The heart shape has been a symbol of love since ancient times, used to express deep emotions and endless passion. When this emotion is combined with mathematics, we get a unique romance - expressing love through formulas and graphs. This combination not only gives love depth and multidimensionality, but also brings a unique tenderness to mathematics. In this article, we will show how to create this heart-shaped image through different mathematical functions.
1. Parametric equations
2. Polar coordinate equation 1
3. Polar coordinate equation 2
4. Implicit equations
5. Unlimited Love
This set of equations describes an infinitely expanding heart-shaped pattern that, like love, has no boundaries and no end.
6. Fill the heart
This equation will produce different variations of the red heart at different values of a.
Here we take a=1,5,10,100,1000,10000 respectively for plotting as follows
7. Beating Heart
The function jumps because we can take different values of t, and the heart shape will be enlarged or reduced on the original basis. Here we draw the image of t=-10,-5,5,10
Love, this ancient and eternal theme, shows a different charm under the lens of mathematics. These equations are not just cold numbers and symbols, they are the carriers of love and the annotations of emotions. Every line and every curve is full of affection and warmth. Just like love, mathematics also has its mysterious and incredible side. Through these equations, we can see that love and mathematics are both the most beautiful languages in the universe.
