
	Where results make sense

Topic: On Numbers and Games

Related Topics

Surreal number

Zero game

Nim

Combinatorial game theory

Normal form game

Game theory

Winning Ways for your Mathematical Plays

List of important publications in Mathematics

John Conway

Mathematical game

Sprouts (game)

Conway chained arrow notation

Card game

Theory of Games and Economic Behavior

Lottery

	On Numbers and Games - Wikipedia, the free encyclopedia
		In the first part, Conway provides an axiomatic construction of numbers and ordinal arithmetic, namely, the integers, reals, the countable infinity, and entire towers of infinite ordinals, using a notation that is essentially an almost trite (but critically important) variation of the Dedekind section.
		The remainder of the book is devoted to exploring a number of different (non-traditional, mathematically inspired) two-player games, such as nim, hackenbush, the map-coloring col and snort.
		Games that are not numbers have a fourth possibility: they may be fuzzy, meaning that the first player will win.
	en.wikipedia.org /wiki/On_Numbers_and_Games (583 words)

	Math Games: Evil Numbers
		The first 59 numbers in the CF of the Bloch constant sum to 666.
		The first 144 numbers in the CF of the Gauss constant sum to 666.
		The first 174 numbers in the CF of the Landau Constant sum to 666.
	www.maa.org /editorial/mathgames/mathgames_10_04_04.html (882 words)

	On Numbers and Games - Free net encyclopedia (Site not responding. Last check: 2007-10-23)
		On Numbers and Games is a mathematics book by John Horton Conway, published by Academic Press Inc in 1976, ISBN 0121863506, and re-released by AK Peters in 2000 (ISBN 1568811276).
		It uses sets to define a universe of numbers (whole numbers, fractional numbers and some very strange surreal numbers) and as a by-product, uses the same method to define some "games".
		Template:Ref At the start there are no games at all, so the empty set (i.e., the set with no members) is the only set of options we can provide to the players.
	www.netipedia.com /index.php/ONAG (424 words)

	Games Publications Inc
		Games, "the magazine for creative minds at play", is the leading consumer game and puzzle magazine in the United States.
		Games also has two sister magazines, Games World of Puzzles and Games World of Crosswords which are targeted at puzzle enthusiasts.
		Games Publications have been publishing on a regular basis picture-forming logic puzzles under the name of Paint By Numbers since the early 90’s.
	www.conceptispuzzles.com /partners/games.htm (207 words)

	Amazon.com: On Numbers and Games: Books: John Horton Conway (Site not responding. Last check: 2007-10-23)
		It turns out that something similar is true of all games that have certain properties, and that his surreal numbers tie into such games very nicely; "numbers" (and their generalizations) represent strategies in those games.
		I am not talking about facts such as whether a specific large number is prime, but about the fundamental definition of what a number is. The appearance of the surreal numbers is one of those mathematical equivalents of a whack on the side of the head.
		Suddenly, numbers are defined as the strengths of positions in certain games, something that is at first strange, but it turns out that the class of objects defined this way includes the real and ordinal numbers.
	www.amazon.com /exec/obidos/tg/detail/-/1568811276?v=glance (2089 words)

	The Math Forum - Math Library - Games
		What research has been done into the use of games in mathematics seems to have been concerned with games that were devised for the teaching, practising and/or reinforcement of specific skills such as negative numbers, coordinates, fractions etc., which are referred to as 'educational games'.
		The interest here is in games of a type that could well be played by choice to occupy moments of leisure which, to distinguish them from 'educational games', are here referred to as 'mathematical games'.
		Popular classroom games used in Japan for teaching language skills, but "remixed" to be of use to math teachers.
	mathforum.org /library/ed_topics/methods_games (1259 words)

	Ed Pegg's Math Games - The Möbius Function (and squarefree numbers)
		These complex numbers can always be factored into non-primes 1, -1, i, or -i times Gaussian primes of the form a+bi, where both a and b are positive integers.
		That's all the numbers both less than and relatively prime to 7, so 3 is a primitive root of 7.
		That's all the numbers both less than and relatively prime to 7, so 5 is a primitive root of 7.
	www.maa.org /editorial/mathgames/mathgames_11_03_03.html (1425 words)

	A K Peters, Ltd. - On Numbers and Games
		ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century.
		Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory.
		By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers.
	www.akpeters.com /book.asp?bID=135 (220 words)

	Math Games: Gaussian Numbers
		Similar searches for Gaussian Integers are unknown to me. For complex numbers, the Zetagrid project has collected the first 687 billion zeroes of the Riemann Zeta function.
		For almost every interesting number theory question, there is a similar question in the Gaussian integers.
		Sierpinski Number is a number k such that k•2
	www.maa.org /editorial/mathgames/mathgames_03_15_04.html (707 words)

