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Cube Construction and Net

Cube Construction and Net
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2019-12-05 18:55
Solid GeometryMatrixOptimization
This example demonstrates how to construct a cube and its net using GeoGebra commands, involving core mathematical concepts like solid geometry, matrices, logarithmic functions, sine functions, geometric distribution, and optimization problems. Key construction steps include using commands like Segment, Point, Cube, and Net. Suitable for high school and above students learning spatial geometry, matrix applications, and mathematical modeling.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  3. 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
  4. Net(a, b) → c, I, R, S, T, U, V, faceIJKL, faceILNM, faceIJRQ, faceJKTS, faceKLVU, J, faceMNOP, edgeIL, edgeIJ, edgeJK, edgeKL, edgeLN, edgeMN, edgeIM, edgeIQ, edgeQR, K, edgeJR, edgeJS, edgeST, edgeKT, edgeKU, edgeUV, edgeLV, edgeNO, edgeOP, edgeMP, L, M, N, O, P, Q