Duodecimal Bulletin Vol
Total Page:16
File Type:pdf, Size:1020Kb
9; B Whole Number A1; GROSS! Vol. 51; № 1; Year 11 100; ISSN 0046-0826 page 9 The Nomenclature Issue: Nomenclature The Notation Dozenal Systematic The Duodecimal Bulletin ■ Volume 51; (61.) ■ Number 1; ■ Whole Number a1; (121.) The Dozenal Society of America 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 Basic Membership is free, Supporting Membership dues are $12 (USD) for one calendar year. You can always donate using PayPal at www.dozenal.org/drupal/content/donate. TheDuodecimal Bulletin is an official publication of The DOZENAL Society of America, Inc. 5106 Hampton Avenue, Suite 205 Saint Louis, mo 63109-3115 Officers Board Chair Jay Schiffman President Don Goodman iii Vice President Graham Steele Secretary Jen Seron Treasurer Jay Schiffman Editorial Office Michael T. De Vlieger, Editor 5106 Hampton Avenue, Suite 205 Saint Louis, MO 63109-3115 (314) 351-7456 [email protected] Nominating Committee Gene Zirkel, Chair Board of Directors Class of 11b9; (2013.) Dr. John Impagliazzo, long island, ny Gene Zirkel, boynton beach, fl John Earnest, baldwin, ny Graham Steele, framingham, ma Class of 11ba; (2014.) Michael De Vlieger, st. louis, mo Jen Seron, new york city, ny Brian Ditter, middletown, ct Don Goodman iii, martinsville, va Official Website: Class of 11bb; (2015.) www.Dozenal.org Prof. Jay Schiffman, Philadelphia, pa Email us at: Dan Simon, new york city, ny [email protected] Timothy Travis, fayetteville, nc Dr. Patricia Zirkel, boynton beach, fl The Dozenal Society of Great Britain: www.Dozenalsociety.org.uk TheDuodecimal Bulletin Volume Five Dozen, Number Two copyright ©2013 the Dozenal Society of America 1; one The Duodecimal Bulletin Volume five dozen one (61.) ◆ № 1 ◆ Whole Number ten dozen one (121.) ••Contents•• The page numbers appear in the format Volume·Number·Page President’s Message 51·1·03 Welcome, Newscast! 51·1·03 The Nomenclature Issue 51·1·04 Dozenal in Plain English ∙ Michael De Vlieger 51·1·05 Closing Time 51·1·07 Expanded DSA Website ∙ D. Goodman iii 51·1·08 Systematic Dozenal Nomenclature · Feature · J. Kodegadulo 51·1·09 The 12/12/12 Effect ∙ Editorial 51·1·17 Minutes of the 11b8; (2012;) Annual and Board Meetings 51·1·19 Minutes of the 11b9; (2013;) Annual and Board Meetings 51·1·21 Speech: Dozenal Integer Sequences · J. Schiffman 51·1·23 Speech: Systematic Dozenal Nomenclature · D. Goodman iii 51·1·24 Workshop: American Society of Engineering Educators 51·1·25 The Practical Dozenalist 51·1·22 Problem Corner ∙ Prof. Gene Zirkel 51·1·26 The Lamadrid Base Name System ∙ Michael De Vlieger 51·1·27 Mathematics and Computer Education (advertisement) 51·1·29 Mailbag 51·1·2a Join the DSA Today! 51·1·2b • • Welcome New Members! • • The Dozenal Society of America welcomes the following New Members! Subscribers’ Member numbers appear in red, with names in bold. Thank you and welcome! 3a9; Jose A. Reyes, 3aa; Catherine L. Goodman, 3ab; Kevin P. Gardner, 3b0; John D. Hansen, 3b1; Christopher C. Eldridge, 3b2; Ben Moran, 3b3; Derik J. Kauffman, 3b4; Avraham Gindi, 3b5; Daniel J. Turner, 3b6; Joshua C. Greene, 3b7; Robert W. Maxfield, 3b8; Chiara L. M. Watson, 3b9; Vincenzo E. Sicurella, 3ba; Adam C. Fueh- rer, 3bb; Wendy Y. Krieger, 400; Don Miller, 401; Anastasiya V. James, 402; Chris Edwards, 403; Daniel I. Beard, 404; Americans for Customary Weight & Measure, 405; Nick Reymann, 406; Charles Exner, 407; Blake VanWinkle, 408; Mark Thomas, 409; Christian Poerksen, 40a; Pankaj Godbole, 40b; Ryan Gourley, 410; Bryce K. Crawford, 411; Imre Ipolyi, 412; Robert Hovden, 413; Dehim Verveen, 414; Michael A. Gyurgyak. Volume 51; Number 1; Whole Number a1; two 2; president’s • message During this five dozen ninth year of the Dozenal Society of America, I, having re- cently taken up its Presidency, have had the opportunity to reflect on our history and our current mission. Stepping into the shoes of the likes of Andrews, Beard, Zirkel, and my many other predecessors can hardly prompt me otherwise. For nearly six dozen years the DSA has persevered in promoting base twelve count- ing, arithmetic, and metrology, despite every prediction that it would inevitably fail, struck down by the merciless march of decimalized progress. Indeed, more than merely persevering, we have prospered, grown, and deepened our exploration of the boundless depths of the dozen. The members of the DSA are rightly proud of what the Society has done throughout its storied past. The rise of the Information Age over the last two dozen years has presented new dif- ficulties, and as we approach the year1200; (2016.), those difficulties will only increase. We were late coming into the digital