Parametric Surface Representation

Parametric Surface Representation
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2019-08-20 20:45
This example demonstrates how to represent a surface in 3D space using parametric equations. Core mathematical concepts include parametric equations, 3D vectors, surface symmetry, and geometric shapes like kites. It is constructed using GeoGebra's Surface command with parameters a, b, and text object text4 for control and labeling. Suitable for high school and above students learning spatial geometry, parametric equations, and 3D visualization.

GeoGebra Commands & Parameters

  1. Surface((sqrt(2 - k / 2) * cos(t)), (sqrt(2 - k / 2) * sin(t)), k, t, 0, (2 * π), k, 0, 4) → a