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Symmetry Number for 10 Points

Symmetry Number for 10 Points
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2019-05-25 03:21
CirclePolygonTransformation
This example demonstrates the symmetry of 10 points and their geometric transformations. It involves core mathematical concepts like symmetry, geometric transformations, polygons, and centroids. Constructed using GeoGebra commands such as Circle, Point, Segment, and Barycenter. Suitable for high school mathematics students and geometry enthusiasts.

GeoGebra Commands & Parameters

  1. Circle(Z, a) → c
  2. Point(c) → A
  3. Segment(Z, A) → g
  4. Point(c) → J
  5. Segment(Z, J) → q
  6. Point(c) → I
  7. Segment(Z, I) → p
  8. Point(c) → H
  9. Segment(Z, H) → n
  10. Point(c) → G
  11. Segment(Z, G) → m
  12. Point(c) → F
  13. Segment(Z, F) → l
  14. Point(c) → E
  15. Segment(Z, E) → k
  16. Point(c) → D
  17. Segment(Z, D) → j
  18. Point(c) → C
  19. Segment(Z, C) → i
  20. Point(c) → B
  21. Segment(Z, B) → h
  22. Barycenter({A, B, C, D, E, F, G, H, I, J}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1}) → Centroid
  23. Point(c) → K
  24. Segment(Z, K) → radius