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Topic: Antimagic square

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Bimagic square

Trimagic square

Magic constant

Multimagic square

Panmagic square

Diabolic square

Heterosquare

Magic tesseract

Magic cube

Prime reciprocal magic square

Magic star

LUX method for magic squares

Eight queens puzzle

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	magic square
		A square that fails to be magic only because one or both of the main diagonal sums don't equal the magic constant is called a semi-magic square.
		An antimagic square is an n × n array of integers from 1 to n
		A 4 × 4 antimagic square is a square arrangement of the numbers 1 to 16 so that the totals of the four rows, four columns, and two main diagonals form a sequence of ten consecutive integers, for example:
	www.daviddarling.info /encyclopedia/M/magic_square.html (685 words)

	Antimagic Square -- from Wolfram MathWorld
		square, the sums are 30, 31, 32,..., 39; for the
		Antimagic squares of orders one, two, and three are impossible.
		square, there is no known method of proof of this fact except by case analysis or enumeration by computer.
	mathworld.wolfram.com /AntimagicSquare.html (250 words)

	Magic square Summary
		In recreational mathematics, a magic square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.
		The earliest magic square of order four was found in an inscription in Khajuraho, India, dating from the eleventh or twelfth century; it is also a panmagic square where, in addition to the rows, columns and main diagonals, the broken diagonals also have the same sum.
		In the magic square of order four, the numbers in the four central squares and one square at each corner are retained in the same place and the others are interchanged with their diametrically opposite numbers.
	www.bookrags.com /Magic_square (2733 words)

	Search ScienceWorld
		An nxn Latin square is a Latin rectangle with k==n.
		An antimagic square is an nxn array of integers from 1 to n^2 such that each row, column, and main diagonal produces a different sum such that these sums form a sequence of consecutive integers.
		The square knot, also called the reef knot, is a composite knot of six crossings consisting of a knot sum of a trefoil knot and its mirror image (Rolfsen 1976, p.
	scienceworld.wolfram.com /search/index.cgi?num=&q=square&start=10 (494 words)

	Antimagic square - Wikipedia, the free encyclopedia
		An antimagic square of order n is an arrangement of the numbers 1 to n² in a square, such that the n rows, the n columns and the two diagonals form a sequence of 2n + 2 consecutive integers.
		In each of these two antimagic squares of order 4, the rows, columns and diagonals sum to ten different numbers in the range 29–38.
		Antimagic squares form a subset of heterosquares which simply have each row, column and diagonal sum different.
	en.wikipedia.org /wiki/Antimagic_square (153 words)

	Science > Math > Recreations > Magic Square
		Inside mathematics, a magical square (幻方) of choose north is anorth arrangement of n² amounts within the square, such that the north totals everthing told rows, all columns, & two diagonals total to the equivalent constant.
		A earliest magic square of sequentially quartet was uncovered withinside an inscription in Khajuraho, India, dating from the eleventh or even 12th century; these are as well a panmagic square where, in addition to a rows, columns & principal diagonal, a broken diagonals likewise keep close at hand the equivalent total.
		A magical total of a square is 33, the age of Jesus at the instance of the Passion.
	magic-square.generalanswers.org (1531 words)

	NSDL Metadata Record -- Antimagic Square -- from MathWorld
		An antimagic square is an n\times n array of integers from 1 to n^2 such that each row, column, and main diagonal produces a different sum such that these sums form a sequence of consecutive integers.
		For the 4\times 4 square, the sums are 30,...
		Abe, G. "Unsolved Problems on Magic Squares." Disc.
	nsdl.org /mr/698866 (145 words)

	The On-Line Encyclopedia of Integer Sequences
		a[n-1] is one approximation for the upper bound of the "antimagic constant" of an antimagic square of order n.
		The antimagic constant here is defined as the least integer in the set of consecutive integers to which the rows, columns, and diagonals of the square sum.
		Note there exist no antimagic squares of order two or three, but the values are indexed here for completeness.
	www.research.att.com /~njas/sequences/A117561 (204 words)

	magic_square (Site not responding. Last check: 2007-10-17)
		The earliest magic square of order four was found in an inscription in Khajuraho, India and in the Encyclopedia of the Brethren of Purity dating from the eleventh or twelfth century; it is also a panmagic square where, in addition to the rows, columns and main diagonals, the broken diagonals also have the same sum.
		The pieces of the medjig puzzle are squares divided in four quadrants on which the numbers 0, 1, 2 and 3 are dotted in all sequences.
		The aim of the puzzle is to take 9 squares out of the collection and arrange them in a 3 x 3 "medjig-square" in such a way that the series, columns and diagonals formed by the quadrants, show the sum of 9.
	www.carsafeguard.com /wiki/?title=Magic_square (1945 words)

	[No title]
		This spell is like Antimagic save that spells that it intercepts transfer their mana to the caster and the caster may dump mana into the shield at any time during the spell duration though he may not increase the protection above its nominal level.
		This spell, if it hits the protection field generated by an Antimagic spell, forces a save versus magic (the caster of the Antimagic's magic save, assume 75 if this number is not known) or the Antimagic spell will turn inside out shielding people on the outside against the spells of those in the interior.
		Special failure mode three causes the antimagic to leap to the caster of the reverse antimagic without turning inside out: it shields the rest of the world from the spells of the caster of the reverse antimagic.
	orion.math.iastate.edu /danwell/rop/html/thaumat.html (11665 words)

