Coding Challenge #55: Mathematical Rose Patterns

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Published on February 8, 2017 5:58:40 PM ● Video Link: https://www.youtube.com/watch?v=f5QBExMNB1I

Duration: 12:44

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In this coding challenge, I attempt to create rose (rhodonea) curves using trigonometry function and polar coordinates. Code: https://thecodingtrain.com/challenges/55-mathematical-rose-patterns

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References:
🏛 Rose Mathematics on Wikipedia: https://en.wikipedia.org/wiki/Rose_(mathematics)

Live Stream Archives:
🔴 Live Stream #76: https://youtu.be/OkkjlHTdLGI

Related Coding Challenges:
🚂 #116 Lissajous Curve Table: https://youtu.be/--6eyLO78CY
🚂 #125 Fourier Series: https://youtu.be/Mm2eYfj0SgA
🚂 #133 Times Tables Cardioid Visualization: https://youtu.be/bl3nc_a1nvs
🚂 #134 Heart Curve: https://youtu.be/oUBAi9xQ2X4
🚂 #C1 - Coding in the Cabana Maurer Rose: https://youtu.be/4uU9lZ-HSqA

Timestamps:
0:00 Introduction to the Mathematical Rose Patterns Coding Challenge
0:35 Whiteboard discussion of polar coordinates
3:15 Discussion about how to use the r=cos(kθ) formula
3:45 Into the code...draw a circle with polar to cartesian transformation
5:30 Start to draw shapes using the formula
6:46 In a way, we're done! But wait, there's more...
7:35 Re-creating some patterns from the Wikipedia page; using the k=n/d form
8:50 Adding the p5.js DOM library to create some sliders
10:30 Re-factoring the code use the denominator of the k=n/d formula as the number of loops in the draw function
11:30 Done! What else can you do with it?!

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

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#algorithmicroses #mathematicsroses #polarcoordinates #trigonometry #p5js #javascript