3D Wave Interference
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This surface represents the interference of two 3D waves. It is generated by the function f(x,y) = sin(10 * sqrt((x + 1)² + (y + 1)²) + ... . The example involves trigonometric functions and 3D wave interference. It uses GeoGebra objects a, f, g, and fg. Suitable for high school physics and math education, helping students understand the principle of wave interference.
GeoGebra Commands & Parameters
Numeric a(3.0)f(x, y) = sin((10 * (sqrt((x + 1)^(2) + (y + 1)^(2)) + a))) / sqrt((x + 1)^(2) + (y + 1)^(2))g(x, y) = sin((10 * (sqrt((x - 1)^(2) + (y - 1)^(2)) + a))) / sqrt((x - 1)^(2) + (y - 1)^(2))fg(x, y) = sin((10 * (sqrt((x + 1)^(2) + (y + 1)^(2)) + a))) / sqrt((x + 1)^(2) + (y + 1)^(2)) + sin((10 * (sqrt((x - 1)^(2) + (y - 1)^(2)) + a))) / sqrt((x - 1)^(2) + (y - 1)^(2))
AI Drawing Prompt Reference
Visualize the surface formed by the interference of two 3D sine waves with wave sources at (-1, -1) and (1, 1), both having an amplitude parameter a set to 3 and wave number 10. The interference pattern is created by adding the amplitudes of the two waves, demonstrating the principle of wave superposition.
The prompt above was compiled from the original drawing commands and is for reference only.