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SUM TO ZERO

de Bruijn dual · chris berlin · parameters are the work
INK
THE SLICE
γ0
γ1
γ2
γ3
γ4
THE VIEW
zoom
turn
R
pen
Press S to save, V for nine more. The filename is the seed.

SUM TO ZERO · chris berlin, 2026

Five families of parallel lines, each shifted by γ. Every crossing becomes one rhomb. The only rule the generator enforces is γ0 + γ1 + γ2 + γ3 + γ4 = 0, so γ4 is never yours to set. Everything else is your decision.

The picture is a legal slice, not a pattern: a Penrose rhomb tiling, which never repeats.

Method: N. G. de Bruijn's pentagrid (1981). A tiny fixed offset keeps the grid regular, so every setting gives exactly one tiling. Part of berlin.studios. chrisberlin.com

Pick one. It becomes your piece, and you can keep tuning it.