On the continual Rubik’s cube
نویسنده
چکیده
Let f and g be two continuous functions on the unit sphere Sn−1 in Rn , n ≥ 3, and let their restrictions to any one-dimensional great circle E coincide after some rotation φE of this circle: f (φE (θ)) = g(θ)∀θ ∈ E . We prove that in this case f (θ) = g(θ) or f (θ) = g(−θ) for all θ ∈ Sn−1. This answers the question posed by Richard Gardner and Vladimir Golubyatnikov. Published by Elsevier Inc.
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