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"To deal with hyper-planes in a 14-dimensional space, visualize a 3-D space and say 'fourteen' to yourself very loudly. Everyone does it." (thanks hinton) From
by dekhn 3y ago
"To deal with hyper-planes in a 14-dimensional space, visualize a 3-D space and say 'fourteen' to yourself very loudly. Everyone does it." (thanks hinton)
From a quick look, it looks like the app tries to take a nD object and project it down to 3D and render that in 2D while using rotation to demonstrate... something?
I work with nD arrays and the only way I can visualize them (to the extent that I can visualize anything in my head; it's tough) is either by making 2D planes and viewing those or by looking at the node connections (like in a hypercube).
Even then I don't think that's conceptually anything like "comprehending" high dimensional geometry in its native state.
- 0xndavd 3y agoThank you for the feedback. I give a detailed description here https://github.com/ndavd/ncube#but-what-am-i-actually-visualizing https://github.com/ndavd/ncube#but-what-am-i-actually-visual.... This basically was inspired by the famous GIF of the tesseract. As I mentioned in the url above, it's an impossible task to visualize in its entirety something with a dimension higher than 3. But we can take a look at its shadow and see how it behaves when rotating along a certain plane. If you have some idea on how to build on it please feel free to share or even create a discussion for it on the repository. I opened discussions earlier today just for that.