age, and have been slow to embrace it even then. But we have begun to meet these challenges, too; and in the coming years, we will make this new age our own. But we must not mistake the rush of technological progress for the invalidation of past hopes and success. On the contrary, I see my job as your president as preserving the accomplishments of the past while enabling those of the future; and hopefully, we in the present may yet eke out a few accomplishments of our own. So please, give your input and your efforts to the DSA; they have never been wasted in the past, and I will do everything I can to ensure that they will not be wasted in the future. ••• The first issue of theDSA Newscast was sent electronically to its Members in mid March 11b9;. The name is a nod to the publication of our British brethren at the Dozenal Society of Great Britain, who published their flagship journal The Duodecimal Newscast from 1173; to 117a; (1959–1966.), before they began publishing a more formal journal. Our purpose is similarly simple: to provide a more regular and more down-to-earth publication for the world of dozenals than is currently available. The Newscast isnot in- tended as a substitute or replacement for the Duodecimal Bulletin; the purposes of the two publications are quite different. As explained in our namesake’s first issue by Brian Bishop: “Until we can start a regular magazine I shall keep members informed of activities in the world of duodecimals by means of such circular letters as this. I should also like members to use it to air their views.” This little electronic newsletter is for minor things, things too small or brief or incon- sequential for the Bulletin; or, conversely, things too time-sensitive or urgent to wait for the next Bulletin. It’s perfectly suited for announcing dozenal-related meetings, speech- es, discussions, curiosities, or any item of interest you, the Member, desire to share with other dozenalists. ••• 3; three The Duodecimal Bulletin qwwwwwwwwwwwwwe U The Nomenclature Issue u QWWWWWWWWWWWWWE This issue of theDuodecimal Bulletin focuses on the words we use to name duodeci- mal numbers. This is not a comprehensive survey of all the nomenclature proposals as the symbology issues were. Instead, we look at a conservative system that might help us explain how dozenal math works to Joe Sixpack, and a comprehensive new system that helps dodekaphiles name every number they can think of. The third article in the suite takes a look at systematizing the names of bases. I hope you enjoy this Nomenclature issue of the Duodecimal Bulletin! —Þe Editor G j j j j j j H M. De Vlieger 2012 M. De Vlieger NYC: Second St. Subway sign What we call our numbers really has an effect on how we use them. It is an important question. M. De Vlieger 2011 M. De Vlieger First St. sign, Hermann, mo • • Symbology & Nomenclature • • The DSA does NOT endorse any particular symbols for the digits ten and eleven. For uniformity in publications we use Dwiggins dek (A) for ten and his el (B) for eleven. Whatever symbols are used, the numbers commonly called “ten”, “eleven” and “twelve” are pronounced “dek”, “el” and “dough” in the duodecimal system. When it is not clear from the context whether a numeral is decimal or dozenal, we use a period as a unit point for base ten and a semicolon, or Humphrey point, as a unit point for base twelve. Thus ½ = 0;6 = 0.5, 2⅔ = 2;8 = 2.66666..., 6⅜ = 6;46 = 6.375 ••• Volume 51; Number 1; Whole Number a1; four 4; Dozens in Plain English by Michael De Vlieger The wonderful thing about the English language is its ability to pick up foreign words or invent neologisms, and have these flow into diction rather organically. New words like “selfie,” “wifi,” and borrowed ones like “barista”, “avatar” eventually course through our conversations and meld into our language. What enables that is broad public appli- cation or common usage in a subculture that manages to enter popular culture. We dozenalists don’t yet enjoy mainstream status, even if we did, we don’t have a standard system of dozenal nomenclature in place that could wend its way into common parlance. There are proposals that some use and some don’t. Fortunately, the English language comes equipped with simple duodecimal nomenclature. Decimal positional notation. Before we delve into how we might use “plain English” to denote duodecimal num- bers, let’s review how we describe decimal numbers in English. Aside from the names of numerals, both cardinal (one, two, etc.) and ordinal (first, second, etc.), we have names of ranks or positions. In decimal positional notation, looking at Table 1 and proceeding from right to left, we have units, tens, hundreds, thousands, etc.