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Temperature vs. Time Multiplication: Hyperbola, Orthocenter & Coordinates

Temperature vs. Time Multiplication: Hyperbola, Orthocenter & Coordinates
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2018-05-21 22:33
PolygonCoordinate GeometryProbability & StatisticsTransformation
This GeoGebra example visualizes the multiplication relationship between temperature and time through dynamic simulation. Key mathematical concepts involved are hyperbola, orthocenter, coordinate geometry, Poisson distribution, and rotation. The construction utilizes commands such as Polygon, Segment, If, alongside InputBox and Textfield objects for interactivity. It is designed for high school or university mathematics education, aiding in the visualization of abstract functional relationships and geometric properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Textfield(cmin) → InputBox1
  3. Textfield(cmax) → InputBox2
  4. Textfield(a) → InputBox3
  5. Textfield(outputmin) → InputBox4
  6. Textfield(outputmax) → InputBox5
  7. Textfield(p) → InputBox6
  8. Segment(E, F) → j
  9. Textfield(a) → InputBox3_1
  10. Textfield(outputmin) → InputBox4_1
  11. Textfield(outputmax) → InputBox5_1
  12. Segment(E_1, F_1) → j_1
  13. Polygon(A_1, B_1, 4) → poly1_1, f_1, g_1, h_1, i_1, C_1, D_1
  14. Textfield(a) → InputBox3_2
  15. Textfield(outputmin) → InputBox4_2
  16. Textfield(outputmax) → InputBox5_2
  17. Textfield(a) → InputBox3_3
  18. Textfield(outputmin) → InputBox4_3
  19. Textfield(outputmax) → InputBox5_3
  20. Textfield(a) → InputBox3_4
  21. Textfield(outputmin) → InputBox4_4
  22. Textfield(outputmax) → InputBox5_4
  23. Textfield(a) → InputBox3_5
  24. Textfield(outputmin) → InputBox4_5
  25. Textfield(outputmax) → InputBox5_5
  26. Textfield(a) → InputBox3_6
  27. Textfield(outputmin) → InputBox4_6
  28. Textfield(outputmax) → InputBox5_6
  29. Textfield(a) → InputBox3_7
  30. Textfield(outputmin) → InputBox4_7
  31. Textfield(outputmax) → InputBox5_7
  32. If(ZeroToOne < 94 / 256, 255, 94 / 256 ≤ ZeroToOne ≤ 210 / 256, ((-2.198 * (ZeroTo256 - 210))) / 256, ZeroToOne > 210 / 256, 0) → blue
  33. If(ZeroToOne < 37 / 256, 0, 37 / 256 ≤ ZeroToOne ≤ 179 / 256, (48.845 * (ZeroTo256 - 37)^(1 / 3) / 256), ZeroToOne > 179 / 256, 1) → red
  34. If(ZeroToOneTwo < 94 / 256, 255, 94 / 256 ≤ ZeroToOneTwo ≤ 210 / 256, ((-2.198 * (ZeroTo256Two - 210))) / 256, ZeroToOneTwo > 210 / 256, 0) → blue2
  35. If(ZeroToOneTwo < 37 / 256, 0, 37 / 256 ≤ ZeroToOneTwo ≤ 179 / 256, (48.845 * (ZeroTo256Two - 37)^(1 / 3) / 256), ZeroToOneTwo > 179 / 256, 1) → red2
  36. Textfield(rate) → InputBox7
  37. Segment(E_2, F_2) → k
  38. Segment(E_2, H) → l

AI Drawing Prompt Reference

Create a dynamic visualization showing the multiplication relationship between temperature and time, featuring a polygon and interactive input boxes to display functional relationships, with color changes to distinguish different regions, geometric structures built from polygons and segments, highlighting coordinate geometry and rotation transformations.
The prompt above was compiled from the original drawing commands and is for reference only.