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Prism Nets

Prism Nets
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2019-05-02 04:04
PolygonVectorSolid GeometryGeometric Construction
This example demonstrates the net of a prism and its folding process. It involves core mathematical concepts like polygons, solid geometry, surface area calculation, vectors, and angles. GeoGebra commands and objects used include Vector, Polygon, Prism, Net, Line, and Angle. Suitable for high school students learning solid geometry, spatial visualization, and geometric construction.

GeoGebra Commands & Parameters

  1. Vector(Q, R) → u
  2. Polygon(A, B, C) → t1, c, a, b
  3. Prism(t1, D) → d, E, edgeDE, edgeEF, edgeDF, F, faceABED, faceBCFE, faceACFD, faceDEF, edgeAD, edgeBE, edgeCF
  4. Net(d, n) → e, G, P, faceGHI, faceGHKJ, faceHIML, faceGINO, faceJKP, edgeGH, edgeHI, edgeGI, edgeGJ, H, edgeJK, edgeHK, edgeHL, edgeLM, edgeIM, edgeIN, edgeNO, edgeGO, edgeKP, edgeJP, I, J, K, L, M, N, O
  5. Line((0, 0, 0), (0, 0, 1)) → f
  6. Angle(f, Line[(0, 0, 0), (1, -1, 0)]) → α