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Rotation of XV Logo

Rotation of XV Logo
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2018-06-15 01:34
Coordinate GeometryTransformation
This example demonstrates the geometric construction of a rotating XV logo. It involves core concepts such as rotation, coordinates, and combinatorics. Using GeoGebra commands like Circle, Intersect, Sequence, Bezier, Point, and Segment, complex geometric shapes can be constructed. Suitable for high school mathematics education and learning geometric transformations.

GeoGebra Commands & Parameters

  1. Circle((0, 0), r) → c
  2. Intersect(c, yAxis, 2) → A
  3. Sequence(Rotate[A, ((i * 360) * ° / division)], i, 1, division) → L_1
  4. Intersect(xAxis, yAxis) → B
  5. Bezier(B, C, D, A) → a
  6. Sequence(Rotate[a, ((i * 360) * ° / division)], i, 1, division) → L_2
  7. Point(a) → H
  8. Point(L_2) → I
  9. Segment(H, I) → f
  10. Sequence(Segment[Rotate[H, ((i * 360) * ° / division)], Rotate[I, ((i * 360) * ° / division)]], i, 1, division) → L_3
  11. Segment(C, B) → g
  12. Segment(D, A) → h