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Hexagonal Pyramid Construction by Antoinette Olivares

Hexagonal Pyramid Construction by Antoinette Olivares
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2016-05-14 04:46
PolygonVectorSolid GeometryGeometric Construction
This example demonstrates the 3D geometric construction and net of a hexagonal pyramid. It involves core math concepts like polygons, solid geometry, vectors, and quadratic functions. Key GeoGebra commands and objects used include Polygon, Pyramid, Net, and PointIn, as summarized. Suitable for high school geometry education and understanding 3D shapes.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 6) → poly1, f, F, g, h, i, j, k, C, D, E
  2. Pyramid(poly1, 0) → a, G, edgeCG, edgeDG, edgeEG, edgeFG, faceABG, faceBCG, faceCDG, faceDEG, faceEFG, faceAFG, edgeAG, edgeBG
  3. Pyramid(poly1, c) → d, I, edgeCI, edgeDI, edgeEI, edgeFI, faceABI, faceBCI, faceCDI, faceDEI, faceEFI, faceAFI, edgeAI, edgeBI
  4. Net(d, b) → e, H, R, S, T, faceHJKLMN, faceHJO, faceJKP, faceKLQ, faceLMR, faceMNS, faceHNT, J, edgeHJ, edgeJK, edgeKL, edgeLM, edgeMN, edgeHN, edgeHO, edgeJO, edgeJP, edgeKP, K, edgeKQ, edgeLQ, edgeLR, edgeMR, edgeMS, edgeNS, edgeNT, edgeHT, L, M, N, O, P, Q
  5. PointIn(faceLMR) → PointfaceLMR
  6. PointIn(faceKLQ) → PointfaceKLQ
  7. PointIn(faceJKP) → PointfaceJKP
  8. PointIn(faceHJO) → PointfaceHJO
  9. PointIn(faceHNT) → PointfaceHNT
  10. PointIn(faceMNS) → PointfaceMNS
  11. PointIn(faceHJKLMN) → PointfaceHJKLMN