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Simple Quadratic Bézier-Surface Example

Simple Quadratic Bézier-Surface Example
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2016-06-16 05:10
FunctionCoordinate GeometrySolid Geometry
This example demonstrates a simple quadratic Bézier surface. It involves the concept of quadratic polynomial functions. Using GeoGebra commands such as Segment and Surface, the various parts of the surface can be constructed. Suitable for high school or university mathematics education, particularly in coordinate geometry and calculus courses.

GeoGebra Commands & Parameters

  1. Segment(A_{20}, A_{22}) → sy
  2. Segment(A_{02}, A_{22}) → sx
  3. Surface(((b_0(u) * b_0(v)) * A_{00}) + ((b_1(u) * b_0(v)) * A_{10}) + ((b_2(u) * b_0(v)) * A_{20}) + ((b_0(u) * b_1(v)) * A_{01}) + ((b_1(u) * b_1(v)) * A_{11}) + ((b_2(u) * b_1(v)) * A_{21}) + ((b_0(u) * b_2(v)) * A_{02}) + ((b_1(u) * b_2(v)) * A_{12}) + ((b_2(u) * b_2(v)) * A_{22}), u, 0, 1, v, 0, 1) → S