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Geometric Construction of a Cube

Geometric Construction of a Cube
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2019-03-24 22:23
Solid GeometryTransformationGeometric Construction
This example demonstrates the geometric construction of a cube. Key mathematical concepts include solid geometry and geometric construction. Using GeoGebra commands such as Point, Cube, Rotate, and Line, the various faces and edges of the cube can be constructed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Point(Circle[C, Distance[A, C], Segment[A, C]]) → E
  2. Cube(A, C, E) → a, F, faceEFJI, faceGHIJ, edgeAF, edgeAC, edgeCE, edgeEF, edgeAG, edgeFJ, edgeGJ, edgeGH, G, edgeCH, edgeHI, edgeEI, edgeIJ, H, I, J, faceACEF, faceAFJG, faceACHG, faceCEIH
  3. Rotate(faceAFJG, α, xAxis) → faceAFJG'
  4. Line(B, yAxis) → b
  5. Line(C, xAxis) → c
  6. Line(E, c) → d
  7. Rotate(faceCEIH, (-α), c) → faceCEIH'
  8. Rotate(faceEFJI, (-α), d) → faceEFJI'
  9. Rotate(faceGHIJ, α, b) → faceGHIJ'
  10. Rotate(faceACEF, (-α), yAxis) → faceACEF'