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45 Degree Rhombus Art

45 Degree Rhombus Art
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2017-03-09 15:31
PolygonAngleTransformation
This example demonstrates the artistic construction of a 45-degree rhombus. It involves key mathematical concepts such as angles, similar triangles, and rotation. Using GeoGebra commands like `Rhombus45` and `Rotate`, one can construct aesthetically pleasing rhombus patterns. Suitable for middle school and above students learning geometric construction and transformations.

GeoGebra Commands & Parameters

  1. Rhombus45(A, 5, 0°) → poly1
  2. Rotate(poly1, 40°, A) → poly1'
  3. Rotate(poly1', 40°, A) → poly1''
  4. Rotate(poly1'', 40°, A) → poly1'''
  5. Rotate(poly1''', 40°, A) → poly2
  6. Rotate(poly2, 40°, A) → poly2'
  7. Rotate(poly2', 40°, A) → poly2''
  8. Rotate(poly2'', 40°, A) → poly2'''
  9. Rotate(poly2''', 40°, A) → poly3