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Pentagonal Pyramid by Luciano rivera

Pentagonal Pyramid by Luciano rivera
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2016-05-18 00:46
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction and net of a pentagonal pyramid, involving core concepts like polygons, solid geometry, and spatial relationships. Key GeoGebra commands used include Polygon, Pyramid, Net, and PointIn for geometric construction and visualization, suitable for high school geometry education and practice.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 5) → poly1, f, g, h, i, j, C, D, E
  2. Pyramid(poly1, b) → c, G, edgeDG, edgeEG, faceABG, faceBCG, faceCDG, faceDEG, faceAEG, edgeAG, edgeBG, edgeCG
  3. Net(c, a) → d, F, P, faceFHIJK, faceFHL, faceHIM, faceIJN, faceJKO, faceFKP, edgeFH, edgeHI, edgeIJ, H, edgeJK, edgeFK, edgeFL, edgeHL, edgeHM, edgeIM, edgeIN, edgeJN, edgeJO, edgeKO, I, edgeKP, edgeFP, J, K, L, M, N, O
  4. PointIn(faceJKO) → PointfaceJKO
  5. PointIn(faceIJN) → PointfaceIJN
  6. PointIn(faceHIM) → PointfaceHIM
  7. PointIn(faceFHL) → PointfaceFHL
  8. PointIn(faceFKP) → PointfaceFKP
  9. PointIn(faceFHIJK) → PointfaceFHIJK

AI Drawing Prompt Reference

Draw a regular pentagonal pyramid and its net. Start with a regular pentagon as the base on a plane. Place an apex point directly above the center of the base, then connect the apex to each vertex of the pentagon to form five triangular lateral faces, completing the pyramid. Next, unfold the lateral faces along the edges so they lie flat around the base, creating a net consisting of the base pentagon and five adjacent triangles. Finally, place one point inside each triangular face and one point inside the base pentagon to mark each face.
The prompt above was compiled from the original drawing commands and is for reference only.