![[Repost Q] Are there commonly used shapes for testing 4D+ classifiers? (such as half moons for 2D)](https://www.researchgate.net/profile/Alfredo-Petrosino/publication/262933138/figure/fig1/AS:296064566480913@1447598701585/Classification-on-the-two-moons-dataset-top-The-synthetic-dataset-conforming-a_W640.jpg){kind=link}
This question is being reposted to preserve technical content removed from elsewhere. Feel free to add your own answers/discussion.
Original question: Using interleaving half circles or circle inside another circle seem common for 2D, are there similar shapes people use for higher dimensions? Maybe a hypersphere inside a hypersphere? I was thinking of trying to do something more complicated than a bunch of blobs.
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A hypersphere within a second hypersphere or a swiss roll:
Can both easily be reproduced in more than 2 dimensions.