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Curve Stitching

Curve Stitching
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2019-02-22 06:06
PolygonVectorSequenceCoordinate GeometryGeometric Construction
This example demonstrates the geometric phenomenon of forming curves through a grid of points stitched together. It involves core math concepts like fractions, LCM and GCD, polygons, ratios, 2D vectors, frequency distribution, continuity, scalene triangles, and quadratic equations. Key GeoGebra commands used include Sequence and Mod, with parameters n, m, c controlling the point distribution and curve shape. Suitable for middle school and above, visualizing the connection between algebra and geometry.

GeoGebra Commands & Parameters

  1. Sequence(Segment[(cos((((2 * π)) / n * t)), sin((((2 * π)) / n * t))), (cos((((2 * π)) / m * t)), sin((((2 * π)) / m * t)))], t, 0, ((n * m)) / GCD[m, n]) → list1
  2. Sequence(Segment[(cos((((2 * π)) / m * t)) + 2.1, sin((((2 * π)) / m * t))), (cos((((2 * π)) / m * (t + n))) + 2.1, sin((((2 * π)) / m * (t + n))))], t, 0, m) → list2
  3. Mod(n, m) → a
  4. Mod(m, n) → b