Math club notes
I'm a mathematician. On my homepage I want to have something that would highlight this. Like an animation of some elusive manifold. A good friend of mine found mesmeraizing aimation of Calabi-Yau manifold. So let's implement it!
By the way, check this out, the quadridimensional version
Other vizualizations
- http://members.wolfram.com/jeffb/visualization/stringtheory2.shtml
- 3D printing models https://people.math.harvard.edu/~knill/3dprinter/exhibits/calabiyau/index.html
- Formulae, explanation and d3.js code https://observablehq.com/@sw1227/calabi-yau-manifold-3d
- Wireframe version with Three.js https://analyticphysics.com/Higher%20Dimensions/Visualizing%20Calabi-Yau%20Manifolds.htm
exponent=5 projection=3.6 Credit: @sw1227
The math
So to bring this animation to my website, I need to undestand the math behind it. And then understand how the manifold can be vizualized.
- About hidden dimensions https://plus.maths.org/content/hidden-dimensions
- About each of 10 dimensions https://phys.org/news/2014-12-universe-dimensions.html
The code
Before integrating it into my layout and maybe even into React.js I start with vanilla HTML + JS on Codepen.
Further reading
- Another cool geometrical form is a lemniscate
- More amazing visualizations from Shingo WATANABE