This file is from Wikimedia Commons and may be used by other projects.
The description on its file description page there is shown below.
Summary
DescriptionVoisinage tubulaire.svg
Français : Voisinage tubulaire de la courbe y=sin(x)
defmain():f=sin(x)a=0b=2*piN=1000# consider N points in the interval [a, b]X=[a+(b-a)/N*kforkinrange(N+1)]Y=[f(x=u)foruinX]ll=3# length of lines perpendicular to the curvells=0.3# smaller subsegmentsthin_line=2thick_line=4# will draw lines perpendicular to the graph of Y=f(X) at# points separted by length of 'spacing'spacing=0.015M=floor(spacing*N)# colorsred=[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 linesforkinrange(1,N+1):p=(k-1)*M+2ifp>=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 curveG+=line2d(zip(X,Y),thickness=thick_line,color=blue)G.axes(False)G.set_aspect_ratio(1)returnG
to share – to copy, distribute and transmit the work
to remix – to adapt the work
Under the following conditions:
attribution – You must give appropriate credit, provide a link to the licence, 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 licence as the original.