Supertorus
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This example demonstrates the construction and visualization of a supertorus, a complex geometric shape. Key math concepts include parametric equations, rotation, symmetry, and transformations in 3D space. The construction uses GeoGebra's Surface command along with objects like Text1, t, s, a, b, st, c, anim, and Schaltfläche1 for parameter control and animation. Suitable for high school students and math enthusiasts exploring advanced geometry and parametric surfaces.
GeoGebra Commands & Parameters
Surface((((a + (sgn(cos(u)) * abs(cos(u))^(s))) * sgn(cos(v))) * abs(cos(v))^(t)), (((b + (sgn(cos(u)) * abs(cos(u))^(s))) * sgn(sin(v))) * abs(sin(v))^(t)), (sgn(sin(u)) * abs(sin(u))^(s)), u, 0, (2 * π), v, 0, (2 * π)) → st