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imhotep.py
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import turtle
import math
from time import strftime
from random import *
### Setting up Osiris' Window
wn = turtle.Screen()
osiris = turtle.Turtle()
wn.screensize(10000, 10000)
### SCREENSHOT COMMAND ON 'A' KEYBOARD PRESS ###
def ihy():
ts = osiris.getscreen()
osiris.hideturtle()
ts.getcanvas().postscript(file="horus - " +
strftime("%Y-%m-%d %H-%M-%S") +
".eps", width=5000, height=5000)
osiris.showturtle()
turtle.onkey(ihy,"a")
turtle.listen()
### CENTRE DOT COMMAND ON 'D' KEYBOARD PRESS ###
def yam():
osiris.penup()
osiris.goto(0,0)
osiris.dot(3,'#0000FF')
turtle.onkey(yam,"d")
turtle.listen()
### MATH DEFINITIONS ###
def pythag(sidea, sideb):
csquare = (sidea ** 2) + (sideb ** 2)
sidec = math.sqrt(csquare)
return sidec
def work_acos(A,B,C):
X = math.degrees(math.acos((C * C + A * A - B * B)/(2.0 * C * A))) # bottom angle
return X
'''
#############################################################
################## GEOMETRIC DEFINITIONS ####################
################## START ####################
#############################################################
'''
########################################################################
### Imhotep = Islamic-based tile, with zig zags and downward columns ###
### Architect, engineer, scribe ###
########################################################################
### Developed using
###imhotep_y = 1,imhotep_width = 400,imhotep_height = 400,
###imhotep_spike_no = 1,imhotep_row_no = 2,
###imhotep_row_margin_percent = 10,imhotep_middle_buffer_percent=10,
###imhotep_row_buffer = 10, imhotep_downward_length=75,
###imhotep_downward_no=1, imhotep_downward_cols=1,
###imhotep_row_pensize = 2, imhotep_row_color = '#FF3300',
###imhotep_downward_pensize = 2, imhotep_downward_color = '#0033FF',
###imhotep_bounding_pensize = 2, imhotep_bounding_color = '#00FF33',
###imhotep_write_output=1):
def imhotep(imhotep_y = 1,imhotep_width = 400,imhotep_height = 400,
imhotep_spike_no = 1,imhotep_row_no = 2,
imhotep_row_margin_percent = 10,imhotep_middle_buffer_percent=10,
imhotep_row_buffer = 10, imhotep_downward_length=75,
imhotep_downward_no=1, imhotep_downward_cols=1,
imhotep_row_pensize = 2, imhotep_row_color = '#FF3300',
imhotep_downward_pensize = 2, imhotep_downward_color = '#0033FF',
imhotep_bounding_pensize = 2, imhotep_bounding_color = '#00FF33',
imhotep_write_output=1):
if imhotep_y == 1:
if (imhotep_downward_no*imhotep_downward_length) <= (imhotep_height):
### We need to work out the angles and lengths involved
### Essentially, we're building out a series of triangles
### So we need pythag and acos
### ~~~~~~~ ROW LOGIC ~~~~~~~~ ###
imhotep_row_x_start = (imhotep_width / 2 )
### Margin at the bottom and top of the tile as a percent
imhotep_row_margin = ((imhotep_width / 2 ) *
(imhotep_row_margin_percent/100))
### Buffer between the top rows and bottom rows
imhotep_middle_buffer = ((imhotep_width / 2 ) *
(imhotep_middle_buffer_percent/100))
### How much space in each half of the tile, need to remove
### the margin, padding, buffers etc
imhotep_working_space = (((imhotep_height/2)-imhotep_row_margin-
(imhotep_middle_buffer/2))-
(imhotep_row_buffer*(imhotep_row_no-1)))
### We can then use this working space to figure out how tall each spike is
imhotep_spike_height = ((imhotep_working_space) / imhotep_row_no)
### We the space between each row - this is a constant
imhotep_row_space = (imhotep_working_space / imhotep_row_no)
### How wide is each spike (we determine the spike to be both the up
### And the down as a whole)
imhotep_spike_width = (imhotep_width/(imhotep_spike_no*2))
### This is the length of the spike line itself
### We use pythag here because we already worked out the height of the spike
### And the width of the spike
imhotep_spike_length = pythag(imhotep_spike_width,imhotep_spike_height)
