la_belle_fleurs.py

Created by arthurmichel-scolaire

Created on April 26, 2026

6.35 KB


from kandinsky import *
import ion

W, H = 320, 240
XMIN, XMAX = -9.0, 9.0
YMIN, YMAX = -7.5, 7.5

# Couleurs
BG      = (5, 15, 35)
RED     = (255, 75, 85)
ROSE    = (255, 130, 160)
LPINK   = (255, 190, 210)
DPINK   = (220, 50, 80)
ORANGE  = (255, 165, 75)
YELLOW  = (255, 230, 90)
LYELLOW = (255, 245, 180)
GREEN   = (60, 195, 100)
DGREEN  = (35, 140, 70)
LGREEN  = (140, 230, 140)
WHITE   = (250, 250, 255)
GOLD    = (255, 215, 100)
SKY     = (180, 220, 255)

def to_pixel(x, y):
    px = int((x-XMIN)*(W-1)/(XMAX-XMIN))
    py = int((YMAX-y)*(H-1)/(YMAX-YMIN))
    return px, py

def dot(px, py, c, r=1):
    for dx in range(-r, r+1):
        for dy in range(-r, r+1):
            x2, y2 = px+dx, py+dy
            if 0<=x2<W and 0<=y2<H:
                set_pixel(x2, y2, c)

def line(x0,y0,x1,y1,c,r=1):
    dx, dy = x1-x0, y1-y0
    s = max(abs(dx), abs(dy))
    if s == 0:
        dot(x0, y0, c, r)
        return
    for i in range(s+1):
        x = int(x0+dx*i/s)
        y = int(y0+dy*i/s)
        dot(x, y, c, r)

def dim(c, k=0.25):
    return (int(c[0]*k),int(c[1]*k),int(c[2]*k))

def curve(f,xa,xb,c,th=1,n=None):
    if n is None:
        n = max(60, int((xb-xa)*90))
    prev = None
    for i in range(n+1):
        x = xa+(xb-xa)*i/n
        y = f(x)
        px, py = to_pixel(x, y)
        if 0<=px<W and 0<=py<H:
            if prev:
                line(prev[0],prev[1],px,py,c,th)
            else:
                dot(px, py, c, th)
            prev = (px, py)
        else:
            prev = None

def gc(f,xa,xb,c,th=1):
    curve(f,xa,xb,dim(c,0.22),th+1)
    curve(f,xa,xb,c,th)

def sym(f,xa,xb,c,th=1):
    gc(f,xa,xb,c,th)
    gc(lambda x,fr=f: fr(-x),-xb,-xa,c,th)

# Fond
fill_rect(0, 0, W, H, BG)

# Morceaux de tige 
tige_centres = []
yy = -6.3
while yy < 1.5:
    tige_centres.append(yy)
    yy += 0.8

for yc in tige_centres:
    gc(lambda x, yy=yc: -55*x**2 + yy + 0.7,
       -0.13, 0.13, GREEN, 2)

# Courbure tige
gc(lambda x: 0.008*x**3 + 0.12*x**2 + 0.25*x - 2.6,
   -0.13, 0.13, DGREEN, 2)

# Feuille droite 
# Bord superieur
gc(lambda x: -0.35*(x-2.2)**2 - 3.2,
   0.0, 4.2, GREEN, 2)
# Bord inferieur
gc(lambda x: 0.30*(x-2.2)**2 - 4.2,
   0.0, 3.9, GREEN, 2)
# Arrete 
gc(lambda x: -0.025*(x-2.2)**3 - 0.02*(x-2.2)**2 - 3.7,
   0.15, 3.6, LGREEN, 1)

# Feuille gauche
gc(lambda x: -0.30*(x+2.5)**2 - 4.0,
   -4.8, 0.0, DGREEN, 2)
gc(lambda x: 0.25*(x+2.5)**2 - 5.0,
   -4.5, 0.0, DGREEN, 2)
# Arrete
gc(lambda x: 0.020*(x+2.5)**3 - 0.015*(x+2.5)**2 - 4.5,
   -4.2, -0.15, LGREEN, 1)

