A Symmetry Challenge - v1

A Symmetry Challenge - v1
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2015-12-12 21:39

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Midpoint(A, B) → E
  3. Midpoint(B, C) → F
  4. Circle(E, Distance[A, B] / 6) → e
  5. Circle(F, Distance[A, B] / 6) → f
  6. Intersect(e, a) → G, H
  7. Intersect(f, b) → I, J
  8. OrthogonalLine(G, a) → g
  9. OrthogonalLine(H, a) → h
  10. Line(I, a) → i
  11. Line(J, a) → j
  12. Segment(B, C) → k
  13. Segment(C, D) → l
  14. Segment(D, A) → m
  15. Intersect(g, l) → K
  16. Intersect(h, l) → L
  17. Intersect(i, m) → M
  18. Intersect(j, m) → N
  19. Segment(G, K) → n
  20. Segment(H, L) → p
  21. Segment(M, I) → q
  22. Segment(N, J) → r
  23. Line(O, a) → s
  24. OrthogonalLine(O, s) → t
  25. Circle(O, Distance[A, B] / 3) → c_1
  26. Intersect(c_1, t, 2) → P_1
  27. Polygon(O, P_1, 4) → poly2, a_1, b_1, d_1, e_1, Q_1, R_1
  28. Line(P, a) → f_1
  29. OrthogonalLine(P, a) → g_1
  30. Circle(P, Distance[A, B] / 3) → h_1
  31. Intersect(h_1, g_1, 2) → S
  32. Polygon(P, S, 4) → poly3, i_1, j_1, k_1, l_1, T, U
  33. Line(Q, a) → m_1
  34. OrthogonalLine(Q, a) → n_1
  35. Circle(Q, Distance[A, B] / 3) → p_1
  36. Intersect(p_1, n_1, 2) → V
  37. Polygon(Q, V, 4) → poly4, q_1, r_1, s_1, t_1, W, Z
  38. Line(R, a) → a_2
  39. OrthogonalLine(R, a) → b_2
  40. Circle(R, Distance[A, B] / 3) → c_2
  41. Intersect(c_2, b_2, 2) → A_1
  42. Polygon(R, A_1, 4) → poly5, d_2, e_2, f_2, g_2, B_1, C_1
  43. Line(X, Y) → h_2

AI Drawing Prompt Reference

Draw a cube, then draw a square on each face, with the sides of the squares perpendicular to the cube's edges. Next, draw a circle at the center of each square, tangent to the square's sides. Finally, draw a circle with each square's center as the center, tangent to the square's sides, creating a series of symmetric shapes.
The prompt above was compiled from the original drawing commands and is for reference only.