LIVE tutorial on the basics of Painting with Mathematics. Source code/math for the painting here: https://www.shadertoy.com/view/XssSRX
Support this channel: https://www.patreon.com/inigoquilez

More tutorials on maths , art, SDFs and computer graphics: https://iquilezles.org

Donate: http://paypal.me/inigoquilez
Subscribe: https://www.youtube.com/c/inigoquilez
Support: https://www.patreon.com/inigoquilez
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The basics of Painting with Maths

How to create a simple heart with mathematics.
Support this channel: https://www.patreon.com/inigoquilez

Code and real-time version: https://www.shadertoy.com/view/4lK3Rc
Tutorials on maths , art, SDFs and computer graphics: http://iquilezles.org

Donate: http://paypal.me/inigoquilez
Subscribe: https://www.youtube.com/c/inigoquilez
Support: https://www.patreon.com/inigoquilez
Twitter: https://twitter.com/iquilezles
Facebook: https://www.facebook.com/inigo.quilez

Making a heart with Maths

Resource limits bend exponential curves into S-shaped logistic curves. The fourth in a series on evolution.

Made with Blender and python. 
Github: https://github.com/Helpsypoo/primer

Special thanks to supporters on Patreon, especially:
Jordan Scales
世珉 匡
Eric Helps
Ben Kamens
Christy Serbus
Sean Barker

Support Primer on Patreon: 
https://www.patreon.com/primerlearning

For discussion and updates
- Discord: https://discord.gg/NbruaNW
- Reddit: r/primerlearning
- Twitter: @primerlearning
- Facebook: facebook.com/primerlearning

Streaming myself working on these monstrosities:
- Twitch: https://www.twitch.tv/primerjustin

More on logistic growth on Khan Academy:
https://www.khanacademy.org/math/ap-calculus-bc/bc-differential-equations-new/bc-7-9/v/modeling-population-with-differential-equations
https://www.khanacademy.org/science/high-school-biology/hs-ecology/hs-population-ecology/v/exponential-and-logistic-growth-in-populations

License information:
Creative Commons 4.0 (CC-BY-NC). More info at https://creativecommons.org/licenses/by-nc/4.0/

Speaking of attribution:

The 3D bunny model comes from the Stanford Computer Graphics Laboratory: http://graphics.stanford.edu/data/3Ds...

The music is "Summer Days" by Kai Engel, distributed under a CC-BY-NC license via the Free Music Archive. http://freemusicarchive.org/music/Kai_Engel/

Several other inputs into the graphics are from public domain contributions to https://www.blendswap.com.

Simulating Competition and Logistic Growth

In this video, we go beyond equilibrium and think about how populations of replicators grow, or don't. The second in a series on evolution.

Made with Blender and python.

Special thanks to supporters on Patreon, especially:
Jordan Scales
Eric Helps
Ben Kamens

Support Primer on Patreon: 
https://www.patreon.com/primerlearning

For discussion and updates
- Discord: https://discord.gg/NbruaNW
- Reddit: r/primerlearning
- Twitter: @primerlearning
- Facebook: facebook.com/primerlearning

Streaming myself working on these monstrosities:
- Twitch: https://www.twitch.tv/primerjustin

Explanation of how exponential growth comes from a linear rate function. (Promised at 7:00)
https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-exp-models/v/modeling-population-with-simple-differential-equation

License information:
Creative Commons 4.0 (CC-BY-NC). More info at https://creativecommons.org/licenses/by-nc/4.0/

Speaking of attribution:

The music is "A remedy for melancholy" by Kai Engel, distributed under a CC-BY license via the Free Music Archive. http://freemusicarchive.org/music/Kai...

The chicken is from a public domain contribution to https://www.blendswap.com/

How life grows exponentially

In this video, we see how mutations can lead from simple replicators to complex organisms. The third in a series on evolution.

Made with Blender and python.

More on RNA as the first replicator: https://en.wikipedia.org/wiki/RNA_world

Special thanks to supporters on Patreon, especially:
Jordan Scales
世珉 匡
Eric Helps
Ben Kamens
Christy Serbus

Support Primer on Patreon: 
https://www.patreon.com/primerlearning

For discussion and updates
- Discord: https://discord.gg/NbruaNW
- Reddit: r/primerlearning
- Twitter: @primerlearning
- Facebook: facebook.com/primerlearning

Streaming myself working on these monstrosities:
- Twitch: https://www.twitch.tv/primerjustin

License information:
Creative Commons 4.0 (CC-BY-NC). More info at https://creativecommons.org/licenses/by-nc/4.0/

Speaking of attribution:

The 3D bunny model comes from the Stanford Computer Graphics Laboratory: http://graphics.stanford.edu/data/3Ds...

The music is "Summer Days" by Kai Engel, distributed under a CC-BY-NC license via the Free Music Archive. http://freemusicarchive.org/music/Kai_Engel/The_Scope/Kai_Engel_-_The_Scope_-_03_Summer_Days

Several other inputs into the graphics are from public domain contributions to https://www.blendswap.com.

Mutations and the First Replicators

How to derive formula of the SDF of a Box, a common shape in procedural modeling.
Support this channel: https://www.patreon.com/inigoquilez

Tutorials on maths , art, SDFs and computer graphics: https://iquilezles.org

Donate: http://paypal.me/inigoquilez
Subscribe: https://www.youtube.com/c/inigoquilez
Support: https://www.patreon.com/inigoquilez
Twitter: https://twitter.com/iquilezles
Facebook: https://www.facebook.com/inigo.quilez

Soundtrack by Khrome:  https://www.facebook.com/KhromeMusic

The SDF of a Box

Visualizing the dynamics of the Collatz Conjecture though fractal self-similarity.
Support this channel: https://www.patreon.com/inigoquilez

Tutorials on maths and computer graphics: https://iquilezles.org
Code for this video: https://www.shadertoy.com/view/llcGDS

Donate: http://paypal.me/inigoquilez
Subscribe: https://www.youtube.com/c/inigoquilez
Support: https://www.patreon.com/inigoquilez
Twitter: https://twitter.com/iquilezles
Facebook: https://www.facebook.com/inigo.quilez

The Collatz Conjecture and Fractals

Discord: https://discord.gg/Ap2sf3sKqg
Instagram: https://www.instagram.com/mrpsolver/