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Complex Function Art

Complex Function Art
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2019-05-10 13:29
FunctionComplex NumberGeometric ConstructionGraphing
This example demonstrates how to visualize complex functions using GeoGebra, creating intricate patterns and graphics from mathematical expressions. It involves core concepts like complex numbers, functions, and coordinate geometry. Constructed with commands such as Circle, Point, Textfield, SelectedIndex, and Polygon, it is ideal for high school and advanced learners to explore the geometric interpretation of complex functions and their visualizations.

GeoGebra Commands & Parameters

  1. Circle(O, r) → c
  2. Point(c) → P
  3. Textfield(text1) → InputBox1
  4. SelectedIndex(L_1) → shape
  5. Polygon(O, P, 4) → poly1, h, i, j, k, A, B

AI Drawing Prompt Reference

Create a complex pattern generated by a complex function, starting with drawing a circle, then placing a point on the circle, setting up an input box to display text, and drawing a quadrilateral based on the selected shape index, finally connecting the center of the circle, the point on the circle, and the quadrilateral to form a geometric design.
The prompt above was compiled from the original drawing commands and is for reference only.