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Eternity II Puzzle
The Eternity II puzzle (abbreviated E2 or E II) is an edge-matching puzzle launched on 28 July 2007. It was developed by Christopher Monckton and marketed and copyrighted by TOMY UK Ltd as a successor to the original Eternity puzzle. The puzzle was part of a competition in which a $2 million prize was offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Description The Eternity II puzzle is an edge-matching puzzle which involves placing 256 square puzzle pieces into a 16 × 16 grid, constrained by the requirement to match adjacent edges. It has been designed to be difficult to solve by brute-force computer search. Each puzzle piece has its edges on one side marked with different shape/colour combinations (collectively called "colours" here), each of which must match precisely with its neighbouring side on each adjacent piece when the puzzle is complete. The other side of each piece is blank apart from an iden ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eternity II 1
Eternity, in common parlance, means infinite time that never ends or the quality, condition, or fact of being everlasting or eternal. Classical philosophy, however, defines eternity as what is timeless or exists outside time, whereas sempiternity corresponds to infinite duration. Philosophy Classical philosophy defines eternity as what exists outside time, as in describing timeless supernatural beings and forces, distinguished from sempiternity which corresponds to infinite time, as described in requiem prayers for the dead. Some thinkers, such as Aristotle, suggest the eternity of the natural cosmos in regard to both past and future eternal duration. Boethius defined eternity as "simultaneously full and perfect possession of interminable life". Thomas Aquinas believed that God's eternity does not cease, as it is without either a beginning or an end; the concept of eternity is of divine simplicity, thus incapable of being defined or fully understood by humankind. Thomas H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NP-complete
In computational complexity theory, a problem is NP-complete when: # it is a problem for which the correctness of each solution can be verified quickly (namely, in polynomial time) and a brute-force search algorithm can find a solution by trying all possible solutions. # the problem can be used to simulate every other problem for which we can verify quickly that a solution is correct. In this sense, NP-complete problems are the hardest of the problems to which solutions can be verified quickly. If we could find solutions of some NP-complete problem quickly, we could quickly find the solutions of every other problem to which a given solution can be easily verified. The name "NP-complete" is short for "nondeterministic polynomial-time complete". In this name, "nondeterministic" refers to nondeterministic Turing machines, a way of mathematically formalizing the idea of a brute-force search algorithm. Polynomial time refers to an amount of time that is considered "quick" for a det ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tiling Puzzles
Tiling may refer to: *The physical act of laying tiles *Tessellations Computing *The compiler optimization of loop tiling *Tiled rendering, the process of subdividing an image by regular grid *Tiling window manager People *Heinrich Sylvester Theodor Tiling (1818–1871), physician and botanist *Reinhold Tiling (1893–1933), German rocket pioneer Other uses *Neuronal tiling *Tile drainage, an agriculture practice that removes excess water from soil *Tiling (crater), a small, undistinguished crater on the far side of the Moon See also *Brickwork *Packing (other) Packing may refer to: Law and politics * Jury packing, selecting biased jurors for a court case * Packing and cracking, a method of creating voting districts to give a political party an advantage Other uses * Packing (firestopping), the proces ... * Tiling puzzle {{disambiguation, surname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NP-completeness
In computational complexity theory, a problem is NP-complete when: # it is a problem for which the correctness of each solution can be verified quickly (namely, in polynomial time) and a brute-force search algorithm can find a solution by trying all possible solutions. # the problem can be used to simulate every other problem for which we can verify quickly that a solution is correct. In this sense, NP-complete problems are the hardest of the problems to which solutions can be verified quickly. If we could find solutions of some NP-complete problem quickly, we could quickly find the solutions of every other problem to which a given solution can be easily verified. The name "NP-complete" is short for "nondeterministic polynomial-time complete". In this name, "nondeterministic" refers to nondeterministic Turing machines, a way of mathematically formalizing the idea of a brute-force search algorithm. Polynomial time refers to an amount of time that is considered "quick" for a det ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Microsoft Entertainment Pack
''Microsoft Entertainment Pack'' , also known as ''Windows Entertainment Pack'' or simply ''WEP'' , is a collection of 16-bit casual computer games for Windows. There were four Entertainment Packs released between 1990 and 1992. These games were somewhat unusual for the time, in that they would not run under MS-DOS. In 1994, a compilation of the previous four ''Entertainment Packs'' were released called ''The Best of Microsoft Entertainment Pack''. A Game Boy Color version was released in 2000. Microsoft advertised Entertainment Packs for casual gaming on office computers. The boxes had slogans like "No more boring coffee breaks" and "Only a few minutes between meetings? Get in a quick game of Klotski". The marketing succeeded; ''Computer Gaming World'' in 1992 described the series as "the Gorillas of the Gaming Lite Jungle", with more than 500,000 copies sold. '' Minesweeper'' from pack 1 was later bundled with Windows 3.1, and FreeCell was included in Windows 95. ''Wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
TetraVex
