##
##
##   電腦繪圖
##
##   Project 4 - The Dragon Curve
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##   第九組98131034 張晉瑋           
##        98131004 黃振綱          
##          99131085 徐誌偉           
##                              
##   指導老師 江清水                   
##                                   
##                      2013.12.18
##

from PIL import Image
from PIL import ImageDraw
import random





def T(f,r):
    if f==1:
        return r
    return T(f-1,'R,')+r+T(f-1,'L,')

def direction(L):
    
    List=['N']
    for count in (L[0:]):
        if List[-1]=='N':
            if count=='R':
                List=List+['E']
            if count=='L':
                List=List+['W']
        elif List[-1]=='E':
            if count=='R':
                List=List+['S']
            if count=='L':
                List=List+['N']
        elif List[-1]=='W':
            if count=='R':
                List=List+['N']
            if count=='L':
                List=List+['S']
        elif List[-1]=='S':
            if count=='R':
                List=List+['W']
            if count=='L':
                List=List+['E']
    return List



def position(List,size):
    x=size/2
    y=size/2
    s=size/2,size/2
    for count in (List[0:]):
        if count=="N":
            y=y-10
            ns=x,y
            s=s+ns
        elif count=="E":
            x=x+10
            ns=x,y
            s=s+ns
        elif count=="W":
            x=x-10
            ns=x,y
            s=s+ns
        elif count=="S":
            y=y+10
            ns=x,y
            s=s+ns
    return s
            


       
def drawLine(position,size,color):
    img=Image.new( "RGB" ,(size,size), "white")
    draw = ImageDraw.Draw(img)
    draw.line(position, fill=color)

    img.show()
    


def main():
    fold=eval(input("Please input fold(1~11):"))
    if fold==1:
        size=100
    elif 12>fold>1:
        size=(fold-1)*100
    elif 16>fold>11:
        size=fold*(fold-2)*20
    else:
        size=8000
    color=eval(input("Please input color(R,G,B,or random (ex.255,0,0)):"))
    if color==random:
        color=int(random.uniform(255,0)),int(random.uniform(255,0)),int(random.uniform(255,0))   
    return drawLine(position(direction(T(fold,'R,')),size),size,color)


main()