Python et Turtle

 import turtle

import random

# Configuration de la fenêtre

turtle.bgcolor("black")

t = turtle.Turtle()

t.speed(0)

t.width(2)

# Palette de couleurs vives

colors = ["#ff6b6b", "#feca57", "#48dbfb", "#1dd1a1", "#5f27cd", "#c8d6e5"]

# Fonction pour dessiner un motif

def motif(taille, angle, repetitions):

    for i in range(repetitions):

        t.color(random.choice(colors))

        t.circle(taille)

        t.right(angle)

        taille += 3  # croissance progressive

# Positionnement initial

t.penup()

t.goto(0, 0)

t.pendown()

# Dessin du motif

motif(taille=30, angle=15, repetitions=60)

turtle.done()

import turtle

import random

t = turtle.Turtle()

t.speed(2)

turtle.bgcolor("black")

colors = ["#ff9ff3", "#feca57", "#1dd1a1", "#54a0ff", "#5f27cd"]

for i in range(120):

    t.color(random.choice(colors))

    t.forward(i * 3)

    t.right(150)

import turtle

import random

t = turtle.Turtle()

t.speed(0)

turtle.bgcolor("black")

colors = ["#ff6b6b", "#48dbfb", "#1dd1a1", "#feca57"]

for i in range(36):

    t.color(random.choice(colors))

    t.circle(100)

    t.right(10)

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

# ---------------------------------------------------------

# Fonctions mathématiques 3D

# ---------------------------------------------------------

def f_sin_wave(x, y):

    return np.sin(np.sqrt(x**2 + y**2))

def f_paraboloid(x, y):

    return x**2 + y**2

def f_ripple(x, y):

    return np.sin(x) * np.cos(y)

def f_super_gaussian(x, y):

    r2 = x**2 + y**2

    return np.exp(-(r2**2) / 2000)

# ---------------------------------------------------------

# Fonction générique de tracé

# ---------------------------------------------------------

def plot_3d(func, title="Surface 3D", cmap="viridis"):

    fig = plt.figure(figsize=(10, 7))

    ax = fig.add_subplot(111, projection="3d")

    # Domaine

    x = np.linspace(-10, 10, 300)

    y = np.linspace(-10, 10, 300)

    X, Y = np.meshgrid(x, y)

    # Calcul de Z

    Z = func(X, Y)

    # Tracé

    surf = ax.plot_surface(X, Y, Z, cmap=cmap, linewidth=0, antialiased=True)

    ax.set_title(title)

    ax.set_xlabel("X")

    ax.set_ylabel("Y")

    ax.set_zlabel("Z")

    fig.colorbar(surf, shrink=0.5, aspect=10)

    plt.show()

# ---------------------------------------------------------

# Exemples d'utilisation

# ---------------------------------------------------------

plot_3d(f_sin_wave, "Onde sinusoïdale 3D", cmap="plasma")

# plot_3d(f_paraboloid, "Paraboloïde", cmap="inferno")

# plot_3d(f_ripple, "Motif sin(x)*cos(y)", cmap="cool")

# plot_3d(f_super_gaussian, "Super-Gaussienne", cmap="magma")

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

# Paramètres de la chips

a = 4

b = 4

# Domaine

x = np.linspace(-10, 10, 300)

y = np.linspace(-10, 10, 300)

X, Y = np.meshgrid(x, y)

# Fonction chips (hyperbolic paraboloid)

Z = (X**2 / a**2) - (Y**2 / b**2)

# Tracé

fig = plt.figure(figsize=(10, 7))

ax = fig.add_subplot(111, projection="3d")

surf = ax.plot_surface(X, Y, Z, cmap="plasma", edgecolor="none")

ax.set_title("Surface en forme de chips (Hyperbolic Paraboloid)")

ax.set_xlabel("X")

ax.set_ylabel("Y")

ax.set_zlabel("Z")

fig.colorbar(surf, shrink=0.5, aspect=10)

plt.show()

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

# Domaine

x = np.linspace(-10, 10, 300)

y = np.linspace(-10, 10, 300)

X, Y = np.meshgrid(x, y)

# Première vague sinusoïdale

Z1 = np.sin(np.sqrt(X**2 + Y**2))

# Deuxième vague sinusoïdale (décalée)

Z2 = np.sin(np.sqrt(X**2 + Y**2) + 1.5)

# Figure

fig = plt.figure(figsize=(12, 8))

ax = fig.add_subplot(111, projection="3d")

# Surface 1

ax.plot_surface(

    X, Y, Z1,

    cmap="cool",

    alpha=0.8,

    linewidth=0,

    antialiased=True

)

# Surface 2

ax.plot_surface(

    X, Y, Z2,

    cmap="autumn",

    alpha=0.8,

    linewidth=0,

    antialiased=True

)

# Labels

ax.set_title("Deux vagues sinusoïdales en 3D", fontsize=16, fontweight="bold")

ax.set_xlabel("X")

ax.set_ylabel("Y")

ax.set_zlabel("Z")

plt.tight_layout()

plt.show()