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Sunlight Refraction in a Prism

Sunlight Refraction in a Prism
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2013-02-06 00:52
TrigonometryCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the refraction and dispersion of sunlight passing through a prism, involving geometric optics, trigonometry, polygon construction, rotation, and continuity. It utilizes commands like RotateText, Polygon, Midpoint, Corner, Line, Point, OrthogonalLine, Circle, Intersect from GeoGebra for construction. Suitable for high school physics and mathematics education to visualize the principles of light dispersion and geometric transformations.

GeoGebra Commands & Parameters

  1. RotateText("\copyright uStas\;\;Strelets", 90*°) → надпись24
  2. Polygon(C_2, D_2, 8) → многоугольник1, c, F_2, G_2, H, I, J_2, d, a, b, e, f, g, h_1, E_2
  3. Midpoint(C_2, G_2) → D_3
  4. Polygon(B, B_1, C_1, C) → многоугольник2, b_1, b_2, c_1, c_2
  5. Polygon(C, C_1, D_1, D) → многоугольник3, c_3, c_4, d_1, d_2
  6. Polygon(D, D_1, E_1, E) → многоугольник4, d_3, d_4, e_1, e_2
  7. Polygon(E, E_1, F_1, F) → многоугольник5, e_3, e_4, f_1, f_2
  8. Polygon(F, F_1, G_1, G) → многоугольник6, f_3, f_4, g_1, g_2
  9. Polygon(G, G_1, J_1, J) → многоугольник7, g_3, g_4, j_1, j
  10. Polygon(J, J_1, A_1, A) → многоугольник8, j_2, j_3, a_1, a_2
  11. Polygon(B, A, A_1, B_1) → многоугольник9, b_3, a_3, a_4, b_4
  12. Polygon(C_1, B_1, A_1, J_1, G_1, F_1, E_1, D_1) → многоугольник10, c_5, b_5, a_5, j_4, g_5, f_5, e_5, d_5
  13. Polygon(D, E, F, G, J, A, B, C) → многоугольник11, d_6, e_6, f_6, g_6, j_5, a_6, b_6, c_6
  14. Corner(4) → P
  15. Corner(2) → Q
  16. Line(P, Q) → l
  17. Line(O, l) → p
  18. Point(p) → R
  19. OrthogonalLine(R, p) → q
  20. Point(q) → S
  21. Circle(R, S) → r
  22. Intersect(r, q) → T, U
  23. Point(p) → K
  24. OrthogonalLine(K, p) → s
  25. Point(s) → M
  26. Circle(K, M) → t
  27. Intersect(t, s) → V, W
  28. Polygon(C_1, B_1, A_1, J_1, G_1, F_1, E_1, D_1) → многоугольник12, c_7, b_7, a_7, j_6, g_7, f_7, e_7, d_7
  29. Polygon(C_1, B_1, A_1, J_1, G_1, F_1, E_1, D_1) → многоугольник13, c_8, b_8, a_8, j_7, g_8, f_8, e_8, d_8

AI Drawing Prompt Reference

Draw a prism to demonstrate the refraction and dispersion of sunlight passing through it. Start by constructing an octagon as the prism, then draw a line from one vertex to represent the incident light, and create a perpendicular line to it. Based on these, draw circles and find their intersections, then connect the key points with polygons to form the light path and dispersion effects.
The prompt above was compiled from the original drawing commands and is for reference only.