We study the outcome of taking midsets of two lines in ℓ1 geometry.We establish the algorithm for repeatedly finding these midsets and characterize the limiting midsets.We discuss the issue of angle measurement in Minkowski geometries, especially with respect to the limiting midsets.
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Joshua M. Fitzhugh, David L. Farnsworth, "The Behavior of Midsets When Repeatedly Taking the Midset of Two Lines in Geometry", International Journal of Mathematics and Mathematical Sciences, vol. 2014, Article ID 832647, 5 pages, 2014. https://doi.org/10.1155/2014/832647
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