MathPlotAI Logo MathPlotAI

Pantaloni Disks

Pantaloni Disks
Loading the math board and drawing, please wait…
2016-01-20 03:08
CirclePolygonTransformationGeometric Construction
This example demonstrates Moiré patterns created by rotating and overlaying disks. Core math concepts include rotation, congruence, circumcircle, means, reflection, and division. Construction highlights the use of GeoGebra commands and objects like Intersect, Point, Midpoint, Polygon, Vector, Sequence, Circle, and Translate. Suitable for high school students learning geometric transformations and pattern generation.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Midpoint(A, B) → D
  4. Polygon(A, B, C) → poly1, a, b, c
  5. Vector(D, C) → v
  6. Vector(A, B) → u
  7. Vector(A, C) → w
  8. Midpoint(Corner[1], Corner[3]) → E
  9. Vector(A, E) → e
  10. Sequence(Polygon[Translate[A, Vector[e + (i * u)]], Translate[B, Vector[e + (i * u)]], Translate[C, Vector[e + (i * u)]]], i, (-N), N) → list5
  11. Sequence(Translate[list5, Vector[(i * w)]], i, (-N), N) → list6
  12. Circle(E, (0.45 * (y(Corner[4]) - y(Corner[1])))) → d
  13. Vector(A, G) → h
  14. Translate(Rotate[list6, α, E], h) → list6'