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Cross Sections of a Cube by Aedamar Frawley

Cross Sections of a Cube by Aedamar Frawley
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2019-02-14 06:52
Solid GeometryTransformationGeometric Construction
This example demonstrates the cross sections of a cube. Key mathematical concepts include solid geometry and geometric construction. Using commands like Rotate, Point, Cube, and IntersectPath, various cross sections of the cube can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Rotate(Translate[Rotate[Plane[(0, 0, 0), (0, 1, 0), (1, 0, 0)], b, xAxis], Vector[(0, 0, d)]], c, zAxis) → e
  2. Point(Circle[(1, -1, -1), Distance[(-1, -1, -1), (1, -1, -1)], Segment[(-1, -1, -1), (1, -1, -1)]]) → A
  3. Cube((-1, -1, -1), (1, -1, -1), A) → g, B, faceABFE, faceCDEF, edge2, edge1, edge4, edgeAB, edge3, edgeBF, edgeCF, edgeCD, C, edge5, edgeDE, edgeAE, edgeEF, D, E, F, face1, face3, face2, face4
  4. IntersectPath(e, g) → poly1, G, H, I, J, f, h, i, j