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Cube Cross Section by Mathieu Blossier

Cube Cross Section by Mathieu Blossier
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2016-07-13 00:12
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the cross section of a cube. Key mathematical concepts include solid geometry and geometric construction. Using GeoGebra commands such as Cube, Plane, Translate, and IntersectPath, the construction of a cube and its cross-section is illustrated. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Cube(A, B, C) → a_1, D, faceCDHG, faceEFGH, arêteAD, arêteAB, arêteBC, arêteCD, arêteAE, arêteDH, arêteEH, arêteEF, E, arêteBF, arêteFG, arêteCG, arêteGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  2. Plane(H, F, A) → b
  3. Translate(b, Vector[(0, 0, a)]) → b'
  4. IntersectPath(b', a_1) → poly1, I, i, j, k, J, K, L, M, N, f, g, h