Calabi-Yau Manifolds projected to 3D from 6D

Discussion
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I made a Calabi-Yau manifold about a year ago before I discovered desmos forums. Hope you like it! My graph is here: Calabi-yau manifold | Desmos

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How did you project the 6D points into 3D?

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I used an example projection from Calabi-Yau Manifolds. He provides the equations there. I actually dont really know how it works, but I was told it is a projection from 6D to 3D. So technically the topic title isn’t really true.

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I did some research and it is actually technically a simplification of the equation. The actual Calabi-Yau manifold equatino is a 10-dimensional fermat quintic equation z1^5+z2^5+z3^5+z4^5=0, where each z is a complex number (so x+iy, z+wi, ect…). The one I graphed is a solution to z1^n+z2^n=0

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I made a full version with all 6D rotations. I’m not sure if it works because it takes hours to load on my computer and I just gave up waiting. Calabi-Yau Manifold - Complete | Desmos

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I have done more research and the calabi-yau manifold is actually a classification of manifolds. The first one and the ew one are both examples of them, just in different generalizations. The first one is a fermat curve of degree n, the second is a Fermat Hypersurface of degree n, essentially a generalization of the previous one.