MathPlotAI Logo MathPlotAI

Complex Number Transformation and Cube Demonstration

Complex Number Transformation and Cube Demonstration
Loading the math board and drawing, please wait…
2020-02-14 07:34
CalculusDerivativeComplex NumberTransformationGraphing
This example demonstrates the geometric translation of complex numbers and their cubic representation in a coordinate system. It involves core math concepts like complex numbers, translation, cubes, differential calculus, derivatives, and curve sketching. Constructed using commands like Sample, Element, SurdText, and objects such as l1, l2, l3, b2, button1 for interactive visualization. Suitable for high school and above mathematics education to understand the geometric meaning of complex numbers and calculus applications.

GeoGebra Commands & Parameters

  1. Sample(l2, 2, false) → l3
  2. Element(l3, 2) → b2
  3. Element(l3, 1) → a2
  4. Element(l1, IndexOf[a2, l2]) → a3
  5. SurdText(z1) → textZ1
  6. Element(l1, IndexOf[b2, l2]) → b3
  7. SurdText(z2) → textZ2
  8. SurdText(z3) → textZ3
  9. SurdText(z4) → textZ4
  10. SurdText(α1, {π}) → textα1
  11. SurdText(α2, {π}) → textα2
  12. SurdText(α3, {π}) → textα3
  13. SurdText(α4, {π}) → textα4
  14. SurdText(abs(z1)) → a4
  15. SurdText(abs(z2)) → b4
  16. SurdText(abs(z3)) → c4
  17. SurdText(abs(z4)) → d4
  18. SurdText(real(z3), {sqrt(2), sqrt(3), sqrt(6)}) → textZ31
  19. SurdText(imaginary(z3), {sqrt(2), sqrt(3), sqrt(6)}) → textz32
  20. SurdText(real(z4), {sqrt(2), sqrt(3), sqrt(6)}) → textz41
  21. SurdText(imaginary(z4), {sqrt(2), sqrt(3), sqrt(6)}) → textz42