I can imagine a 7D hypercube better than many “ordinary” things in 3D! Can you imagine a tree with 6,342 leaves? I can picture something vaguely like that, but if you ask me for details I’ll contradict myself eventually. But I can tell you anything about a 7D hypercube.
Can you imagine a 7D hypercube? Me neitherhttps://twitter.com/jezzamonn/status/1149842845735350272 …
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Yes but can you imagine 6,342 7-dimensional leaves? I’m not quite sold that imagining an approximate number of leaves is a relevant analogy for visualizing extra dimensions
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Convinced that no one can
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That is more a three-dimensional overpriced trinket you buy at the art fair thinking it is cool, have no use for, but cool is cool
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It's easy. You just imagine a 6D hypercube and then add an extra dimension.
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I'm confused. How's a 7D cube being represented in 3D? Projections or dimensionality reductions into 3D?
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it's pretty simple, you just imagine an n-D hypercube and then let n = 7
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A professor of mine back in university liked to say that visualizing higher dimensions is like riding a bike and thinking of the degrees of freedom of different parts as the variables... I can't say it helped me much though, just throwing it out there.
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Easy. Hold a 7-cube with tips of two fingers and give it a spin, and count the vertices from one end to the other: 1, 7, 21, 35, 35, 21, 7, and 1.
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