	Free Numbers Up! Volcanic Panic OSX Download at Games-Mac.com
		This fun math game for ages 4-15 covers all basic skills.Its board game format has 7500 number fact and problem questions in numeration, addition, subtraction, multiplication, division, fractions, decimals, percentage and ratio at 26 graded levels.
		Varied question styles suit different learners.The game scenario requires players to collect as many fuel canisters as they can to escape from a tropical island whose volcano is about to blow.
		games are ideal for both classroom and family use: perfect for small math groups in a class setting, or for use by individual students needing either remediation or extension; perfect too for the family, where siblings, parents and grandparents can play simultaneously.
	www.games-mac.com /Games/Board/Numbers_Up_Volcanic_Panic_OSX_115_Review.html (329 words)

	UCSMP: Everyday Mathematics
		Drill and games should not be viewed as competitors for class time, nor should games be thought of as time-killers or rewards.
		Because the numbers in most games are generated randomly, the games can be played over and over without repeating the same problems.
		He also turns over the next card from the facedown deck and places it on top of 16, and the number on this card becomes the new number to be named.
	everydaymath.uchicago.edu /educators/samplegames.shtml (987 words)

	Video Games Features - AOL Games (Site not responding. Last check: 2007-10-23)
		So when VU Games announced that it was making a game for the Xbox and PlayStation 2 starring the artist du jour, it naturally needed to emphasize both components of his fame.
		By the numbers, VU Games says Bulletproof's 150 tracks will span more than eight hours, with 100 instrumental pieces and 13 previously unreleased songs and remixes performed by 50 Cent.
		Customers who preorder the game before its November 22 release date will receive "No Fear, No Mercy Live," a DVD featuring live performances of the rapper from the European leg of his tour in the fall of 2003.
	videogames.aol.com /article?articleID=331525 (333 words)

	Surreal Numbers
		The game is played on a rectangular board of arbitrary size, which is divided into smaller squares (for instance, a checker board).
		This game is made up of fl and grey branches that either touch the ground themselves, or are connected to the ground through a series of branches.
		Many of the numbers I have used have used the empty set as either L or R. The formula for these numbers is no different, and the calculations are no more difficult.
	www.usna.edu /MathDept/wdj/surreal_numbers.html (2262 words)

	Boston.com / News / Odds & ends / Visible numbers halt scratch-off games (Site not responding. Last check: 2007-10-23)
		The Louisiana Lottery Corp. has stopped sales of three scratch-off games because numbers supposed to be hidden could be read without scratching off anything.
		Lottery President Randy Davis ordered the printer to re-examine all current games and all tickets printed since Jan. 1, and a defect which could cause the same problem was found.
		The news release quoted the printer, which it did not identify, as saying the problem was one which developed over time, and was not immediately noticeable.
	www.boston.com /news/odd/articles/2004/03/29/visible_numbers_halt_scratch_off_games (292 words)

	Georgia State Games Commission
		The Georgia Games, an Olympic legacy, began due to the state's eagerness to prove Georgia's interest in amateur sports.
		The 2006 Georgia Games Championships continue to "Keep the Olympic Dream Alive" in the hearts and minds of Georgians as athletes have the opportunity to hone their skills at new venues and against new competition.
		The Georgia Games Championships is an event for all ages and skill levels.
	gagames.kennesaw.edu (292 words)

	NLVM 3 - 5 - Number & Operations Manipulatives
		Virtual manipulatives related to the NCTM Number and Operations standard for grades 3 - 5.
		– Use inference and logic to play a game and guess a hidden pattern of pegs.
		– Solve puzzles involving arranging numbers on a diagram so that they add up to a given value.
	nlvm.usu.edu /en/nav/category_g_2_t_1.html (424 words)

	Games that interest John Conway (Site not responding. Last check: 2007-10-23)
		Many of us have used logic and numbers to explain how to win a game, but mathematician Conway was not about to do something so ordinary.
		As you understand the games and become expert at playing them, you will be building tools for understanding numbers and becoming an expert at playing with them.
		If you play these games enough, you will be come so completely clever at them that you can always have a strategy that will win (as long as you don't play them with someone who is quite as clever about them as you are.)
	www.cs.uidaho.edu /~casey931/conway/games.html (170 words)

	Numbers - An addictive game that tests your number adding skills! Add up numbers before the time runs out.
		This is an addictive game that tests your brains and at the same time it's great fun!
		The objective of the game is to pick a combination of numbered blocks, from a grid that would add up to equal the number on the right-hand side of the game screen.
		You'll win the game if there are no numbered blocks left on the board.
	numbers.freeonlinegames.com (181 words)

