3dreflection.py

from tkinter import *
from math import sqrt
points=[]
def convert3Dto2D(x,y,z):
	z=z/sqrt(2)
	x=ox+(x-z)
	y=oy-(y-z)
	return x,y

def drawcube(points3d,outline='blue'):
	for i in range (len(points3d)):	
		points.insert(i,convert3Dto2D(points3d[i][0],points3d[i][1],points3d[i][2]))
		win.create_text(points[i],text=str(i))
	win.create_rectangle(points[0],points[2],outline=outline)	
	win.create_rectangle(points[4],points[6],outline=outline)	
	win.create_line(points[0],points[4],fill=outline)
	win.create_line(points[1],points[5],fill=outline)
	win.create_line(points[2],points[6],fill=outline)
	win.create_line(points[3],points[7],fill=outline)	

def reflection(x,y,z):
	Refy=   [[1, 0, 0, 0],
		 [0, -1, 0, 0],
		 [0, 0, 1, 0],
		 [0, 0, 0, 1]]

	P =     [[x],
		[y],
		[z],
		[1]]

	resulty= [[0],
	  	 [0],
	   	 [0],
		 [0]]

	for i in range(len(Refy)):
		# iterate through columns of P
		for j in range(len(P[0])):
			# iterate through rows of P
			for k in range(len(P)):
				resulty[i][j] += Refy[i][k] * P[k][j]
	return resulty[0][0],resulty[1][0],resulty[2][0]

print("Please Enter the width,height and depth of cube")
w,h,d=map(int,input().split())

print ("Please Enter the center coordinates xc yc")
xc,yc=map(int,input().split())
zc=0
master=Tk()
canvas_width=master.winfo_screenwidth()
canvas_height=master.winfo_screenheight()
win=Canvas(master,width=canvas_width,height=canvas_height)
win.pack()
#origin
ox,oy=canvas_width/2,canvas_height/2
#axes
win.create_line(ox,0,ox,oy)
win.create_line(ox,oy,ox*2,oy)
win.create_line(ox,oy,0,oy*2)
#cube points
points3d=[(0,0,0),(w,0,0),(w,h,0),(0,h,0),(0,0,d),(w,0,d),(w,h,d),(0,h,d)]
points3dnew=[]


for i in range(len(points3d)):
	points3dnew.insert(i,(points3d[i][0]+xc,points3d[i][1]+yc,points3d[i][2]+zc))
drawcube(points3dnew)
win.create_text(points[1],text="Original cube")
#calculating points after reflection about y axis
pointsx=[]
for i in range(len(points)):
	pointsx.insert(i,reflection(points3dnew[i][0],points3dnew[i][1],points3dnew[i][2]))
drawcube(pointsx,'blue')
win.create_text(points[1],text="cube after reflection about y axis")
mainloop()