# Feuille droite haute
gc(lambda x: -0.50*(x-1.5)**2 - 0.8,
   0.0, 3.0, GREEN, 1)
gc(lambda x: 0.45*(x-1.5)**2 - 1.6,
   0.0, 2.8, GREEN, 1)
# Arrete
gc(lambda x: -0.015*(x-1.5)**3 - 0.02*(x-1.5)**2 - 1.2,
   0.15, 2.5, LGREEN, 1)

# Feuille gauche
gc(lambda x: -0.45*(x+1.5)**2 - 1.2,
   -3.0, 0.0, DGREEN, 1)
gc(lambda x: 0.40*(x+1.5)**2 - 2.0,
   -2.8, 0.0, DGREEN, 1)
# Arrette
gc(lambda x: 0.015*(x+1.5)**3 - 0.02*(x+1.5)**2 - 1.6,
   -2.5, -0.15, LGREEN, 1)


# PETALE 
sym(lambda x: -1.8*x**2 + 6.5, 0.0, 1.7, RED, 2)
sym(lambda x: -0.9*x**2 + 4.0, 0.0, 1.5, RED, 2)
sym(lambda x: -1.4*x**2 + 5.8, 0.0, 1.3, ROSE, 1)
sym(lambda x: -1.1*x**2 + 5.0, 0.0, 1.1, LPINK, 1)

# PETALE HAUT DROIT
gc(lambda x: -0.38*(x-3.8)**2 + 4.8,
   1.2, 6.4, DPINK, 2)
gc(lambda x: -0.22*(x-3.5)**2 + 2.5,
   0.8, 5.8, DPINK, 2)
gc(lambda x: -0.32*(x-3.7)**2 + 4.1,
   1.6, 5.8, ROSE, 1)
gc(lambda x: -0.28*(x-3.6)**2 + 3.4,
   1.8, 5.2, LPINK, 1)

# PETALE HAUT GAUCHE 
gc(lambda x: -0.38*(x+3.8)**2 + 4.8,
   -6.4, -1.2, DPINK, 2)
gc(lambda x: -0.22*(x+3.5)**2 + 2.5,
   -5.8, -0.8, DPINK, 2)
gc(lambda x: -0.32*(x+3.7)**2 + 4.1,
   -5.8, -1.6, ROSE, 1)
gc(lambda x: -0.28*(x+3.6)**2 + 3.4,
   -5.2, -1.8, LPINK, 1)

# PETALE BAS DROIT 
gc(lambda x: -0.15*(x-4.0)**2 + 1.8,
   1.0, 6.5, ORANGE, 2)
gc(lambda x: 0.020*(x-3.8)**4 - 1.2,
   1.2, 5.8, ORANGE, 2)
gc(lambda x: -0.12*(x-3.9)**2 + 1.0,
   1.8, 5.8, YELLOW, 1)
gc(lambda x: -0.10*(x-3.8)**2 + 0.2,
   2.2, 5.2, LYELLOW, 1)

# PETALE BAS GAUCHE 
gc(lambda x: -0.15*(x+4.0)**2 + 1.8,
   -6.5, -1.0, ORANGE, 2)
gc(lambda x: 0.020*(x+3.8)**4 - 1.2,
   -5.8, -1.2, ORANGE, 2)
gc(lambda x: -0.12*(x+3.9)**2 + 1.0,
   -5.8, -1.8, YELLOW, 1)
gc(lambda x: -0.10*(x+3.8)**2 + 0.2,
   -5.2, -2.2, LYELLOW, 1)

