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  1. ```
  2. batch initialize() {
  3. clf(),
  4. default_model(c3ga),
  5.  
  6. p0 = black(c3ga_point(0,0,0)),
  7. p1 = red(c3ga_point(-1,-1,-1)),
  8. p2 = green(c3ga_point(-1,-1, 1)),
  9. p3 = blue(c3ga_point( 1,-1, 1)),
  10. p4 = yellow(c3ga_point( 1, 1, 1)),
  11. }
  12. ```
  13.  
  14.  
  15. # 8.3 Grassmann algebra in conformal space
  16. ```
  17. initialize(),
  18.  
  19. # line
  20. p1^p2^ni,
  21.  
  22. # plane
  23. p1^p2^p3^ni,
  24.  
  25. #ใ€€circle
  26. p1^p2^p3,
  27.  
  28. # sphere
  29. p1^p2^p3^p4,
  30.  
  31. ```
  32.  
  33. # 8.5 Cliford algebra in conformal space
  34. ## 8.5.2 Translator
  35. ```
  36. initialize(),
  37. t = 0.5 e1 + 0.5 e2 + 0.5 e3,
  38. Tt = 1 - 1/2 t ni,
  39.  
  40. Tt p1 / Tt,
  41.  
  42. Tt = exp (- 1/2 t ni),
  43. ```
  44.  
  45. ## 8.5.3 Rotor
  46. ```
  47. initialize(),
  48.  
  49. x = e1; y = e2;
  50. R = y x,
  51. R p1 / R,
  52. ```
  53.  
  54. # 8.6 Conformal geometry
  55. ## 8.6.2 Reflector
  56. ```
  57. initialize(),
  58. n = e1;
  59. h = 0.5;
  60. mypi = n + h ni,
  61. - mypi p1 / mypi,
  62. - mypi p4 / mypi,
  63.  
  64.  
  65. # rotator
  66. n2 = e2;
  67. mypi2 = n2 + h ni,
  68.  
  69. mypi3 = mypi mypi2,
  70. mypi3 p1 mypi3,
  71. mypi3 p4 mypi3,
  72. ```
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