	Prime Magic Squares
		This pair of magic squares are constructed using the 73 consecutive primes from 3 to 373.
		Square B is formed by dividing each number in A by 2.
		Of the 91 primitive squares, 56 have a common sum that is a perfect square.
	www.geocities.com /CapeCanaveral/Launchpad/4057/primesqr.htm (2227 words)

	EN World - Morrus' D&D / d20 News & Reviews Site - Antimagic field increadble dangerous or? help needed!
		Antimagic Field seem quite simple to understand, but in some combination or situations it can be very uncertain.
		If a person is in a square that is covered with an antimagic field and the adjacent square is not, can that person be attacked by for instance a flaming sword and get flaming damage if he attacker is outside the field?
		I think both weapons striking and weapons wielded by the character in the AMF should be treated as non-magical.
	www.enworld.org /printthread.php?t=2479 (835 words)

	Puzzle 264. Antimagic Prime Squares
		For sure you know that an antimagic square of order n is an arrangement of nxn distinct numbers such that the 2n+2 sums of rows, columns and diagonals are consecutive numbers.
		During this week I asked - in a personal communication - to J.C. Rosa if he was thinking that an antimagic prime square 3x3 was possible with an additional condition: the nine primes used are consecutive primes.
		P1 be an antimagic square with {0,2,4,6,8,10,12,14}={X,Y,Z,W,V,U,T,K}, and X+Y+Z+W+V+U+T+K=56.
	www.primepuzzles.net /puzzles/puzz_264.htm (498 words)

	Rules of the Game: Reading Spell Descriptions (Part Five) (Site not responding. Last check: 2007-10-17)
		If the caster's space fills only one square, the cone can start at any corner of the space (that corner is the spell's point of origin).
		(If the caster's space fills more than one square, you can use the optional rule suggested for cones to select the point of origin.) The line extends from the point of origin in any direction the caster chooses and reaches as far as the spell's range (or until its line of effect is blocked).
		The rules regarding lines are somewhat muddled; however, a line affects anything in a square that the line passes though or touches.
	www.wizards.com /default.asp?x=dnd/rg/20040824a (1709 words)

	WON TOPIC 132
		Thus a 33 antimagic* square with 8 sums in
		For a 44 antimagic* square composed with prime numbers it is
		positioned at the middle of a 55 antimagic* square.
	www.worldofnumbers.com /won132.htm (315 words)

	SRD - Special Abilities and Conditions
		Spell areas that include both an antimagic area and a normal area, but are not centered in the antimagic area, still function in the normal area.
		Magic items with continuous effects do not function in the area of an antimagic effect, but their effects are not canceled (so the contents of a bag of holding are unavailable, but neither spill out nor disappear forever).
		Wall of force, prismatic wall, and prismatic sphere are not affected by antimagic.
	www.csc.calpoly.edu /~dwilson/dnd/srdabilitiesandconditions.html (11108 words)

	Official D&D Minis Clarifications (Site not responding. Last check: 2007-10-17)
		When the commander effect is triggered, followers within 6 squares of the Nentyar Hunter that have line of sight to the target may immediately make a single ranged attack against that target even if the target is not the nearest enemy.
		The "Exit B" squares are not part of starting area B. The player who sets up in starting area B cannot place his creatures in any of the "Exit B" squares.
		(Each of the squares adjacent to the origin of the line is one diagonal square away.) This is fundamentally identical to the way cones work; a creature aligns a cone template with one of its "back" corners relative to the target, the cone doesn't go as far.
	homepage.mac.com /guyf/DDM/Clarifications.html (13088 words)

	(Type a title for your page here)
		Once a magical effect is no longer affected by the antimagic (the antimagic fades, the center of the effect moves away, and so on), the magic returns.
		• Spell areas that include both an antimagic area and a normal area, but are not centered in the antimagic area, still function in the normal area.
		If the spell's center is in the antimagic area, then the spell is suppressed.
	mysite.verizon.net /emagius/v35_SRD/AbilitiesandConditions.html (11065 words)

	Anti-magic Squares
		A pattern closely related to magic squares but relatively unexplored, is the anti-magic square.
		Anti-magic Square: similar to a heterosquare except all rows, columns and main diagonals have consecutive sums.
		Anti-magic squares are a subset of heterosquares were the row, column, and diagonal sums are consecutive integers.
	www.geocities.com /~harveyh/anti_ms.htm (1240 words)

	Magic square - Wikipedia, the free encyclopedia
		Arrange a 3 x 3 medjig square (for convenience this time you may choose unlimited from the whole collection).
		Then take the well-known classic 3 x 3 magic square and divide all fields of it in four quadrants.
		For the construction of a magic square of order 10 you have to arrange a 5 x 5 medjig solution, for which two sets of medjig pieces are needed.
	en.wikipedia.org /wiki/Magic_square (2309 words)

