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Pentagonal Pyramid

Pentagonal Pyramid
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2016-05-14 02:25
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction of a pentagonal pyramid. It involves key concepts in polygon and solid geometry. Using GeoGebra commands such as Polygon, Pyramid, and Net, the base and sides of the pentagonal pyramid can be constructed. Suitable for middle school and above students to learn about the geometric properties and spatial visualization of a pentagonal pyramid.

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 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 side faces, completing the pyramid. Next, create the net by unfolding the base and all five side faces onto the same plane, resulting in a flat layout consisting of one pentagon and five triangles. Place a point inside each triangular face of the net and one point inside the pentagon to mark each face. Show the correspondence between the 3D pyramid and its 2D net.
The prompt above was compiled from the original drawing commands and is for reference only.