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Gyroelongated Square Bipyramid

Gyroelongated Square Bipyramid
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2022-04-07 17:46
PolygonTrigonometrySolid GeometryGeometric Construction
This example demonstrates the 3D geometric shape of a gyroelongated square bipyramid. Key math concepts include polygons, solid geometry, trigonometry, and geometric construction. Construction highlights involve commands like Polygon, points (A-I), sliders (t1-t8), and polygons (f, f_1, f_2). Suitable for high school and above students to learn complex 3D geometric constructions and properties.

GeoGebra Commands & Parameters

  1. Polygon(A, D, F) → t1, f, a, d
  2. Polygon(A, C, D) → t2, d_1, a_1, c
  3. Polygon(A, E, F) → t3, f_1, a_2, e
  4. Polygon(A, E, C) → t4, c_1, a_3, e_1
  5. Polygon(E, I, C) → t5, c_2, e_2, i
  6. Polygon(F, H, E) → t6, e_3, f_2, h
  7. Polygon(H, I, E) → t7, e_4, h_1, i_1
  8. Polygon(F, J, H) → t8, h_2, f_3, j
  9. Polygon(C, G, D) → t9, d_2, c_3, g
  10. Polygon(D, J, G) → t10, g_1, d_3, j_1
  11. Polygon(D, J, F) → t11, f_4, d_4, j_2
  12. Polygon(C, I, G) → t12, g_2, c_4, i_2
  13. Polygon(I, B, G) → t13, g_3, i_3, b
  14. Polygon(G, B, J) → t14, j_3, g_4, b_1
  15. Polygon(J, H, B) → t15, b_2, j_4, h_3
  16. Polygon(H, B, I) → t16, i_4, h_4, b_3

AI Drawing Prompt Reference

Draw a 3D shape resembling a double square pyramid with a central vertical axis, where the base is a square and the top is an equilateral triangle above the center, forming four isosceles triangular sides that extend outward, all faces being regular polygons.
The prompt above was compiled from the original drawing commands and is for reference only.