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Topic: Tiling puzzle

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	Tiling Puzzle
		Tiling puzzles may be made from wood, metal, cardboard, plastic or any other sheet-material.
		In contrast to shuffling puzzles, however, in transport puzzles all tokens have to follow certain routes given on the board; they cannot be lifted off the board and placed on faraway positions that have no visible connection to the from-position.
		In polycube puzzles the player is usually presented with a set of such polycubes and he has the task to assemble them to a certain shape.
	www.kidslearnonline.com /Puzzle/Tiling-Puzzle.html (700 words)

	Tile - Wikipedia, the free encyclopedia
		Tiles are generally used for covering roofs, floors, and walls, or other objects such as tabletops.
		Mission or barrel tiles are semi-cylindrical tiles made by forming clay around a log and laid in alternating columns of convex and concave tiles.
		Tiles were developed as a product of earthenware pottery, either as an alternative use for fragments of broken pottery (called potsherds) or as an independent invention.
	en.wikipedia.org /wiki/Tile (795 words)

	Jigsaw puzzle - Wikipedia, the free encyclopedia
		A jigsaw puzzle is a tiling puzzle that requires the assembly of numerous small, often oddly-shaped, interlocking pieces.
		Jigsaw puzzles were originally created by painting a picture on a flat, rectangular piece of wood, and then cutting that picture into small pieces with a jigsaw, hence the name.
		Two puzzles of the same size and series from the same manufacturer usually have exactly the same cut, since the cutting dies are complex and expensive to make and so are used repeatedly from puzzle to puzzle.
	en.wikipedia.org /wiki/Jigsaw_puzzle (700 words)

	Tiling puzzle - Wikipedia, the free encyclopedia
		Tiling puzzles use two-dimensional shapes that have to be assembled into a larger given shape without overlaps (and often without gaps).
		Some tiling puzzles ask you to dissect a given shape first and then rearrange the pieces into another shape.
		Tiling puzzles may be made from wood, metal, cardboard, plastic or any other sheet-material.
	en.wikipedia.org /wiki/Tiling_puzzle (140 words)

	Tiling puzzle (Site not responding. Last check: 2007-11-03)
		Some tiling puzzle s ask you to dissect a given shape first and then rearrange the pieces into another shape.
		The two latter types of tiling puzzles are also called dissection puzzle s.
		Tiling Plain and Fancy Tiling from the mathematical and historical viewpoint by Steve Edwards.
	www.serebella.com /encyclopedia/article-Tiling_puzzle.html (413 words)

	Puzzle article - Puzzle problem entertainment packing problems tour puzzles chess problems - What-Means.com (Site not responding. Last check: 2007-11-03)
		A puzzle is a problem or enigma presented as entertainment; that is written down, acted out, etc.
		Many puzzles stem from serious mathematical or logistical problems (see packing problems and tour puzzles).
		The history of puzzles goes back many thousand years, Tangram being one of the earliest and still one of the most popular puzzles.
	www.what-means.com /encyclopedia/Puzzle (202 words)

	Tile (Site not responding. Last check: 2007-11-03)
		A tile is a small, manufactured piece of hard-wearing material such as clay or stone used for covering roofs, floors, and walls, or other objects such as tabletops.
		The tiles are usually laid on a bed of sand, with cement sometimes added for extra strength.
		The gaps between the tiles are finally filled with a mortar mixture.
	www.worldhistory.com /wiki/T/Tile.htm (778 words)

	[No title] (Site not responding. Last check: 2007-11-03)
		It should be noted that given a tiling model the (deterministic) local matching rules can always be encoded as a series of bumps and dents along the edges of the prototiles (prototiles are the basic tile shapes of the tiling model, tiles are isometric copies of the prototiles; see section 2 for further details).
		Simple placement of tiles one after the other (the correct matching rules being assumed) to a growing patch of tiles often leads to a quasicrystal which cannot be extended to a tiling of space.
		Considering the local matching rules as nearest neighbour interactions between tiles, local inspection (within a distance $r$) is tantamount to a finite range interaction amongst tiles: a tile may be added to a patch provided every subpatch of diameter less than $2r$ containing it belongs to some tiling of the space.
	www.ma.utexas.edu /mp_arc/papers/94-212 (3536 words)

