Saccottini Math Example

Saccottini Math Example
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2017-06-23 23:37
This example demonstrates the graphical representation of rotation and vectors in three-dimensional space. It involves core mathematical concepts such as trigonometry, 3D vectors, and transformations. The construction uses GeoGebra's Surface command to create 3D surfaces and the Text1 object for annotations. Suitable for high school and above students learning solid geometry and vector analysis.

GeoGebra Commands & Parameters

  1. Surface(((sin((j / 50 * π)) + (1.3 * sin((j / 200 * π))) + ((3 * j / 1000) * cos(((k + 25) / 25 * π)))) * cos((k / 25 * π))), ((sin((j / 50 * π)) + (1.3 * sin((j / 200 * π))) + ((0.7 * (j / 100)^(2)) * sin((k / 15 * π)))) * sin((k / 25 * π))), (2 * (1 - abs(cos((j / 200 * π)))^(5) + (j / 100)^(4.5))), k, 0, 150, j, 0, 100) → a