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3D Multiplication Table

3D Multiplication Table
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2020-06-07 01:13
SequenceCoordinate GeometrySolid Geometry
This is a 3D multiplication table that demonstrates the distribution of multiplication in three-dimensional space. Key mathematical concepts include multiplication and 3D geometry. Using GeoGebra commands Sequence and Element, a 3D multiplication table is constructed. Suitable for high-grade elementary and junior high school students to learn multiplication and 3D geometry.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[Prism[Polygon[{((i - 1) / m, (j - 1) / n, 0), (i / m, (j - 1) / n, 0), (i / m, j / n, 0), ((i - 1) / m, j / n, 0)}], f((i - 1) / m, (j - 1) / n)], i, 1, m], j, 1, n) → l1
  2. Sequence(Translate[O, Vector[(i * Vector[O, O + (1, 0, 0)])]], i, 0, 1, 1 / 11) → l2
  3. Element(l1, A1) → B1
  4. Element(l1, A2) → B2
  5. Element(l1, A3) → B3
  6. Element(l1, A4) → B4
  7. Element(l1, A5) → B5
  8. Element(l1, A6) → B6
  9. Element(l1, A7) → B7
  10. Element(l1, A8) → B8
  11. Element(l1, A9) → B9
  12. Element(l1, A10) → B10
  13. Element(l1, A11) → B11
  14. Element(l1, A12) → B12
  15. Element(l1, A13) → B13
  16. Element(l1, A14) → B14
  17. Element(l1, A15) → B15
  18. Sequence(Element[l2, i] + (-0.02, 0.032, 0), i, 1, Length[l2]) → l4
  19. Sequence(Text[i - 1, Element[l2, i] + (0.055, 0.02, 0)], i, 2, Length[l2] - 1) → l3
  20. Sequence(Translate[O, Vector[(i * Vector[O, O + (0, 1, 0)])]], i, 0, 1, 1 / 11) → l5
  21. Sequence(E + (-0.025, (0.09 * i), (0.085 * i)), i, 1, 10) → l7
  22. Sequence(Text[(10 * i), Element[l7, i]], i, 1, Length[l7]) → l8
  23. Sequence(Text[i - 1, Element[l5, i] + (0.055, 0.015, 0)], i, 2, Length[l2] - 1) → l6