Penrose Inflation Rules
Aperiodic tiling via substitution — kite & dart with matching rules
Inflation Parameters
Inflation steps:
4
Tile size:
200
Rotation offset:
0
°
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Cycle Colormap
Tiles:
—
Kites:
—
Darts:
—
K/D ratio:
—
φ = 1.618... (expected)
Penrose P2 tiling: kites + darts
Golden ratio φ = (1+√5)/2
Kites:Darts → φ as n→∞
Inflation: each tile splits into
smaller kites and darts.
Scale factor = 1/φ per step.
5-fold symmetry — never periodic!