	Amazon.co.uk: On Numbers and Games: Books: John H. Conway (Site not responding. Last check: 2007-10-23)
		ONAG, as the book is known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century.
		By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers (so named by Donald Knuth) that includes at the same time the real numbers and the ordinal numbers.
		We are the new lottery game, where you have 27 times better odds of winning a jackpot and we have a jackpot winner every week.
	www.amazon.co.uk /exec/obidos/ASIN/1568811276 (410 words)

	The numbers Games
		Number of journalists and photographers accredited for the 2000 Olympic Games: 5,000
		Number of hours of live television expected to be produced by the Sydney Olympic Broadcasting Organization: 3,200
		Number of medals the United States has won in the Summer Games 1896-1996: 2,004
	deseretnews.com /sydney/view/1,3466,195009538,00.html (163 words)

	BSC Games - 15 numbers (Site not responding. Last check: 2007-10-23)
		You have 15 numbers, 1 through 15, on two game boards - the task board and the work board.
		The task board shows the 15 numbers arranged in a specific pattern that you must match by using the work board.
		You use the one empty slot on the work board to shuffle the numbers around to match the exact numeric pattern on the task board.
	www.bscgames.com /bsc_15numbers.asp (200 words)

	Mathematical Games, Toys, and Puzzles
		Turnablock, one of many games invented and analyzed by John Conway, implemented as a Java applet by Ken Shirriff.
		The Games Domain is mostly about PC video games (yawn), but there are a few pointers to other "abstract" games pages.
		A level-zero games consists of choosing an integer between 1 and 5.
	compgeom.cs.uiuc.edu /~jeffe/mathgames.html (1713 words)

	The Games by numbers - Commonwealth Games - smh.com.au
		The Games by numbers - Commonwealth Games - smh.com.au
		The Games more than lived up to the hype, says Raelene Boyle.
		Volunteers are grateful for the recognition being heaped upon them at the 'thank you' parade.
	www.smh.com.au /news/commonwealth-games/the-games-by-numbers/2006/03/28/1143441134118.html (373 words)

	Combinatorial Game Theory
		An important distinction between this subject and classical game theory (a branch of economics) is that game players are assumed to move in sequence rather than simultanously, so there is no point in randomization or other information-hiding strategies.
		Joust, a game in which two knights use up the squares of a chessboard until one is stuck.
		In this game, a position is represented by a number, and one moves by either adding or subtracting the largest prime number less than or equal to the position.
	www.ics.uci.edu /~eppstein/cgt (1515 words)

	Numbers Games
		When we do the drawing on Tuesday and Friday night, in addition to drawing five numbers (which you must match to win the jackpot) we draw a sixth number which is called the "Bonus Ball".
		If three of your numbers match any three of the first five numbers drawn and one of your other two numbers matches the Bonus Ball drawn you win $100.
		If two of your numbers match any two of the first five numbers drawn and one of your other three numbers matches the Bonus Ball drawn you win $10.
	www.state.mn.us /ebranch/msl/gifs/numbers.html (857 words)

	NIEHS Kids Page -- Number Brainteasers 2
		Tell a friend that the two of you will pick five 5-digit numbers at random, and then will add them together -- but, amazingly, after just hearing the first number and before the others have even been selected, you'll be able to accurately predict what the TOTAL of those five numbers will be!
		Then you immediately write a fifth 5-digit number beneath it (again, you'd select that number according to the instructions below).
		Compare that answer to the one you wrote down after the first number was selected.
	www.niehs.nih.gov /kids/brnumber.htm (1306 words)

	Printable Math Games: Exploring Numbers (Site not responding. Last check: 2007-10-23)
		Practice comparing and reading large numbers while learning about some of the world’s most interesting sharks.
		Practice numbers from 1 to 100, with an emphasis on reading numbers and noticing patterns.
		Practice putting numbers to 100 in order least to greatest, while trying to collect more of any one type of circus card than your opponents.
	www.homeeducationresources.com /Math1.htm (216 words)

	UGO.com Games Channel - Numbers Don't Lie (Site not responding. Last check: 2007-10-23)
		Okay, we all know that it’s generally crap like Barbie games that dominates the PC sales charts.
		They actually analyzed the sales numbers for three high-profile products to see who came out where.
		WE know the future of gaming, and we don’t even charge $3.99 a minute.
	www.ugo.com /channels/games/pc/article.asp?articleId=652&SectionId=30 (113 words)

	Blackwell Online - On Numbers and Games
		This book, defined, if not created, the field of mathematical game theory when it was introduced 25 years ago.
		This new edition ends with an epilogue that sets the stage for further research on surreal numbers.
		Number Theory in the Land of Oz Ch.
	bookshop.blackwell.com /bobus/scripts/home.jsp?action=search&type=isbn&term=1568811276&source=3246541172 (310 words)

Try your search on: Qwika (all wikis)