Abstract
LetQ be any rectangle and letK ⊂ ℝd (d ≥ 2) be a continuum which is either symmetric across a hyperplane or symmetric through a pointz ∉K. We show thatK contains the vertices of a rectangle similar toQ which exhibits the same symmetry as doesK.
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Nielsen, M.J., Wright, S.E. Rectangles inscribed in symmetric continua. Geom Dedicata 56, 285–297 (1995). https://doi.org/10.1007/BF01263570
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DOI: https://doi.org/10.1007/BF01263570