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DE BRUIJN'S GRID METHOD

Rhombuses:0

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Offsets (gamma)

Family 1 (0deg): 0.00
Family 2 (36deg): 0.00
Family 3 (72deg): 0.00
Family 4 (108deg): 0.00
Family 5 (144deg): 0.00
De Bruijn proved Penrose tilings arise from 5 families of parallel lines at 36deg apart. Changing the offsets produces different Penrose tilings -- there are uncountably many!