Rotationally Symmetric Dragon with 4 Heads
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This example demonstrates rotational symmetry through a dragon-shaped figure with four heads. Key mathematical concepts include rotational symmetry and geometric construction. The construction uses GeoGebra objects a and b. Suitable for high school mathematics education and learning about rotational symmetry.
GeoGebra Commands & Parameters
a(x, y) = If[-5 ≤ x ≤ 5 ∧ -5 ≤ y ≤ 5, sqrt(1 - ((abs(x) * sqrt(2) / 2) - (abs(y) * sqrt(2) / 2))^(2)) + cos((abs(x) * sqrt(2) / 2) + (abs(y) * sqrt(2) / 2))]b(x, y) = If[-5 ≤ x ≤ 5 ∧ -5 ≤ y ≤ 5, (-sqrt(1 - ((abs(x) * sqrt(2) / 2) - (abs(y) * sqrt(2) / 2))^(2))) + cos((abs(x) * sqrt(2) / 2) + (abs(y) * sqrt(2) / 2))]