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Cube Rotation

Cube Rotation
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2016-02-07 23:09
Solid GeometryTransformationGeometric Construction
This example demonstrates the rotation of a cube. Key mathematical concepts include rotation in solid geometry and spatial figures. Using GeoGebra commands such as Point, Cube, PointIn, Line, Sequence, etc., the faces and edges of the cube can be constructed. Suitable for high school or university-level solid geometry studies.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Cube(A, B, C) → c, D, faceCDHG, faceEFGH, arêteAD, arêteAB, arêteBC, arêteCD, arêteAE, arêteDH, arêteEH, arêteEF, E, arêteBF, arêteFG, arêteCG, arêteGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  3. PointIn(Sphere[(0, 0, 0), 2]) → J
  4. Line(I, J) → a
  5. Sequence(Rotate[c, i, xAxis], i, π / ((2 * n) + 2), π / 2 - π / ((2 * n) + 2), π / ((2 * n) + 2)) → liste2
  6. Sequence(Rotate[c, i, yAxis], i, π / ((2 * n) + 2), π / 2 - π / ((2 * n) + 2), π / ((2 * n) + 2)) → liste3
  7. Sequence(Rotate[c, i, zAxis], i, π / ((2 * n) + 2), π / 2 - π / ((2 * n) + 2), π / ((2 * n) + 2)) → liste4
  8. Sequence(Rotate[c, i, a], i, (2 * π / (n + 1)), (2 * π) - (2 * π / (n + 1)), (2 * π / (n + 1))) → liste1