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Pyramid Net by Arthur Lee

Pyramid Net by Arthur Lee
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2013-12-26 12:18
PolygonSolid GeometryGeometric Construction
This example demonstrates the net of a pyramid and its geometric properties. It involves core math concepts like polygons, trapezoids, combinatorics, binomial distribution, and variance. Construction highlights include using commands such as Polygon, Segment, OrthogonalLine, Circle, Intersect, and Distance in GeoGebra. Suitable for high school and above students studying solid geometry and combinatorial mathematics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Segment(A, E) → e
  3. Segment(D, E) → f
  4. OrthogonalLine(E, d) → g
  5. OrthogonalLine(F, g) → h
  6. Circle(A, E) → k
  7. Circle(D, E) → p
  8. Intersect(p, h, 2) → H
  9. Segment(D, H) → i
  10. Intersect(k, h, 1) → G
  11. Segment(A, G) → j
  12. Segment(G, B) → l
  13. Circle(B, G) → q
  14. Intersect(q, g, 2) → I
  15. Segment(B, I) → m
  16. Segment(C, H) → n
  17. Segment(C, I) → r
  18. Polygon(D, J, C) → poly2, c_1, d_1, j_1
  19. Polygon(C, K, B) → poly3, b_1, c_2, k_1
  20. Polygon(E, D, A) → poly4, a_1, e_1, d_2
  21. Polygon(A, B, G) → poly5, g_1, a_2, b_2
  22. Distance(E, D) → distanceED
  23. Distance(E, A) → distanceEA
  24. Distance(A, G) → distanceAG
  25. Distance(G, B) → distanceGB
  26. Distance(D, J) → distanceDJ
  27. Distance(C, J) → distanceCJ
  28. Distance(C, K) → distanceCK
  29. Distance(K, B) → distanceKB

AI Drawing Prompt Reference

Draw the net of a pyramid. Start by drawing a square ABCD. Then, draw lines from points A and D to point E, where E is on the extension of AD. Next, draw perpendicular lines from E to the lines AD and DC, intersecting at points F and G. Draw circles with centers at A and D and radius AE, intersecting the perpendicular lines at points H and I. Connect DH and BI, then connect CI and BH. Finally, draw triangles DJC and KCB, and triangle AEF. Label the lengths of AE and DE.
The prompt above was compiled from the original drawing commands and is for reference only.