The Dozenal Society of America

The Society is a voluntary nonprofit educational corporation, organized for the conduct of research and education of the public in the use of base twelve in calculations, mathematics, weights and measures, and other branches of pure and applied science.

Duodecimal Bulletin:

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Dozenal and General Mathematics

Here you’ll find various articles exploring general mathematics as it relates to duodecimal notation, as well as dozenal mathematical articles. An example of the former includes number theory as it relates to fractional expansions across the bases, or the subject of positional notation, which applies to any number base. An example of the latter is any mathematical essay using dozenal instead of decimal as the number base.

Simply click the thumbnail (the icon) on the left to download the full article in PDF form. Click the Newhall number for articles extracted from the Duodecimal Bulletin or other dozenal publications to download the entire archived original issue. Example: Prof. Jay Schiffman’s “Dozenal Home Primes”, which begins in Vol. 4E; No. 2 at p. 11; has a Newhall number of db4E211.

Visit the Duodecimal Bulletin Digital Archive

db4b211

“Dozenal Home Primes”
by Prof. Jay Schiffman, 2011, db4E211.
Prof. Schiffman uses duodecimal to produce a set of data for each positive integer less than one gross generated by taking the digits of the integer and multiplying these together.

db4b109

“On Maximal Repeating Sequence of Decimal Expansions
in Base-Twelve” by T. J. Gaffney, 2010, db4E109.
Mr. Gaffney examines the “worst case scenarios” of dozenal repeating fractional expansions, especially that associated with the sevenths.

db31315

“Fundamental Operations in the Duodecimal System”
by Prof. Jay Schiffman, 1982, db31315 & db32204.
A highly recommended, thorough explanation of the four basic operations (addition, multiplication, division, and subtraction) in base twelve. Prof. Schiffman rigorously walks us through how one computes in dozenal, using decimal as an analogy to the dozenal processes.

db27309

“A Dozen Properties of the Number Twelve”
by Prof. Jay Schiffman, 1982, db27309.
Prof. Schiffman examines some number theoretical properties of the dozen.

Visit the Duodecimal Bulletin Digital Archive. Revisit this page from time to time to read new or remastered articles on general and dozenal mathematics.

This page revised Wednesday 30 November 2011.