Wheel Model

sketchfab

Modeling A Wheel Exercise We're going to build a real wheel using just code! Imagine you are building a toy car and it needs a wheel. You will learn how to write your own program that generates a 3D wheel from scratch. The goal is not only to create the model but also to understand how 3D modeling works. Let's Start: - Wheel diameter (D): 10 units - Rim width (W): 2 units - Hub radius (H): 1 unit We will use Python and a library called Matplotlib to generate our wheel. First, we need to import the necessary libraries: ```python import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D ``` Next, let's define some variables for our wheel dimensions: ```python D = 10 W = 2 H = 1 ``` Now we can draw the wheel. We will use a loop to create each point on the circle and then plot it. ```python fig = plt.figure() ax = fig.add_subplot(111, projection='3d') theta = np.linspace(0, 2*np.pi, 100) x = D/2 * np.cos(theta) + W/2 * np.sin(theta) y = D/2 * np.sin(theta) - W/2 * np.cos(theta) z = H ax.plot(x, y, z) plt.show() ``` The code will create a simple wheel with the specified dimensions. However, our goal is to generate this model from scratch. So let's use Matplotlib's built-in functions to draw the circle. ```python import numpy as np fig = plt.figure() ax = fig.add_subplot(111, projection='3d') theta = np.linspace(0, 2*np.pi, 100) x = D/2 * np.cos(theta) + W/2 * np.sin(theta) y = D/2 * np.sin(theta) - W/2 * np.cos(theta) ax.plot(x, y, z=np.zeros_like(x)) plt.show() ``` Now we have a wheel model that is generated from code. We can adjust the dimensions and parameters to suit our needs. Let's Try Another Approach: We will use Matplotlib's 3D plotting capabilities to draw the wheel. ```python import numpy as np fig = plt.figure() ax = fig.add_subplot(111, projection='3d') theta = np.linspace(0, 2*np.pi, 100) x = D/2 * np.cos(theta) + W/2 * np.sin(theta) y = D/2 * np.sin(theta) - W/2 * np.cos(theta) ax.plot(x, y, z=np.zeros_like(x)) plt.show() ``` This code will generate a wheel model with the specified dimensions.