In [127]:

    

import math
%pylab inline


    

    




Populating the interactive namespace from numpy and matplotlib






    




WARNING: pylab import has clobbered these variables: ['invert', 'figsize']
`%pylab --no-import-all` prevents importing * from pylab and numpy

In [128]:

    

def createhex(xoff=1,yoff=1):
    A = (math.cos(math.radians(30)), math.sin(math.radians(30)))
    B = (math.cos(math.radians(90)), sin(math.radians(90)))
    C = (math.cos(math.radians(150)), sin(math.radians(150)))
    D = (math.cos(math.radians(210)), sin(math.radians(210)))
    E = (math.cos(math.radians(270)), sin(math.radians(270)))
    F = (math.cos(math.radians(330)), sin(math.radians(330)))
    G = (math.cos(math.radians(30)), math.sin(math.radians(30)))
    x,y = zip(A,B,C,D,E,F,G)
    x = [i + xoff for i in x]
    y = [i + yoff for i in y]
    return x,y


    

In [129]:

    

figsize(8,8)
xoffset = math.cos(math.radians(30))
yoffset = math.sin(math.radians(30))
for i in range(2):
    for j in range(2):
        xoff = j * xoffset * 2
        if i % 2 != 0:
            xoff += xoffset
        yoff = i * yoffset * 3
        x,y = createhex(xoff, yoff)
        plt.plot(x,y)


    

In [4]:

    

def createoct(xoff=1,yoff=1):
    A = (math.cos(math.radians(45)), math.sin(math.radians(45)))
    B = (math.cos(math.radians(90)), sin(math.radians(90)))
    C = (math.cos(math.radians(135)), sin(math.radians(135)))
    D = (math.cos(math.radians(180)), sin(math.radians(180)))
    E = (math.cos(math.radians(225)), sin(math.radians(225)))
    F = (math.cos(math.radians(270)), sin(math.radians(270)))
    G = (math.cos(math.radians(315)), sin(math.radians(315)))
    H = (math.cos(math.radians(360)), sin(math.radians(360)))
    I = (math.cos(math.radians(45)), math.sin(math.radians(45)))
    x,y = zip(A,B,C,D,E,F,G,H,I)
    x = [i + xoff for i in x]
    y = [i + yoff for i in y]
    return x,y


    

In [5]:

    

x, y = createoct()
plt.plot(x,y)


    

    
Out[5]:





[<matplotlib.lines.Line2D at 0x107cdc450>]






    

In [211]:

    

figsize=(4,4)
def createtri(xoff=1, yoff=1):
    A = (-1, 0)
    B = (1, 0)
    C = (0,  1 * math.sqrt(3))
    D = (-1, 0)
    x,y = zip(A, B, C, D)
    x = [i + xoff for i in x]
    y = [i + yoff for i in y]
    return x,y

def createinvtri(xoff=1, yoff=1):
    A = (-1, 0)
    B = (1, 0)
    C = (0,  -1 * math.sqrt(3))
    D = (-1, 0)
    x,y = zip(A, B, C, D)
    x = [i + xoff for i in x]
    y = [i + yoff for i in y]
    return x,y

x, y = createtri()
plot(x,y, 'r-o')
x, y = createinvtri()
plot(x, y, 'b-o')


    

    
Out[211]:





[<matplotlib.lines.Line2D at 0x119bdc450>]






    

In [335]:

    

xoffset = 0.5
yoffset = 1.0
for k in range(9):
    if k %2 == 0:
        for i in range(10):
            xoff = i * xoffset * 4
            for j in range(2):
                if j % 2 != 0:
                    x, y = createinvtri(xoff, yoff)
                else:
                    yoff = j + yoffset * 4
                    x,y = createtri(xoff, yoff)
                plt.plot(x,y)
    else:
        yoff = (k + 1) * 1.9
        for i in range(10):
            xoff = (i * xoffset * 4) + (xoffset * 2)
            for j in range(2):
                if j % 2 != 0:
                    x, y = createtri(xoff, yoff)
                else:
                    x, y = createinvtri(xoff, yoff)
                plt.plot(x,y)


    

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