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Random Walk on a Unit Sphere

Random Walk on a Unit Sphere
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2017-11-23 05:37
Coordinate GeometrySolid GeometryProbability & Statistics
This example demonstrates a random walk on a unit sphere. Key mathematical concepts include random processes in probability and statistics, and spherical geometry in coordinate geometry. Using GeoGebra commands such as Sphere, Random, Sequence, and Line, the path of the random walk is dynamically displayed. Suitable for high school students and educators for teaching and research.

GeoGebra Commands & Parameters

  1. Sphere(A, 1) → a
  2. Random(1, 6) → b
  3. Sequence(CircleArc[A, Element[data, i], Element[data, i + 1]], i, 1, Length[data] - 1) → L_1
  4. Line(A, (0, 0, 1)) → f
  5. Line(A, (0, 1, 0)) → g
  6. Line(A, (1, 0, 0)) → h