我正在尝试细分以下形状,如下图所示。 (我没有足够的声望来发布图像,所以就是这样。我正在使用python龟图形尝试让每个形状彼此适合,但我不知道如何或何时重新开始。
我已经制作了形状,如下所示。
import turtle
t = turtle.Turtle()
t.left(30)
t.speed("fastest")
turtle.delay(0)
counter = 0
t.begin_fill()
def setup(length):
t.forward(length)
t.right(120)
t.forward(length / 3)
t.left(60)
t.forward(length / 3)
t.left(120)
t.forward(length)
t.left(60)
t.forward(length)
t.left(120)
t.forward(length / 3)
t.left(60)
t.forward(length / 3)
t.right(120)
t.forward(length)
t.right(60)
while True:
setup(100)
我不知道从哪里开始,现在的代码只是基本形状。
这是考虑这个问题的另一种方式。许多镶嵌是更简单的几何图块的变形。这个可以被认为是一个变形的六边形:
因此,如果我们编写代码来使用六边形来平铺平面,那么我们应该能够使用相同的代码来使用此形状来平铺它。基于邮票的六边形拼贴程序:
from turtle import Screen, Turtle
from math import pi, sin, cos
SIDES = 6
OUTER_RADIUS = 90
INNER_RADIUS = 3**0.5 * OUTER_RADIUS / 2
def tessellation(depth):
turtle.stamp()
if depth:
angle = 0
while angle < 2 * pi:
position = turtle.position()
x = 2 * INNER_RADIUS * cos(angle)
y = 2 * INNER_RADIUS * sin(angle)
turtle.goto(turtle.xcor() + x, turtle.ycor() + y)
tessellation(depth - 1)
turtle.setposition(position)
angle += 2 * pi / SIDES
screen = Screen()
turtle = Turtle(visible=False)
turtle.penup()
turtle.sety(-OUTER_RADIUS) # center point correction!
turtle.begin_poly()
turtle.circle(OUTER_RADIUS, steps=6)
turtle.end_poly()
screen.register_shape('tile', turtle.get_poly())
turtle.shape('tile')
turtle.settiltangle(30) # orient tile
turtle.fillcolor('white')
turtle.home()
turtle.showturtle()
screen.tracer(False) # because I have no patience
tessellation(2)
screen.tracer(True)
screen.exitonclick()
替换OP的设计的一个问题是原点不在中心:
但我们会在上面加上一个绑定,而不是修复绘图代码。让我们修改上面的代码,使用OP的代码绘制图形:
from turtle import Screen, Turtle
from math import pi, sin, cos
SIDES = 6
OUTER_RADIUS = 90
INNER_RADIUS = 3**0.5 * OUTER_RADIUS / 2
def setup(length):
turtle.forward(length)
turtle.right(120)
turtle.forward(length / 3)
turtle.left(60)
turtle.forward(length / 3)
turtle.left(120)
turtle.forward(length)
turtle.left(60)
turtle.forward(length)
turtle.left(120)
turtle.forward(length / 3)
turtle.left(60)
turtle.forward(length / 3)
turtle.right(120)
turtle.forward(length)
turtle.right(60)
def figure(length):
for _ in range(3):
setup(length)
def tessellation(depth):
turtle.stamp()
if depth:
angle = 0
while angle < 2 * pi:
position = turtle.position()
x = 2 * INNER_RADIUS * cos(angle)
y = 2 * INNER_RADIUS * sin(angle)
turtle.goto(turtle.xcor() + x, turtle.ycor() + y)
tessellation(depth - 1)
turtle.setposition(position)
angle += 2 * pi / SIDES
screen = Screen()
turtle = Turtle(visible=False)
turtle.penup()
turtle.goto(OUTER_RADIUS / 9, -2 * OUTER_RADIUS / 9) # center point correction!
turtle.begin_poly()
figure(INNER_RADIUS)
turtle.end_poly()
screen.register_shape('tile', turtle.get_poly())
turtle.shape('tile')
turtle.settiltangle(30) # orient tile
turtle.fillcolor('white')
turtle.home()
turtle.showturtle()
screen.tracer(False) # because I have no patience
tessellation(2)
screen.tracer(True)
screen.exitonclick()
这给我们修改了六边形镶嵌:
你可以创建绘制完整图形的功能
def figure(length):
setup(length)
setup(length)
setup(length)
然后你可以绘制一个figure
并使用penup()
,forward()
,pendown()
等移动龟,然后你绘制第二个figure
。
我尝试了不同的组合,我得到了这样的东西
例1()
例2()
可能带有一些递归的example1可以给出预期的结果。
import turtle
# --- functions ---
def setup(length):
t.forward(length)
t.right(120)
t.forward(length / 3)
t.left(60)
t.forward(length / 3)
t.left(120)
t.forward(length)
t.left(60)
t.forward(length)
t.left(120)
t.forward(length / 3)
t.left(60)
t.forward(length / 3)
t.right(120)
t.forward(length)
t.right(60)
def figure(length):
for _ in range(3):
setup(length)
def example1(length):
for _ in range(3):
figure(length)
t.penup()
t.forward(length + length/3)
t.right(120)
t.backward(length/3)
t.pendown()
def example2(length):
for _ in range(3):
figure(length)
t.penup()
t.left(60)
t.forward(length + length)
t.right(60)
t.pendown()
# --- main ---
t = turtle.Turtle()
t.speed(0)
turtle.delay(0)
t.left(30)
#example1(50)
example2(50)
turtle.mainloop()
编辑:在figure
使用递归我做了这个
import turtle
# --- functions ---
def setup(length):
t.forward(length)
t.right(120)
t.forward(length / 3)
t.left(60)
t.forward(length / 3)
t.left(120)
t.forward(length)
t.left(60)
t.forward(length)
t.left(120)
t.forward(length / 3)
t.left(60)
t.forward(length / 3)
t.right(120)
t.forward(length)
t.right(60)
def figure(length, level=0):
for _ in range(3):
if level > 0:
move(length)
figure(length, level-1)
setup(length)
def move(length):
t.penup()
t.left(60)
t.forward(length + length)
t.right(60)
t.pendown()
# --- main ---
t = turtle.Turtle()
t.speed(0)
turtle.delay(0)
t.left(30)
figure(50, 2)
turtle.mainloop()