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# 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!