Abstract
The normal direction to the normal direction to a line in Minkowski geometries generally does not give the original line. We show that in lp geometries with p > 1 repeatedly finding the normal line through the origin gives sequences of lines that monotonically approach specific lines of symmetry of the unit circle. Which lines of symmetry that are approached depends upon the value of p and the slope of the initial line.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Date
11-2013
Document Type
Article
Department, Program, or Center
School of Mathematical Sciences (COS)
Recommended Citation
J. Fitzhugh and D. Farnsworth, "The Behavior of Normality when Iteratively Finding the Normal to a Line in an lp Geometry," Advances in Pure Mathematics, Vol. 3 No. 8, 2013, pp. 647-652. doi: 10.4236/apm.2013.38086.
Campus
RIT – Main Campus
