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Dice Faces

Dice Faces
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2020-03-09 16:15
Solid GeometryProbability & StatisticsGeometric Construction
This example demonstrates how to construct various dice faces like squares, kites, and triangles using GeoGebra. It involves core math concepts such as geometric construction, random number generation, centroid calculation, conditional statements, and distribution visualization. Key GeoGebra commands and objects used include Polygon, Random, If, Element, Centroid, and Text. Suitable for high school and above students learning solid geometry, probability & statistics, and geometric programming.

GeoGebra Commands & Parameters

  1. Polygon(A_1, A_1 + (1, 0), A_1 + (1, -1), A_1 + (0, -1)) → poly1, a, b, c, d
  2. Polygon(A_2, A_2 + (1, 0), A_2 + (1, -1), A_2 + (0, -1)) → poly2, e, f, g, h
  3. Polygon(A_3, A_3 + (1, 0), A_3 + (1, -1), A_3 + (0, -1)) → poly3, i, j, k, l
  4. Polygon(A_4, A_4 + (1, 0), A_4 + (1, -1), A_4 + (0, -1)) → poly4, m, n, p, a_1
  5. Polygon(A_5, A_5 + (1, 0), A_5 + (1, -1), A_5 + (0, -1)) → poly5, q, r, s, t
  6. Polygon(A_6, A_6 + (1, 0), A_6 + (1, -1), A_6 + (0, -1)) → poly6, b_1, c_1, d_1, e_1
  7. Random(1, 6) → decalage
  8. If(Random[0, 1] ≟ 1, true, false) → voir3
  9. If(Random[0, 1] ≟ 1, true, false) → voir2
  10. If(Random[0, 1] ≟ 1, true, false) → voir1
  11. If(choisir, np, Random[1, 11]) → npp
  12. Element(patrons, npp) → patron
  13. Centroid(poly3) → A
  14. Centroid(poly2) → B
  15. Centroid(poly1) → C
  16. Centroid(poly6) → D
  17. Text(de6, D - (0.15, 0.15)) → txt6
  18. Centroid(poly5) → E
  19. Text(de5, E + (-0.15, -0.15)) → txt5
  20. Centroid(poly4) → F
  21. Text(de4, F - (0.15, 0.15)) → txt4
  22. Text(de2, B - (0.15, 0.15)) → txt2
  23. Centroid(poly3) → G
  24. Text(de3, G - (0.15, 0.15)) → txt3
  25. Text(de1, C - (0.15, 0.15)) → txt1

AI Drawing Prompt Reference

Draw six kites to represent the faces of a die, with numbers 1 to 6 randomly placed inside each kite. Position the numbers at offsets from the centroid of each kite, showing the geometric construction of die faces and the distribution of random numbers.
The prompt above was compiled from the original drawing commands and is for reference only.