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Symmetry Numbers in Irregular Polygons

Symmetry Numbers in Irregular Polygons
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2019-05-23 09:56
PolygonGeometric Construction
This example demonstrates how to calculate and visualize symmetry numbers in irregular polygons. Key math concepts include polygons, centroid, symmetry, and geometric transformations. It uses GeoGebra commands like Polygon, Barycenter, Circle, Point, and Segment to construct polygons and calculate centroids. Suitable for high school and above mathematics learners to understand polygon symmetry and geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F, G, H) → poly1, a, b, c, d, e, f, g, h
  2. Barycenter({A, B, C, D, E, F, G, H}, {1, 1, 1, 1, 1, 1, 1, 1}) → Centroid
  3. Circle(Centroid, R) → k
  4. Point(k) → I
  5. Segment(H, I) → j
  6. Segment(B, I) → l
  7. Segment(A, I) → m
  8. Segment(C, I) → n
  9. Segment(G, I) → p
  10. Segment(F, I) → q
  11. Segment(E, I) → r
  12. Segment(D, I) → s
  13. Point(k) → J
  14. Segment(Centroid, J) → Radius