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design decisions

We are nearly done, I hope. One can keep on tweaking
parameters endlessly, so at regular intervals we grab our chief graphics designer and tell him :
decision time! which of the two is best? At the moment, we decided on
our own chapter-style \chapterstyle{neb} which is an
adaptation of the _demo-style_ in
memoir.cls
(see on the left). We also have our own page-style which
is an adaptation of the _companion-style_ (the house-style of the
LaTeX Companion series).

You
will notice that the page-format is a bit odd. As mentioned before, we
didn’t want to copy the _regular_ mathematics-book -look.
We went for a fun format (square, 7.5 by 7.5 inch ; think of an inflated
CD-box) as well as a handy one (so we will go for _spiral-bound_
books). The reason for this is that we noticed that the most consulted
copy of version 2 around at the department is
Stijn’s which has a nice coil binding so you can always lay it
nicely flat on a desk, whether you just want to look something up, or
use it to explain something at the blackboard.

Perhaps you can
even see that the font is slightly smaller than the _regular
10pt_. Memoir allows for a _9pt font_ and this looks _so
much_ better. Besides, it helps to keep the number of pages
reasonable, and related to this : keep the production costs low. At the
moment the plan is to be able to sell a book of say 260 pages under 13
Euros (that is, 5 EuroCent/page), but more on this next week.

What else? Well, recently, we decided on the
_copyright_-license (at least for the first book). Clearly, all
neverending-books will have their own ISBN-number
and the copyright is one of the
Creative Common
Licenses. At first we thought of taking the same one that protects
(however, see mewt’s story
) this site and which is, in technical terms, a by-nc-nd:be
license
. But, in the end, we decided to go for a Developing Nations
License
. Here\โ€šร„รถโˆšร‘โˆšยฅs why :

The Developing
Nations license allows, for the first time, any copyright holder in the
world to participate first-hand in reforming global information policy.
The fact is that most of the world’s population is simply priced
out of developed nations’ publishing output. To authors, that
means an untapped readership. To economists, it means “deadweight
loss.” To human rights advocates and educators, it is a tragedy.
The Developing Nations license is designed to address all three
concerns.

So, what else needs to be done by next
week when we hope to launch our first book? Well, I need to write some
_blurb_ and we have to decide on front- and back-covers.
Tomorrow, I hope to report on how that one ended.

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sudoku mania


I never pay
much attention to the crossword-puzzle page of our regular newspaper DeMorgen. I did notice that they
started a new sort of puzzle a few weeks ago but figured it had to be
some bingo-like stupidity. It wasn’t until last friday that I had a
look at the simple set of rules and I was immediately addicted (as I am
mostly when the rules are simple enough!). One is given a 9×9 grid
filled with numbers from 1 to 9. You have to fill in the full grid
making sure that each number appears just once on each _horizontal
line_, on each _vertical line_ and in each
of the indicated 3×3 subgrids!

It is amazing how quickly one learns
the basic tricks to solve such _sudoku_s. At first, one plays by
the horizontal-vertical rule trying to find forbidden positions for
certain numbers but rapidly one fails to make more progress. Then, it
takes a while before you realize that the empty squares on a given line
in a 3×3 subgrid cannot be filled with any of the numbers already
present in the 3×3 subgrid. Easy enough, but it takes your
sudoku-experience to the next level. Anther simple trick I found useful
it to keep track how many times (from 0 to 9) you have already filled
out a given number. If it is 9, you may as well forget about this number
for elimination purposes and if it is 0 it will be hard to use it.
Optimal numbers to use are those that are already 4 to 6 times on the
board. And so on, and so on.

After having traced all back-copies
of the newspaper I ran out of sudokus but fortunately there is a
neverending (sic!) supply of them on the web. For example, try out the
archive of Daily
Sudoku
, and there are plenty of similar sites as, no doubt, you’ll
find by Googling.

An intruiging fact I learned from my newspaper
is that there are exactly 6,670,903,752,021,072,936,960 different
filled-out Sudoku grids. You then think : this should be easy enough to
prove using some simple combi- and factorials until you give this number
to Mathematica to factor it and find that it is

$2^{20} \\times
3^{8} \\times 5 \\times 7 \\times 27704267971$

and hence has a
pretty big unexplained prime factor! This fact needed clarification, so
a little bit later I found this Sodoku
players forum page
and shortly afterwards an excellent (really
excellent) Wikipedia on
Sudoku
. There is enough material on that page to keep you interested
for a while (e.g. the fact that nxn sudoku is NP-complete).

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neverending.sty

You don’t
know how lucky you are to be able to begin a LaTeX-document with
something like \documentclass[a4]{amsart}. This simple line
tells the machine what the size of paper is it has to print to, which
part of that paper has to be filled with text, what the design of
titles, sections etc. is (and probably more). Just convince yourself
(for the sake of argument) that you want to produce a readable
mathematical book on paper of dimensions say 6 by 9 inch. How would you
do this? Simple : all you have to do is to adjust certain TeX-parameters
the way you want! Well, that’s exactly what the _neverendingbooks
design department_ has been doing for the last couple of weeks!

The package we would use was easy enough to find. A long time ago, Geert suggested that we
should use the
memoir package
. The fun starts the moment you are foolish enough to
print the manual : 300 pages! After an inspiring account of
book-printing basics over the ages, you are told that you have total
freedom to set your _stock paper size_, how it needs to be
_trimmed_ to get the final result, how you should designs
everything from the title, over abstract, acknowledgement, thanks, table
of contents contents, dedications etc. down to chapter, section and page
styles. In short : ULTIMATE FREEDOM!!!

But, as some of you may
know from experience, there is nothing more frightening to the moderate
autist (and frankly, are there any other mathematicians?) than ultimate
freedom! So, we set up a task-force, had daily brain-storm sessions,
produced numerous trial-prints and eventually came out with something
that came very close to the _better designed book_. Let’s face it
: can you name me _one_ (yeah right, just 1) well-designed
mathematical book? If you don’t believe me, browse through the recent
mathematics-books on amazon (as our design-department
did for a whole week-end, deprived of beverages and other pleasures).
Found anything? Yes?? Please, please let us know! On the other hand, if
you browse through the Art, architecture and
photography section
you will spot several extremely good-looking
books very soon. Well, after a week we succeeded in designing the
_arty-farty-fanshi-wanshi_ (as PD1 would name it, jealous that
she was not in on the fun) mathematical book! And, what did we do with
the labours of all this hard work? NOTHING! We simply dropped the whole
idea (if you are a graphics-designer trying to survive within a
mathematics publishing firm (not easy we know, you have all our
sympathy) and want to do something more fun, contact us and if we can
reach an adequate financial agreement we will be happy to send you our
ideas).

So, what went wrong? Nothing really, it just dawned on
us that _NeverEndingBooks.org_ should not go for the
better-designed mathematics book. All our (potential) authors can
publish as easily at Oxford University
Press
, the European Mathematical
Society
or, if they have no moral objection, at the AMS. So, why
would they choose us instead of these more established publishing
houses? Just because our books look slightly (well let’s face it : a
lot) better? Probably not. We, at neverendingbooks.org should not go for
the better-designed book, we should not go for the book concept at all,
we should invent something entirely NEW & SEXY & USABLE & DESIRING & (I
hope you get the drift!). Next time, I’ll let you in on the first ideas
of our design-department!

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