# 字母表点阵显示弯曲Hello World.

```
"""
字母表点阵显示弯曲Hello World.
"""

import turtle
import random
from math import cos, sin, atan2, radians, degrees

alphabet = {
'A': ((0,0),(0.5,1),(0.75,0.5),(0.25,0.5),(0.75,0.5),(1,0)),
'B': ((0,0),(0,1),(0.625 ,1),(0.75,0.875),(0.75,0.625),(0.625,0.5),(0,0.5),(0.625,0.5),(0.75,0.375),(0.75,0.125),(0.625,0),(0,0)),
'C': ((0.75,0.125),(0.625,0),(0.125,0),(0,0.125),(0,0.875),(0.125,1),(0.625,1),(0.75,0.875)),
'D': ((0,0),(0,1),(0.625 ,1),(0.75,0.875),(0.75,0.125),(0.625,0),(0,0)),
'E': ((0.75,0),(0,0),(0,0.5),(0.75,0.5),(0,0.5),(0,1),(0.75,1)),
'F': ((0,0),(0,0.5),(0.75,0.5),(0,0.5),(0,1),(0.75,1)),
'G': ((0.75,0.5),(0.625,0.5),(0.75,0.5),(0.75,0.125),(0.625,0),(0.125,0),(0,0.125),(0,0.875),(0.125,1),(0.625,1),(0.75,0.875)),
'H': ((0,0),(0,1),(0,0.5),(0.75,0.5),(0.75,1),(0.75,0)),
'I': ((0,0),(0.25,0),(0.125,0),(0.125,1),(0,1),(0.25,1)),
'J': ((0,0.125),(0.125,0),(0.375,0),(0.5,0.125),(0.5,1)),
'K': ((0,0),(0,1),(0,0.5),(0.75,1),(0,0.5),(0.75,0)),
'L': ((0,0),(0,1),(0,0),(0.75,0)),
'M': ((0,0),(0,1),(0.5,0),(1,1),(1,0)),
'N': ((0,0),(0,1),(0.75,0),(0.75,1)),
'O': ((0.75,0.125),(0.625,0),(0.125,0),(0,0.125),(0,0.875),(0.125,1),(0.625,1),(0.75,0.875),(0.75,0.125)),
'P': ((0,0),(0,1),(0.625,1),(0.75,0.875),(0.75,0.625),(0.625,0.5),(0,0.5)),
'Q': ((0.75,0.125),(0.625,0),(0.125,0),(0,0.125),(0,0.875),(0.125,1),(0.625,1),(0.75,0.875),(0.75,0.125),(0.875,0)),
'R': ((0,0),(0,1),(0.625,1),(0.75,0.875),(0.75,0.625),(0.625,0.5),(0,0.5),(0.625,0.5),(0.875,0)),
'S': ((0,0.125),(0.125,0),(0.625,0),(0.75,0.125),(0.75,0.375),(0.675,0.5),(0.125,0.5),(0,0.625),(0,0.875),(0.125,1),(0.625,1),(0.75,0.875)),
'T': ((0,1),(0.5,1),(0.5,0),(0.5,1),(1,1)),
'U': ((0,1),(0,0.125),(0.125,0),(0.625,0),(0.75,0.125),(0.75,1)),
'V': ((0,1),(0.375,0),(0.75,1)),
'W': ((0,1),(0.25,0),(0.5,1),(0.75,0),(1,1)),
'X': ((0,0),(0.375,0.5),(0,1),(0.375,0.5),(0.75,1),(0.375,0.5),(0.75,0)),
'Y': ((0,1),(0.375,0.5),(0.375,0),(0.375,0.5),(0.75,1)),
'Z': ((0,1),(0.75,1),(0,0),(0.75,0)),
}

writer = turtle.Turtle()
writer.hideturtle()
writer.speed(0)
window = turtle.Screen()
window.bgcolor("#000000")
writer.pensize(2)

def display_string(message,font_size,color,x,y):
writer.color(color)
message=message.upper()

for character in message:
if character in alphabet:
letter=alphabet[character]
writer.penup()
for dot in letter:
writer.goto(x + dot[0]*font_size, y + dot[1]*font_size)
writer.pendown()

x += font_size

if character == " ":
x += font_size
x += char_spacing

def display_string2(message,font_size,color,x,y,rotationAngle):
writer.color(color)
message=message.upper()
writer.penup()
writer.goto(x,y)
for char in message:
if char in alphabet:
letter=alphabet[char]
writer.penup()

x=0
y=0
for dot in letter:
angle = atan2((dot[1]-y),(dot[0]-x))
angle= degrees(angle)

distance = ((dot[0]-x)**2 + (dot[1]-y)**2)**0.5

writer.left(angle)
writer.forward(distance*font_size)
x = dot[0]
y = dot[1]
writer.pendown()

writer.penup()
angle = atan2((0-y),(0-x))
angle = degrees(angle)

distance = ((0-x)**2 + (0-y)**2)**0.5

writer.left(angle)
writer.forward(distance*font_size)

writer.penup()
writer.forward(font_size)

writer.forward(char_spacing)

# 主要执行程序
font_size = 30
font_color="#FF00FF"
char_spacing = 5
cursorX = -150
cursorY = -100

message = "Hello World"
rotationAngle=90
writer.goto(cursorX,cursorY)

display_string(message,font_size,font_color,-190,0)
writer.up()
writer.goto(cursorX+50,cursorY+150)
for char in message:
pos=writer.position()
display_string2(char,font_size,'cyan',pos[0],pos[1],rotationAngle)
rotationAngle-=180/(len(message)-1)

```