Circle-Square Illusion
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This example demonstrates the visual illusion between a circle and a square from a specific perspective. It involves core mathematical concepts such as coordinate geometry, solid geometry, geometric construction, function graphing, and locus. The construction uses GeoGebra commands like Surface and CurveCartesian, along with objects a, b, u, c, f, d, e. Suitable for high school and above students studying solid geometry, coordinate geometry, and visual illusions.
GeoGebra Commands & Parameters
Surface((a - (a * t), ((b * t) * cos(u)), ((b * t) * sin(u))), t, 0, 10, u, 0, (2 * π)) → cSurface(((-a) + (a * t), ((f(u) * t) * cos(u)), ((f(u) * t) * sin(u))), t, 0, 10, u, 0, (2 * π)) → dCurveCartesian(((-a) * (f(u_{1}) - 1) / (f(u_{1}) + 1)), (((2 * f(u_{1}))) / (f(u_{1}) + 1) * cos(u_{1})), (((2 * f(u_{1}))) / (f(u_{1}) + 1) * sin(u_{1})), u_{1}, 0, (2 * π)) → e