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Splitting a Cube into Pyramids

Splitting a Cube into Pyramids
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2018-01-17 05:26
PolygonSolid GeometryGeometric Construction
This example demonstrates how to split a cube into multiple pyramids. Key mathematical concepts include solid geometry and geometric construction. Using the Polygon and Pyramid commands, multiple pyramid faces are constructed, illustrating the process of splitting the cube. Suitable for middle school and above students or teachers to understand basic concepts of solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(C, B, D, E) → poly1, c, b, d, e
  2. Pyramid(poly1, A) → f, faceABC, faceABD, faceADE, faceACE, edgeAC, edgeAB, edgeAD, edgeAE
  3. Polygon(I, J, H, G) → poly2, i, j, h, g
  4. Pyramid(poly2, F) → k, faceFIJ, faceFHJ, faceFGH, faceFGI, edgeFI, edgeFJ, edgeFH, edgeFG
  5. Polygon(L, M, O, N) → poly3, l, m, o, n
  6. Pyramid(poly3, K) → p, faceKLM, faceKMO, faceKNO, faceKLN, edgeKL, edgeKM, edgeKO, edgeKN