A conjecture on iterated circumcentres
Luis Goddyn discovered this curiosity, and proved the above conjecture for . He also studied related sequences, for instance, the sequence in where the point is the circumcentre of the points with index , , and . See Iterated Circumcenters for a delightful and interactive discussion of this problem.
*[G] Luis Goddyn, Iterated Circumcenters
* indicates original appearance(s) of problem.