The geometry of recall

Ask anyone to draw the Nike swoosh from memory. They will get the ratio right and the curve wrong. That is how recall works — the brain stores proportion, then reconstructs form. A mark with a clean ratio is remembered. A mark without one is forgotten the moment the user scrolls.

The golden ratio (1:1.618) for harmony. The square root of two (1:1.414) for stability. The 3:4:5 right triangle for grounding. We rarely build a mark on a free-form grid — every curve, counter and stroke sits on a measurable ratio.

They are drawn 'by feel'. Feel is a great starting point and a terrible finishing point. The final mark must be measurable, reproducible and defendable in front of a board. Scientific Logo Design treats geometry the way an architect treats a load-bearing wall — non-negotiable.