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Rotation and Dilation to Create Spiral Patterns

Rotation and Dilation to Create Spiral Patterns
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2014-08-06 20:25
FunctionTransformationGeometric Construction
In collections Symmetry, Transformation and Tessellation session 2 supplement
This example demonstrates the creation of spiral patterns through repeated rotation and dilation. It illustrates the basic concepts of rotation and dilation, and how to use the Dilate command in GeoGebra for geometric transformations. Suitable for middle school and above students to learn about geometric transformations and pattern generation.

GeoGebra Commands & Parameters

  1. Polygon(B, C, D) → poly1, d, b, c
  2. Dilate(Polygon[Rotate[B, t, A], Rotate[C, t, A], Rotate[D, t, A]], r, A) → poly2

AI Drawing Prompt Reference

Draw a polygon with points B, C, and D, then rotate and dilate it around point A repeatedly to create a spiral pattern.
The prompt above was compiled from the original drawing commands and is for reference only.