MathPlotAI Logo MathPlotAI

Times Table

Times Table
Loading the math board and drawing, please wait…
2020-02-24 02:39
SequenceCoordinate Geometry
This example dynamically demonstrates the multiplication table, visually showcasing the relationships between numbers. It involves core mathematical concepts such as sequences, coordinate geometry, and geometric constructions. GeoGebra commands like Sequence, Segment, Circle, Textfield, Intersect, Rotate, and CurveCartesian are used in the construction. Suitable for middle school and above students to understand multiplication principles and geometric representations, as well as for teaching demonstrations.

GeoGebra Commands & Parameters

  1. Sequence(((r * cos(((j * 2) * π / m))), (r * sin(((j * 2) * π / m)))), j, 0, m - 1) → l1
  2. Sequence(Segment[Element[l1, i + 1], ((r * cos((((n * i / m) * 2) * π))), (r * sin((((n * i / m) * 2) * π))))], i, 0, m - 1) → l2
  3. Segment(Element[l1, k + 1], ((r * cos((((n * k / m) * 2) * π))), (r * sin((((n * k / m) * 2) * π))))) → s
  4. Element(l1, k + 1) → P
  5. Circle((0, 0), f) → d
  6. Textfield(max) → EF1
  7. Textfield(delta) → EF2
  8. Intersect(d, Line[M_3, (0, 0)]) → B, C
  9. Rotate(B, ((n - 1) * a) + π, M_3) → A
  10. Circle(M_3, (r - f) / 2) → e
  11. CurveCartesian(((r + f) / 2 * cos(u)) + ((r - f) / 2 * cos((n * u))), ((r + f) / 2 * sin(u)) + ((r - f) / 2 * sin((n * u))), u, 0, a) → b
  12. Circle((0, 0), r) → c
  13. Segment(A, Mirror[A, M_3]) → g

AI Drawing Prompt Reference

Create a dynamic visualization of a multiplication table. Start by placing a set of points evenly spaced around a circle, representing the base numbers. From each point, draw a line segment to a corresponding point on another circle, with the connections determined by a multiplication factor, creating an intersecting pattern. Add a concentric reference circle and two adjustable input fields for the multiplication factor and the number of points. Finally, draw a parametric curve inside the circle and an auxiliary line segment to illustrate the geometric transformation of the multiplication relationship. The overall figure should clearly show the multiplicative connections between numbers.
The prompt above was compiled from the original drawing commands and is for reference only.