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Hexagonal Pyramid

Hexagonal Pyramid
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2017-09-11 17:26
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction of a hexagonal pyramid. Key mathematical concepts include polygons, solid geometry, and geometric construction. Using GeoGebra commands such as Sequence, Point, Polygon, and Pyramid, the various faces and edges of the hexagonal pyramid are constructed. Suitable for high school geometry education and learning.

GeoGebra Commands & Parameters

  1. Sequence((cos(((2 * π) * n / 6)), sin(((2 * π) * n / 6)), 0), n, 0, 5) → list1
  2. Point(list1) → A
  3. Point(list1) → B
  4. Point(list1) → C
  5. Point(list1) → D_1
  6. Point(list1) → E
  7. Point(zAxis) → M
  8. Point(list1) → D
  9. Point(list1) → F
  10. Polygon(C, D, E, F, A, B) → poly1, c, g, e, h_1, a_1, b
  11. Pyramid(poly1, M) → d, faceCFG, edgeFH, l, edgeBF, faceEFG, faceEFH, faceAFH, faceABF, faceBCF, edgeCF, edgeFG, edgeEF
  12. Segment(A, D) → f
  13. Segment(B, E) → i
  14. Segment(F, C) → j
  15. Intersect(j, i) → O
  16. Segment(O, M) → h
  17. Segment(K, M) → k
  18. Segment(K, O) → a
  19. Angle(B, K, O) → α
  20. Angle(A, K, M) → β
  21. Angle(K, O, M) → γ

AI Drawing Prompt Reference

Draw a hexagonal pyramid by first creating a hexagon in the XY plane, then drawing a vertex on the Z-axis, and connecting each vertex of the hexagon to the vertex to form the pyramid's faces and edges.
The prompt above was compiled from the original drawing commands and is for reference only.