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Only some graphs can be embedded in ℝ², but every finite graph can be embedded in ℝ³.
This is really cool! It's immediately obvious and still weird, why is ℝ³ privileged in this way?
Only some graphs can be embedded in ℝ², but every finite graph can be embedded in ℝ³.
This is really cool! It's immediately obvious and still weird, why is ℝ³ privileged in this way?
(I didn't prove this or anything, so I hope it's not wrong)
ok nice so it's true: https://en.wikipedia.org/wiki/Graph_embedding#Embeddings_of_graphs_into_higher-dimensional_spaces