Graph Transformations & Bezier Paths

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import warnings; warnings.simplefilter('ignore')

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def rotate_line(a,l): 

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    return [[(cos(a)*x-sin(a)*y).n(),

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             (sin(a)*x+cos(a)*y).n()] 

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            for [x,y] in l]

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def linegraph(g):

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    vg=g.get_pos(); eg=g.edges(); ne=len(eg)

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    return [[list(vg[eg[i][0]]),

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             list(vg[eg[i][1]])] 

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            for i in range(ne)]    

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def rotate_bezier_path_cubegraph(m,k):

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    g=graphs.CubeGraph(m) 

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    lg=linegraph(g); LG=Graphics()

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    rlg=[[rotate_line(j*pi/k,lg[i]) 

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          for i in range(len(lg))] 

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         for j in range(2*k)] 

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    for i in range(2*k): 

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        col=(random(),0,random())

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        LG+=bezier_path(rlg[i],color=col,

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                        thickness=.3)

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    LG.show(axes=False,figsize=(5,5),

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            title=r'$m=%d; \ k=%d$'%(m,k))

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m,k=randint(3,5),randint(3,5)

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rotate_bezier_path_cubegraph(m,k)

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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