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THE DSA NEWSCAST
http://www.dozenal.org
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The Dozenal Society of America Vol. 1, Iss. 7
Official Newsletter 1 September 11E9
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= CONTENTS =
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1. Donations
2. Article: Using SDN
3. Dozenal News
-TGM book for sale in hard copy
-"An Open Letter to Supporters of a Dozenal System"
-"Pourquoi pas douze ?"
-Dozenal Clock for Chrome
-Nystrom's "Duodenal System of Arithmetic"
-Leibniz on Dozenal
-Laplace on Dozenal
4. Society Business
-Bulletin Publication
-Potential Presentation at NCTM
5. Poetical Diversion
6. Dozenal Thoght of the Month
7. Backmatter
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= DONATIONS =
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Members, please remember that while dues are no longer
required for membership, we still rely on the generosity of
members to keep the DSA going. Donations of any amount,
large or small, are welcome and needed.
A donation of $10; ($12.) will procure Subscription
membership, and entitles the payer to receive both a digital
and a paper copy of the _Bulletin_ if requested. Other
members will receive only a digital copy. To invoke this
privilege, please notify the Editor of the Bulletin, Mike
deVlieger, at
mdevlieger@dozenal.org
As members know, we are a volunteer organization which pays
no salaries. As such, every penny you donate goes toward
furthering the DSA's goals.
It may be worth considering a monthly donation; say, $3, or
$6, or whatever seems reasonable to you. This can be set up
quite easily with Paypal.
Of course, if you prefer to donate by check, you may send
them to our worthy Treasurer, Jay Schiffman, payable to the
Dozenal Society of America, at:
Jay Schiffman
604-36 South Washington Square, #815
Philadelphia, PA 19106-4115
----------------------Member Benefits-----------------------
Chief among the benefits of membership, aside from the
knowledge of supporting the DSA's mission, is receipt of
_The Duodecimal Bulletin_. In addition, however, members
also receive (digitally) a membership card containing their
vital member information and a monthly calendar with
dozenal numbers, containing suitable and educational dozenal
quotations and graphics, laid out for wall display.
To receive these, please notify us that you'd like to
receive them:
Contact@dozenal.org
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= USING SDN =
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We saw, in Issue 01:06, the basics of Systematic Dozenal
Nomenclature (SDN). To recap very briefly, here is the chart
of SDN words:
Num. Part. Pos. Power Neg. Power
----- ------ ----------- ------------
0 Nil Nilqua Nilcia
1 Un Unqua Uncia
2 Bi Biqua Bicia
3 Tri Triqua Tricia
4 Quad Quadqua Quadcia
5 Pent Pentqua Pentcia
6 Hex Hexqua Hexcia
7 Sept Septqua Septcia
8 Oct Octqua Octcia
9 Enn Ennqua Enncia
X Dec Decqua Deccia
E Lev Levqua Levcia
We also saw that the simplest way to use SDN is to name the
highest power in the number, and then to list the digits in
order. For example, the current year is 11E9; in SDN, we
could pronounce this as:
11E9 = "one triqua one elv nine"
Of course, rather than "elv," one could use "el," "eleven,"
or any other word for ten plus one.
A common abbreviaton, when dealing with two-digit numbers,
is to drop the "un" part of "unqua"; so "24" is "twoqua
four," "XE" is "tenqua elv." Numbers of this length are used
so very often that this abbreviation can be extremely
helpful.
With fractional parts, the system is still very simple. Many
dozenalists use the word "dit" to refer to the fractional
spot, similarly to the way we say "point" in decimal. As an
example, let's take a number we're unlikely to actually use:
the cube of pi (3;18480949 ^ 3).
