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Random Torus

Random Torus
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2015-04-25 00:40
Solid GeometryProbability & StatisticsParametric Equation
This example demonstrates a randomly generated torus, a three-dimensional ring-shaped surface resembling a donut. It involves key mathematical concepts such as three-dimensional geometry and random variables. Using GeoGebra commands like Random and Surface, a dynamic torus model is constructed. Suitable for high school students and math enthusiasts to explore three-dimensional geometry.

GeoGebra Commands & Parameters

  1. Random(1, 4) → b
  2. Random(1, 4) → c
  3. Random(1, 4) → a
  4. Surface((a * xt(u, v)), (b * yt(u, v)), (c * zt(u, v)), u, 0, 6.28319, v, 0, 6.28319) → toro
  5. Surface((b * yt(u, v)), (a * xt(u, v)), (c * zt(u, v)), u, 0, 6.28319, v, 0, 6.28319) → toro1
  6. Surface((a * zt(u, v)), (b * yt(u, v)), (c * xt(u, v)), u, 0, 6.28319, v, 0, 6.28319) → toro2