Samsun-Turkey Symmetry
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This example demonstrates the symmetry between Samsun and Turkey, showcasing symmetry through graphics. Core mathematical concepts involved include symmetry, power functions, fractions, sequences and series, matrices, and plane figures or shapes. The construction uses the GeoGebra command CurveCartesian with objects b, c, a, d. Suitable for high school students and teachers for teaching and exploring the application of symmetry in geometry.
GeoGebra Commands & Parameters
CurveCartesian(((c / 3 * sin(t)) * (ℯ^(cos(t)) - (2 * cos((4 * t))) + sin(t / 12)^(5))), ((c / 3 * cos(t)) * (ℯ^(cos(t)) - (2 * cos((4 * t))) + sin(t / 12)^(5))), t, 0, ((2 * π) * b)) → aCurveCartesian(((c / 3 * sin(t)) * (ℯ^(cos(t)) - (2 * cos((4 * t))) + sin(t / 12)^(5))), ((c / 3 * cos(t)) * (ℯ^(cos(t)) - (2 * cos((4 * t))) + sin(t / 12)^(5))), t, 0, (2 * π)) → d