The UMAP and tSNE algorithms both use fancy math to find a 2-dimensional representation of the data that tries to preserve local structure as much as possible.

The UMAP and tSNE algorithms both use fancy math to find a 2-dimensional representation of the data that tries to preserve local structure as much as possible. So blobs in the original space should be represented as blobs in the reduced space, but the relative positions of any two blobs in the reduced space is not meaningful.