DOC NIL / THE PATTERN ATLAS
Observe the rule.
Explore the possibilities.
Seeds, scales, fivefold geometry and the space around a mark. Different studies reveal different relationships—and different ways to compose.
Enter the first study ↓
STUDY 01 / PHYLLOTAXIS
THE ARRANGEMENT OF GROWTHAn angle.
A field of possibility.
Sunflower seed arrangements often show interweaving spiral families. This model places each new point at a constant angle and a radius proportional to the square root of its index.
A mathematical phyllotaxis model, rather than a measurement of the illustration. Real plants show variation.
OBSERVE THE RELATIONSHIP
Small changes.
Another rhythm.
r = c√n
θ = nα
α = 360° / φ²

STUDY 02 / FIVEFOLD ORDER
AN EXACT GEOMETRIC RELATIONSHIPFive sides.
One recurring ratio.
In a regular pentagon, a diagonal divided by a side equals φ. The relationship is exact. The architectural drawing beside it is an original composition inspired by fivefold geometry.

STUDY 03 / THE COMPOSED WHOLE
A FRAMEWORK FOR DESIGNFrom a relationship
to a point of view.
The golden division offers one way to compare areas, spacing and emphasis. On an existing logo, a proportion overlay is an exploratory reading. The original construction and the final design remain their own story.
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