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Rotated Cardioids

Rotated Cardioids
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2018-06-21 17:41
TrigonometrySequenceCoordinate Geometry
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This example demonstrates the generation of 3D shapes by rotating cardioid curves. It involves core mathematical concepts such as coordinate geometry, trigonometry, sequences, and transformations. The construction utilizes GeoGebra commands and objects like Circle, Sequence, and Rotate. Suitable for high school and above students to understand spatial geometry and the application of parametric equations.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Sequence(Circle[Point[c, k], C], k, 0, 1, 0.02) → L_1
  3. Rotate(L_1, 90°) → L_{2}
  4. Rotate(L_{2}, 90°) → L_3
  5. Rotate(L_3, 90°) → L_4