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Paula's Friezes

Paula's Friezes
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2020-05-22 02:35
DerivativeTransformationGeometric Construction
This example demonstrates Paula's friezes through mirror transformations and geometric constructions. Key mathematical concepts include symmetry and geometric transformations. It uses commands like Point, LineBisector, and Mirror. Suitable for high school geometry and calculus courses.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 2]) → A2
  2. LineBisector(A, A2) → f
  3. Mirror(pic1, f) → pic1'
  4. Point(Circle[B, 2]) → B2
  5. Point(Circle[C, 2]) → C2
  6. Point(Circle[D, 2]) → D2
  7. Point(Circle[E, 2]) → E2
  8. Point(Circle[F, 2]) → F2
  9. Point(Circle[G, 2]) → G2
  10. Point(Circle[H, 2]) → H2
  11. Mirror(pic2, LineBisector[B, B2]) → pic2'
  12. Mirror(pic3, LineBisector[C, C2]) → pic3'
  13. Mirror(pic4, LineBisector[D, D2]) → pic4'
  14. Mirror(pic5, LineBisector[E, E2]) → pic5'
  15. Mirror(pic6, LineBisector[F, F2]) → pic6'
  16. Mirror(pic7, LineBisector[G, G2]) → pic7'
  17. Mirror(pic8, LineBisector[H, H2]) → pic8'