def drawPoints(points, title, clr='green'):
draw = Turtle(title, background=True)
if isinstance(points[0], PointGroup):
for pointGroup in points:
draw.connectPoints(pointGroup.points)
else:
for point in points:
draw.addPoint((500*point[0] + 200, 500*point[1] + 200), clr)
draw.dumpImage()
def drawPoints(points, title, clr='green'):
draw = Turtle(title, background=True)
if isinstance(points[0], PointGroup):
for pointGroup in points:
draw.connectPoints(pointGroup.points)
else:
for point in points:
draw.addPoint((500 * point[0] + 200, 500 * point[1] + 200), clr)
draw.dumpImage()
def plotMaze(grid, d=20, name="SquareMaze"):
dirs = ((1, 1+1j), (1j, 1+1j), (0, 1j), (0, 1))
draw = Turtle(name, background=True)
for square in grid:
walls = grid[square]
for i, dir_ in enumerate(dirs):
if walls[1j**i]:
draw.addLine((square + dir_[0])*d, (square + dir_[1])*d)
draw.dumpImage()
def applyTransformDraw(points, transform, rec):
draw = Turtle("Square", start_coord=[100,100])
l = len(points)
draw.connectPoints(points)
for _ in xrange(rec):
for i in xrange(l):
points[i] = dot(transform, points[i])
draw.connectPoints(points)
draw.dumpImage()
def applyTransformDraw(points, transform, rec):
draw = Turtle("Square", start_coord=[100, 100])
l = len(points)
draw.connectPoints(points)
for _ in xrange(rec):
for i in xrange(l):
points[i] = dot(transform, points[i])
draw.connectPoints(points)
draw.dumpImage()
def triangulateRandom(n, uniform=True):
if uniform:
points = np.random.uniform(0,500,[n,2])
draw = Turtle("triangulation_uniform_points")
else:
mean, sigma = 200, 70
points = np.random.normal(mean,sigma,[n,2])
draw = Turtle("triangulation_normal_points")
for edge in triangulation(points):
draw.addLineNumpy(edge.array[0,:], edge.array[1,:])
draw.dumpImage()
def triangulateRandom(n, uniform=True):
if uniform:
points = np.random.uniform(0, 500, [n, 2])
draw = Turtle("triangulation_uniform_points")
else:
mean, sigma = 200, 70
points = np.random.normal(mean, sigma, [n, 2])
draw = Turtle("triangulation_normal_points")
for edge in triangulation(points):
draw.addLineNumpy(edge.array[0, :], edge.array[1, :])
draw.dumpImage()
def star():
step = 20
side = 250
shift = side + 1j*side
draw = Turtle("star")
for x, y in product([1, -1], [1, -1]):
for i in xrange(0, side + 1, step):
a = x*i + shift
b = y*1j*(side - i) + shift
draw.addLine(a, b)
draw.dumpImage()
def wrapRandomGift(n, uniform=True):
if uniform:
draw = Turtle("Gift_Wrapping_uniform")
points = list(np.random.uniform(0,500,[n,2]))
else:
draw = Turtle("Gift_Wrapping_normal")
mean, sigma = 200, 70
points = list(np.random.normal(mean,sigma,[n,2]))
for point in points:
draw.addPoint(point)
while len(points) >= 3:
wraping = wrapGift(points)
wr_len = len(wraping)
for i in xrange(wr_len):
draw.addLineNumpy(wraping[i], wraping[(i+1) % wr_len])
draw.dumpImage()
def randomSegments(n, l=150):
points = np.random.uniform(0, 300, [n, 2])
vector = np.array([[l, 0]])
pairs = []
for i in xrange(n):
A = points[i, :]
while True:
B = A + randomVector(l)
if B[0, 0] >= 0 and B[0, 1] >= 0: # is it within first quadrant?
pairs.append(np.row_stack((A, B)))
break
return pairs
if __name__ == '__main__':
draw = Turtle("Intersection")
segments = randomSegments(15)
for i, seg1 in enumerate(segments):
for seg2 in segments[i + 1:]:
intersect = segmentIntersect(seg1, seg2)
if intersect != None:
draw.addPoint(intersect)
for seg in segments:
draw.addLineNumpy(seg[0], seg[1])
draw.dumpImage()
V = V - norm
if V_tmp == vortex:
vortex_new = V
e_tmp.append(V)
new_edges.append(e_tmp)
return new_edges, vortex_new
if __name__ == "__main__":
draw = Turtle("Tree", [5, 80])
tree(draw, 10, 100.)
draw.dumpImage()
draw = Turtle("Koch_Flake", [15, 80])
kochFlake(draw, 5, 100)
draw.dumpImage()
draw = Turtle("Sierpinski_Triangle")
sierpinskiTriangle(draw, 7, 200)
draw.dumpImage()
draw = Turtle("Hilbert_Curve",[5, 5])
hilbertCurve(draw, 7, 300)
draw.dumpImage()
draw = Turtle("Krishna_Anklet", [150, 5])
krishnaAnklet(draw, 5, 200)