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Multiple Reflections

Multiple Reflections
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2015-01-24 00:31
Solid GeometryGeometric Construction
This example demonstrates the construction of complex geometric patterns through multiple reflections, involving core concepts like reflection, symmetry, solid geometry, fractal geometry, and combinatorics. It utilizes GeoGebra commands/objects such as Point, Polygon, Segment, and Vector. Suitable for high school and above students exploring geometric transformations, symmetry, and fractal geometry.

GeoGebra Commands & Parameters

  1. Point(c) → A
  2. Point(c) → B
  3. Point(b) → C
  4. Point(b) → D
  5. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d
  6. Point(c_1) → E
  7. Point(c_1) → G
  8. Point(a_1) → H
  9. Segment(G, H) → l
  10. Vector(G, H) → v
  11. Vector(H, G) → w

AI Drawing Prompt Reference

Draw a quadrilateral formed by four points, then create its reflection across one of its sides. Continue reflecting subsequent images across the corresponding sides of the reflected shapes repeatedly to form a complex geometric pattern that demonstrates symmetry and fractal properties.
The prompt above was compiled from the original drawing commands and is for reference only.