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Rotating Grids

Rotating Grids
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2016-01-06 02:27
VectorSequenceTransformationGeometric Construction
This example demonstrates the Moire pattern created by rotating grids. It involves core math concepts like rotation, vectors, sequences, and geometric transformations. Key GeoGebra commands used include Vector, Rotate, and Sequence. Suitable for high school students learning geometric transformations, vectors, and sequences.

GeoGebra Commands & Parameters

  1. Vector(A, B) → v
  2. Rotate(B, 90°, A) → B'
  3. Vector(A, B') → u
  4. Sequence(Sequence[Polygon[A + (((2 * i) + Mod[j, 2]) * v) + (j * u), A + (((2 * i) + 1 + Mod[j, 2]) * v) + (j * u), 4], i, 0, ceil(N / 2) - 1], j, 0, N - 1) → list1
  5. Rotate(list1, t, C) → list1'