Aperiodic Penrose Torus, Alpha

Thick and thin black granite rhombs tile the base, and shape the footprint of the red granite sculpture. Two curves with torus winding numbers (2, 1) and (1, 1) generate rows of a matrix.* The eigenvalues are sufficient to generate coordinates of the rigid aperiodic tile system of Sir Roger Penrose with all seven possible vertex combinations represented.

*The elevated curves and posture of the red granite have antecedents in an ancient Minoan Earth Goddess figurine.

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photos by Sunforge Studios