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kaylie number stack example

kaylie number stack example
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2019-11-20 01:41
PolygonFunctionTrigonometrySequenceGeometric Construction
In collections Pyramid Puzzles
This example demonstrates complex geometric patterns and number sequence relationships through polygon constructions and function graphing; core math concepts include tangent functions, fractal geometry, natural numbers, frequency distribution, and polynomial functions; construction highlights involve GeoGebra commands like Polygon and Midpoint for building and animating shapes; suitable for high school mathematics students and enthusiasts exploring function-geometry interactions.

GeoGebra Commands & Parameters

  1. Polygon(A_2, B_2, 4) → poly1, f, g, h, i, C_2, D_2
  2. Polygon(D_2, C_2, 4) → poly2, j, k, l, m, E, F
  3. Polygon(F, E, 4) → poly3, n, p, q, r, G, H
  4. Polygon(H, G, 4) → poly4, s, t, a_2, b_2, I_1, J
  5. Midpoint(F, H) → M
  6. Midpoint(H, J) → N
  7. Midpoint(A_2, D_2) → K
  8. Midpoint(D_2, F) → L
  9. Polygon(K, L, 4) → poly5, c, d, e, f_1, O, P
  10. Polygon(O, L, 4) → poly7, k_1, l_1, m_1, n_1, S, T
  11. Polygon(T, M, 4) → poly8, p_1, q_1, r_1, s_1, U, V
  12. Midpoint(P, O) → Q
  13. Midpoint(O, T) → R
  14. Midpoint(T, V) → W
  15. Polygon(Q, R, 4) → poly6, g_1, h_1, i_1, j_1, Z, A_1
  16. Polygon(Z, R, 4) → poly9, t_1, a_1, b_1, c_1, B_1, C_1
  17. Midpoint(A_1, Z) → D_1
  18. Midpoint(Z, C_1) → E_1
  19. Polygon(D_1, E_1, 4) → poly10, d_1, e_1, f_2, g_2, F_1, G_1

AI Drawing Prompt Reference

Create a geometric pattern of nested and stacked squares. Start with a large square, then construct additional squares on its sides, each sharing an edge with the previous one, extending outward in a spiral or stepped arrangement. Continue this process to form a chain of squares. Then, take midpoints between adjacent vertices of these squares and use them to construct new squares, further subdividing the pattern. The result is a complex, symmetric arrangement of polygons with multiple layers, suitable for exploring relationships between geometry and number sequences.
The prompt above was compiled from the original drawing commands and is for reference only.