# 12/12/2024
# Un pavage (ou motif) de Truchet étendu. Variante avec des lignes polygonales
# aléatoires.
from random import*
import time
nbp=0
# fonction ligne polygonale déformée de façon aléatoire
def liste(P,Q,R,n):
r = random()/10
p = randint(1,2)
L=[]
vx=Q.x-P.x
vy=Q.y-P.y
L.append(P)
for i in range(1,n):
L.append(Point(P.x+i/n * vx+(-1)**p*r*random(),P.y+i/n * vy+(-1)**p*r*random(),is_visible=False))
L.append(Q)
L.append(R)
return L
# fonction ligne brisée . En entrée une liste L de points.
def ligneb(L):
for i in range(len(L)-1):
s =Segment(L[i],L[i+1])
# les 2 types de tuiles
# avec du bleu dans le coin supérieur gauche et le coin inférieur droit:
def t11(x,y):
A = Point(x,y,is_visible = False)
B = Point(x+1,y,is_visible = False)
C = Point(x+1,y+1,is_visible = False)
D = Point(x,y+1,is_visible = False)
E = Point(x+0.5,y,is_visible = False)
F = Point(x+1,y+0.5,is_visible = False)
G = Point(x+0.5,y+1,is_visible = False)
H = Point(x,y+0.5,is_visible = False)
L1 = liste(E,F,B,nbp)
L2 = liste(H,G,D,nbp)
p2 = Polygon(L1,color="blue",opacity=1,line_thickness=0)
p3 = Polygon(L2,color="blue",opacity=1,line_thickness=0)
del L1[-1]
del L2[-1]
L1.append(C)
L2.reverse()
L2.append(A)
L= L2+L1
p1 = Polygon(L,color="yellow",opacity=1,line_thickness=0)
del L1[-1]
del L2[-1]
ligneb(L1)
ligneb(L2)
def t12(x,y):
A = Point(x,y,is_visible = False)
B = Point(x+1,y,is_visible = False)
C = Point(x+1,y+1,is_visible = False)
D = Point(x,y+1,is_visible = False)
E = Point(x+0.5,y,is_visible = False)
F = Point(x+1,y+0.5,is_visible = False)
G = Point(x+0.5,y+1,is_visible = False)
H = Point(x,y+0.5,is_visible = False)
L1 = liste(H,E,A,nbp)
L2 = liste(F,G,C,nbp)
p2 = Polygon(L1,color="yellow",opacity=1,line_thickness=0)
p3 = Polygon(L2,color="yellow",opacity=1,line_thickness=0)
del L1[-1]
del L2[-1]
L1.append(B)
L2.append(D)
L= L2+L1
p1 = Polygon(L,color="blue",opacity=1,line_thickness=0)
del L1[-1]
del L2[-1]
ligneb(L1)
ligneb(L2)
# les 2 types de tuiles
# avec du jaune dans le coin supérieur gauche et le coin inférieur droit:
def t21(x,y):
A = Point(x,y,is_visible = False)
B = Point(x+1,y,is_visible = False)
C = Point(x+1,y+1,is_visible = False)
D = Point(x,y+1,is_visible = False)
E = Point(x+0.5,y,is_visible = False)
F = Point(x+1,y+0.5,is_visible = False)
G = Point(x+0.5,y+1,is_visible = False)
H = Point(x,y+0.5,is_visible = False)
L1 = liste(E,F,B,nbp)
L2 = liste(H,G,D,nbp)
p2 = Polygon(L1,color="yellow",opacity=1,line_thickness=0)
p3 = Polygon(L2,color="yellow",opacity=1,line_thickness=0)
del L1[-1]
del L2[-1]
L1.append(C)
L2.reverse()
L2.append(A)
L= L2+L1
p1 = Polygon(L,color="blue",opacity=1,line_thickness=0)
del L1[-1]
del L2[-1]
ligneb(L1)
ligneb(L2)
def t22(x,y):
A = Point(x,y,is_visible = False)
B = Point(x+1,y,is_visible = False)
C = Point(x+1,y+1,is_visible = False)
D = Point(x,y+1,is_visible = False)
E = Point(x+0.5,y,is_visible = False)
F = Point(x+1,y+0.5,is_visible = False)
G = Point(x+0.5,y+1,is_visible = False)
H = Point(x,y+0.5,is_visible = False)
L1 = liste(H,E,A,nbp)
L2 = liste(F,G,C,nbp)
p2 = Polygon(L1,color="blue",opacity=1,line_thickness=0)
p3 = Polygon(L2,color="blue",opacity=1,line_thickness=0)
del L1[-1]
del L2[-1]
L1.append(B)
L2.append(D)
L= L2+L1
p1 = Polygon(L,color="yellow",opacity=1,line_thickness=0)
del L1[-1]
del L2[-1]
ligneb(L1)
ligneb(L2)
#bordure
def b11(x,y):
A = Point(x,y,is_visible = False)
