Anaglyphic Lissajou 3D
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This example demonstrates the 3D Lissajou curve effect using red-cyan anaglyphic glasses. It involves core math concepts like parametric equations, trigonometry, linear functions, and spatial geometry. The construction uses GeoGebra's Curve command with objects a (parameter), depth (depth), cyan, and red. Suitable for high school and above students to explore parametric curves and spatial transformations.
GeoGebra Commands & Parameters
CurveCartesian(sin((5 * t)) + (depth * (sin((a * t)) + 1) / 2), cos((a * t)), t, 0, 6.28319) → cyanCurveCartesian(sin((5 * t)) - (depth * (sin((a * t)) + 1) / 2), cos((a * t)), t, 0, 6.28319) → red
AI Drawing Prompt Reference
Create a 3D Lissajous curve effect for red-cyan anaglyph viewing. The image shows two symmetric curves: one cyan and one red. Both curves are defined by parametric equations where the horizontal position follows a sine function, plus a depth offset that varies with another sine function; the vertical position follows a cosine function. The parameter runs from 0 to 2π. The cyan curve is shifted to the right, and the red curve is shifted to the left by the same amount, creating a stereoscopic effect. The result is a wavy, spatial distortion suitable for exploring parametric curves and trigonometry.
The prompt above was compiled from the original drawing commands and is for reference only.