Creatures in Higher Dimensions
Emergent Garden
Dec 20, 2025 13:00
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Chapters
Functions describe the world. Join me on a tour of hyperspace, and see the many strange creatures that live there. They are just functions with lots of inputs and outputs. They are parametric surfaces that take inputs u and v, and output spatial x,y,z coordinates, and r,g,b,a color outputs. This produces a colored 3d surface. Then you can add additional inputs and visualize a single slice of each input parameter, and slide through different parameter values to see different slices of the function over time. This causes the colored surface to evolve over time.
I take my time to build up the mathematical intuitions behind visualizing functions, starting with 1-in-1-out functions, and pushing it up to 7-in-7-out functions, and beyond.
Enter Hyperspace: https://evolvecode.io/hyperspace/index.html
Source Code: https://github.com/MaxRobinsonTheGreat/hyperdimensions
Discord: https://discord.gg/tnjmrmprQs
~SUPPORT ME~
Scrimba: https://scrimba.com/?via=EmergentGarden
Patreon: https://www.patreon.com/emergentgarden
Ko-fi: https://ko-fi.com/emergentgarden
Twitter: https://twitter.com/max_romana
Bluesky: https://bsky.app/profile/emergentgarden.bsky.social
~SOURCES~
Functions Describe the World: https://youtu.be/zHU1xH6Ogs4?t=61
Hyperspace animation: https://www.youtube.com/watch?v=6ga4IICXyCE
Shell Surfaces: https://www.geogebra.org/m/twfwsxb9
Music: https://www.youtube.com/@acolyte-compositions
Most come from this new album: https://www.youtube.com/watch?v=kx5DtYiJ2DI
AI Disclaimer:
I used AI code tools for the website and animations.
No AI video, images, script, voice, or music were used.
~TIMESTAMPS~
Science & Technology