Cube Symmetry

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Cube Symmetry

  1. 1. Animations from Cabri 3D 1. Planes of symmetry of a cube Adrian Oldknow November 2004
  2. 2. A new Cabri 3D page
  3. 3. Create a ray
  4. 4. and a point on the ray
  5. 5. Use point symmetry
  6. 6. Rotate for a 3 rd point
  7. 7. Reflect for the 4 th point
  8. 8. Draw a parallel
  9. 9. Construct a perpendicular
  10. 10. Find the intersection point
  11. 11. Point symmetry again
  12. 12. and some reflections
  13. 13. Draw a perpendicular
  14. 14. Draw a circle around an axis
  15. 15. Find the intersections
  16. 16. Create a parallel plane
  17. 17. Create another perpendicular
  18. 18. and find the intersection
  19. 19. Start tidying up!
  20. 20. Another perpendicular
  21. 21. Point symmetry for the others
  22. 22. Hide some constructions
  23. 23. Until all you see are points!
  24. 24. Now join up some dots
  25. 25. And reflect in the mid-plane
  26. 26. The cube is nearly there
  27. 27. At last – a cube!
  28. 28. Hide the spare dots
  29. 29. Colour the edges
  30. 30. Label the vertices
  31. 31. Spin it a bit
  32. 32. Define a polygon
  33. 33. Is it in a plane of symmetry?
  34. 34. Here’s one diagonal
  35. 35. Is the other diagonal equal?
  36. 36. How many diagonals like this?
  37. 37. And like this?
  38. 38. Did you get all these?
  39. 39. How many planes like this?
  40. 40. And like this?
  41. 41. Here are 2 joining green edges
  42. 42. And the third: the edge bisector
  43. 43. So how many planes of symmetry does a cube have?
  44. 44. Dots at the centres of each face
  45. 45. What shape do they make?
  46. 46. Looks familiar?
  47. 47. Well, that’s another story!

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