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Cross Sections of a Cube by Steve Phelps

Cross Sections of a Cube by Steve Phelps
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2017-03-27 19:28
Coordinate GeometrySolid GeometryGeometric Construction
In collections Sections of 3D Shapes
This example demonstrates the cross sections of a cube. Key mathematical concepts include solid geometry and geometric construction. Using GeoGebra commands such as Point, Cube, Translate, IntersectPath, and Rotate, various cross sections of the cube can be constructed. Suitable for middle school and above students or teachers.

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. Translate(Rotate[Rotate[Plane[xAxis, yAxis], tt, xAxis], rr, zAxis], Vector[(0, 0, ud)]) → b
  4. IntersectPath(b, a) → poly1, I, i, j, k, J, K, L, M, N, f, g, h
  5. Rotate(Rotate[Translate[poly1, Vector[(0, 0, (-ud))]], (-rr), zAxis], (-tt), xAxis) → poly2