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Circle Art Sequence 2

Circle Art Sequence 2
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2018-11-14 01:22
CircleSequenceTransformationGeometric ConstructionSlider Animation
This example demonstrates the creation of complex circular art patterns through rotation and sequence construction. It involves core mathematical concepts such as Arithmetic Mean, Percentages, Cuboid, Plane Figures or Shapes, and Median Value. The construction uses GeoGebra commands like Sequence and Rotate, with objects including l1, l4, l3, l2, l1', l1'_1, l1'_2, l1'_3. It is suitable for high school mathematics education, showcasing the application of transformations and sequences in geometric art.

GeoGebra Commands & Parameters

  1. Sequence((x - l^(2))^(2) + y^(2) = l^(2), l, 1, 5, 1) → l1
  2. Sequence(x^(2) + (y - l^(2))^(2) = l^(2), l, 1, 5, 1) → l4
  3. Sequence(x^(2) + (y + l^(2))^(2) = l^(2), l, 1, 5, 1) → l3
  4. Sequence((x + l^(2))^(2) + y^(2) = l^(2), l, 1, 5, 1) → l2
  5. Rotate(l1, 45°) → l1'
  6. Rotate(l1, 135°) → l1'_1
  7. Rotate(l1, 225°) → l1'_2
  8. Rotate(l1, 315°) → l1'_3