	Free tiling download: download tiling game
		This is a tile sliding puzzle game that allows you to use your own pictures.The object of this game is move the tiles to recover the original picture.
		At the beginning of a game, the picture will be chopped into tiles, one of the tiles are taken away so that the adjacent tiles can move to this place.
		The tiles will be shuffled and then you can move the tiles into the empty space.
	www.gamealbum.com /keyword/tiling (163 words)

	The Geometry Junkyard: Polyominoes (Site not responding. Last check: 2007-11-03)
		Interlocking Puzzles LLC are makers of hand crafted hardwood puzzles including burrs, pentominoes, and polyhedra.
		Puzzles by Eric Harshbarger, mostly involving colors of and mazes on polyhedra and polyominoes.
		Tiling rectangles and half strips with congruent polyominoes, and Tiling a square with eight congruent polyominoes, Michael Reid.
	www1.ics.uci.edu /~eppstein/junkyard/polyomino.html (1866 words)

	Jigsaw Puzzle Collection (Site not responding. Last check: 2007-11-03)
		A jigsaw puzzle is a tiling puzzle that requires the assembly of numerous small, oddly shaped interlocking pieces.
		Jigsaw puzzles were originally created by painting a picture on a flat, rectangular piece of wood, and then cutting that picture into small pieces with a jigsaw, hence the name.
		Two puzzles of the same size and series from the same manufacturer usually have exactly the same cut, since the cutting dies are complex and expensive to make and so are used repeatedly from puzzle to puzzle.
	www.pages.drexel.edu /~arz25/history4a.html (640 words)

	Tiling puzzle -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-11-03)
		Some tiling (A toy that tests your ingenuity) puzzles ask you to dissect a given shape first and then
		Many tiling puzzles are now available as (A game played against a computer) computer games.
		More information related to tiling problems can be found under (The application of tiles to cover a surface) tiling.
	www.absoluteastronomy.com /encyclopedia/T/Ti/Tiling_puzzle.htm (178 words)

	Tangram - Wikipedia, the free encyclopedia
		Tangram (Chinese: 七巧板; pinyin: qī qiǎo bǎn; literally "seven boards of cunning") is a Chinese puzzle.
		While the tangram is often said to be ancient, its existence has only been verified as far back as 1800.
		gTans, a Tangram puzzle for Linux and Unix.
	en.wikipedia.org /wiki/Tangram (966 words)

	Computer Puzzle Game
		Puzzle games are relatively easy to develop and to take from dedicated arcade units, to home video game consoles, to personal digital assistants and mobile phones.
		Tiling puzzles use two-dimensional shapes that have to be assembled into a larger given shape without overlaps (and often without gaps).
		The eight queens puzzle is the problem of putting eight chess queens on an 8×8 chessboard such that none of them is able to capture any other using the standard chess queen's moves.
	www.kidslearnonline.com /Puzzle/Computer-Puzzle-Game.html (856 words)

	Jigsaw Puzzle - Info, Tricks, Cheats, Walkthroughs, & Links (Site not responding. Last check: 2007-11-03)
		A jigsaw puzzle is a tiling puzzle that requires the assembly of numerous small, oddly shaped interlocking pieces.
		The French term for jigsaw puzzle is "casse-tete", or "break-head", referring to the imputed difficulty of solving.
		Adult jigsaw puzzles typically come in 500-piece, 750-piece, and 1,000-piece sizes, and even more, currently the biggest commercially available size is 18,000 pieces.
	www.kurdistanline.com /Jigsaw-Puzzle.html (680 words)

	Lévy Dragon Tiles the Plane
		Moreover, it has the very curious property that, if [the dragon curve] were materialized, one could tile the plane with it, i.e., one can cover the plane with identical copies of this curve such that no two copies intersect, and such that no space is left uncovered.
		Notice in the tilings using L2 that the unit square can be split into 4 smaller squares of area 1/4 that resemble the original pattern of four isoceles right triangles in the tiling with L0.
		Because the tiling for L2 consists of the same pattern as for L0, only on a smaller scale, the same construction would show that L3 and L4 continue to tile the plane.
	ecademy.agnesscott.edu /~lriddle/ifs/levy/tiling.htm (540 words)

