Fibonacci
A sequence whose successive ratios approach φ.
PHIFOUNDATION
One number. Everything.
PHI-000A SUNSEEDS SYSTEM
One number. Everything.
φ = (1 + √5) ÷ 2
The big part is to the small part as the whole is to the big part. Cut a square from a golden rectangle and what is left is another golden rectangle.
01 / THE PROPORTION
1.6180339…
The golden ratio is the positive solution to x² = x + 1. It describes a relationship in which the whole is to the larger part as the larger part is to the smaller.
Remove a square from a golden rectangle. The rectangle that remains has the same proportions. Repeat the operation, and the relationship continues.
An experimental space for geometry and structure.
INSTRUMENT 001 / GOLDEN RECTANGLE
Change the scale. The size changes; the ratio does not. Width ÷ height always equals φ.
INSTRUMENT 003 / GOLDEN ANGLE
Place successive points at the golden angle and see a phyllotactic pattern emerge.
INSTRUMENT 002 / LOGARITHMIC SPIRAL
Explore how a curve expands at a constant proportional rate. This is a mathematical demonstration, not the Golden Bloom mark.
A growing collection of histories, discoveries, references and original research.
Fibonacci · The golden angle · Architecture · Visual studies
7 entries
A sequence whose successive ratios approach φ.
Approximately 137.5°. A turn associated with some patterns of phyllotaxis.
The division of a line in extreme and mean ratio.
Le Corbusier’s proportional system for architectural design.
A rectangle whose longer side divided by its shorter side equals φ.
The Phi System's 13-column layout, with 5:8 and 5:3:5 compositions.
The 34-petal Phi mark, constructed with successive 137.5° turns.
No matching entries.
Design, art, sound and language. Proportion becomes practice.
Graphic design · Architecture · Music · Literature · Digital media
Thirteen columns. A vocabulary of 5 + 8, 5 + 3 + 5, and 3 + 5 + 5.
A type ladder rising by √φ, from body copy to display.
9 · 15 · 24 · 39 · 63 · 102. Every gap belongs to the system.
Investigating proportional structure in sound, language and moving images.
A system for making things with intention. A space for research, experimentation and creative discovery.
The Foundation manifesto and original presentations will inform the completed editorial content.
“One number. Every decision.”
THE IDEA
Phi is a way of thinking about relationship, structure and creative decisions. The Foundation brings research and experimentation together with design and artistic practice.
Born from the Phi System, a SUNSEEDS project developed in Brighton.
The original manifesto will be published here in its approved form, without rewriting its voice.