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HYPERCUBE? NO

HYPERCUBE? NO
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2020-07-03 16:50
Solid GeometryCalculusProbability & StatisticsGeometric Construction
This example demonstrates the 3D rotation and projection of a hypercube, involving core math concepts like solid geometry, rotation, definite integral, random variables, cylinder, natural numbers, and statistical characteristics. It utilizes GeoGebra commands and objects such as Point, Cube, Intersect, Sequence, Element. Suitable for high school students and math enthusiasts exploring higher-dimensional geometry and related applications.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[C, B], Segment[C, B]]) → E
  2. Cube(C, B, E) → a, F, FaceEFJI, FaceGHIJ, areteCF, areteBC, areteBE, areteEF, areteCG, areteFJ, areteGJ, areteGH, G, areteBH, areteHI, areteEI, areteIJ, H, I, J, FaceBCFE, FaceCFJG, FaceBCGH, FaceBEIH
  3. Intersect(xAxis, yAxis) → K
  4. Sequence(Rotate[Rotate[Dilate[Cube[C, B, E], r^(k - 1), K], (γ * (k - 1)), K], (γ * (k - 1)), xAxis], k, 1, n) → Liste1
  5. Element(Liste1, A1) → B1
  6. Element(Liste1, A2) → B2
  7. Element(Liste1, A3) → B3
  8. Element(Liste1, A4) → B4
  9. Element(Liste1, A5) → B5
  10. Element(Liste1, A6) → B6
  11. Element(Liste1, A7) → B7
  12. Element(Liste1, A8) → B8
  13. Element(Liste1, A9) → B9
  14. Element(Liste1, A10) → B10
  15. Element(Liste1, A11) → B11
  16. Element(Liste1, A12) → B12
  17. Element(Liste1, A13) → B13
  18. Element(Liste1, A14) → B14
  19. Element(Liste1, A15) → B15
  20. Element(Liste1, A16) → B16
  21. Element(Liste1, A17) → B17
  22. Element(Liste1, A18) → B18
  23. Element(Liste1, A19) → B19
  24. Element(Liste1, A20) → B20
  25. Element(Liste1, A21) → B21

AI Drawing Prompt Reference

Draw a cube, then rotate and project it around an axis to show its 3D rotation and projection, involving multiple rotated cubes to demonstrate higher-dimensional geometry and statistical characteristics.
The prompt above was compiled from the original drawing commands and is for reference only.