B = Point(x+1,y,is_visible = False)
C = Point(x+1,y+1,is_visible = False)
D = Point(x,y+1,is_visible = False)
E = Point(x+0.5,y,is_visible = False)
F = Point(x+1,y+0.5,is_visible = False)
G = Point(x+0.5,y+1,is_visible = False)
H = Point(x,y+0.5,is_visible = False)
L1 = liste(E,F,B,nbp)
L2 = liste(H,G,D,nbp)
#p2 = Polygon(L1,color="blue",opacity=1,line_thickness=0)
p3 = Polygon(L2,color="yellow",opacity=1,line_thickness=0)
#del L1[-1]
del L2[-1]
ligneb(L2)
#L1.append(C)
L2.append(C)
L2.append(B)
L2.append(A)
#L= L2+L1
p1 = Polygon(L2,color="blue",opacity=1,line_thickness=0)
def b12(x,y):
A = Point(x,y,is_visible = False)
B = Point(x+1,y,is_visible = False)
C = Point(x+1,y+1,is_visible = False)
D = Point(x,y+1,is_visible = False)
E = Point(x+0.5,y,is_visible = False)
F = Point(x+1,y+0.5,is_visible = False)
G = Point(x+0.5,y+1,is_visible = False)
H = Point(x,y+0.5,is_visible = False)
L1 = liste(H,E,A,nbp)
L2 = liste(F,G,C,nbp)
#p2 = Polygon(L1,color="blue",opacity=1,line_thickness=0)
p3 = Polygon(L2,color="yellow",opacity=1,line_thickness=0)
#del L1[-1]
del L2[-1]
ligneb(L2)
L2.append(D)
L2.append(A)
L2.append(B)
p1 = Polygon(L2,color="blue",opacity=1,line_thickness=0)
def b21(x,y):
A = Point(x,y,is_visible = False)
B = Point(x+1,y,is_visible = False)
C = Point(x+1,y+1,is_visible = False)
D = Point(x,y+1,is_visible = False)
E = Point(x+0.5,y,is_visible = False)
F = Point(x+1,y+0.5,is_visible = False)
G = Point(x+0.5,y+1,is_visible = False)
H = Point(x,y+0.5,is_visible = False)
L1 = liste(E,F,B,nbp)
#L2 = liste(H,G,D,nbp)
p2 = Polygon(L1,color="yellow",opacity=1,line_thickness=0)
#p3 = Polygon(L2,color="yellow",opacity=1,line_thickness=0)
del L1[-1]
ligneb(L1)
#L1.append(C)
L1.append(C)
L1.append(D)
L1.append(A)
#L= L2+L1
p1 = Polygon(L1,color="blue",opacity=1,line_thickness=0)
def b22(x,y):
A = Point(x,y,is_visible = False)
B = Point(x+1,y,is_visible = False)
C = Point(x+1,y+1,is_visible = False)
D = Point(x,y+1,is_visible = False)
E = Point(x+0.5,y,is_visible = False)
F = Point(x+1,y+0.5,is_visible = False)
G = Point(x+0.5,y+1,is_visible = False)
H = Point(x,y+0.5,is_visible = False)
L1 = liste(H,E,A,nbp)
#L2 = liste(F,G,C,nbp)
p2 = Polygon(L1,color="yellow",opacity=1,line_thickness=0)
#p3 = Polygon(L2,color="yellow",opacity=1,line_thickness=0)
#del L1[-1]
del L1[-1]
ligneb(L1)
L1.append(B)
L1.append(C)
L1.append(D)
p1 = Polygon(L1,color="blue",opacity=1,line_thickness=0)
# Dessin du motif
def dessin(n):
for y in range(n):
for x in range(n):
a = randint(1,2)
#global nbp
#nbp = x
if (x+y)%2==0:
if a==1:
t11(x,y)
else:
t12(x,y)
else:
if a==1:
t21(x,y)
else:
t22(x,y)
time.sleep(0.01)
################### Exécution ##########################
nbp = 3 # nombre de points des lignes polygonales/brisées
n = 8 # nombre de lignes et de colonnes, nombre entier PAIR
fond = Polygon(Point(-2,-2,is_visible=False),Point(n+2,-2,is_visible=False),4
,opacity=1,color="white",line_thickness=0)
dessin(n)
#bordure( bug pour n impair !) :
for i in range(0,n,2):
b11(i,-1)
time.sleep(0.01)
for i in range(1,n,2):
b12(i,-1)
time.sleep(0.01)
for i in range(-1,n,2):
b11(n,i)
time.sleep(0.01)
for i in range(-1,n,2):
b12(-1,i)
time.sleep(0.01)
for i in range(0,n,2):
b21(-1,i)
time.sleep(0.01)
for i in range(-1,n,2):
b21(i,n)
time.sleep(0.01)
for i in range(0,n,2):
b22(i,n)
time.sleep(0.01)
for i in range(0,n+1,2):
b22(n,i)
time.sleep(0.01)