	Glimpses of Genius: Science News Online, May 15, 2004 (Site not responding. Last check: 2007-11-03)
		Archimedes was not the puzzle's inventor—it was around before his time, says Reviel Netz, a Stanford University math historian on the team of experts studying the palimpsest.
		Returning from the network to the puzzle itself, the team became intrigued by a special property of the puzzle first observed by Athina Markopoulou, an electrical-engineering postdoctoral student at Stanford.
		If the Stomachion puzzle is placed on a 12-by-12 grid, then all the corners of the tiles lie on lattice points on the grid.
	www.sciencenews.org /articles/20040515/bob9.asp (2237 words)

	The Geometry Junkyard: Polyominoes
		Interlocking Puzzles LLC are makers of hand crafted hardwood puzzles including burrs, pentominoes, and polyhedra.
		Puzzles by Eric Harshbarger, mostly involving colors of and mazes on polyhedra and polyominoes.
		Tiling rectangles and half strips with congruent polyominoes, and Tiling a square with eight congruent polyominoes, Michael Reid.
	www.ics.uci.edu /~eppstein/junkyard/polyomino.html (1858 words)

	Kevin Dale (Site not responding. Last check: 2007-11-03)
		For rendering purposes, both the board and each puzzle piece are represented as primitives; in the case of rectilinear puzzles, primitives are squares, each with a position relative to its parent object, and a color.
		This heuristic significantly reduces solver time for puzzles like test1, where there is a large range of piece sizes, as it reduces the number of board spaces to test.
		For puzzles like partial_cross, where there are more pieces than can fit on the board, an additional preprocessing step is required.
	www.cs.virginia.edu /~ktd3q/algorithms/puzzle_solver.html (1066 words)

	Tulip Toys - No1 for Wooden Puzzles, Jigsaws and Games
		A wooden jigsaw puzzle is a tiling puzzle that requires the assembly of numerous small, often oddly-shaped, interlocking pieces.
		Wooden jigsaw puzzle were originally created by painting a picture on a flat, rectangular piece of wood, and then cutting that picture into small pieces with a jigsaw, hence the name.
		Other fully interlocking puzzles may have tabs and blanks variously arranged on each piece, but they usually have four sides, and the numbers of tabs and blanks thus add up to four.
	www.tuliptoys.co.uk /wooden_jigsaw_puzzle.htm (348 words)

	Science Math Recreations Polyominoes (Site not responding. Last check: 2007-11-03)
		Random domino tiling of an Aztec diamond - Matthew Blum demonstrates the properties of random domino tiling of an Aztec diamond.
		Tiling of Pythagorean triplets - Joe Fields suggests that L-decomposition of squares of Pythagorean triplets could always be tiled.
		Unbalanced anisohedral tiling - Joseph Myers and John Berglund found a polyhex that must be placed in two different ways in a tiling of a plane, such that one placement occurs twice as often as the other.
	www.iper1.com /iper1-odp/scat/id/Science/Math/Recreations/Polyominoes (1643 words)

	The Geometry Junkyard: All Topics
		The regular tiling by hexagons can be repeatedly subdivided and recombined into a tiling by hexagons 1/7 the size of the original, to form an interesting recursive structure.
		John Conway and Charles Radin describe a three-dimensional generalization of the pinwheel tiling, the mathematics of which is messier due to the noncommutativity of three-dimensional rotations.
		Snowflake reptile hexagonal substitution tiling (sometimes known as the Gosper Island) rediscovered by NASA and conjectured to perform visual processing in the human brain.
	kmh.ync.ac.kr /Comscience/vision/junkyard/all.html (10040 words)

	Tiling Rectangles With Polyominoes
		This is an interesting problem in itself, and I have a C program to find all the solutions, but it lies outside the scope of this discussion.
		My tiling software, referenced earlier, would have to be completely restructured to handle 3-dimensional polyominoes, yet the changes would be straight forward.
		If you are interested in tilings, or mathematical patterns in general, Brian Wichmann has assembled a large collection, from all branches of mathematics.
	www.eklhad.net /polyomino (1470 words)

	Tetris shaped jigsaw puzzle? \| Ask MetaFilter
		My girlfriend is looking for a type of picture puzzle that she used to do about 10 years ago.
		It was a series of jigsaw puzzles that used pieces shaped similar to blocks in Tetris.
		She says the puzzles were called "Mosaics" (Not to be confused with photomosaic puzzles, which are a large collection of photographs that make a larger image).
	ask.metafilter.com /52895/Tetris-shaped-jigsaw-puzzle (386 words)

