Document Type
Article
Source Publication Title
American Mathematical Monthly
First Page
426
Last Page
435
Abstract
We consider an elementary mathematical puzzle known as a "difference box" in terms of a discrete map from R⁴ to R⁴ or , canonically, from a subset of the first R² into itself. We identify the map's unique canonical fixed point and answer more generally the question of how many interactions a given "difference box" takes to reach zero. (The number is finite except for boxes corresponding to the fixed point.)
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-2005
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Kribs, Christopher; Behn, Antonio; and Ponomarenko, Vadim, "The convergence of difference boxes" (2005). Mathematics Faculty Publications. 18.
https://mavmatrix.uta.edu/math_facpubs/18