File:Voisinage tubulaire.svg

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Description
Français : Voisinage tubulaire de la courbe y=sin(x)
def main():
   f = sin(x)
   a = 0
   b = 2 * pi
   N = 1000

   # consider N points in the interval [a, b]
   X = [a + (b - a) / N * k for k in range(N + 1)]
   Y = [f(x=u) for u in X]

   ll = 3
   # length of lines perpendicular to the curve
   lls = 0.3
   #  smaller subsegments

   thin_line = 2
   thick_line = 4

   #  will draw lines perpendicular to the graph of Y=f(X) at
   #  points separted by length of 'spacing'
   spacing = 0.015
   M = floor(spacing * N)

   # colors
   red = [0.867, 0.06, 0.14]
   blue = list(vector([0, 129, 205]) / QQ(256))
   green = list(vector([0, 200, 70]) / QQ(256))

   G = Graphics()
   # plot the lines
   for k in range(1, N + 1):
          p = (k - 1) * M + 2
          if p >= N:
             break
          # the normal to the curve at (X(p), Y(p))
          Normal = vector([-(Y[p + 1] - Y[p - 1]), X[p + 1] - X[p - 1]])
          Normal = Normal / norm(Normal)
          G += line([(X[p] - lls * Normal[0], Y[p] - lls * Normal[1]),
                     (X[p] + lls * Normal[0], Y[p] + lls * Normal[1])],
                    color=red,
                    thickness=0.7 * thick_line)
   # plot the curve
   G += line2d(zip(X, Y), thickness=thick_line, color=blue)
   G.axes(False)
   G.set_aspect_ratio(1)
   return G
Date
Source Own work
Author Kilom691

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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  • to share – to copy, distribute and transmit the work
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current19:12, 15 October 2015Thumbnail for version as of 19:12, 15 October 2015705 × 286 (10 KB)Kilom691 (talk | contribs)User created page with UploadWizard

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