def pentagram_relative():
zofka = SvgTurtle(500, 500)
for x in range(5):
zofka.forward(200)
zofka.left(180 - 36)
zofka.right(36)
length = 100/sin(radians(54))
angle = (1 - 2 / 5) * 180
for x in range(5):
zofka.forward(length)
zofka.left(180 - angle)
zofka.save("relative_pentagram.svg")
def squares():
zofka = SvgTurtle(500, 500)
length = 400
cor_length = sqrt(0.75**2 + 0.25**2)
cor_angle = degrees(asin(0.25/cor_length))
for y in range(50):
for x in range(4):
zofka.forward(length)
zofka.right(90)
zofka.forward(length*0.25)
zofka.right(cor_angle)
length = length * cor_length
zofka.save("squares_in_squares.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 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)