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# H0.1 Symmetry

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### H0.1 Symmetry

1. 1. Geometric Art Symmetry
2. 2. Symmetry Line Bilateral Rotational Point
3. 3. Line Symmetry <ul><li>If there is a line in which you can fold the object so that every point on one side falls on the exact corresponding point on the other side, then there is line symmetry . </li></ul>
4. 4. Line Symmetry <ul><li>Fold Symmetry </li></ul><ul><li>Mirror Symmetry </li></ul><ul><li>There are synonyms for line symmetry. They are… </li></ul>
5. 5. Is a butterfly symmetrical?
6. 7. Monorah Mosque
7. 8. Frieze Pattern
8. 9. Oh Canada
9. 10. Bilateral Symmetry <ul><li>Most animals and insects have bilateral lines of symmetry. </li></ul><ul><li>If there is only one line or fold of symmetry, then it is called bilateral. </li></ul>
10. 11. This example bugs me!
11. 13. Rotational Symmetry <ul><li>If you can turn the diagram by an angle less than 360 degrees and the picture remains the same, then you have rotational symmetry. </li></ul>
12. 14. Line and Rotational Line of symmetry = Line of symmetry = Angle of rotation = Angle of rotation = 8 45 0 5 72 0
13. 15. How many folds? Angle of Rotation = 6 60 0 120 0 Just use the smallest angle of rotation. 180 0
14. 16. How many folds? 3 Angle of rotation ? 60 0
15. 17. Point Symmetry <ul><li>Point symmetry is rotational symmetry that only works at 180 degrees. </li></ul>
16. 18. Point Symmetry Angle of rotation is only 180 0
17. 19. Ambigram n., - a word or words that can be read in more than one way or from more than a single vantage point, such as both right side up and upside down. (from Latin: ambi =both + gram=letter) Rotation of 180 0
18. 20. Rotation of 180 0
19. 21. Rotation of 180 0
20. 22. Rotation of 180 0
21. 23. No because the colors do not match up.
22. 24. Examples of Symmetry <ul><li>Indicate if the symmetry is either </li></ul><ul><li>Line </li></ul><ul><li>Bilateral </li></ul><ul><li>Rotational </li></ul><ul><li>Point </li></ul><ul><li>Multiple Types </li></ul>
23. 25. Bilateral Parthanon, Athens
24. 26. How many lines of symmetry? 2 Transamerican Building San Francisco
25. 27. Angle of Rotation? 60 0 Lines of Symmetry ? 6 Guggenheim Museum, NYC
26. 28. Bilateral No ! Saudi Arabia
27. 29. Bilateral
28. 30. Reichstag, Berlin
29. 31. Bilateral
30. 32. Louvre, Paris Art Museum I.M. Pei
31. 33. Bilateral Orient Express Railroad Station, Lisbon
32. 34. Line Rotational
33. 35. Line Rotational
34. 36. Lotus Temple, New Delhi, India
35. 37. Bilateral Thorncrown Chapel, Arkansas Fay Jones
36. 38. Thorncrown Chapel, Arkansas
37. 39. Rotational Line
38. 40. Palindromes OTTO ATOYOTA dennis sinned
39. 41. None because of the colors.
40. 42. Point None
41. 43. Floor Plan at Vatican Point Line
42. 44. None None
43. 45. Bilateral Dolphin and the Swan Hotel
44. 46. Bilateral Dolphin and the Swan Hotel
45. 47. Plastic Surgery <ul><li>All runway models have 93% symmetry in their faces. Let’s look. </li></ul>
46. 48. Symmetry of the Human Face Art Activity No face has perfect mathematical symmetry! But plastic surgeons study facial symmetry to help them reconstruct faces. It is thought that as a face gets closer to symmetrical more people think it is beautiful. Symmetry of the Human Face Art Activity No face has perfect mathematical symmetry! But plastic surgeons study facial symmetry to help them reconstruct faces. It is thought that as a face gets closer to symmetrical more people think it is beautiful. We made these artworks by photocopying our photographs, cutting them in half then turning the picture upside down and attempting to copy all the lines and shades we could see.
47. 49. Is the Face Really Symmetrical? ' Some faces are more symmetrical than others.' Is this True? After much thought an Art teacher at school and I worked out a way to find out. We photographed some of the children and then through a bit of 'darkroom magic' manipulated them. You'll notice that the photos of each child's face is made up of the original photo, 2 left sides and 2 right sides.
48. 50. Right / right Left / left The Original Photo
49. 51. Who am I ? Hallie Berry
50. 52. Right / right Left / left The Original Photo
51. 53. Right / right Left / left The Original Photo
52. 54. Right / right Left / left The Original Photo It really does appear that some faces are more symmetrical than others!
53. 55. Arab or Israeli ?
54. 56. Crouching Tiger Hidden Dragon
55. 58. Who am I ?
56. 59. Austria Denmark
57. 60. China Indonesia None Bilateral
58. 61. Iceland UK Bilateral Point Bilateral
59. 62. France Russia Bilateral Bilateral
60. 63. <ul><li>Norway </li></ul>Switzerland Bilateral Norway Rotational Line
61. 64. Have you caught on to the types of symmetry? Oui, mon captain.
62. 65. C’est fini. Good day and good luck.
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