how to make a heart in desmos

Описание: Who said mathematics can't be romantic? ❤️📉

In this video, I used the Desmos Graphing Calculator to visualize what a heartbeat looks like using nothing but pure algebra and trigonometry. Set to the masterpiece "Choo Lo" by The Local Train, this graph represents the intersection of logic and emotion.

👇 THE MATH BEHIND THE HEART 👇

For those asking how to make this, it is not just a simple drawing! It uses a complex inequality to define the boundary of the heart and a sine wave function to create the "filling" or "shading" effect that looks like a heartbeat or a sound wave.

The classic Heart Equation usually looks something like this:
(x² + y² - 1)³ - x²y³ = 0

However, to get the "wavy" fill effect seen in the video, I modified the inequality to restrict the domain using a high-frequency sine wave. As the slider moves, the density of the lines changes, creating that satisfying "beating" animation.

🎶 SONG LYRICS (Choo Lo - The Local Train)
This song adds a whole new layer of meaning to the graph...
"Khada hoon aaj bhi wahin
Ki tera intezaar hai
Choo lo jo mujhe tum kabhi
Kho na jaaun main raat-din..."

✨ WHY DID I MAKE THIS?
Sometimes words aren't enough to express a feeling, but a graph is. Whether you are an engineering student, a math lover, or just someone missing a special person, this equation is for you.

🧠 TEACHERS & STUDENTS:
This is a great example of how to use:

Inequalities: Defining the region inside the heart.

Trigonometric Functions: Using Sin(x) to create the oscillation.

Domain & Range: Restricting where the graph appears.

📍 TIMESTAMPS:
0:00 - The Empty Grid
0:05 - The Equation Takes Shape
0:10 - The Heartbeat (Choo Lo drops)
0:15 - The Completed Graph

🔔 SUBSCRIBE for more aesthetic math, coding art, and Desmos tutorials!
Comment below: What equation should I graph next? 👇

#Desmos #MathArt #ChooLo #TheLocalTrain #HeartEquation #Mathematics #Calculus #Algebra #GraphingCalculator #Stem #Engineering #Love #IndieMusic #Aesthetic #MathShorts #ViralMath #Satisfying #OddlySatisfying #Physics #Coding #GenerativeArt