Jessica N. Copher

most citedSums of Squared Distances between Points on a Unit

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math.MG2020★ 1 cited

Sums of Squared Distances between Points on a Unit $n$ -Sphere

Jessica N. Copher

In this paper, we prove two theorems concerning the sums of squared distances between points on a unit $n$ -sphere that generalize two facts previously known about the case where th…

math.MG2019

Sums and Products of Regular Polytopes' Squared Chord Lengths

Jessica N. Copher

Although previous research has found several facts concerning chord lengths of regular polytopes, none of these investigations has considered whether any of these facts define rela…

Sums of Squared Distances between Points on a Unit n-Sphere

Sums and Products of Regular Polytopes' Squared Chord Lengths

Sums of Squared Distances between Points on a Unit $n$ -Sphere