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Paper Flipper Animation

Paper Flipper Animation
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2020-07-17 00:24
PolygonVectorGeometric Construction
In collections Action Modular Origami
This example demonstrates a paper flipper model from the book 'Action Modular Origami' published by Tarquin (ISBN: 9781911093947). The model involves geometric transformations and polygon construction. Using GeoGebra commands such as Intersect, Line, Vector, Translate, Rotate, etc., the flipping process is dynamically shown. Suitable for secondary school and above geometry education.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, xAxis) → Q
  2. Line(N, O) → n
  3. Line(L, M) → m
  4. Vector((0, 0, (-offset))) → v
  5. Translate(n, v) → n'
  6. Rotate(E, (-α), m) → E'
  7. Polygon(E', P, Q, F) → poly4, e'_1, p, q, f_1
  8. Translate(poly4, Vector[v / 2]) → poly4'
  9. Rotate(poly4', (-β), n') → poly4''
  10. Translate(Rotate[poly4'', (-γ), Translate[m, Vector[(3 * v)]]], Vector[(v * (γ / 180)°)]) → poly4'''
  11. Polygon(A, B, C, D) → poly1, a, b, c, d
  12. Translate(m, Vector[(4 * v)]) → m'
  13. Rotate(poly1, (-α), m) → poly1'
  14. Rotate(F, (-α), m) → F'
  15. Rotate(G, (-α), m) → G'
  16. Polygon(E', F', G') → poly2', g', e', f'
  17. Polygon(E, F, G) → poly2, g, e, f
  18. Translate(Polygon[H, I, J, K], Vector[(0 * v)]) → poly3
  19. Rotate(poly2', (-β), Translate[n, v]) → poly2''
  20. Translate(Rotate[Rotate[poly3, (-β), Translate[n, v]], (-δ), Translate[n, Vector[(5 * v)]]], Vector[((5 * v) * (δ / 180)°)]) → poly3'
  21. Rotate(poly1', (-γ), Translate[m, Vector[(3 * v)]]) → poly1''
  22. Translate(Rotate[poly2'', (-γ), Translate[m, Vector[(3 * v)]]], Vector[((3 * v) * (γ / 180)°)]) → poly2'''
  23. Translate(Rotate[poly4''', (-δ), Translate[n, Vector[(4 * v)]]], Vector[((4 * v) * (δ / 180)°)]) → poly6
  24. Translate(Rotate[poly2''', (-δ), Translate[n, Vector[(4 * v)]]], Vector[((4 * v) * (δ / 180)°)]) → poly5
  25. Point(xAxis) → R
  26. Point(yAxis) → S
  27. Point(zAxis) → T
  28. Plane(Q, R, T) → l
  29. Plane(S, T, Q) → o
  30. Mirror(poly1'', l) → poly1'''
  31. Mirror(poly3', o) → poly3''
  32. Mirror(poly6, o) → poly6'
  33. Mirror(poly6, l) → poly6'_1
  34. Mirror(poly6', l) → poly6''
  35. Mirror(poly5, l) → poly5'
  36. Mirror(poly5, o) → poly5'_1
  37. Mirror(poly5', o) → poly5''

AI Drawing Prompt Reference

Create a paper-flipping animation model with multiple polygonal sheets in 3D space. Start by defining coordinate axes and base planes, then construct an initial quadrilateral sheet. Generate copies through rotations and translations, each flipping around auxiliary lines at specific angles. Add mirror planes to reflect some sheets symmetrically, creating a dynamic folding effect. The model shows sequential geometric transformations, illustrating the paper's transition from flat to folded states, suitable for secondary geometry education.
The prompt above was compiled from the original drawing commands and is for reference only.