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3D Wave Interference Demo

3D Wave Interference Demo
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2017-04-05 01:06
FunctionTrigonometrySolid GeometryGeometric Construction
This example demonstrates the interference of two waves in 3D space, showing constructive and destructive interference patterns. It involves core math concepts like wave amplitude, wavelength, phase difference, 3D coordinate transformations, and wave superposition. Constructed using GeoGebra commands like PointIn, Segment, Sequence, Rotate, Polygon. Suitable for high school students and above learning wave physics, optics, and 3D geometry.

GeoGebra Commands & Parameters

  1. PointIn(w) → C
  2. Segment(A, (x(A), y(A), z(A) + 15)) → h
  3. Segment(B, (x(B), y(B), z(B) + 15)) → i
  4. Sequence(Segment[(0, 0, 1), Rotate[F, asin((((l * π) * mmm) * 2 / d)), zAxis]], mmm, -4.5, 4.5, 1) → list2
  5. Sequence(Segment[(0, 0, 1), Rotate[F, asin((((l * π) * mmm) * 2 / d)), zAxis]], mmm, -5, 5, 1) → list1
  6. Rotate(G, asin((l * π / d)), zAxis) → G'
  7. Segment((x(A), y(A), z(A) + 15), (x(A) - 30, y(A), z(A) + 15)) → j
  8. Segment((x(B), y(B), z(B) + 15), (x(B) - 30, y(B), z(B) + 15)) → k
  9. Polygon((-30, -25, 20), (-30, 25, 20), (-30, 25, 10), (-30, -25, 10)) → poly1, q, r, f_1, g_1
  10. Segment((x(A) - 30, y(A), 15 - amp), (x(A) - 30, y(A), 15 + amp)) → m
  11. Segment((x(B) - 30, y(B), 15 - amp), (x(B) - 30, y(B), 15 + amp)) → n

AI Drawing Prompt Reference

Draw a 3D demonstration of wave interference showing constructive and destructive patterns. Start with two points extending 15 units upward, then create multiple rotating line segments to simulate wave patterns. Add two vertical segments with amplitude, and enclose the entire scene in a rectangular frame.
The prompt above was compiled from the original drawing commands and is for reference only.