imhotep_row_y_start = (imhotep_height / 2)
### We need to know how to move osiris, so we need ACOS to find out the
### bottom angle of the spike
imhotep_spike_bottom_angle = (work_acos(imhotep_spike_width,
imhotep_spike_height,
imhotep_spike_length))
### Once we have the bottom angle, we also know that the spike is
### Essentially two right angle triangles, so we can do the math
### Of 180 (as all triangles have 180 degrees), minus the bottom angle
### to give us the top angle
imhotep_spike_top_angle = (180 - 90) - imhotep_spike_bottom_angle
### ~~~~~~~ DOWNWARD COLUMNS LOGIC ~~~~~~~~ ###
### So we need to work out how wide each of the 'slopes' is
### on the downward columns. We do this by taking the width of the tile
### then dividing it by the both the number of downward 'hockey sticks'
### PLUS the number of downward columns. This bit works like a matrix,
### so it's a bit hard to contextulise in text, but as we want everything
### to stay within the tile, we know that (e.g.) if there are two columns
### the first downward column has to finish 'one downward slope' from the
### right hand edge, similarly, the second downward column has to start
### 'one downward slope' from the left hand edge
imhotep_slope_width = (imhotep_width / (imhotep_downward_no+
imhotep_downward_cols))
### To work out the height of each slope, we just use the height,
### Take away the downward length (our input in the function) TIMES
### The number of downward sections (hockey sticks). We then have to
### divide all of this by the number of downward sections (hockey sticks)
### BUT we have to account for the first downward slope, which isn't a hockey stick
### so we have to add the one needed for this downward slope
imhotep_slope_height = ((imhotep_height - (imhotep_downward_length *
imhotep_downward_no))/
(imhotep_downward_no+1))
### As with the spikes, because we figured out the width and height of the
### downward slope, we can then use ACOS to work out the actual drawn length
imhotep_slope_length = pythag(imhotep_slope_width,imhotep_slope_height)
imhotep_slope_bottom_angle = (work_acos(imhotep_slope_width,imhotep_slope_height,
imhotep_slope_length))
imhotep_slope_top_angle = (180 - 90) - imhotep_slope_bottom_angle
### Draws the bounding box for the tile ###
osiris.penup()
osiris.goto(imhotep_row_x_start,-imhotep_row_y_start)
osiris.pendown()
osiris.setheading(90)
osiris.pensize(imhotep_bounding_pensize)
osiris.pencolor(imhotep_bounding_color)
for i in range(2):
osiris.forward (imhotep_height)
osiris.left (90)
osiris.forward (imhotep_width)
osiris.left (90)
### Draws the zig-zag rows ###
osiris.penup()
osiris.goto(0,0)
osiris.setheading(90)
osiris.goto(-imhotep_row_x_start,(0+(imhotep_middle_buffer/2)))
osirisReturnX = osiris.xcor()
osirisReturnY = osiris.ycor()
osiris.pencolor(imhotep_row_color)
osiris.pensize(imhotep_row_pensize)
### imhotep_f - 1 = top, 2 = bottom ##
for imhotep_f in range(1,3):
for imhotep_g in range(1, (imhotep_row_no+1)):
for imhotep_h in range(1, (imhotep_spike_no+1)):
if imhotep_f == 1:
osiris.setheading(90)
osiris.right(90-imhotep_spike_bottom_angle)
else:
osiris.setheading(270)
osiris.left(90-imhotep_spike_bottom_angle)
osiris.pendown()
osiris.forward(imhotep_spike_length)
osiris.penup()
if imhotep_f == 1:
osiris.right(180-(imhotep_spike_top_angle*2))
else:
osiris.left(180-(imhotep_spike_top_angle*2))
osiris.pendown()
osiris.forward(imhotep_spike_length)
osiris.penup()
osiris.goto(osirisReturnX,osirisReturnY)
if imhotep_f == 1:
osiris.setheading(270)
else:
osiris.setheading(90)
osiris.backward(imhotep_row_space+imhotep_row_buffer)
osirisReturnX = osiris.xcor()
osirisReturnY = osiris.ycor()
osiris.goto(-imhotep_row_x_start,(0-(imhotep_middle_buffer/2)))
osirisReturnX = osiris.xcor()
osirisReturnY = osiris.ycor()
