Rotations of Cube Graphs

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import warnings

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warnings.filterwarnings("ignore",category=DeprecationWarning)

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def rotate_line(a,l): 

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    return [[(cos(a)*x-sin(a)*y).n(),(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]]),list(vg[eg[i][1]])] 

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            for i in range(ne)]    

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def rotate_linegraph(g,k):

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

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

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         for j in range(2*k) for i in range(len(lg))]

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    for i in range(2*k*len(lg)): 

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

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        LG+=line(rlg[i],color=col,thickness=.3)

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    LG.show(axes=False,figsize=(5,5),fontsize=15,

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            title='$\\alpha=\\frac{\\pi}{%d}$'%k)

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rotate_linegraph(graphs.CubeGraph(4),7)

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

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