def feigenbaum():
y_range = input(
"Zadej y rozsah oddelene - od nuly do 1. Napriklad 0.25-0.75: ").split(
"-")
x_range = input(
"Zadej x rozsah oddelene - od nuly do 1. Napriklad 0.25-0.75: ").split(
"-")
y_range[0] = float(y_range[0])
y_range[1] = float(y_range[1])
x_range[0] = float(x_range[0])
x_range[1] = float(x_range[1])
points = int(200 * abs(1 / abs(y_range[0] - y_range[1])))
start = 0.5
min = 2
max = 4
y = start
diference = int(200 * abs(1 / abs(y_range[0] - y_range[1])))
zofka = SvgTurtle(0, 0)
for x in range(min * diference, max * diference):
x = x / diference
for point in range(points):
y = x * y * (1.0 - y)
if y_range[0] < y < y_range[1] and x_range[0] < (
x - 2) / 2 < x_range[1]:
zofka.set_pos(((x - 2) * 500 - x_range[0] * 1000) *
(1 / abs(x_range[0] - x_range[1])),
(y * 1000 - y_range[0] * 1000) *
(1 / abs(y_range[0] - y_range[1])))
zofka.self_point()
zofka.save("feigenbaum.svg")
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 MRCM(points, transformations, iterations, name):
points = [points]
for x in range(iterations):
new_points = []
for point in points:
for tr in transformations:
new_points.append(affine_transformation(point, **tr))
points = new_points
set_of_points = points
x = 500
y = 500
turtle = SvgTurtle(x, y)
for points in set_of_points:
turtle.set_pos(points[0][0] + x, points[0][1] + y)
for point in points + [points[0]]:
turtle.set_pos(point[0] + x, point[1] + y, write=True)
turtle.save(name)
def svg_star(lines, tops, radius, name): # save svg file with star
turtle = SvgTurtle(400, 400)
angle = 180 - (1 - (2 / (lines * tops))) * 180
distance = radius * 2 * sin(pi /
(lines * tops)) # needed calculations for star
for top in range(tops):
for x in [-1, 1]:
turtle.set_pos(400, 400)
turtle.left(360 / tops * top)
turtle.forward(radius)
turtle.left(x * 180 - x * angle / 2)
end_of_line = SvgTurtle(400, 400)
end_of_line.right(360 / tops * (x - top))
for line in range(lines):
turtle.left(x * angle)
turtle.forward(distance)
end_of_line.forward(radius / lines)
turtle.connector(end_of_line)
turtle.save(name)
def affine_transformation(points, iteration=1, translation=False, rotation=False, scaling=False, write=False, own=False):
set_of_points = [points]
for x in range(iteration):
transformed_points = set_of_points[-1]
if translation:
transformed_points = ATr(transformed_points).translation(translation[0], translation[1])
if rotation:
transformed_points = ATr(transformed_points).rotation(rotation)
if scaling:
transformed_points = ATr(transformed_points).scaling(scaling[0], scaling[1])
if own:
transformed_points = ATr(transformed_points).own(own[0], own[1], own[2], own[3], own[4], own[5])
set_of_points.append(transformed_points)
if write:
x = 500
y = 500
turtle = SvgTurtle(x, y)
for points in set_of_points:
turtle.set_pos(points[0][0] + x, points[0][1] + y)
for point in points + [points[0]]:
turtle.set_pos(point[0] + x, point[1] + y, write=True)
turtle.save("picture.svg")
else:
return transformed_points
