def chaos_game(n, iterations, r, name, random=False):
zofka = SvgTurtle(500, 800)
points = n_square_points(n)
if random:
numbers = [x-100 for x in range(200)]
for point in points:
point[0] += choice(numbers)
point[1] += choice(numbers)
for point in range(len(points)):
zofka.line(points[point][0], points[point][1], points[point-1][0], points[point-1][1])
for x in range(iterations):
point = choice(points)
t = SvgTurtle(point[0], point[1])
position = zofka.position()
if position[0] > point[0]:
posx = point[0] + abs(position[0] - point[0]) * r
else:
posx = position[0] + abs(position[0] - point[0]) * (1-r)
if position[1] > point[1]:
posy = point[1] + abs(position[1] - point[1]) * r
else:
posy = position[1] + abs(position[1] - point[1]) * (1-r)
zofka.set_pos(posx, posy)
zofka.self_point()
zofka.save(name+".svg")
def ring_with_lines():
zofka = SvgTurtle(500, 500)
for x in range(-200, 201, 25):
value = sqrt(200**2 - x**2)
y = x + 500
zofka.line(y, 500 + value, y, 500 - value)
zofka.line(500 + value, y, 500 - value, y)
zofka.save("ring_lines.svg")
def pentagram_absolute():
zofka = SvgTurtle(500, 500)
angle = (1 - 2 / 5) * 180
positions = []
for x in range(5):
zofka.forward(200)
zofka.left(180-108)
positions.append(zofka.position())
for x in range(5):
zofka.line(positions[x][0], positions[x][1], positions[x-1][0], positions[x-1][1])
for x in range(5):
zofka.line(positions[x][0], positions[x][1], positions[x - 2][0], positions[x - 2][1])
zofka.save("absolute_pentragram.svg")
def create_maze(n):
walls = []
points = []
for x in range(1, n):
for y in range(1, n):
points.append((x, y))
for x in range(n):
walls.append(((0, x), (0, x + 1)))
walls.append(((x, n), (x + 1, n)))
walls.append(((n, x), (n, x + 1)))
walls.append(((x, 0), (x + 1, 0)))
while len(points):
point = choice(points)
x = point[0]
y = point[1]
c = 0
while point in points:
wall = create_wall(x, y)
if in_walls(wall, walls):
continue
if is_still_braid(walls, wall):
walls.append(wall)
points.remove(point)
try:
points.remove(wall[1])
except:
pass
c = c + 1
if c > n * 3:
return False
last_len = len(walls)
while True:
for x in range(n):
for y in range(n):
wall = create_wall(x, y)
if in_walls(wall, walls):
continue
if is_still_braid(walls, wall):
walls.append(wall)
if last_len == len(walls):
break
last_len = len(walls)
zofka = SvgTurtle(0, 0)
for d in walls:
zofka.line(d[0][0] * 100, d[0][1] * 100, d[1][0] * 100, d[1][1] * 100)
zofka.save("p.svg")
return True
def triangulation(n):
points = generate_points(n)
lines = []
for ia, a in enumerate(points):
for ib, b in enumerate(points):
if ib > ia:
lines.append((a, b, calculate_length(a, b)))
lines = sorted(lines, key=itemgetter(2))
zofka = SvgTurtle(1000, 1000)
printed_lines = []
for line in lines:
if not is_there_intersection(
(line[0][0], line[0][1], line[1][0], line[1][1]), printed_lines):
zofka.line(line[0][0], line[0][1], line[1][0], line[1][1])
printed_lines.append(
(line[0][0], line[0][1], line[1][0], line[1][1]))
zofka.save("triangulation.svg")
def triangles():
zofka = SvgTurtle(500, 500)
length = 30
zofka.left(90)
for x in range(15):
positions = []
for x in range(3):
zofka.forward(length, write=False)
positions.append(zofka.position())
zofka.left(180)
zofka.forward(length, write=False)
zofka.right(60)
positions.append(positions[0])
for x in range(3):
zofka.line(positions[x][0], positions[x][1], positions[x+1][0], positions[x+1][1])
length += 30
zofka.save("triangles.svg")
def convex_hull(points):
points = sorted(points, key=itemgetter(0))
angles = []
for point in points[1:]:
c = calculate_length(points[0], point)
b = points[0][1] - point[1]
angle = degrees(acos(b / c))
angles.append(angle)
points_angles = []
for x in range(len(angles)):
points_angles.append((points[x + 1], angles[x]))
points_angles = [[points[0], 0]] + sorted(points_angles, key=itemgetter(1))
points = [x[0] for x in points_angles]
zofka = SvgTurtle(1000, 1000)
for x, y in points:
zofka.point(x, y)
count = 1
while count != 0:
count = 0
lines = [points[0] + points[1]]
for x in range(1, len(points)):
try:
delete = True
while delete:
if not is_convex(points[x] + points[x + 1], lines):
print(x)
points.remove(points[x])
delete = True
count += 1
else:
delete = False
lines.append(points[x - 1] + points[x])
except IndexError:
break
for x in range(len(points)):
zofka.line(points[x][0], points[x][1], points[x - 1][0],
points[x - 1][1])
zofka.save("convex_hull.svg")