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Cubes Arrangement

Cubes Arrangement
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2020-05-22 02:57
Solid GeometryTransformationGeometric Construction
This example demonstrates the arrangement of cubes. It involves basic concepts in solid geometry, such as the construction and arrangement of cubes. Using GeoGebra commands like Sequence, Join, Mirror, etc., it dynamically shows the changes in the arrangement of cubes. Suitable for students at the junior high school level and above to learn solid geometry and spatial imagination.

GeoGebra Commands & Parameters

  1. Sequence((x(O) + (R * cos(i)), y(O) + (R * sin(i)), z(O) + R), i, 0, (2 * π), (2 * π / n)) → l1
  2. Join(Sequence[Rotate[Rotate[Rotate[l1, i + c, xAxis], i + c, yAxis], i + c, zAxis], i, 1, (2 * π), (2 * π / m)]) → l2
  3. Mirror(l2, O) → l2'
  4. Sequence(Vector[O, Element[l2, i]], i, 1, Length[l2]) → l3
  5. Sequence(Vector[O, Element[l2', i]], i, 1, Length[l2]) → l4
  6. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  7. Cube(A, B, C) → b, D, faceCDHG, faceEFGH, arêteAD, arêteAB, arêteBC, arêteCD, arêteAE, arêteDH, arêteEH, arêteEF, E, arêteBF, arêteFG, arêteCG, arêteGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  8. Sequence(Rotate[Translate[b, Vector[Element[l3, i]]], t + ((2 * π) * i / p), Element[l2, i]], i, 1, Length[l2]) → l5
  9. Sequence(Rotate[Translate[b, Vector[Element[l4, i]]], t + ((2 * π) * i / p), Element[l2', i]], i, 1, Length[l2]) → l6
  10. Element(l5, A1) → B1
  11. Element(l5, A2) → B2
  12. Element(l5, A3) → B3
  13. Element(l5, A4) → B4
  14. Element(l5, A5) → B5
  15. Element(l5, A6) → B6
  16. Element(l5, A7) → B7
  17. Element(l5, A8) → B8
  18. Element(l5, A9) → B9
  19. Element(l5, A10) → B10
  20. Element(l5, A11) → B11
  21. Element(l5, A12) → B12
  22. Element(l5, A13) → B13
  23. Element(l5, A14) → B14
  24. Element(l5, A15) → B15
  25. Element(l5, A16) → B16
  26. Element(l5, A17) → B17
  27. Element(l5, A18) → B18
  28. Element(l5, A19) → B19
  29. Element(l5, A20) → B20
  30. Element(l5, A21) → B21
  31. Element(l5, A22) → B22
  32. Element(l5, A23) → B23
  33. Element(l5, A24) → B24
  34. Element(l5, A25) → B25
  35. Element(l5, A26) → B26
  36. Element(l5, A27) → B27
  37. Element(l5, A28) → B28
  38. Element(l5, A29) → B29
  39. Element(l5, A30) → B30
  40. Element(l5, A31) → B31
  41. Element(l5, A32) → B32
  42. Element(l5, A33) → B33
  43. Element(l5, A34) → B34
  44. Element(l5, A35) → B35
  45. Element(l5, A36) → B36
  46. Element(l5, A37) → B37
  47. Element(l5, A38) → B38
  48. Element(l5, A39) → B39
  49. Element(l5, A40) → B40
  50. Element(l5, A41) → B41
  51. Element(l5, A42) → B42
  52. Element(l5, A43) → B43
  53. Element(l5, A44) → B44
  54. Element(l5, A45) → B45
  55. Element(l5, A46) → B46
  56. Element(l5, A47) → B47
  57. Element(l5, A48) → B48
  58. Element(l5, A49) → B49
  59. Element(l5, A50) → B50
  60. Element(l5, A51) → B51
  61. Element(l5, A52) → B52
  62. Element(l5, A53) → B53
  63. Element(l5, A54) → B54
  64. Element(l5, A55) → B55
  65. Element(l5, A56) → B56
  66. Element(l5, A57) → B57
  67. Element(l5, A58) → B58
  68. Element(l5, A59) → B59
  69. Element(l5, A60) → B60
  70. Element(l6, A1) → C1
  71. Element(l6, A2) → C2
  72. Element(l6, A3) → C3
  73. Element(l6, A4) → C4
  74. Element(l6, A5) → C5
  75. Element(l6, A6) → C6
  76. Element(l6, A7) → C7
  77. Element(l6, A8) → C8
  78. Element(l6, A9) → C9
  79. Element(l6, A10) → C10
  80. Element(l6, A11) → C11
  81. Element(l6, A12) → C12
  82. Element(l6, A13) → C13
  83. Element(l6, A14) → C14
  84. Element(l6, A15) → C15
  85. Element(l6, A16) → C16
  86. Element(l6, A17) → C17
  87. Element(l6, A18) → C18
  88. Element(l6, A19) → C19
  89. Element(l6, A20) → C20
  90. Element(l6, A21) → C21
  91. Element(l6, A22) → C22
  92. Element(l6, A23) → C23
  93. Element(l6, A24) → C24
  94. Element(l6, A25) → C25
  95. Element(l6, A26) → C26
  96. Element(l6, A27) → C27
  97. Element(l6, A28) → C28
  98. Element(l6, A29) → C29
  99. Element(l6, A30) → C30
  100. Element(l6, A31) → C31
  101. Element(l6, A32) → C32
  102. Element(l6, A33) → C33
  103. Element(l6, A34) → C34
  104. Element(l6, A35) → C35
  105. Element(l6, A36) → C36
  106. Element(l6, A37) → C37
  107. Element(l6, A38) → C38
  108. Element(l6, A39) → C39
  109. Element(l6, A40) → C40
  110. Element(l6, A41) → C41
  111. Element(l6, A42) → C42
  112. Element(l6, A43) → C43
  113. Element(l6, A44) → C44
  114. Element(l6, A45) → C45
  115. Element(l6, A46) → C46
  116. Element(l6, A47) → C47
  117. Element(l6, A48) → C48
  118. Element(l6, A49) → C49
  119. Element(l6, A50) → C50
  120. Element(l6, A51) → C51
  121. Element(l6, A52) → C52
  122. Element(l6, A53) → C53
  123. Element(l6, A54) → C54
  124. Element(l6, A55) → C55
  125. Element(l6, A56) → C56
  126. Element(l6, A57) → C57
  127. Element(l6, A58) → C58
  128. Element(l6, A59) → C59
  129. Element(l6, A60) → C60