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Modify Triangle Spiral

Modify Triangle Spiral
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2014-08-06 21:41
TriangleVectorSequenceCoordinate Geometry
In collections Symmetry, Transformation and Tessellation session 2 supplement
This example demonstrates how to generate a triangle spiral by modifying parameters. It involves concepts of triangles, vectors, and sequences. Using GeoGebra commands Polygon and Sequence, a series of triangles are constructed to form a spiral pattern. Suitable for high school mathematics education and learning, particularly in coordinate geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(B, C, D) → poly1, d, b, c
  2. Sequence(Dilate[Polygon[Rotate[B, (k * t), A], Rotate[C, (k * t), A], Rotate[D, (k * t), A]], r^(k), A], k, 1, n) → list1

AI Drawing Prompt Reference

Draw a triangle spiral by constructing a series of triangles that progressively scale and rotate, forming a spiral pattern to demonstrate dynamic changes in triangles and the sequence generation process, suitable for learning coordinate geometry and geometric construction.
The prompt above was compiled from the original drawing commands and is for reference only.