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Nested and Rotated Cubes

Nested and Rotated Cubes
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2017-10-09 06:33
Solid GeometryTransformationGeometric Construction
This example demonstrates nested and rotated cubes. It involves the geometric construction of cubes and how to use GeoGebra commands to create complex geometric figures. By adjusting parameters, you can observe the dynamic changes in the cubes. Suitable for high school geometry and solid geometry courses.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  3. Sequence(Dilate[Rotate[Rotate[Rotate[a, (i * π / 36), yAxis], (i * π / 36), zAxis], (i * π / 36), xAxis], 0.88^(i)], i, 1, 36) → L
  4. Take(L, 1, n) → L1