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Rotation of Cube

Rotation of Cube
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2016-02-07 23:10
Solid GeometryTransformationGeometric Construction
This example demonstrates the rotation of a cube. The core mathematical concepts involved include rotation transformations in solid geometry. Using GeoGebra commands such as Cube and Sequence, the faces and edges of the cube are constructed. Suitable for teaching and learning solid geometry.

GeoGebra Commands & Parameters

  1. Cube((-1, -1, -1), (1, -1, -1), (1, 1, -1)) → c, A, face5, faceBCDE, arête2, arête1, arête4, arête6, arête3, arêteAE, arêteBE, arêteBC, B, arête5, arêteCD, arête7, arêteDE, C, D, E, face1, face3, face2, face4
  2. Sequence(Rotate[c, i, Line[(0, 0, 0), (1, 1, 1)]], i, (2 * π / ((3 * (n + 1)))), (2 * π / 3) - (2 * π / ((3 * (n + 1)))), (2 * π / ((3 * (n + 1))))) → liste1
  3. Sequence(Rotate[c, i, Line[(0, 0, 0), (1, -1, 1)]], i, (2 * π / ((3 * (n + 1)))), (2 * π / 3) - (2 * π / ((3 * (n + 1)))), (2 * π / ((3 * (n + 1))))) → liste2
  4. Sequence(Rotate[c, i, Line[(0, 0, 0), (-1, -1, 1)]], i, (2 * π / ((3 * (n + 1)))), (2 * π / 3) - (2 * π / ((3 * (n + 1)))), (2 * π / ((3 * (n + 1))))) → liste3
  5. Sequence(Rotate[c, i, Line[(0, 0, 0), (-1, 1, 1)]], i, (2 * π / ((3 * (n + 1)))), (2 * π / 3) - (2 * π / ((3 * (n + 1)))), (2 * π / ((3 * (n + 1))))) → liste4