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PolySpiral

PolySpiral
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2017-12-17 09:40
AngleSequenceGeometric Construction
This example demonstrates how to construct spirals using divisions of regular polyhedra. It involves key concepts such as angles, linear functions, and inequalities. Using GeoGebra commands like Polygon, Angle, Sequence, and PolyLine, complex geometric shapes can be created. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Angle(C, A, B) → α
  3. Sequence(Dilate[Rotate[C, (i * α), A], (Distance[A, B] / Distance[A, C])^(i), A], i, (-n), n + 1) → L_1
  4. PolyLine(L_1) → f
  5. Sequence(Dilate[Polygon[Rotate[A, (i * α), A], Rotate[B, (i * α), A], Rotate[C, (i * α), A]], (Distance[A, B] / Distance[A, C])^(i), A], i, (-n), n) → L_2
  6. Textfield(α_0) → InputBox1