The problem below is an old problem that I've not yet managed to solve or rather have not had much time to work on. It is hoped that by sharing it here, others may become interested in solving it.
Nested Fermat Quadrilaterals Conjecture
If anyone visiting here manages to prove or refute the conjecture above, please let me know so as to update its status. It may also be that it is not original and may already appear in some journal or book somewhere - such references would be appreciated.
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Updated, Michael de Villiers, 16 July 2011; updated 18 March 2025.