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Different Nets of a Cube

Different Nets of a Cube
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2018-01-07 15:26
PolygonSolid GeometryGeometric Construction
In collections Mathematics Form 2
This example demonstrates various nets of a cube, illustrating the concept of solid geometry and polygonal combinations. It involves commands like Line, Rotate, and SelectedIndex in GeoGebra to dynamically show how different 2D nets fold into 3D cube structures. Ideal for middle school and above students to explore spatial reasoning and the diversity of cube nets.

GeoGebra Commands & Parameters

  1. Line(G, H) → h
  2. Line(A, B) → g
  3. Line(C, B) → i
  4. Rotate(g, ((d * 90))°, i) → l
  5. Rotate(Rotate[h, ((d * 90))°, i], ((-((d * 90))))°, l) → n
  6. Line(D, C) → f
  7. Rotate(f, ((d * 90))°, i) → f'
  8. Line(D, A) → j
  9. Rotate(j, ((-((d * 90))))°, g) → j'
  10. Rotate(Rotate[h, ((-((d * 90))))°, g], (((-d) * 90))°, j') → k
  11. Rotate(h, ((-((d * 90))))°, g) → h'
  12. Rotate(Rotate[i, ((-((d * 90))))°, g], ((-((d * 90))))°, h') → i'_2
  13. Rotate(i, ((d * 90))°, f) → i'
  14. Rotate(Polygon[A, B, C, D], ((d * 0))°, i) → ABCD
  15. Rotate(Polygon[D, C, F, E], ((d * 90))°, f) → DCFE'
  16. Rotate(Polygon[B, M, L, C], ((d * 90))°, i) → BMLC'
  17. Rotate(Polygon[R, A, D, Q], ((-((d * 90))))°, j) → RADQ'
  18. Rotate(Polygon[G, H, B, A], ((-((d * 90))))°, g) → GHBA'
  19. Rotate(Rotate[Polygon[C, L, K, F], ((d * 90))°, f], ((d * 90))°, i') → CLKF'
  20. Rotate(Rotate[Polygon[I, J, H, G], ((-((d * 90))))°, g], ((-((d * 90))))°, h') → IJHG'
  21. Rotate(i, ((-((d * 90))))°, g) → i'_1
  22. Rotate(Rotate[Rotate[Polygon[J, P, N, H], ((-((d * 90))))°, g], ((-((d * 90))))°, h'], ((d * 90))°, i'_2) → JPNH'
  23. Rotate(Rotate[Polygon[S, G, A, R], ((-((d * 90))))°, g], (((-d) * 90))°, j') → SGAR'
  24. Rotate(Rotate[Polygon[H, N, M, B], ((-((d * 90))))°, g], ((d * 90))°, i'_1) → HNMB'
  25. Rotate(j, ((d * 90))°, f) → j'_1
  26. Rotate(Rotate[Polygon[Q, D, E, U], ((d * 90))°, f], ((-((d * 90))))°, j'_1) → QDEU'
  27. Rotate(Rotate[Rotate[Polygon[T, I, G, S], ((-((d * 90))))°, g], ((-((d * 90))))°, j'], ((-((d * 90))))°, k) → TIGS'
  28. Rotate(Rotate[Polygon[C, L, K, F], ((d * 90))°, i], ((d * 90))°, f') → CLKF''
  29. Rotate(Rotate[Rotate[Polygon[J, P, N, H], ((d * 90))°, i], ((-((d * 90))))°, l], ((-((d * 90))))°, n) → JPNH''
  30. Rotate(Rotate[Polygon[H, N, M, B], ((d * 90))°, i], ((-((d * 90))))°, l) → HNMB''
  31. Rotate(Line[E, F], ((d * 90))°, f) → m
  32. Rotate(Rotate[Polygon[E, F, V, W], ((d * 90))°, f], ((d * 90))°, m) → EFVW'
  33. SelectedIndex(Bahasa) → nn
  34. Rotate(Prism[Polygon[A, B, C, D], a], 0°, i) → b