Given a prime p, we introduce the p-adic absolute value on the rational numbers. We define triangles and angles using this absolute value and investigate their behavior in p-adic geometry and how it differs from Euclidean geometry. Finally, we consider the existence of other polygons using the new absolute value.
Allon Koch, Department of Mathematics, Agnes Scott Collegeakoch@agnesscott.edu
"Some Geometry of the p-adic Rationals,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 8
, Article 2.
Available at: https://scholar.rose-hulman.edu/rhumj/vol8/iss1/2