MathPlotAI Logo MathPlotAI

Points on a Parametrized Surface

Points on a Parametrized Surface
Loading the math board and drawing, please wait…
2018-01-18 07:48
Coordinate GeometryParametric Equation
This example demonstrates how to plot points on a parametrized surface. Key mathematical concepts include parametric equations and surfaces. Using the CurveCartesian and Surface commands, a parametrized surface is constructed and points are plotted. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

  1. CurveCartesian((t, t^(2), t^(3)), t, -10, 10) → a
  2. Surface(((2 + cos(u)) * cos(v)), ((2 + cos(u)) * sin(v)), sin(u), u, 0, (2 * π), v, 0, (2 * π)) → b
  3. Surface(u + v, u^(2) - v, u + v^(2), u, -20, 20, v, -20, 20) → c