if we lived in 4 spatial dimensions our cables would never get tangled. really makes you think
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there's this funny anthropic argument that we have to live in at least 3 spatial dimensions because 3 is the minimum number of dimensions in which every finite graph embeds
so 3 is the smallest dimension in which we can arbitrarily hook up e.g. organs, neurons, etc.
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I mean cables made from extruding a 3D shape along a 4th dimension I’d expect could still tangle, no?
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2d shapes (surfaces) in 4d can still tangle and knot up yeah. knotted surfaces are wack. hard to visualize
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So is the 4th dimension time so you say that at time x the cables are already untangled or is the no tangoes in 4d some fancy topological thing?
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they have more space to pass "through" each other. you can sort of visualize it by taking color to be a fourth dimension. you can move stuff in that dimension by changing its color and that lets you pass parts of cables "through" each other
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Replying to @visakanv
they have more space to pass "through" each other. you can sort of visualize it by taking color to be a fourth dimension. you can move stuff in that dimension by changing its color and that lets you pass parts of cables "through" each other
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