27;00XX1X09 = "two (un)qua seven dit zero zero ten ten
one ten zero nine"
When we need to refer to a fractional number by itself, we
have some options. Sometimes, as in decimal, we'll simply
list the digits:
0;005 = "zero dit zero zero five"
Other times, we may want to state the order of magnitude
explicitly:
0;005 = "five tricia"
0;00000045 = "four dit five septcia"
0;00000045 = "four (un)qua five octcia"
Whatever seems clearer in a given situation should be used.
As noted last time, you can expect a full exposition of SDN
in an upcoming _Bulletin_; until then, you can learn more at
the DozensOnline forum, and at
http://gorpub.freeshell.org/dozenal/blosxom.cgi/dozapp.html#sdn
In our next issue, we'll see how SDN can be used to
form linguistic words; e.g., the names of polygons, of
anniversaries, and so forth.
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= DOZENAL NEWS =
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---------------TGM Book for Sale in Hard Copy---------------
Around 26 years ago, Tom Pendlebury of the DSGB devised the
TGM system of metrology. This complete, coherent, and
consistently dozenal metric system has remained well known
and popular in both the DSGB and the DSA.
Now, for the first time since Pendlebury's original booklet,
a complete exposition of the TGM system is available in
print. A printed edition of the book already available at
the DSA website, this volume is a must for the dozenal
library.
http://www.lulu.com/shop/donald-goodman/tgm-a-coherent-dozenal-metrology/paperback/product-21095233.html
Priced extremely low at only $8, all profits are donated
directly back to the DSA.
------An Open Letter to Supporters of a Dozenal System------
An anonymous author on the Internet had published a brief
article on his ideas for new dozenal characters, along with
linking to a Youtube video by Numberphile explaining (and
arguably supporting) the dozenal system:
http://gfax.ch/dozenal
He ends up with essentially the Hammond symbol for ten and
an inverted seven for eleven. Also contains an animated gif
showing the seven-segment versions of his characters along
with 0-9, progressively counting up to eleven and starting
over. Very neat.
-------------------Pourquoi pas douze ?---------------------
For those of our membership who can read French, I happened
upon an interesting little article from the University of
Grenoble on the French Commission on Weights and Measures
and its decision to decimalize weights and measures rather
than to dozenalize counting:
http://ljk.imag.fr/membres/Bernard.Ycart/mel/ax/node18.html
Providing some quotations from the actual report of the
Commission, this confirms what has often been reported but
rarely quoted in English-language dozenal publications:
that the Commission very seriously considered adopting
the dozenal base, and that some members or those close
them, notably Pierre-Simon de Laplace, later regretted the
decision they made.
The article can't really be called dozenalist (he refers to
the decision made by the Commission by saying "[c]ette
décision de bon sens"), but he notes that "les partisants
de la base 12 et du changement radical étant nombreux et
passionés" (the supporters of base twelve were numerous and
passionate) and that there was "débats houleux" (rousing
debate) about the issue.
The last line is poetic, and references our Society: "Si le
coeur vous en dit, n'hésitez pas à reprendre le flambeau,
vous ne serez pas seuls"; "If the heart speaks these things
to you, do not hesitate to take up the torch, you will not
be alone," followed by a link to www.dozenal.org.
--------------Dozenal Clock for Chrome Browser--------------
If you're a user of the Chrome or Chromium web browser,
there is now a dozenal clock which you can easily access
from the browser.
http://t.co/KmPXUIqu2Z
Drag this into your Chrome extensions folder to install.
Essentially, this extension provides easy access to one
of Dr. Paul Rapoport (#230)'s dozenal clocks, which we
discussed in a previous issue. This version provides a clock
for a 20-hour day (like our current clock), and uses the
Pitman numerals (a rotated 2 and 3) for ten and eleven.
For users of Chrome or Chromium, a worthwhile extension.
Thanks to Derik Kauffman (#3E3) for writing this extension
and making us aware of it.
