The essence of love code is an algorithm that generates points based on mathematical formulas. By changing the coefficients, points, colors and fills in the formula, love with different shapes, smoothness and colors can be drawn.
Love code: more than just copy and paste
Many tutorials teach you how to copy and paste the code and then run it, and it feels like magic. But that's far from enough. True programming is understanding, creation, and making the code come alive. In this article, we don’t just copy and paste the love code, but we get to the bottom of it and even improve it yourself. After reading it, you can not only draw love, but also understand how it is drawn, and even draw cooler patterns!
Let’s start with the basics, we use Python. You have to be familiar with the basic syntax of Python and know variables, loops, and functions. If you can't even print("Hello, world!")
run, then we have to lay a solid foundation first.
The core of love code lies in mathematics. A love is actually composed of many points, and the position of these points is determined by a mathematical formula. The simplest formula for love is usually expressed in polar coordinates:
<code class="python">import math def heart_coordinates(t): x = 16 * math.sin(t)**3 y = 13 * math.cos(t) - 5 * math.cos(2*t) - 2 * math.cos(3*t) - math.cos(4*t) return x, y</code>
This code defines a function heart_coordinates
, which accepts an angle t
as input and returns the corresponding x and y coordinates. math.sin
and math.cos
are trigonometric functions, and they are the key to drawing a heart-shaped curve. The parameter t
changes from 0 to 2π (that is, 0 to 2*math.pi), and the entire love can be depicted.
Next, we draw these points. We can use the matplotlib library:
<code class="python">import matplotlib.pyplot as plt import numpy as np t = np.linspace(0, 2 * np.pi, 500) # 生成500个角度点x, y = zip(*[heart_coordinates(tt) for tt in t]) # 运用列表推导式高效计算坐标plt.plot(x, y) plt.axis('equal') # 保证x,y轴比例相同,避免爱心变形plt.show()</code>
This code first uses np.linspace
to generate a series of angle values, and then uses a list comprehension formula to efficiently calculate the coordinates of all points. The zip(*...)
technique is worth learning, it can cleverly merge two lists into coordinate pairs. Finally, matplotlib
is responsible for connecting these dots and drawing love.
This is just the most basic version. You can modify the coefficients in the formula to get love with different shapes. You can change the number of points to affect the smoothness of your love. You can even add colors and fills to make your love more beautiful.
Remember, code is not dead. Don't just copy and paste it, understand it, modify it, and create your own love code! For example, you can try to draw love in a more graphical way using different libraries, such as the turtle library. Or, you can try drawing more complex patterns like roses, snowflakes, etc. This requires you to have a deeper understanding of mathematical formulas and the graphics library.
Problems you may encounter: You may encounter various problems when installing the library. Double check your network connection and library version compatibility. If the code runs an error, carefully check each line of code to understand the error message. Don't be afraid of making mistakes. Learning from them is one of the most important skills in programming.
Finally, remember that the joy of programming lies in creation. Hopefully you learn from this article that it is not just a piece of code, but a programming way of thinking. Go create, explore, and enjoy the fun of programming!
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