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# How ARTriangles Embody the Golden Proportion

It's all about proportion and balance.

The concept of proportion is fundamental to mathematics, geometry, and life in general. Ratio is another word for proportion. To be rational is to think with proportions rather than one-sided or absolute ideas.

The Golden or Divine Proportion, called the Metron in ancient Greece before being renamed by Kepler, stands out for its mathematical beauty and its fractal self-organizing capability. Since ancient times it has been regarded as a symbol of perfect balance.

The Golden Proportion balances two different lengths so that the ratio of the smaller to the larger is identical to the ratio of the larger to their combined lengths. Mathematicians have long marveled over its many properties.

ARTriangles provide a self-organizing sense of proportion through hand-to-eye coordination, intuitive logic and creative satisfaction.

Suggestion: If you are viewing this website on a cellphone or tablet, zoom in to see sections of each mosaic in finer detail. To replicate one of our designs, a good technique is to look at the design on your cellphone and position tiles with your free hand to match the mosaic on the screen.