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Is there a way to visualize multiple n-dimensional ($n\approx300$) unit vectors with the property that large changes to the vector result in large visual changes, but small changes result in little to no changes?

Often the vectors are non-uniform, so my best attempt has been to put them on a grid and highlight the components that are strongly negative or positive, like so:

enter image description here

I've experimented with using the vector as an IC to a reaction-diffusion system, but this suffers from a number of drawbacks (speed, trivial solutions, chaos).

The goal is to create an Identicon for a users to cognitively associate a particular point in this space with a picture.

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