def draw_ulam_spiral(n, side =20, x_scale =0,\
useTriangle=False, useHex =False,\
addText =False, addLines=False, addSquares=True,\
modulo =0, filename=''):
ulam = Turtle()
if modulo:
numbers = range(0, n + 1, modulo)
else:
numbers = sieve_of_eratosthenes(n + 1)
if useTriangle:
triangle_spiral(ulam, n, side)
elif useHex:
hex_spiral(ulam, n, side)
else:
rect_spiral(ulam, n, side, x_scale)
viewBox, size = calculate_viewBox(ulam.coords, side)
im = svgwrite.drawing.Drawing(size=size, viewBox=viewBox)
for i, point in enumerate(ulam.coords):
if addSquares:
if i + 1 in numbers:
im.add(im.rect(insert = point,\
size = (side, side),\
fill = '#335588'))
if addText:
im.add( im.text(i+1,
insert = text_offset( point, side ),\
font_family ="sans-serif",\
font_size =10,\
fill ='black'))
if addLines:
for line in ulam.lines:
im.add(im.line(start = line[:2],\
end = line[2:],\
stroke = 'black'))
im.saveas('img/' + filename + '.svg')
return
def anchors(side, pos=[0, 0], _dir=0):
# 0.381 is a magic constant
myrtle = Turtle()
myrtle.set_pos(pos)
myrtle.set_dir(_dir)
rev_polygon(myrtle, 5, side)
myrtle.coords.pop(0)
myrtle.forward(side * 0.381)
myrtle.coords.pop()
myrtle.right(72)
myrtle.forward(side * 0.381)
myrtle.dots = myrtle.coords[::]
return myrtle.coords
turtle.forward(step)
turtle.pendown()
turtle.right(72)
turtle.set_pos(pos)
turtle.penup()
step = 2 * side * (1 + sin(radians(18)))
turtle.forward(step)
turtle.pendown()
turtle.right(72)
if __name__ == '__main__':
print "Sending turtle Bilbo on an adventure!"
Bilbo = Turtle()
"""
print ">>> Bilbo sees a tree fractal.."
Bilbo.left( 90 )
clock = time.time()
tree(Bilbo, 6, 250)
print " Time: {}".format(time.time() - clock)
Bilbo.draw_object('tree')
Bilbo.restart()
print ">>> Bilbo found Koch snowflake.."
clock = time.time()
koch_snowflake(Bilbo, 4, 450)
print " Time: {}".format(time.time() - clock)
Bilbo.draw_object('koch')
Bilbo.restart()
def anchors(side, pos=[0, 0], _dir=0):
# 0.381 is a magic constant
myrtle = Turtle()
myrtle.set_pos( pos )
myrtle.set_dir( _dir )
rev_polygon(myrtle, 5, side )
myrtle.coords.pop(0)
myrtle.forward( side * 0.381 )
myrtle.coords.pop()
myrtle.right( 72 )
myrtle.forward( side * 0.381 )
myrtle.dots = myrtle.coords[::]
return myrtle.coords
turtle.pendown()
turtle.right( 72 )
turtle.set_pos( pos )
turtle.penup()
step = 2 * side * (1 + sin(radians(18)))
turtle.forward( step )
turtle.pendown()
turtle.right( 72 )
if __name__ == '__main__':
print "Sending turtle Bilbo on an adventure!"
Bilbo = Turtle()
"""
print ">>> Bilbo sees a tree fractal.."
Bilbo.left( 90 )
clock = time.time()
tree(Bilbo, 6, 250)
print " Time: {}".format(time.time() - clock)
Bilbo.draw_object('tree')
Bilbo.restart()
print ">>> Bilbo found Koch snowflake.."
clock = time.time()
koch_snowflake(Bilbo, 4, 450)
print " Time: {}".format(time.time() - clock)
Bilbo.draw_object('koch')