in which each number is derived by adding the two numbers that come before it in the series. It has captivated mathematicians for centuries due to its intriguing properties and patterns. Studying the Fibonacci sequence provides insights into various mathematical concepts, such as recursion, number theory, and algebra.

The Fibonacci sequence appears in nature frequently, in phenomena like the arrangement of leaves on a stem, the spiral pattern of pinecones and sunflowers, and the growth of certain seashells.

The use of Fibonacci proportions, often referred to as the "Golden Ratio" or "Phi (Φ)," in art and design is a fascinating aspect of the Fibonacci sequence's influence on aesthetics. This mathematical pattern resonates with the natural ordering principles, guiding the structure and flow of Harto’s artworks.

Recursive algorithms and fractal geometry are also key inspirations, allowing me to explore the complex, often infinite patterns found in nature. I am also fascinated by the concept of proportionality in nature, symmetry, and grids. These aspects contribute to a sense of harmony and balance in my work, which is essential for conveying the beauty I see in the natural world.

Moreover, the elements of pattern randomness, chaos, and organic granulation are crucial in my art. They introduce an element of unpredictability and naturalness, reflecting the often chaotic yet ordered reality of the natural environment.

Finally there are a lot of palettes and different colours, inspired by OG collections, Bauhaus movement and other contemporary and classical pieces.


The artwork is made in p5js an artistic variant of javascript, thanks to the libraries that Onchainmonkey uploaded to bitcoin, we can now create fully on-chain generative art in ordinals. The artwork is a tribute to the golden ratio and the fibonacci sequence, used for centuries by artists and designers, to create compositions pleasing to the human eye.

Since Harto’s beginnings in design and art he has been using this composition for illustrations, photography, graphic design among others. The code has certain levels of complexity keeping it as simple as possible to occupy a minimum of space on the blockchain.

The first level is the golden composition with rectangles and the other levels are defragmented and increase in complexity, allowing more variety in the collection.


The Golden Ratio Ordinals will be inscribed using Parent/Child Provenance. The parent will be the generation algorithm, and the children will be the individual ordinal inscriptions.

The metadata for each ordinal will also be inscribed, providing a complete on-chain artwork.

The parent element will be inscribed on the alpha uncommon sat #452580000000000 from year 2010. The children elements will be inscribed on SATs from the first bitcoin of Block 9 450x (the first block that has satoshis circulating today).

The main file will occupy 7 kilobytes on the blockchain, while each child file will require approximately 157 bytes.


Inscription: Block 9 450x sats

License: CC BY-NC-ND 4.0

File size: 72.94kB

Library: p5@1.6.0