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THE DSA NEWSCAST
http://www.dozenal.org
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The Dozenal Society of America Vol. 2, Iss. 5
Official Newsletter 1 May 11EX
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= CONTENTS =
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1. Donations
2. For Sale
3. Living Dozens: Shapes
4. Dozenal News
5. Society Business
6. Poetical Diversion
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 or WePay, both of which are
available at our web site.
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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= FOR SALE =
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The DSA is pleased to offer the following for sale. These
are all either at cost, or the proceeds go to the Society.
Wall Calendar for 11EX (stapled binding) $11.60
Wall Calendar for 11EX, coiled binding $16.70
Weekly Planner for 11EX $11.29
TGM: A Coherent Dozenal Metrology $8.00
Prices are, unfortunately but by necessity, in decimal. To
find these works, simply go to:
http://www.lulu.com/shop/shop.ep
and enter the appropriate terms. E.g., searching for "11EX"
will turn up these calendars and the planner; searching for
"TGM dozenal" will turn up the TGM book.
We hope to offer other titles, and even some other items
(such as dozenal clocks and the like), in the near future.
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= LIVING DOZENS: SHAPES =
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Ten is such a divisor-poor number that it obscures the
relationship between shapes and numbers. However, with the
dozen, the most important simple polygons have a number of
sides which are factors of our base, which makes that
relationship more clear.
For example, we can take a triangle and bend each of its
three sides in the middle; this will give us six sides, a
hexagon, also a factor of twelve. Do the same thing with the
hexagon---bend each side in the middle---and you have a
dodecagon (in SDN, an unquagon or unniligon), which is of
course our base itself.
Take a square and bend each of its four sides in the middle
this will give eight sides, an octagon. While this is not
precisely a factor of twelve, it goes into twelve one and a
half times (that is, three eights are two twelves), so it's
still in a very simple relationship with the base.
The same sort of thing works in three dimensions, too,
though it's not so transparent. Consider instead some
simple facts. There are nine regular polyhedra, five
convex and four stellated: the tetrahedron (four faces),
the cube (six faces); the octahedron (eight faces); the
dodecahedron (twelve faces); the icosahedron (18; faces);
the small stellated dodecahedron (twelve faces); the
great dodecahedron (twelve faces); the great stellated
dodecahedron (twelve faces); and the great icosahedron
(twenty faces).
Notice how frequently our favorite number and its factors
appear here! For four of the nine regular polyhedra, the
number twelve is the defining characteristic of the shape.
Of the remaining five, the factors of twelve are two more,
so we have six of the nine (two thirds, 0;8) already.
Even considering the octahedron, icosahedron, and great
icosahedron, we don't lose much. The number eight, as
already noted, fits in quite well with dozenal (three eights
are two twelves); and twenty is just a dozen and eight.
So when you observe shapes, consider their relationship to
number. Look at number of sides, number of vertices,
frequeny of various shapes. I think you'll find that shapes
based on the dozen and its factors are much more frequent
than any others; and there is, no doubt, a reason for that.
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= DOZENAL NEWS =
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The DSA is pleased to announce the publication of another
historical dozenal work: "A Rational Solution to the Problem
of Weights and Measures" by Sidney A. Reeve of the American
Society of Mechanical Engineers:
http://www.dozenal.org/drupal/content/rational-solution-problem-weights-and-measures
Published originally in 1127 (1903.), this paper was
originally given as a talk at the New York meeting of that
society in September 1126. Explaining the dozenal system and
putting forth a semi-completed metric system based on the
yard, the paper is an interesting example of a brief but
sincere attempt to urge the adoption of dozenal by a major
organization.
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= SOCIETY BUSINESS =
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Last month we were excited to announce that the DSA's
program on alternative bases in education was accepted to
the mid-Atlantic regional conference of the National Council
of Teachers of Mathematics in Richmond, VA this November.
We recently received some more good news: the same
program was also accepted, independently, for the regional
conference in Indianapolis, IN in October!
Professor Jay Schiffman (#2X8) has graciously volunteered to
give this presentation in Indianapolis. This is a great coup
for dozens, and will get the Society some more great
publicity.
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= POETICAL DIVERSION =
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From Doz'nalism in Glory
Let great Arithmos come to me,
and join with me each jovial blade;
come drink and sing and lend your aid,
and help me with the chorus.
Instead of ten we'll use great twelve;
the depths of number we will delve;
the dec'mal base we'll surely shelve,
from doz'nalism is glory.
Two factors simply isn't enough,
and missing thirds is awfully tough;
such bases simply aren't up to snuff;
a dozen is something better.
Instead of ten we'll use great twelve;
the depths of number we will delve;
the dec'mal base we'll surely shelve,
from doz'nalism is glory.
For six, for four, for three, and for two,
I choose the dozen, and urge it to you;
no other number so greatly can do;
so help me with the chorus.
Instead of ten we'll use great twelve;
the depths of number we will delve;
the dec'mal base we'll surely shelve,
from doz'nalism is glory.
To the tune of "Garryowen."
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= BACKMATTER =
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