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Coin Rotation Paradox

Coin Rotation Paradox
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2020-07-07 01:08
AngleFunctionTransformation
Illustrates the coin rotation paradox involving rotation, linear functions, and straight lines. Using GeoGebra commands such as circle, segment, angle, and rotate, it demonstrates geometric transformations of a coin's rotation. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Circle(A, (Distance[A, B] * (ratio + 1) / ratio)) → d
  4. Point(d) → C
  5. Circle(C, Distance[A, B] / ratio) → e
  6. Radius(e) → re
  7. Line(A, C) → g
  8. Circle(A, B) → c
  9. Intersect(c, g, 2) → G
  10. Angle(G, A, B) → q
  11. If(b, Rotate[G, (-rq), C], G) → G_0
  12. Angle(G_0, C, G) → α'
  13. Rotate(G, π / 2 - If[b, rq, hq], C) → R
  14. Rotate(G, (3 * π / 2) - If[b, rq, hq], C) → L
  15. Segment(L, R) → f
  16. Radius(d) → a
  17. Radius(d) → rd

AI Drawing Prompt Reference

Draw a coin rotation paradox illustration, starting with the intersection point A of a horizontal and vertical line, then draw two circles d and e with A and B as centers respectively. Draw a line g connecting A and C, and another circle c with A and B as centers. Mark the angle q at the intersection of g and c, then rotate G to generate G_0 and the angle α', and rotate G again to generate L and R. Finally, draw the line segment f connecting L and R.
The prompt above was compiled from the original drawing commands and is for reference only.