# Cercle exterieur
sym(lambda x: -3.5*x**2 + 2.8, 0.0, 0.85, GOLD, 2)
sym(lambda x:  3.5*x**2 + 1.2, 0.0, 0.85, GOLD, 2)

# Cercle interieur
sym(lambda x: -5.0*x**2 + 2.5, 0.0, 0.62, YELLOW, 2)
sym(lambda x:  5.0*x**2 + 1.5, 0.0, 0.62, YELLOW, 2)

# Centre
sym(lambda x: -18*x**2 + 2.25, 0.0, 0.28, LYELLOW, 1)
sym(lambda x:  18*x**2 + 1.75, 0.0, 0.28, LYELLOW, 1)
gc(lambda x: -25*(x-0.3)**2 + 2.15,
   0.2, 0.4, WHITE, 1)
gc(lambda x: -25*(x+0.3)**2 + 2.15,
   -0.4, -0.2, WHITE, 1)
gc(lambda x: -30*x**2 + 2.35,
   -0.12, 0.12, WHITE, 1)

gc(lambda x: 3.5*x**2 + 1.2,
   -0.45, 0.45, GREEN, 2)
gc(lambda x: -8.0*x**2 + 1.5,
   -0.35, 0.35, DGREEN, 1)

gc(lambda x: -40*x**2 + 1.4,
   -0.15, 0.15, GREEN, 2)
gc(lambda x: -40*x**2 + 0.9,
   -0.14, 0.14, GREEN, 2)

# motif petale haut
sym(lambda x: -6*(x-0.7)**2 + 5.6,
    0.5, 0.9, WHITE, 1)
sym(lambda x: 5*(x-0.7)**2 + 5.2,
    0.55, 0.85, WHITE, 1)

# motif petale haut-droit
gc(lambda x: -4*(x-4.2)**2 + 4.0,
   3.9, 4.5, WHITE, 1)
gc(lambda x: 3.5*(x-4.2)**2 + 3.6,
   3.95, 4.45, WHITE, 1)

# motif petale haut-gauche
gc(lambda x: -4*(x+4.2)**2 + 4.0,
   -4.5, -3.9, WHITE, 1)
gc(lambda x: 3.5*(x+4.2)**2 + 3.6,
   -4.45, -3.95, WHITE, 1)

# motifs petale bas-droit
gc(lambda x: -3*(x-4.5)**2 + 0.5,
   4.1, 4.9, WHITE, 1)
gc(lambda x: 2.8*(x-4.5)**2 + 0.0,
   4.15, 4.85, WHITE, 1)

# motif petale bas-gauche
gc(lambda x: -3*(x+4.5)**2 + 0.5,
   -4.9, -4.1, WHITE, 1)
gc(lambda x: 2.8*(x+4.5)**2 + 0.0,
   -4.85, -4.15, WHITE, 1)

# ETOILES DECORATIVES
pts = [(-7,5.5),(-6,6.2),(6.5,5.8),
       (7.2,4.5),(-7.5,3),(7,-3),
       (-5.5,-6),(5,-5.8),(-3,6.8),
       (3.5,6.5),(-8,-1),(8,1),
       (-7,-4.5),(7.5,-5),(0,-7)]

for p in pts:
    xc, yc = p
    r = 0.15
    gc(lambda x,xc=xc,yc=yc:
       -12*(x-xc)**2+yc+0.15,
       xc-r, xc+r, SKY, 1)
    gc(lambda x,xc=xc,yc=yc:
       12*(x-xc)**2+yc-0.15,
       xc-r, xc+r, SKY, 1)

# POLLEN vers centre
pollen = [(1.5,3.5),(-1.2,3.8),(2.8,2.5),
          (-2.5,2.8),(0.5,3.2),(-0.8,2.9),
          (1.8,1.5),(-1.6,1.2),(0.3,3.9),
          (-0.4,1.0)]

for p in pollen:
    xc, yc = p
    gc(lambda x,xc=xc,yc=yc:
       -20*(x-xc)**2+yc+0.08,
       xc-0.08, xc+0.08, GOLD, 1)

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