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A MUST for anyone's coffee table!!
This book is a testament to the wide range of problems that are geometric in nature. One of my favorites is known as the "worm problem." To be more precise, the question is, "find the convex set of least area where any continuous curve of length one can be placed in it." This type of problem has ramifications in optimal packings, where a single type of container needs to be constructed for all possible ways an object can fold. Other problems such as tiling and dissection; packing and covering and combinatorial geometry are also covered.
However, the best part of the book may be the extensive references. Every problem is followed by a list of references, so if you wish to take a crack at it, you will have little difficulty in locating the work done to the date of publication.
This is one of those books that always seems to beckon me when it lies on my bookshelf. Every once in awhile I pull it off and browse through it, admiring the skill and breadth of mathematicians in their pursuit of truth. It should be in every academic library.
Published in Journal of Recreational Mathematics, reprinted with permission
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This trade paperback contains the last three episodes of the 'Bad Blood' story arc that consumed nine issues in total. The force behind the series is the efforts of Selke, a horribly scarred vampire, to recover her looks, establish a power base, and to destroy Buffy. Selke and her accomplice Dr. Flitter have found away to create an evil Buffy twin whose assignment is to track down her original and 'slay' her.
Of course, we know that Buffy will survive, but the clone's ability to anticipate Buffy's every move allows her to accomplish the impossible - leave Buffy for dead in the Sunnydale sewer and shop for clothes in the same night. Buffy find help from an unexpected source and works her way to a final confrontation with Selke in the middle of the Sunnydale Mardi Gras celebration. A final short story tells the story of a sorority initiation that nearly stomps the clock permanently.
These are probably the best three episodes of 'Bad Blood,' both in terms of writing and artwork. Even so the long stretch of the comic book series works against it and it lacks the spark that a shorter series like 'The Blood of Carthage' can produce. It is hardly a failure however. I do suggest that the reader begin at the beginning with the first trade paperback, 'Bad Blood.'
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On the whole a worthwhile read for anyone interested in the big bands
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Other tales include 'The Latest Craze,' the story of what happens when owning miniature demons becomes a fad for the rich and snooty, and 'Double Cross' about a demon who resembles the Alien on steroids and has a knack for being in two places at once. Then there is 'One Small Promise,' a Buffy/Riley tidbit and 'City of Despair,' an interesting story that pits Buffy and Angel against each other in a final confrontation in yet another dimension. The remaining two tales are 'Bad Dog,' in which Oz is freed to so that a geek with low self-esteem can drain Willow's power, and 'Punish Me with Kisses,' a ghost story that is a bit too cute.
On top of offering a set of interesting, well conceived stories, 'Food Chain' has a stellar cast of illustrators. Both the stories and the full page artwork offer a far greater variety than the regular Dark Horse productions, which gives the reader a chance to appreciate different styles and better understand the arcane art of comic book production. If you aren't normally drawn to the graphic novel format, but want something that offers a representative sample of its potential this is the one to own.
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well worth the effort. You can always tell the work of a genius because it illuminates the landscape and shows us things we have never seen before. I design games for a living and this book rocks! Hackenbush, Nimbers, games with 1/2 move advantage. Well illustrated. ONLY PROBLEM: Where are volumes 2-4?
1) There are two players.
2) There are many different positions, with one singled out as the starting position.
3) Players move according to very specific rules.
4) The players move alternately.
5) Both players have complete information.
6) There is no chance element to the play. For example, dice are not involved.
7) The first player unable to move loses the game.
8) The game will always move to a state where a player cannot move, which is an ending condition.
The hardest part of the material is the notation, it is unusual and absolutely necessary to understand the treatment of nearly all the games. However, once you get over that, something that took me a couple of passes, the games become interesting. Some of them turn out to be trivial, although at first reading, that would not be your conclusion.
I also would caution you that this is not recreational mathematics in its base form. These games and problems are nontrivial and most require some serious thought, even when the result is simple. As I read through these games and the mathematical examination of the consequences of playing them, I was struck by two semi-profound thoughts.
1) The human mind can create a game out of just about anything. Some of these games are nothing more than colored marks on paper.
2) Even simple rules can generate complex results. However, mathematical analysis gives us powerful tools that inform us how to win, or as the case may be, how not to lose, or to lose as slowly as possible.
Berklekamp and company have created a classic work that is a must read if you want to understand game-like behavior. While not easy, it is some of the most worthwhile material that you will ever read. I read the first edition several years ago and found the going just as interesting the second time.
Published in Journal of Recreational Mathematics, reprinted with permission.
Firstly, the authors are Edward W. Simpson Jr. and Guy R. Everson (ie. not R.W. Simpson - he was a historical figure in the book). Dad found the letters hidden in a storage chest. He transcribed them over a period of four years and both authors spent another 3 years documenting the accuracy of the movements. Secondly, I am pleased to say it is truly one of the most wonderful bits of history that actually reads like a novel (important for me because I am not a Civil War buff). The story was a compilation of letters, written by a soldier dipicting everything from grand strategy, individual combat, to challenging personal experiences. The Simpson brothers (ie. the letter writters) served in Longstreets Corps under Robert E. Lee, in the Army of Northern Virginia. I am amazed at the courage that war required and how the letters capture the essence, the struggle, and the pathos of our Civil War.