3D Optical Illusion Example

3D Optical Illusion Example
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2019-12-18 01:11
This example demonstrates a 3D optical illusion created through rotation and geometric transformations. It involves core mathematical concepts like rotation, line segments, function graphs, rhombuses, and circumcircles. The construction uses GeoGebra commands such as CurveCartesian and objects d, e, f, g, h, i, text1, a, b, c for curve drawing and manipulation. Suitable for high school and above students to understand spatial geometry and visual illusion principles.

GeoGebra Commands & Parameters

  1. CurveCartesian((cos(t), sin(t), sin((g * t))), t, 0, (24 * π)) → a
  2. CurveCartesian((cos(t), sin((g * t)), sin(t)), t, 0, (24 * π)) → b
  3. CurveCartesian((sin((g * t)), sin(t), cos(t)), t, 0, (24 * π)) → c