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Complex Square Map of Circle

Complex Square Map of Circle
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2017-01-24 09:37
CircleVectorLocus
This example demonstrates how to transform a circle into a square using complex number mapping. Key mathematical concepts include complex numbers, vectors, and loci. It uses commands like Circle, Point, Locus, and Vector in GeoGebra. Suitable for high school math education and learning complex number transformations.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → Z
  3. Locus(z_1, Z) → loc1
  4. Vector(Z) → u
  5. Vector(z_1) → v
  6. IsInRegion((0, 0), c) → a