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Transformation and Art

Transformation and Art
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2018-01-24 23:12
PolygonVectorTransformation
This example demonstrates the creation of artistic patterns through geometric transformations (rotation, translation) and vector operations. It involves core math concepts like polygon construction, vector calculations, rotation, and translation. GeoGebra commands and objects used include Point, Polygon, Rotate, Vector, Translate, and Textfield. Suitable for high school mathematics teaching or math clubs exploring the application of geometric transformations in art.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, C) → t1, c, a, b
  4. Rotate(A, α, D) → A'_1
  5. Rotate(B, α, D) → B'_1
  6. Rotate(C, α, D) → C'_1
  7. Polygon(A'_1, B'_1, C'_1) → t1'_1, c'_1, a'_1, b'_1
  8. Vector(G, H) → u
  9. Translate(A'_1, u) → I
  10. Translate(B'_1, u) → J
  11. Translate(C'_1, u) → K
  12. Polygon(I, J, K) → t2, k, i, j
  13. Textfield(α) → InputBox1