Orthoptic of the Fermat-4 Curve
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This example demonstrates the construction of the orthoptic of the Fermat-4 curve and its isoptics, exploring advanced geometric concepts. It involves coordinate geometry, orthocenters of triangles, tangent lines, polygon constructions, and fractal geometry. The construction uses GeoGebra commands like eq1, a, eq2. Suitable for high school students and geometry enthusiasts interested in complex curves.
GeoGebra Commands & Parameters
x^(4) + y^(4) = 1a(x, y) = (x + y)^(4 / 3) + (x - y)^(4 / 3)(x + y)^(4 / 3) + (x - y)^(4 / 3) = (x^(2) + y^(2))^(4 / 3)