---------------Duodenal System of Arithmetic----------------
John Nystrom, a famous Swedish-American engineer (1081 --
1111), is mostly known in mathematical circles for his Tonal
System, an unquadral (SDN; in decimal-speak, "hexadecimal")
system of numeration and measurement. However, later in
life, Nystrom published as an appendix to an engineering
textbook his "Duodenal System of Arithmetic," which supports
as superior the dozenal system.
Other than his unfortunate choice of name in selecting
"Duodenal," Nystrom presents a considered and interesting
argument in favor of dozenalism. The DSA is happy to be able
to offer a newly typeset version of this appendix:
http://www.dozenal.org/drupal/content/duodenal-system-arithmetic-measures-weights-and-coins
---------------------Leibniz on Dozenal---------------------
Gottfried Leibniz, the famed inventor of calculus (he
appears to have done this independently of Newton) and great
enthusiast of binary arithmetic, actually made a statement
about dozenal! Little cited even in dozenal literature,
Leibniz had the following to say, when discussing his binary
system:
"I am not in any way recommending this [binary] way
of counting in order to introduce it in place of
the ordinary practice of counting by ten. For,
aside from the fact that we are accustomed to
this,...[t]he practice of counting by ten is shorter
and the numbers not as long. And if we were
accustomed to proceed by twelves or sixteens, there
would be even more of an advantage."
_Explanation of Binary Arithmetic_, found on the creatively
(!) named www.leibniz-translations.com. And this statement
in support of using base twelve came as early as E9E (1703)!
This has been the earliest explicit endorsement of dozenal,
even though it is quite off-hand in this text, of which your
author has ever been made aware. Coming from a mathematician
of this calibre, even sideways praise of dozenal is quite
remarkable.
---------------------Laplace on Dozenal---------------------
We are proud to announce our first foreign-language resource
(other than Esperanto): an excerpt from famous French
mathematician Pierre-Simon Laplace on the dozenal system.
http://www.dozenal.org/drupal/content/laplace-sur-douzainisme
While Laplace admits dozenal to be superior to decimal, he
believes that it is practically unachievable. Here's to
believing that he's right about the former, and wrong about
the latter.
This article is in French; however, Laplace's actual text is
presented in English, as well.
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= SOCIETY BUSINESS =
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--------------------Bulletin Publication--------------------
To recap last month's announcement, the _Bulletin_ will be
published on the following schedule:
Sep 16: _The Duodecimal Bulletin_ WN X0, for 11E7 (2011.)
Dec 10: _The Duodecimal Bulletin_ WN X1, for 11E8 (2012.)
Mar 01: _The Duodecimal Bulletin_ WN X2, for 11E9 (2013.)
This will have us caught up to the current year, and future
issues published in 11EX (after WN X2) will be for that year
(11EX, or 2014.).
---------------Potential Presentation at NCTM---------------
At our annual meeting, due to the successful ASEE
presentation discussed in our last issue, the DSA suggested
research into a similar practice next year. That is, we
wished to investigate the possibilities of setting our
annual meeting close in time to some mathematical conference
and submit a presentation on dozenals and alternative bases
to that conference.
This year, we are considering setting the meeting to
coincide with the National Conference of Teachers of
Mathematics. There are two regional conferences of the NCTM
next year, in October and November, in Indianapolis, IN and
Richmond, VA.
We are in need of people to help with such a presentation.
If you are interested in doing so in any capacity, plese
write us at:
Contact@dozenal.org
This could be great publicity for dozenal and the Society,
so please, write if you're able to help.
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= POETICAL DIVERSION =
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In the following verse, the word "tel" is the author's word
for twelve.
"Let us then be up and doing;"
Rouse ye now, ye valiant men,
The light of science still pursuing,
Thunder o'er the ranks of TEN.
Onward to the conflict press ye,
Bearing high the flag of TEL;
And may coming ages bless ye,
Proclaiming that ye have done well.
Rev. Thomas J. A. Freeman, Systems of Numeration: A Plea for
the Duodecimal (1119).
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= BACKMATTER =
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