MathPlotAI Logo MathPlotAI

Colored Surface Example

Colored Surface Example
Loading the math board and drawing, please wait…
2015-04-01 01:13
PolygonCoordinate GeometrySolid GeometryGraphing
In collections surface 3D surface 3D
This example demonstrates the generation and visualization of a colored surface. It involves core mathematical concepts such as polygons, general quadrilaterals, algebra, ellipses, and random experiments. The construction uses the Surface command and objects like nt, b, dv, a, d, s, c. Suitable for high school and above learners to understand surface construction and parametric representation.

GeoGebra Commands & Parameters

  1. Surface(((a + ((v * nt) * cos((u * nt)))) * cos(u)), ((a + ((v * nt) * cos((u * nt)))) * sin(u)), ((v * nt) * sin((u * nt))), u, -3.14159, 3.141592653589793, v, (-b) + dv, b - dv) → d
  2. Surface(((a + ((v * nt) * cos((u * nt)))) * cos(u)), ((a + ((v * nt) * cos((u * nt)))) * sin(u)), ((v * nt) * sin((u * nt))), u, -3.141592653589793, 3.141592653589793, v, (-b), b) → s
  3. Surface(((a + ((v * nt) * cos((u * nt)))) * cos(u)), ((a + ((v * nt) * cos((u * nt)))) * sin(u)), ((v * nt) * sin((u * nt))), u, -3.15, 3.141592653589793, v, (-b), b) → c