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truchet.py
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truchet.py
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from matplotlib.patches import Polygon
from matplotlib import pyplot as plt
from random import choice
from itertools import cycle
from math import cos, sin, radians as rad
class Truchet:
# locations defined as:
# a b
# -------------
# | |
# | center |
# | |
# -------------
# c d
#
def __init__(self, xcenter, ycenter, style):
self.a, self.b, self.c, self.d = [xcenter-.5, ycenter+.5],[xcenter+.5, ycenter+.5], [xcenter-.5, ycenter-.5], [xcenter+.5, ycenter-.5]
if style == 'lowleft':
self.p = [self.a, self.c, self.d]
if style == 'lowright':
self.p = [self.c, self.d, self.b]
if style == 'upleft':
self.p = [self.a, self.b, self.c]
if style == 'upright':
self.p = [self.a, self.b, self.d]
def return_tile(self):
return Polygon(self.p, closed=False, color='k')
class Truchet2:
# modified truchet using 2 arcs
def __init__(self, xcenter, ycenter, style):
self.a, self.b, self.c, self.d = [xcenter-.5, ycenter+.5],[xcenter+.5, ycenter+.5], [xcenter-.5, ycenter-.5], [xcenter+.5, ycenter-.5]
if style == 1: #upper right and lower left arcs
#first upper right
x = [self.b[0] + cos(rad(i))/2. for i in range(180, 271)]
y = [self.b[1] + sin(rad(i))/2. for i in range(180, 271)]
self.p1 = [x,y]
#now lower left
x = [self.c[0] + cos(rad(i))/2. for i in range(0, 91)]
y = [self.c[1] + sin(rad(i))/2. for i in range(0, 91)]
self.p2 = [x,y]
if style == 2: #upper left and lower right arcs
#first upper left
x = [self.a[0] + cos(rad(i))/2. for i in range(270, 361)]
y = [self.a[1] + sin(rad(i))/2. for i in range(270, 361)]
self.p1 = [x,y]
#now lower right
x = [self.d[0] + cos(rad(i))/2. for i in range(90, 181)]
y = [self.d[1] + sin(rad(i))/2. for i in range(90, 181)]
self.p2 = [x,y]
def return_coords(self):
return self.p1, self.p2
class Truchet3:
# modified truchet using 2 arcs
def __init__(self, xcenter, ycenter, style):
self.a, self.b, self.c, self.d = [xcenter-.5, ycenter+.5],[xcenter+.5, ycenter+.5], [xcenter-.5, ycenter-.5], [xcenter+.5, ycenter-.5]
if style == 1: #upper right and lower left arcs
#first upper right
x = [self.b[0] + cos(rad(i))/2. for i in range(180, 271)]
y = [self.b[1] + sin(rad(i))/2. for i in range(180, 271)]
x[44] = xcenter
y[44] = ycenter
self.p1 = [x,y]
#now lower left
x = [self.c[0] + cos(rad(i))/2. for i in range(0, 91)]
y = [self.c[1] + sin(rad(i))/2. for i in range(0, 91)]
x[44] = xcenter
y[44] = ycenter
self.p2 = [x,y]
if style == 2: #upper left and lower right arcs
#first upper left
x = [self.a[0] + cos(rad(i))/2. for i in range(270, 361)]
y = [self.a[1] + sin(rad(i))/2. for i in range(270, 361)]
x[44] = xcenter
y[44] = ycenter
self.p1 = [x,y]
#now lower right
x = [self.d[0] + cos(rad(i))/2. for i in range(90, 181)]
y = [self.d[1] + sin(rad(i))/2. for i in range(90, 181)]
x[44] = xcenter
y[44] = ycenter
self.p2 = [x,y]
def return_coords(self):
return self.p1, self.p2
ax = plt.gca()
for i in range(20):
plt.axhline(i-.5)
plt.axvline(i-.5)
for j in range(20):
#random
a = Truchet(i, j, choice(['lowleft', 'lowright', 'upleft', 'upright'])).return_tile()
ax.add_patch(a)
ax.set_xlim(-2,21)
ax.set_ylim(-2,21)
plt.show()
ax = plt.gca()
c = cycle(['lowleft', 'upleft', 'lowright', 'upright'])
for i in range(20):
for j in range(20):
a = Truchet(i, j, c.next()).return_tile()
ax.add_patch(a)
ax.set_xlim(-2,21)
ax.set_ylim(-2,21)
plt.show()
ax = plt.gca()
for i in range(20):
plt.axhline(i-.5)
plt.axvline(i-.5)
for j in range(20):
p1, p2 = Truchet2(i,j,choice([1,2])).return_coords()
plt.plot(p1[0], p1[1], color='k')
plt.plot(p2[0], p2[1], color='k')
plt.xlim(0,20)
plt.ylim(0,20)
plt.show()
c = cycle([1,2,1,1,1,1,2,1])
for i in range(20):
for j in range(20):
p1, p2 = Truchet2(i,j, c.next()).return_coords()
plt.plot(p1[0], p1[1], color='k')
plt.plot(p2[0], p2[1], color='k')
plt.xlim(0,20)
plt.ylim(0,20)
plt.show()
for i in range(20):
plt.axhline(i-.5)
plt.axvline(i-.5)
for j in range(20):
p1, p2 = Truchet3(i,j,choice([1,2])).return_coords()
plt.plot(p1[0], p1[1], color='k')
plt.plot(p2[0], p2[1], color='k')
plt.xlim(0,20)
plt.ylim(0,20)
plt.show()