EXPLORING MATHEMATICS
The Golden Ratio by Harto
The Golden Ratio is one of the oldest ideas of harmony, a proportion found in seashells, temples, and galaxies. In this series, Harto translates that principle into code. Each work is an algorithmic composition built from the ratio, producing forms that feel inevitable yet surprising.


Rules are where beauty hides. The Golden Ratio has guided builders for centuries, I wanted to satisfy my fascination too.”
Harto
A CURSED COLLECTION
FIBONACCI SEQUENCE
The algorithm follows the Fibonacci sequence, subdividing space and distributing colour so that order underpins chance. The results are captivating compositions that look effortless, but emerge from strict proportion.

CURSED INSCRIPTIONS
These works are “cursed”, inscribed with negative numbers due to an early bug in the Ordinals protocol. Very few such inscriptions exist, and they cannot be recreated. That makes the provenance extraordinary. For collectors, cursed inscriptions will remain anomalies frozen into Bitcoin’s history.

RULE-BASED PRACTICE
Harto’s work is about rules, letting code produce clarity. From SATS to later experiments, he treats geometry and algorithms as materials. The Golden Ratio is a natural step: a universal rule turned into visual language.

GROWTH & VALUE
The golden ratio is the mathematics of growth: shells, leaves, galaxies, all expanding in measured proportion. Bitcoin is the mathematics of value: blocks, halving cycles, and supply curves unfolding with the same inevitability. Linking the two means recognition, both are systems where order emerges from strict rules, unchanging, incorruptible.

More about the artist
Harto
Harto (Spain b. 1993) is a multidisciplinary designer and artist inspired by nature, theatre and new technologies.
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