Apollonian Gasket
An Apollonian gasket is a fractal generated by repeatedly filling the gaps between three (or more) circles that touch each other. Starting with three tangent circles, smaller circles are placed in the voids created by their intersection, and this process continues infinitely. The result is a complex, beautiful pattern with self-similar features at different scales, showcasing concepts of infinity and mathematics in art. The Apollonian gasket illustrates how simple geometric principles can produce intricate designs, making it a fascinating topic in both mathematics and visual aesthetics.
Additional Insights
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An Apollonian Gasket is a fascinating geometric figure created by repeatedly filling the gaps between three tangent circles with additional circles. Starting with three circles that touch each other, you place a new circle in the space between them. Each time you find gaps, you keep adding circles, creating a complex, intricate pattern. This process can continue infinitely, producing a stunning fractal design that showcases mathematical beauty and symmetry. The result is a collection of circles that showcases how simple rules can yield remarkably complex and visually appealing structures.