2 papers
math.NT2011
Dismal Arithmetic
David Applegate, Marc LeBrun, N. J. A. Sloane
Dismal arithmetic is just like the arithmetic you learned in school, only simpler: there are no carries, when you add digits you just take the largest, and when you multiply digits…
math.NT2006
Descending Dungeons and Iterated Base-Changing
David Applegate, Marc LeBrun, N. J. A. Sloane
For real numbers a, b> 1, let as a_b denote the result of interpreting a in base b instead of base 10. We define ``dungeons'' (as opposed to ``towers'') to be numbers of the form a…