# Experiment With Changing These ------------------------
GridWidth = 16	  # Changes width of grid               |
GridHeight = 16   # Changes height of grid              |
PixelSize = 10    # Change size of 'pi-xel'             |
Sides = 4         # Changes number of sides of 'pi-xel' |
#--------------------------------------------------------

# Basic Parameters
TurningAngle = (90-(((180 + (Sides-3)*180)/Sides)-90))  # Calculates Angles
xStart = (GridHeight*-10)/2                             # X-Axis Starting Position
yStart = (GridHeight*10)/2                              # Y-Axis Starting Position
PixelNumber = 0                                         # Pixel Counter (For Colour Information)
PixelList = []                                          # Stores Colour Information

# Calculate Necessary Digits of Pi
from decimal import Decimal, getcontext
getcontext().prec = GridWidth*GridHeight
Pi = sum(1/Decimal(16)**x* 
          (Decimal(4)/(8*x+1) - 
           Decimal(2)/(8*x+4) - 
           Decimal(1)/(8*x+5) -
           Decimal(1)/(8*x+6)) for x in range(100))
Pi = str(Pi)
Pi = Pi.replace(".","") # Decimal point is removed

# Adds colour data for every digit into a list
for Digit in Pi:
    if int(Digit) == 0:
        PixelList.append([170, 0, 0])   # 0 = Dark Red
    if int(Digit) == 1:
        PixelList.append([255, 0, 0])   # 1 = Red
    if int(Digit) == 2:
        PixelList.append([255, 128, 0]) # 2 = Orange
    if int(Digit) == 3:
        PixelList.append([255, 255, 85])# 3 = Yellow
    if int(Digit) == 4:
        PixelList.append([85, 255, 85]) # 4 = Light Green
    if int(Digit) == 5:
        PixelList.append([0, 85, 0])    # 5 = Dark Green
    if int(Digit) == 6:
        PixelList.append([0, 0, 255])   # 6 = Blue
    if int(Digit) == 7:
        PixelList.append([128, 0, 255]) # 7 = Purple
    if int(Digit) == 8:
        PixelList.append([170, 0, 170]) # 8 = Magenta
    if int(Digit) == 9:
        PixelList.append([255, 85, 255])# 9 = Pink

# Turtle Parameters
import turtle
turtle.speed(0)             # 0 = Fastest Speed
turtle.colormode(255)       # Mode = RGB Colour Values
turtle.pencolor(0, 0, 0)    # Outline = Black
turtle.title("Pi-xel Art")  # Title = 'Pi-xel Art'
turtle.hideturtle()         # Hides Turtle

# Draw and Fill 'Pi-xel'
def Pixel(xStart, yStart, Red, Green, Blue):
    turtle.goto(xStart, yStart)         # Go to next position in grid       
    turtle.fillcolor(Red, Green, Blue)  # Set fill colour
    # Start drawing 'pi-xel'
    turtle.pendown()    
    turtle.begin_fill()
    # Draw the 'pi-xel'
    for i in range(Sides):              # Number of sides of the 'pi-xel'
        turtle.forward(PixelSize)       # Size of each side of the 'pi-xel'
        turtle.right(TurningAngle)      # Angle which the pen turns
    # End drawing 'pi-xel'
    turtle.end_fill()
    turtle.penup()                      

# Move to next position in grid
for Coloumn in range(GridWidth):
    for Row in range(GridHeight):
        turtle.penup()
        Pixel(xStart, yStart, PixelList[PixelNumber][0], PixelList[PixelNumber][1], PixelList[PixelNumber][2]) # Retrieve colour & position of next pi-xel
        # Move to next pi-xel
        xStart += PixelSize     
        PixelNumber += 1        
    # Start new row
    xStart = (GridHeight*-10)/2
    yStart -= PixelSize