Penrose aperiodic tiling

What you are seeing: a Penrose P3 rhombus tiling built by Conway-Penrose deflation from a 10-fold "Sun" seed. Two prototiles (thick 72/108 and thin 36/144 rhombi); 10-fold local symmetry; no global periodicity. The A/B count ratio converges to the golden ratio $\phi = (1+\sqrt 5)/2 \approx 1.618$

Figure 1. Penrose P3 tiling after N Conway-Penrose deflations from a 10-fold Sun seed; A/B count ratio converges to phi. Method: deflation of Robinson triangles.

deflation steps4

edge styleon

rotation0 deg

zoom1.00

WHAT TO TRY

Vary each control and watch the rail readouts respond.
Compare the diagnostic plot against the live scene.