	Kadon Enterprises, Inc., Tilings and Designs, Page 3 of 4
		This puzzle was first published by F.A. Richter in Germany in 1891.
		This 14-tile dissection is the oldest documented puzzle in the world, and the decipherment of Archimedes' rediscovered manuscript is a hot topic among historical scholars and mathematicians.
		Because these are not a puzzle to solve but a tool for creating recognizable images, their use also encourages communication and provides artistic fun for ages 6 to adult.
	www.gamepuzzles.com /tiling3.htm (589 words)

	The Tromino Puzzle by Norton Starr
		The basic puzzle consists of 21 right-angle shaped pieces ("tiles") of the sort shown, composed of three squares; one additional single square tile; and a plane, 8×8 square grid whose squares are the same size as those of the tiles.
		Thinking that an actual puzzle of this sort would add an element of reality and might spark interest in the method of induction, I sent a note to Kadon, a leading puzzle maker, to see if they had one I could purchase.
		Kate invited Oriel Maximé to contribute some of his maze-like challenges for tiling with the trominoes, and the brochure includes a variety of rectangular templates with strategically chosen lines of the grids darkened to serve as barriers across which trominoes may not be placed.
	www.amherst.edu /~nstarr/trom/intro.html (2368 words)

	> Science> Math> Recreations> Polyominoes / Career Websites by WritingCareer.com / Careers for Writers / Resources for ... (Site not responding. Last check: 2007-11-03)
		Tiling a Square With Eight Congruent Polyominoes - - Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A".
		Tiling of Pythagorean Triplets - - Joe Fields suggests that L-decomposition of squares of Pythagorean triplets could always be tiled.
		Unbalanced Anisohedral Tiling - - Joseph Myers and John Berglund found a polyhex that must be placed in two different ways in a tiling of a plane, such that one placement occurs twice as often as the other.
	www.writingcareer.com /careerwebsites/index.php?browse=/Science/Math/Recreations/Polyominoes (2210 words)

	The Geometry Junkyard: All Topics (Site not responding. Last check: 2007-11-03)
		This shape, constructed by inscribing circular arcs in a spiral tiling of squares, resembles but is not quite the same as a logarithmic spiral.
		The regular tiling by hexagons can be repeatedly subdivided and recombined into a tiling by hexagons 1/7 the size of the original, to form an interesting recursive structure.
		Constructs a tiling of ten-dimensional space by unit hypercubes no two of which meet face-to-face, contradicting a conjecture of Keller that any tiling included two face-to-face cubes.
	www.cecs.uci.edu /~eppstein/junkyard/all.html (9742 words)

	tilepent (Site not responding. Last check: 2007-11-03)
		John Savard has put together a beautiful page about a pentagonal tiling system originally discovered by Kepler here.
		Bob Jenkin's half-bath has a beautiful tiling based on the Hirschhorn Medalion.
		This is one pentagon in the Chaos Tiles.
	www.mathpuzzle.com /tilepent.html (412 words)

	Prize specimens
		Alex and Oliver submitted their tiling on May 15th, but had to wait until September before they knew that it was the first.
		The puzzle's inventor, Christopher Monckton, had created the puzzle by starting with a much larger set of pieces, and fitting them into the grid until it was full.
		The position that remains consists of two things: the region that has yet to be tiled, whose size is that of 24 pieces - note that all the pieces have the same area - and the particular 24 pieces still available.
	plus.maths.org /issue13/features/eternity/index.html (3787 words)

	Puzzle (Site not responding. Last check: 2007-11-03)
		Puzzles are very stimulating to a person's brain, especially Puzzles designed for the early childhood.
		If you have any Puzzle related articles, or thoughts that you think other concerned parents might find interesting about Puzzle, please post it at our comments/suggestions form page.
		The aim of the puzzle is to enter a numerical digit from 1 through 9 in each cell of a 9×9 grid made up of 3×3 subgrids (called "regions"), starting with various digits given in some cells (the "givens").
	www.ourkidslearnonline.com /Puzzle.html (680 words)

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