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Parallelogrammatic Pyramid

Parallelogrammatic Pyramid
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2020-03-17 16:12
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction of a parallelogrammatic pyramid. Key mathematical concepts include polygons, solid geometry, and geometric construction. Using GeoGebra commands such as Polygon, Pyramid, and Net, the example visually illustrates the net and faces of the pyramid. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. Pyramid(q1, f) → g, F, faceABF, faceBCF, faceCDF, faceADF, edgeAF, edgeBF, edgeCF, edgeDF
  3. Net(g, OpenClose) → h, E, faceEGJ, faceGHK, faceHIL, faceEIM, edgeEG, edgeGH, edgeHI, edgeEI, edgeEJ, edgeGJ, G, edgeGK, edgeHK, edgeHL, edgeIL, edgeIM, edgeEM, H, I, J, K, L, M, faceEGHI
  4. OrthogonalLine(B, edgeEI, space) → i
  5. Intersect(i, edgeEI) → N
  6. Angle(B, N, A) → α
  7. PointIn(faceEGHI) → PointfaceEGHI
  8. OrthogonalLine(K, edgeGH, space) → k
  9. Intersect(k, edgeGH) → O
  10. OrthogonalLine(M, edgeEI, space) → m
  11. Intersect(m, edgeEI) → P
  12. Angle(M, P, D) → γ
  13. OrthogonalLine(J, edgeEG, space) → p
  14. OrthogonalLine(L, edgeHI, space) → q
  15. Intersect(edgeHI, q) → Q
  16. Intersect(edgeEG, p) → S
  17. Angle(J, S, A) → ζ
  18. Segment(S, J) → f_1
  19. Segment(P, M) → g_1
  20. Segment(N, B) → i_1
  21. Segment(D, C) → m_1
  22. Segment(C, B) → n_1
  23. Intersect(edgeEJ, edgeGJ) → R
  24. Intersect(edgeEM, edgeIM) → T
  25. Segment(G, E) → j
  26. Segment(E, I) → l
  27. Length(d) → e
  28. Length(i_1) → n
  29. Length(g_1) → o
  30. Length(a) → r
  31. Length(f_1) → s

AI Drawing Prompt Reference

Draw a parallelogrammatic pyramid, showing its net and faces. Start by constructing a parallelogram as the base, then build the pyramid on top of it, labeling all its faces and edges. Next, create the net of the pyramid, laying out its faces flat and marking key points and edges. Finally, calculate and label some key angles and the lengths of certain segments to illustrate the geometric properties of the pyramid.
The prompt above was compiled from the original drawing commands and is for reference only.