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Shannon's Parabola of Wonder by Shannon Call

Shannon's Parabola of Wonder by Shannon Call
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2019-10-11 03:19
FunctionTransformationGeometric Construction
This example demonstrates Shannon's Parabola of Wonder, involving geometric distribution and transformations. Using GeoGebra commands such as points, line segments, midpoints, loci, and distances, it dynamically constructs the parabola. Suitable for high school mathematics education and learning, particularly in coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(C, D) → d
  3. Point(c) → E
  4. Point(d) → F
  5. Segment(E, F) → f
  6. Midpoint(f) → G
  7. Point(f) → H
  8. Locus(G, F) → loc1
  9. Point(loc1) → I
  10. Point(Circle[J, 20]) → K
  11. Segment(J, K) → g
  12. Point(g) → L
  13. Distance(J, L) → distanceJL
  14. Distance(L, K) → distanceLK
  15. Circle(P, Segment[K, L]) → p
  16. Circle(Q, Segment[L, J]) → q
  17. Intersect(p, q, 2) → R
  18. Intersect(p, q, 1) → S
  19. Locus(R, K) → loc2
  20. Locus(R, L) → loc3
  21. Locus(S, L) → loc4

AI Drawing Prompt Reference

Draw a geometric figure involving two circles and their intersection points, connect the intersection points to form a line segment, find the midpoint of the segment and the other endpoint, draw a locus with the midpoint as the center and the endpoint on the circle, then draw circles with the centers as the centers of the two original circles and find their intersection points, draw loci with these intersection points and one of the original circle centers as centers, resulting in a complex geometric figure composed of multiple circles and loci.
The prompt above was compiled from the original drawing commands and is for reference only.