Welcome to the Dozenal Society of America’s electronic brochure database. How do we do base twelve (duodecimal) math? We’ve got plenty of articles, from how to design your own base twelve numerals, who started the DSA, and advanced articles about dozenal number theory. Note that this part of the site, along with the Duodecimal Bulletin Digital Archive, grow continuously, so visit often, and subscribe to our various feeds to be notified of updates.
Prof. Jay Schiffman
The four basic functions, as applied
in dozenal arithmetic.
1192
Prof. Gene Zirkel
Basics of base-twelve (dozenal) counting
11X3
Prof. Gene Zirkel
The history of the DSA, in brief.
11E4
Prof. James Malone
Basic introduction to dozenal counting, by means of eggs.
1191
Prof. Gene Zirkel
Rules for converting dozenal to decimal, integers and fractions, by hand.
11E1
Michael deVlieger
Dozenal addition and multiplication tables.
11E4
Michael deVlieger
Pictures and graphs illustrating dozenal's unique fractional properties.
11E7
Dozenal Society of America
Basic introduction to dozenal mathematics; Churchman's metric system; tables.
1174
Michael deVlieger
Multiplication tables in bases (dozenal) 2-26, 28, 30, 34, and 50.
11EX
Michael deVlieger
A poster-sized synopsis of proposals for dozenal symbologies.
11E7
Prof. Gene Zirkel
The do-mo-gro system of dozenal nomenclature.
11E7
Michael deVlieger
A debate on symbols from the DozensOnline forum.
11E6
Michael deVlieger
Methods for divising numerals for non-decimal bases.
11E6
Donald P. Goodman III
A brief description of the LaTeX package "dozenal."
11E6
Michael deVlieger
Summarizes many dozenal and hexadecimal numeral systems.
11E6
Michael deVlieger
Summary of least-change dozenal symbologies.
11E6
Michael deVlieger
Introduction to DB Symbology issue, Vol. 4X Iss. 2.
11E6
Ralph Beard
Article originally distinguishing "least change' and "separate identity" symbologies.
1161
Dr. Owen B. Clayton
A proposed dozenal nomenclature.
11E5
Dozenal Society of America
Discusses the return of the DSA to Dwiggins numerals, away from Bell.
11E4
Prof. Gene Zirkel
Explains the temporary adoption of Bell numerals by the Duodecimal Bulletin.
1192
Prof. Jay Schiffman
An explanation of dozenal home primes.
11E7
T. J. Gaffney
Exploring dozenal repeating fractions, especially sevenths.
11E6
Dozenal Society of America
Prof. Schiffman examines some number theoretical properties of the dozen.
1192
Dr. John Impagliazzo
Some different musical scales and their dozenal bases.
119X
Ralph Beard
Why our civilization should change to dozenal.
1164
A. C. Aitken
Why dozenal is superior to decimal.
1179
F. Emerson Andrews
Why dozens are a better base than decimal.
1152
F. Emerson Andrews
How Andrews fell in love with dozenal.
1184
Prof. Gene Zirkel
Some reflections on the Dozenal Society of Great Britain.
11E5
Dozenal Society of America
The current Constitution and bylaws of the DSA.
1197
Michael deVlieger
A comprehensive explanation of the benefits of the dozenal base.
11E7
Christopher J. Osburn
11E5
Michael deVlieger
Comparing the traits of various bases' multiplication tables.
11E7
Ralph Beard
Ralph Beard makes the case for dozenalism in Esperanto.
1171
Dozenal Society of America
Tests for proficiency in the dozenal system.
Tom Pendlebury / Donald P. Goodman III
Description of the TGM complete dozenal system of weights and measures.
11E8
Troy
Dozenal's advantages in packaging
1193
Thomas Leech, F.C.S.
Defense of dozenal notation for arithmetic, weights, measures, and money.
10E6
Treisaran
Dozenal divisibility tests
11E9
Rev. Thomas J. A. Freeman, S.J.
An early plea for the adoption of the dozenal base.
1119
Donald P. Goodman III
A simple rhyme teaching counting and the basic characteristics of number one to a dozen.
11E9
Timothy Travis
Travis' RAENBO system of dozenals.
11E9
John William Nystrom
A defense of dozenal arithmetic and measurement, along with proposed symbols, nomenclature, and metrics.
1103
Pierre-Simon Laplace
La systeme de la douzaine (la systeme duodecimale) en bref.
109X
Georges-Louise Leclerc, Comte de Buffon
Une morceau de Georges-Louis Leclerc, Comte de Buffon, d'avantage de la douzaine dans arithmetique.
1041
John Playfair
An early English defense of the dozenal system.
1067
John Kodegadulo
Systematic Dozenal Nomenclature
11EX
William B. Smith
A brief, turn-of-the-century defense of the dozenal base.
1117
Sidney A. Reeve
A defense of the dozenal system from the perspective of a mechanical engineer.
1127
Dr. Edward Brooks
A turn-of-the-century account of dozenal arithmetic and notation.
1104
D. Vicente Pujals de la Bastida
La superioridad de la doce como un base de la numeracion.
1098
D. Vicente Pujals de la Bastida
Cuya base debe elegir?
1098
Ioannis Caramuelis (Juan Caramuel y Lobkowitz)
Very early exposition of dozenal.
E48
Donald Hammond ("Troy")
The role of ratios in weights and measures.
11X0
L. H. Vincent
A simple, mostly verbal argument for dozenal.
1131
Sir Isaac Pitman
Collected works of Sir Isaac Pitman on the dozenal base.
10X8
Donald Hammond ("Troy")
Numbers considered through polygons.
1196
Grover Cleveland Perry
A stridently patriotic argument in favor
of dozenals from an interwar Protestant American
viewpoint.
1149
Herbert Spencer
A critique of the metric system
(and the customary-imperial system) and a defense of
dozenals.
1122
A.-D. Gautier
Un explication de la système de
douzainisme, avec des nouveaux chiffres et un
système de mesure et d'argent.
10E0
Dozenal Society of America
A short but thorough
introduction to dozenals for those really interested in
learning and using them.
1200
Dozenal Society of America
A brief explanation of the
dozenal system designed for beginners, in only a dozen
pages.
1200
John Wilkes, Ed.
An exploration of dozenal
arithmetic and its advantages.
1078
Prof. Jay Schiffman
A scholarly, if brief, exploration of
the major properties of the integers between 1 and
100.
11X3
Naomi Wray
Ms. Wray gives an excellent
examination of the decimal base and its suitability
for modern mathematics.
1202
Brennus Legranus
An erudite and stimulating article
concerning the basis and nature of dozenal. In the
original Latin.
1203
Rufus P. Williams
A brief look at the "pure" ancient
duodecimal system of measures, primarily in the
relation between the foot, pint, and bushel.
1131
Donald Hammond ("Troy")
An exploration of triangles, Pythagrean
triples, and their unique relationship to dozens
119E