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Pyramid Model Demonstration

Pyramid Model Demonstration
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2014-05-14 18:19
PolygonCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates a 3D geometric model of a pyramid and its related properties. The core math concepts involved include solid geometry, polygons, coordinate geometry, and geometric construction. The construction highlights the use of commands like Segment, Textfield, and Sequence from GeoGebra. It is suitable for high school students learning solid geometry and geometric construction, serving as an educational tool for demonstration and comprehension.

GeoGebra Commands & Parameters

  1. Segment(A, AB) → qaab
  2. Segment(AB, B) → qabb
  3. Segment(B, BC) → qbbc
  4. Segment(C, BC) → qcbc
  5. Segment(CD, C) → qcdc
  6. Segment(AB, ABBC) → qababbc
  7. Segment(BC, ABBC) → qbcabbc
  8. Segment(BCCD, BC) → qbccdbc
  9. Segment(CD, BCCD) → qcdbccd
  10. Segment(ABBC, ABBCBCCD) → qabbcabbcbccd
  11. Segment(BCCD, ABBCBCCD) → qbccdabbcbccd
  12. Textfield(atxt) → abox
  13. Textfield(btxt) → bbox
  14. Segment(D, CD) → qdcd
  15. Segment(A, AB) → aab
  16. Segment(B, AB) → abb
  17. Segment(ABBC, AB) → abbcab
  18. Segment(BC, ABBC) → bcabbc
  19. Segment(ABBCBCCD, ABBC) → abbcbccdabbc
  20. Segment(ABBCBCCD, BCCD) → abbcbccdbccd
  21. Segment(CD, BCCD) → cdbccd
  22. Segment(D, CD) → dcd
  23. Segment(B, BC) → bbc
  24. Segment(BCCD, BC) → bccdbc
  25. Segment(CD, C) → cdc
  26. Segment(C, BC) → cbc
  27. Textfield(ctxt) → cbox
  28. Textfield(dtxt) → dbox
  29. Sequence({Text[Element[Element[data, n], 1], G + (0, (n * sp))], Text[Element[Element[data, n], 2], G + (w2, (n * sp))], Text[Element[Element[data, n], 3], G + ((2 * w2), (n * sp))], Text[Element[Element[data, n], 4], G + ((3 * w2), (n * sp))], Text[Element[Element[data, n], 5], G + (w2 / 2, w2 / 2 + (n * sp))], Text[Element[Element[data, n], 6], G + ((3 * w2 / 2), w2 / 2 + (n * sp))], Text[Element[Element[data, n], 7], G + ((5 * w2 / 2), w2 / 2 + (n * sp))], Text[Element[Element[data, n], 8], G + ((2 * w2 / 2), (4 * w2 / 3) + (n * sp))], Text[Element[Element[data, n], 9], G + ((4 * w2 / 2), (4 * w2 / 3) + (n * sp))], Text[Element[Element[data, n], 10], G + ((3 * w2 / 2), (8 * w2 / 4) + (n * sp))]}, n, 1, Length[data]) → SS

AI Drawing Prompt Reference

Draw a 3D pyramid model, showing its edges, vertices, and base, with labels for key points. Start by drawing the base of the pyramid, then connect the base vertices to the apex to form the sides. Add text labels to identify the vertices and edges, and display related geometric properties. Use different colors for the edges and base to make the model clear and easy to understand.
The prompt above was compiled from the original drawing commands and is for reference only.