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Power of Super Symmetry by Timur Kapitsa

Power of Super Symmetry by Timur Kapitsa
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2019-04-19 09:49
TransformationGeometric Construction
This example demonstrates the application and transformation effects of super symmetry in geometric figures. Core mathematical concepts include geometric distribution, geometric mean, symmetry, geometric transformations, percentage calculations, differential equations, etc. Construction highlights involve GeoGebra commands/objects like Circle, Line, Intersect, Polygon, Point, Angle, Segment, and LineBisector. Suitable for high school and above learners to understand complex geometric transformations and symmetry principles.

GeoGebra Commands & Parameters

  1. Circle(A, a) → c
  2. Line(B, A) → f
  3. Line(C, A) → g
  4. Intersect(c, f, 1) → D
  5. Intersect(c, f, 2) → E
  6. Intersect(c, g, 2) → F
  7. Intersect(c, g, 1) → G
  8. Polygon(E, F, 4) → poly1, h, i, j, k, H, I
  9. Circle(A, b) → d
  10. Point(d) → J
  11. Circle(J, e) → p
  12. Point(p) → K_1
  13. Angle(G, D, F) → α
  14. Angle(D, F, E) → β
  15. Angle(F, E, G) → γ
  16. Angle(E, G, D) → δ
  17. Line(K_1, J) → m
  18. Intersect(p, m, 2) → L
  19. Segment(K_1, L) → l
  20. LineBisector(K_1, L) → n
  21. Segment(K_1, D) → r
  22. Segment(K_1, G) → s
  23. Segment(K_1, E) → t
  24. Segment(K_1, F) → f_1
  25. Segment(L, D) → g_1
  26. Segment(L, G) → h_1
  27. Segment(L, E) → i_1
  28. Segment(L, F) → j_1