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Multiplication Wheel: Constructing Cardioids and Nephroids

Multiplication Wheel: Constructing Cardioids and Nephroids
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2020-05-20 21:45
SequenceCoordinate GeometryGraphing
This example demonstrates how a multiplication wheel mysteriously constructs cardioids and nephroids. It involves core mathematical concepts such as multiplication and sequences. Using the Sequence command in GeoGebra, dynamic construction of these curves is achieved. Suitable for high school mathematics education, particularly in coordinate geometry and function graphing.

GeoGebra Commands & Parameters

  1. Sequence((cos(((k * 2) * π / n)), sin(((k * 2) * π / n))), k, 0, n - 1) → list1
  2. Sequence(Segment[Element[list1, k], Element[list1, Mod[(a * k) - 1, n] + 1]], k, 1, n) → list2