MathPlotAI Logo MathPlotAI

Truchet Tiles: Quarter Circles

Truchet Tiles: Quarter Circles
Loading the math board and drawing, please wait…
2019-11-18 06:55
CircleProbability & Statistics
This example demonstrates Truchet tiles using quarter circles. Key mathematical concepts include circles and stochastic processes. Using GeoGebra commands such as Point, CircleSector, Intersect, PolyLine, and Sequence, complex patterns can be constructed. Suitable for secondary school mathematics education, particularly in geometry and probability & statistics.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Point(yAxis) → C
  3. Point(yAxis) → D
  4. CircleSector((-1, -1), (1, -1), (-1, 1)) → c
  5. Intersect(xAxis, yAxis) → E
  6. Point(xAxis) → F
  7. PolyLine(D, E, F) → f
  8. Sequence(Sequence[Translate[Rotate[c, RandomElement[{0, π / 2, π, (3 * π / 2)}]], (a, b)], a, -10, 10, 2], b, -10, 10, 2) → l1