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Other Spirals

Other Spirals
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2018-11-09 16:27
Complex NumberParametric EquationGeometric Construction
This example demonstrates various types of spirals, including logarithmic and Archimedean spirals. It involves complex numbers, polar coordinates, and parametric equations. Using GeoGebra commands such as Polygon, Midpoint, Point, Angle, and Sequence, the spirals can be dynamically constructed. Suitable for high school mathematics education and research.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Midpoint(D, B) → E
  3. Point(a) → F
  4. Angle(A, E, F) → α
  5. Sequence(Dilate[Rotate[poly1, (α * k), E], r^(k), E], k, 0, n) → list1