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Pentomino Set

Pentomino Set
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2013-11-08 06:45
PolygonGeometric Construction
In collections Elementary Geometry
This example demonstrates the manipulation and transformation of pentomino shapes. It involves core math concepts like geometric tiling, area calculation, and symmetry analysis. Construction uses commands such as Point, Segment, F, Fflip, L, Lflip, I, P, Pflip, N, Nflip, T, U, W, Y, Yflip, Z, Zflip, X, V for creating and flipping pentominoes. Suitable for middle school and above for geometry learning and spatial reasoning.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 1]) → B
  2. Segment(A, B) → a
  3. Point(Circle[C, 1]) → D
  4. Segment(C, D) → b
  5. Point(Circle[E, 1]) → F
  6. Segment(E, F) → c
  7. Point(Circle[G, 1]) → H
  8. Segment(G, H) → d
  9. Point(Circle[I, 1]) → J
  10. Segment(I, J) → e
  11. Point(Circle[K, 1]) → L
  12. Segment(K, L) → f
  13. Point(Circle[M, 1]) → N
  14. Segment(M, N) → g
  15. Point(Circle[O, 1]) → P
  16. Segment(O, P) → h
  17. Point(Circle[Q, 1]) → R
  18. Segment(Q, R) → i
  19. Point(Circle[S, 1]) → T
  20. Segment(S, T) → j
  21. Point(Circle[U, 1]) → V
  22. Segment(U, V) → k
  23. Point(Circle[W, 1]) → Z
  24. Segment(W, Z) → l
  25. Point(Circle[A_1, 1]) → B_1
  26. Segment(A_1, B_1) → m
  27. Point(Circle[C_1, 1]) → D_1
  28. Segment(C_1, D_1) → n
  29. Point(Circle[E_1, 1]) → F_1
  30. Segment(E_1, F_1) → p
  31. Point(Circle[G_1, 1]) → H_1
  32. Segment(G_1, H_1) → q
  33. Point(Circle[I_1, 1]) → J_1
  34. Segment(I_1, J_1) → r
  35. Point(Circle[K_1, 1]) → L_1
  36. Segment(K_1, L_1) → s
  37. F(A, B) → poly1, poly2, R_1, S_1, T_1, U_1, V_1, poly3, poly4, poly5, M_1, N_1, O_1, P_1, Q_1
  38. Fflip(A_1, B_1) → poly6, poly7, D_2, E_2, F_2, G_2, H_2, poly8, poly9, poly10, W_1, Z_1, A_2, B_2, C_2
  39. L(C, D) → poly11, poly12, N_2, O_2, P_2, Q_2, R_2, poly13, poly14, poly15, I_2, J_2, K_2, L_2, M_2
  40. Lflip(C_1, D_1) → poly16, poly17, Z_2, A_3, B_3, C_3, D_3, poly18, poly19, poly20, S_2, T_2, U_2, V_2, W_2
  41. I(M, N) → poly21, poly22, J_3, K_3, L_3, M_3, N_3, poly23, poly24, poly25, E_3, F_3, G_3, H_3, I_3
  42. P(E, F) → poly26, poly27, T_3, U_3, V_3, W_3, Z_3, poly28, poly29, poly30, O_3, P_3, Q_3, R_3, S_3
  43. Pflip(E_1, F_1) → A_4, B_4, poly31, poly32, poly33, poly34, poly35, C_4, D_4, E_4, F_4, G_4, H_4, I_4, J_4
  44. N(G, H) → K_4, L_4, poly36, poly37, poly38, poly39, poly40, M_4, N_4, O_4, P_4, Q_4, R_4, S_4, T_4
  45. Nflip(G_1, H_1) → U_4, V_4, poly41, poly42, poly43, poly44, poly45, W_4, Z_4, A_5, B_5, C_5, D_5, E_5, F_5
  46. T(S, T) → G_5, H_5, poly46, poly47, poly48, poly49, poly50, I_5, J_5, K_5, L_5, M_5, N_5, O_5, P_5
  47. U(U, V) → Q_5, R_5, poly51, poly52, poly53, poly54, poly55, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6
  48. W(W, Z) → C_6, D_6, poly56, poly57, poly58, poly59, poly60, E_6, F_6, G_6, H_6, I_6, J_6, K_6, L_6
  49. Y(I, J) → poly61, poly62, R_6, S_6, T_6, U_6, V_6, poly63, poly64, poly65, M_6, N_6, O_6, P_6, Q_6
  50. Yflip(I_1, J_1) → poly66, poly67, D_7, E_7, F_7, G_7, H_7, poly68, poly69, poly70, W_6, Z_6, A_7, B_7, C_7
  51. Z(K, L) → I_7, J_7, poly71, poly72, poly73, poly74, poly75, K_7, L_7, M_7, N_7, O_7, P_7, Q_7, R_7
  52. Zflip(K_1, L_1) → S_7, T_7, poly76, poly77, poly78, poly79, poly80, U_7, V_7, W_7, Z_7, A_8, B_8, C_8, D_8
  53. X(O, P) → E_8, F_8, poly81, poly82, poly83, poly84, poly85, G_8, H_8, I_8, J_8, K_8, L_8, M_8, N_8
  54. V(Q, R) → O_8, P_8, poly86, poly87, poly88, poly89, poly90, Q_8, R_8, S_8, T_8, U_8, V_8, W_8, Z_8

AI Drawing Prompt Reference

Draw a set of pentomino shapes, each consisting of five connected line segments, showcasing various geometric forms. Start by creating multiple base line segments, then rotate and flip them to form different pentomino shapes like F, L, I, etc., ultimately presenting a collection of diverse pentominoes that highlight geometric tiling and symmetry.
The prompt above was compiled from the original drawing commands and is for reference only.