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Rain of Cubes

Rain of Cubes
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2018-03-17 22:12
VectorSequenceSolid GeometryGeometric Construction
This example demonstrates a dynamic rain of cubes in 3D space. It involves core mathematical concepts like 3D shapes, vectors, sequences, and functions. Construction highlights the use of Polygon and Sequence commands in GeoGebra. Suitable for high school and above students to explore spatial geometry and dynamic graphics.

GeoGebra Commands & Parameters

  1. Polygon({(-0.5, -0.5, 0), (0.5, -0.5, 0), (0.5, 0.5, 0), (-0.5, 0.5, 0)}) → c
  2. Sequence(Sequence[Translate[Rotate[Rotate[c, ((1 - 1 / (1 + ℯ^((-10 * (p - Element[LP, j + n + 1, i + n + 1]))))) * Element[LA, j + n + 1, i + n + 1, 1]), zAxis], ((1 - 1 / (1 + ℯ^((-10 * (p - Element[LP, j + n + 1, i + n + 1]))))) * Element[LA, j + n + 1, i + n + 1, 2]), xAxis], Vector[(i, j, (10 * (1 - 1 / (1 + ℯ^((-10 * (p - Element[LP, j + n + 1, i + n + 1])))))))]], i, (-n), n], j, (-n), n) → L