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Pudding Shape

Pudding Shape
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2018-11-18 22:04
FunctionCoordinate GeometrySolid Geometry
In collections surface 3D /3D-Oberflächen 1
This example demonstrates the generation process of a pudding shape. It involves random experiments, 3D vectors, and exponential functions. Using GeoGebra commands such as Root, Circle, Surface, and CurveCartesian, the pudding shape can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Root(f, 3) → A
  2. Circle((0, 0), r) → kr
  3. Surface(((s * cos(t)) * (r + (d * abs(sin((n / 2 * t)))))), ((s * sin(t)) * (r + (d * abs(sin((n / 2 * t)))))), f((s * r)), s, 0, 1, t, 0, (2 * π)) → e
  4. CurveCartesian((cos(t) * (r + (d * abs(sin((n / 2 * t)))))), (sin(t) * (r + (d * abs(sin((n / 2 * t)))))), 0, t, 0, (2 * π)) → form