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In this video, I visualize the "mathematical heart" Cardioid using times tables calculations. Code: https://thecodingtrain.com/challenges...

🕹️ p5.js Web Editor Sketch: https://editor.p5js.org/codingtrain/s...

🎥 Previous video:    • Coding Challenge 132: Fluid Simulation  
🎥 Next video:    • Coding Challenge #134.1: Heart Curve  
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References:
🗄 Cardioid on Wikipedia: https://en.wikipedia.org/wiki/Cardioid
📝 Rainbow Topics suggestion from Eduardddd: https://github.com/CodingTrain/Rainbo...

Videos:
🎥 Times Tables, Mandelbrot and the Heart of Mathematics:    • Times Tables, Mandelbrot and the Heart of ...  
🎥 Times Tables Visualization Poster in Processing:    • Times Tables Visualization Poster in Proce...  
🎥 Polar Coordinates:    • 3.4 Polar Coordinates - The Nature of Code  
🎥 The Modulo Operator:    • Guest Tutorial #6: The Modulo Operator wit...  
🔴 Coding Train Live 168:    • Coding Train Live 168: Mathematical Hearts...  

Related Coding Challenges:
🚂 #21 Mandelbrot Set with p5.js:    • Coding Challenge 21: Mandelbrot Set  
🚂 #116 Lissajous Curve Table:    • Coding Challenge #116: Lissajous Curve Table  
🚂 #134 Heart Curve:    • Coding Challenge #134.1: Heart Curve  
🚂 #163 Bézier Curves:    • Bézier curves (Coding Challenge 163)  

Timestamps:
0:00 Introduction
1:00 Simon Tiger's Processing Day presentation
2:07 Discussion of the times tables calculations
4:03 Start Coding!
5:34 Map the point's index to an angle
6:08 Use polar coordinates to get point location
6:31 Draw the points
7;48 Start with the 2-times table
8:37 Write a getVector() function
11:00 Use modulo operator to get remainder for mapping
12:28 Add PI to rotate the cardioid 180 degrees
13:31 Animate by mapping mouseX to the total number of points
14:34 Change to 3-times table
16:19 Animate by changing the factor
16:43 Conclusion and creative possibilities

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

🚂 Website: http://thecodingtrain.com/
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🎥 Coding Challenges:    • Coding Challenges  
🎥 Intro to Programming:    • Start learning here!  

🔗 p5.js: https://p5js.org
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🔗 Processing: https://processing.org

📄 Code of Conduct: https://github.com/CodingTrain/Code-o...

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#cardioid #cardioidtimestables #timestablesvisualization #heartalgorithm #polarcoordinates #modulooperator #processing