Finding Keys to the Peano Curve

Published at Acta Mathematica Hungarica on 07/05/2022

Abstract

The purpose of this paper is to give a fairly complete analysis of Peano’s space filling curve. We begin with a synopsis of the history of the curve, but then begin an analysis using the geometric methods that Hilbert developed. We show that this inherent geometry can be viewed as governed by the action of the Klein Four Group and continue to give a rather full arithmetization of the Peano Curve.

Authors

Dr. Paul D. Humke, Khang V. Huynh

Publication Information

Presentation

22nd Anual Mathematics on the Northern Plains