### Draws the downward lines ###
osiris.pensize(imhotep_downward_pensize)
osiris.pencolor(imhotep_downward_color)
for imhotep_m in range(1,3):
osiris.goto(0,0)
osiris.setheading(90)
if imhotep_m == 1:
osiris.goto(-imhotep_row_x_start,imhotep_row_y_start)
else:
osiris.goto(imhotep_row_x_start,imhotep_row_y_start)
osirisReturnX = osiris.xcor()
osirisReturnY = osiris.ycor()
for imhotep_n in range(1, (imhotep_downward_cols+1)):
osiris.setheading(90)
if imhotep_m == 1:
osiris.right(180-imhotep_slope_top_angle)
else:
osiris.left(180-imhotep_slope_top_angle)
osiris.pendown()
osiris.forward(imhotep_slope_length)
for imhotep_o in range (1, (imhotep_downward_no+1)):
osiris.setheading(270)
osiris.forward(imhotep_downward_length)
osiris.setheading(90)
if imhotep_m == 1:
osiris.right(180-imhotep_slope_top_angle)
else:
osiris.left(180-imhotep_slope_top_angle)
osiris.pendown()
osiris.forward(imhotep_slope_length)
osiris.penup()
osiris.goto(osirisReturnX,osirisReturnY)
if imhotep_m == 1:
osiris.setheading(0)
else:
osiris.setheading(180)
osiris.forward(imhotep_slope_width)
osirisReturnX = osiris.xcor()
osirisReturnY = osiris.ycor()
### Outputs the input values for the tile ###
if imhotep_write_output == 1:
osiris.goto(-imhotep_row_x_start,-imhotep_row_y_start)
for imhotep_write in ['imhotep_width','imhotep_height','imhotep_spike_no',
'imhotep_row_no','imhotep_row_margin_percent',
'imhotep_row_buffer',
'imhotep_middle_buffer_percent','imhotep_downward_length',
'imhotep_downward_no','imhotep_downward_cols']:
osiris.setheading(90)
osiris.backward(20)
osiris.write(imhotep_write)
osiris.goto(-(imhotep_row_x_start-200),-imhotep_row_y_start)
for imhotep_write in [imhotep_width,imhotep_height,imhotep_spike_no,
imhotep_row_no,imhotep_row_margin_percent,
imhotep_row_buffer,
imhotep_middle_buffer_percent,imhotep_downward_length,
imhotep_downward_no,imhotep_downward_cols]:
osiris.setheading(90)
osiris.backward(20)
osiris.write(imhotep_write)
else:
print('Downward value too high, will draw outside of tile')
#####################################
### Wadjwer = End bounding box ###
### Sea and other lakes ###
#####################################
def wadjwer(wadjwer_y):
if wadjwer_y == 1:
osiris.pencolor ('#FF0000')
osiris.penup ()
osiris.goto (4000,-4000)
osiris.pendown ()
osiris.setheading (90)
for i in range(4):
osiris.forward (8000)
osiris.left (90)
'''
##############################################
##############################################
##################START#######################
##############################################
##############################################
'''
#####################
#CONFIGURING OSIRIS##
#####################
osiris.speed(2)
def osirisslow():
osiris.speed(1)
def osirismid():
osiris.speed(4)
##def osirissuper():
## osiris.speed(7)
def osirisquick():
osiris.speed(0)
turtle.onkey(osirisquick,"0")
##turtle.onkey(osirissuper,"7")
turtle.onkey(osirismid,"4")
turtle.onkey(osirisslow,"1")
turtle.listen()
osiris.penup()
osiris.setheading(90)
osirisHeadingStart = osiris.heading()
osiris.goto(0,0)
#################
#GEOMETRIC TILES#
#################
### IMHOTEP ### ISLAMIC-INSPIRED TILE
imhotep(imhotep_y = 1,imhotep_width = 400,imhotep_height = 400,
imhotep_spike_no = 3,imhotep_row_no = 3,
imhotep_row_margin_percent = 10,imhotep_middle_buffer_percent=10,
imhotep_row_buffer = 10, imhotep_downward_length=75,
imhotep_downward_no=3, imhotep_downward_cols=3,
imhotep_row_pensize = 2, imhotep_row_color = '#FF3300',
imhotep_downward_pensize = 2, imhotep_downward_color = '#0033FF',
imhotep_bounding_pensize = 2, imhotep_bounding_color = '#00FF33',
imhotep_write_output=1)
'''
##################################
##################################
################END###############
##################################
##################################
'''
### WADJWER ### END BOUNDING BOX
### wadjwer_y
wadjwer(0)
turtle.done()