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Kershaw: Backgammon Funfair

From:   Tom Keith
Address:   tom@bkgm.com
Date:   9 July 2012
Subject:   Raymond Kershaw's book, Backgammon Funfair
Forum:   BGonline

At Novi I had a chance to buy a copy of Raymond Kershaw's new book,
Backgammon Funfair. (Peter Bennet announced the book on this forum a couple
of months ago.)

The book was a nice surprise. It's not a standard backgammon book. It's a
book of puzzles and mathematical oddities about backgammon. If you are
looking for a book to improve your backgammon play, this is not the book
for you (although Chapter 47, "Effective Pip Count," does contain the
warning: "This Chapter is in danger of being useful.").

Many of the curiosities have been written about before, but some of the
sources are so obscure that even though I think I'm pretty "aware" of
backgammon literature, a lot of them were new to me. Kershaw dug up these
unusual facts, organized them, illustrated them, explained them, improved
them, and expanded upon them. Then he added a few of his own discoveries.

Here are some of the amusing, if not useful, facts found in this book:

1. In bearing off, you would think it is always better to leave one checker
rather than two for your final roll. It turns out that's not always the
case.

2. Double sixes is not always your best roll when bearing off.

3. There are some positions that have exactly zero equity.

The book has all sorts of little tidbits. For example, did you know that
hitting four blots in four different quadrants with a single roll is called
"picking a four-leaf clover"? And I was surprised to learn that only 0.389%
of bearoff positions are gin (cubelessly) for one side or the other.

Ray obviously put a lot of work into this project. On the back cover it
says "for several decades he has been accumulating much of the material for
this book." You can get a sense of the range of material covered by
perusing the Table of Contents, which I have compiled here:
http://www.bkgm.com/books/Kershaw-BackgammonFunfair.html.

In a few cases, I wish there were more explanation about the motivation for
a puzzle. For example, Chapter 45 talks about "Count Down" but doesn't
explain what that is.

Although the book is a little on the expensive side ($35), it is nicely
bound, with good paper, and every page is in full color. It's a worthwhile
read for anyone that enjoys looking at backgammon from a mathematical and
logical perspective, and a unique offering in backgammon literature.

Timothy Chow  writes:

Tom wrote an excellent review here on BGOnline and I just wanted to add a
few comments. I bought Ray's book and enjoyed it thoroughly. It's a really
splendid collection of backgammon paradoxes and oddities, very attractively
printed and organized. There's nothing else like it. If you have enjoyed
some of the offbeat backgammon puzzles that appear on BGO from time to
time, such as finding the fewest number of rolls to return to the starting
position, finding the position with the lowest nonzero winning chances,
cataloging Jacoby paradox positions, and so forth, then this book is for
you.

Tom Keith wrote:
> In a few cases, I wish there were more explanation about the motivation
> for a puzzle. For example, Chapter 45 talks about "Count Down" but
> doesn't explain what that is.

This one took me a minute to understand, as well. The number appearing in
big boldface type contains the digits from 1 to 9 in descending order. I
don't think I would ever have noticed this kind of oddity on my own.
 
Did you find the information in this article useful?          

Do you have any comments you'd like to add?     

 

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