Fractal Geometry Substitution Tile

Fractal Geometry Substitution Tile
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2019-04-15 03:07
This example demonstrates substitution tiles in fractal geometry, recursively constructing complex geometric patterns. Core math concepts include fractals, geometric transformations, substitution systems, volume calculation, and power functions. It uses GeoGebra commands like Polygon with objects n, A, B, C, D, q1, a, b, c, d, l1, l2, l3, l4, l5, l6 for parameter control and geometric construction. Suitable for high school and above learners to understand fractal geometry and geometric construction techniques.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a, b, c, d

AI Drawing Prompt Reference

Draw a geometric shape formed by four points, recursively replacing each basic shape to create complex fractal patterns. Start by creating a quadrilateral, then extend from each vertex to form new quadrilaterals, repeating this process to show the substitution principle and self-similarity in fractal geometry.
The prompt above was compiled from the original drawing commands and is for reference only.