	GAMES
		By placing digits bricklike in square or triangular or hexagonal patters an ever growing and changing tableau of interlocking pip sequences, with the pips readable in different number combinations by the two {or more} players, is generated.
		ALPHAMAGIC SQUARE: square in which numbers and their number names' number of letters are both magical, e.
		ANTIMAGIC SQUARE: square in which all rows and columns have different sums, e.
	untilheaven.tripod.com /id76.htm (9197 words)

	The Anti-Magic Square Project (Site not responding. Last check: 2007-10-17)
		Anti-Magic Squares are a variation on the heavily studied and well-understood magic square.
		in a square matrix such that the row, column, and diagonal sums form a sequence of consecutive integers.
		Some people only require that the row, column and diagonal sums of a square be different to be called Anti-Magic.
	io.uwinnipeg.ca /~vlinek/jcormie (325 words)

	masters thesis projects - m@thias beck
		A latin square is an nxn matrix, in which the entries in each row and column are distinct.
		The most famous class of examples are magic squares (the sets are the rows, columns, and diagonals).
		We call a graph antimagic if we can distribute the numbers 1, 2,..., n among its n edges such that the sums of the labels incident to each node are all different.
	math.sfsu.edu /beck/teach/masters.html (1430 words)

	Bard´s Tale PC Walkthrough - gamexperts.com (Site not responding. Last check: 2007-10-17)
		You must also obtain the silver square from the southwest corner of the dungeon.
		The access to this is from a teleport located towards the middle of the northern section of the dungeon.
		After you have reached the antimagic square from wandering in a very small section of the dark, the next step forward is a teleport to 11E 12N.
	www.gamexperts.com /?cheat_id=668 (2957 words)

	Untitled Document
		magic square consisting only of prime numbers (although the number 1 is sometimes allowed in such squares).
		prime magic square (containing a 1) having the smallest possible magic constant, and was discovered by Dudeney in 1917 (Dudeney 1970; Gardner 1984, p.
		prime magic square consisting of consecutive primes having the smallest possible magic constant (Madachy 1979, p.
	users.skynet.be /fa956617/math/topics/PrimeMagicSquare.html (212 words)

	Cube_Update-1
		In 2003, Peter Loly of the University of Manitoba published an order 4 square [1] that was not magic because the rows and columns all summed to different values.
		Anti-magic Square: a subset of heterosquares where all rows, columns and main diagonals have consequetive sums.
		My heterosquare and antimagic square page includes samples of Peter Bartsch heterosquares sent to me between November 2002 and March 2003.
	members.shaw.ca /hdhcubes/cube_update-1.htm (1418 words)

	CHEAT CHASER : PC Cheats : The Bards Tale - Walkthrough/FAQ (Site not responding. Last check: 2007-10-17)
		You must also obtain the silver square from the southwest corner of the dungeon.
		The access to this is from a teleport located towards the middle of the northern section of the dungeon.
		After you have reached the antimagic square from wandering in a very small section of the dark, the next step forward is a teleport to 11E 12N.
	www.cheatchaser.com /pc/b/bards-tale-guide.html (2864 words)

	Magic Figure Generator (Site not responding. Last check: 2007-10-17)
		A very fun book on the topic which I highly recommend if you want to play with this program extensively is called The Zen of Magic Squares, Circles and Stars by Clifford A. Pickover.
		After reading his book, I was inspired to make a general-purpose magic figure generation program to further explore the topic.
		This doesn't give a solution: It is impossible to make a 3-sided perfect magic cube.It just confirms what was proven mathematically already.
	www.contrib.andrew.cmu.edu /~bsauerwi/magic.htm (291 words)

	Hive Mother
		All magical and supernatural powers and effects within the cone are suspended — even the eye rays of other beholders (including her those of her brood).
		Once each round, during its turn, the hive mother decides which way it will face, and whether the antimagic cone is active or not (the hive mother deactivates the cone by shutting its central eye.
		Once each round, during its turn, the orbus decides which way it will face, and whether the antimagic cone is active or not (the orbus deactivates the cone by shutting its central eye.
	www.shatteredfractine.com /critters/monsters/35beholder.html (1639 words)

	Braindead's Mordor Site - The Unofficial Mordor: The Depths Of Dejenol Community -> Strange map feature
		However, Braindead's editor displays it as a simple extinguish square.
		At first, I thought it was a display error in the editor, but even the data for that square says extinguish only.
		If you cast a spell while on an extinguish square, it'll say "Anti-Magic area!" and paint an anti-magic square over the extinguish on the automap.
	mordor.uni.cc /forum/index.php?showtopic=2234 (260 words)

	The On-Line Encyclopedia of Integer Sequences
		a[n-1] is an approximation for the lower bound of the "antimagic constant" of an antimagic square of order n.
		This approximation follows from the observation that (2Sum[k, {k, 1, n^2}]) + (m) + (m+1) <= Sum[m + k, {k, 0, 2n + 1}] where m is the antimagic constant for an antimagic square of order n.
		a[3] = 29 because the antimagic constant of an antimagic square of order 4 must be at least 29 (see comments)
	www.research.att.com /~njas/sequences/A117560 (204 words)

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