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The Power of Super Symmetry

The Power of Super Symmetry
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2019-04-20 00:56
VectorTransformationGeometric Construction
This example illustrates the concept of super symmetry, involving geometric mean and symmetry transformations. Using GeoGebra commands such as Circle, Point, Line, Intersect, Segment, and Rotate, a dynamic geometric figure is constructed. Suitable for high school and above students to learn about geometric transformations and symmetry.

GeoGebra Commands & Parameters

  1. Circle(A, a) → c
  2. Circle(A, b) → d
  3. Point(d) → J
  4. Circle(J, e) → p
  5. Point(p) → F
  6. Line(F, J) → h
  7. Intersect(p, h, 2) → D
  8. Segment(F, D) → i
  9. Point(c) → E
  10. Rotate(E, 180°, A) → W
  11. Segment(E, W) → f
  12. Segment(F, W) → g
  13. Segment(F, E) → j
  14. Segment(D, W) → k
  15. Segment(D, E) → l

AI Drawing Prompt Reference

Draw a figure with two concentric circles, where the diameter of one circle is the radius of the other. Take a point J on the smaller circle and draw a circle p centered at J. Find another intersection point F on circle p. Connect F and J, and find the other intersection point D. Draw line segment FD. With F as the center and W as the symmetric point, draw symmetric line segments. Connect FD, FW, FE, DW, and DE to form a symmetric figure.
The prompt above was compiled from the original drawing commands and is for reference only.