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I'll double check accessibility for non-subscribers to any New Scientist articles before posting from now on.
I did a quick search for "Sarah Hart cycloid" and found a few things, but the closest I found to this article's content was a podcast:
https://kpknudson.com/my-favorite-theorem/2023/7/20/episode-86-sarah-hart
I haven't listened to it, and a I realize that a podcast episode is far from a 1:1 substitute for a written article, but I thought I'd mention it.
Thanks for the heads-up. 
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