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Corrections clarify errors in geometric relations of equilateral polygons, enhancing mathematical accuracy.
The above-mentioned paper [1] contains errors that need to be corrected, which are listed below.The authors apologize to the readers for these errors.p. 236, line 6, "an equilateral n-gon" should be corrected to "a convex equilateral n-gon".p. 237, line 8 from bottom, "one of the n-gons" should be corrected to "one of the equilateral n-gons".p. 240, lines 14-15, "Hence by Lemma 2.2, L contains a convex equilateral p-gon.By Lemma 2.3," should be corrected to "Hence by Lemma 2.3, ((L)) contains a convex equilateral n-gon for every odd n p.By Lemma 2.2,".p. 240, line 10 from bottom, "By Theorem 1.2," should be corrected as follows:"Let v 1 , . . ., v n be the edge-vectors of an equilateral n-gon contained in L.Suppose {v 1 , . . .,Since v 1 and v 2 are linearly independent, we have a -b = c -d = 0, and hence a + b + c + d is even, which contradicts that n is odd.Therefore, there exists t {3, . . ., n} such that v t / {v 1 , v 2 }.Now L contains six distinct vectors v 1 , v 2 , v t of equal length with sum 0, and hence L contains a convex equilateral hexagon by Lemma 2.1.Hence by Theorem 1.2,".
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Iino et al. (2025) studied this question.