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Tessellation from Rectangle (Step 1)

Tessellation from Rectangle (Step 1)
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2013-07-12 06:18
PolygonTrigonometryGeometric Construction
In collections Tessellation from Rectangle using Translation
This example demonstrates how to construct a fractal pattern using rectangles and equilateral triangles. Core math concepts include polygons, equations, and geometric construction. Construction highlights involve commands like Segment, OrthogonalLine, Point, and Intersect in GeoGebra; suitable for middle school and above students learning geometric constructions and fractal geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(B, a) → c
  4. Point(b) → C
  5. OrthogonalLine(C, b) → d
  6. Intersect(c, d) → D
  7. Segment(C, A) → e
  8. Segment(D, B) → f
  9. Segment(C, D) → g
  10. Segment(A, E) → h
  11. Segment(E, F) → i
  12. Segment(F, G) → j
  13. Segment(G, H) → k
  14. Segment(H, C) → l

AI Drawing Prompt Reference

Draw a fractal pattern using rectangles and equilateral triangles, starting with a rectangle. From the midpoint of one side, draw perpendicular lines to both adjacent sides, find their intersection points, and connect these points to form new geometric shapes. Repeat this process iteratively to create a fractal design.
The prompt above was compiled from the original drawing commands and is for reference only.