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Hexagonal Pyramid by ADRIANA

Hexagonal Pyramid by ADRIANA
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2016-05-14 02:34
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction of a hexagonal pyramid. Key mathematical concepts include polygons and solid geometry. Using commands like Polygon, Pyramid, Net, Point, and PointIn in GeoGebra, the base and sides of the hexagonal pyramid can be constructed. Suitable for high school students studying solid geometry.

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. Net(a, b) → c, H, Q, R, S, faceHIJKLM, faceHIN, faceIJO, faceJKP, faceKLQ, faceLMR, faceHMS, I, edgeHI, edgeIJ, edgeJK, edgeKL, edgeLM, edgeHM, edgeHN, edgeIN, edgeIO, edgeJO, J, edgeJP, edgeKP, edgeKQ, edgeLQ, edgeLR, edgeMR, edgeMS, edgeHS, K, L, M, N, O, P
  4. Pyramid(poly1, 0) → d, T, edgeCT, edgeDT, edgeET, edgeFT, faceABT, faceBCT, faceCDT, faceDET, faceEFT, faceAFT, edgeAT, edgeBT
  5. Pyramid(poly1, l) → m, V, edgeCV, edgeDV, edgeEV, edgeFV, faceABV, faceBCV, faceCDV, faceDEV, faceEFV, faceAFV, edgeAV, edgeBV
  6. Point(zAxis) → U
  7. Point(edgeDG) → W
  8. PointIn(faceKLQ) → PointfaceKLQ
  9. PointIn(faceIJO) → PointfaceIJO
  10. PointIn(faceLMR) → PointfaceLMR
  11. PointIn(faceHMS) → PointfaceHMS
  12. PointIn(faceHIN) → PointfaceHIN
  13. PointIn(faceJKP) → PointfaceJKP
  14. PointIn(faceDET) → PointfaceDET
  15. PointIn(faceCDT) → PointfaceCDT
  16. PointIn(faceEFT) → PointfaceEFT
  17. PointIn(faceAFT) → PointfaceAFT
  18. PointIn(faceABT) → PointfaceABT
  19. PointIn(faceBCT) → PointfaceBCT

AI Drawing Prompt Reference

Draw a hexagonal pyramid by first creating a hexagon as the base, then constructing the sides of the pyramid from the center of the hexagon. Next, draw the net of the hexagonal pyramid, and finally place points on each face to ensure at least one point per face.
The prompt above was compiled from the original drawing commands and is for reference only.