An edge-matching puzzle is a type of tiling puzzle involving tiling an area with (typically regular) polygons whose edges are distinguished with colours or patterns, in such a way that the edges of adjacent tiles match. Edge-matching puzzles are known to be NP-complete, and capable of conversion to and from equivalent jigsaw puzzles and polyomino packing puzzle. The first edge-matching puzzles were patented in the U.S. by E. L. Thurston in 1892. Current examples of commercial edge-matching puzzles include the Eternity II puzzle, Tantrix, Kadon Enterprises' range of edge-matching puzzles, and the Edge Match Puzzles iPhone app. Notable variations MacMahon Squares MacMahon Squares is the name given to a recreational math puzzle suggested by British mathematician Percy MacMahon, who published a treatise on edge-colouring of a variety of shapes in 1921. This particular puzzle uses 24 tiles consisting of all permutations of 3 colors for the edges of a square. The tiles must be arran ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin Demaine
Martin L. (Marty) Demaine (born 1942) is an artist and mathematician, the Angelika and Barton Weller artist in residence at the Massachusetts Institute of Technology (MIT). Demaine attended Medford High School in Medford, Massachusetts. After studying glassblowing in England, he began his artistic career by blowing art glass in New Brunswick in the early 1970s."Fluency", past exhibitions , Andrew and Laura McCain Art Gallery, Florenceville, New Brunswick, Canada, retrieved 2009-08-22. The Demaine Studio, located in Miramichi Bay and later at Opus Village in Mactaquac, was the first one-man glass studio in Canada, part ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Erik Demaine
Erik D. Demaine (born February 28, 1981) is a professor of computer science at the Massachusetts Institute of Technology and a former child prodigy. Early life and education Demaine was born in Halifax, Nova Scotia, to artist sculptor Martin L. Demaine and Judy Anderson. From the age of 7, he was identified as a child prodigy and spent time traveling across North America with his father. He was home-schooled during that time span until entering university at the age of 12. Demaine completed his bachelor's degree at 14 years of age at Dalhousie University in Canada, and completed his PhD at the University of Waterloo by the time he was 20 years old. Demaine's PhD dissertation, a work in the field of computational origami, was completed at the University of Waterloo under the supervision of Anna Lubiw and Ian Munro. This work was awarded the Canadian Governor General's Gold Medal from the University of Waterloo and the NSERC Doctoral Prize (2003) for the best PhD thesis an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oliver Riordan
The Eternity puzzle is a tiling puzzle created by Christopher Monckton and launched by the Ertl Company in June 1999. It was marketed as being practically unsolvable, with a £1 million prize on offer for whoever could solve it within four years. The prize was paid out in October 2000 for a winning solution arrived at by two mathematicians from Cambridge. A follow-up prize puzzle called Eternity II was launched in 2007. Description The puzzle's scope was to fill a large equiangular (but not equilateral) dodecagon board with 209 puzzle pieces. The board is equipped with a triangular grid made of equilateral triangles. Its sides alternate in length: six sides coincide with the grid and are 7 triangles (placed edge-to-edge) long, while the other sides are slightly shorter and measure 8 triangles base-to-tip, which equals 4\sqrt \approx 6.9 edge lengths. Each puzzle piece is a 12-polydrafter (dodecadrafter) made of twelve 30-60-90 triangles (that is, a continuous compound of tw ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edge-matching Puzzle
An edge-matching puzzle is a type of tiling puzzle involving tiling an area with (typically regular) polygons whose edges are distinguished with colours or patterns, in such a way that the edges of adjacent tiles match. Edge-matching puzzles are known to be NP-complete, and capable of conversion to and from equivalent jigsaw puzzles and polyomino packing puzzle. The first edge-matching puzzles were patented in the U.S. by E. L. Thurston in 1892. Current examples of commercial edge-matching puzzles include the Eternity II puzzle, Tantrix, Kadon Enterprises' range of edge-matching puzzles, and the Edge Match Puzzles iPhone app. Notable variations MacMahon Squares MacMahon Squares is the name given to a recreational math puzzle suggested by British mathematician Percy MacMahon, who published a treatise on edge-colouring of a variety of shapes in 1921. This particular puzzle uses 24 tiles consisting of all permutations of 3 colors for the edges of a square. The tiles must be arra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alex Selby
The Eternity puzzle is a tiling puzzle created by Christopher Monckton and launched by the Ertl Company in June 1999. It was marketed as being practically unsolvable, with a £1 million prize on offer for whoever could solve it within four years. The prize was paid out in October 2000 for a winning solution arrived at by two mathematicians from Cambridge. A follow-up prize puzzle called Eternity II was launched in 2007. Description The puzzle's scope was to fill a large equiangular (but not equilateral) dodecagon board with 209 puzzle pieces. The board is equipped with a triangular grid made of equilateral triangles. Its sides alternate in length: six sides coincide with the grid and are 7 triangles (placed edge-to-edge) long, while the other sides are slightly shorter and measure 8 triangles base-to-tip, which equals 4\sqrt \approx 6.9 edge lengths. Each puzzle piece is a 12-polydrafter (dodecadrafter) made of twelve 30-60-90 triangles (that is, a continuous compound of tw ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tiling Puzzle
Tiling puzzles are puzzles involving two-dimensional packing problems in which a number of flat shapes 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. Other tiling puzzles ask you to dissect a given shape while fulfilling certain conditions. The two latter types of tiling puzzles are also called dissection puzzles. Tiling puzzles may be made from wood, metal, cardboard, plastic or any other sheet-material. Many tiling puzzles are now available as computer games. Tiling puzzles have a long history. Some of the oldest and most famous are jigsaw puzzles and the tangram puzzle. Other examples of tiling puzzles include: * Conway puzzle * Domino tiling, of which the mutilated chessboard problem is one example * Eternity puzzle * Geometric magic square * Puzz-3D * Squaring the square * Tantrix * T puzzle Many three-dimensiona ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
