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Colouring domain of the identity function, f.

Colouring domain of the identity function, f.
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2015-05-15 04:19
FunctionComplex NumberGeometric Construction
In collections GeoGebra, Complex Maps and Riemann Sphere
This example demonstrates the colouring domain of the identity function f, corresponding to the typical colour domain of the complex plane. Key mathematical concepts include function colouring, complex plane geometry, and geometric construction. Construction involves GeoGebra commands such as Intersect, Circle, and Rotate, using objects like t, A, f1, f2, etc. Suitable for high school students or college undergraduates learning function graphs and geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Circle(B, r) → c
  3. Rotate((r, 0), α, (0, 0)) → D

AI Drawing Prompt Reference

Draw the unit circle of function f. First, draw the intersection point B of the x-axis and y-axis. Then, draw a unit circle c centered at B. Finally, rotate circle c around the origin by an angle α to get circle D.
The prompt above was compiled from the original drawing commands and is for reference only.