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The | [[Image:Tetravex.png|thumb|Tetravex running on Ubuntu]] | ||
'''TetraVex''' is a [[puzzle video game|puzzle computer game]], available for [[Microsoft Windows|Windows]] and [[Linux]] systems. | |||
== Gameplay == | |||
TetraVex is an [[edge-matching puzzle]]. The player is presented with a grid (by default, 3x3) and nine square tiles, each with a number on each edge. The objective of the game is to place the tiles in the grid in the proper position as fast as possible. Two tiles can only be placed next to each other if the numbers on adjacent faces match. | |||
== Availability == | |||
TetraVex was originally available for Windows in [[Windows Entertainment Pack 3]]. It was later re-released as part of the [[Best of Windows Entertainment Pack]]. | |||
TetraVex is also available as an open source game on the [[GNOME]] desktop as part of the [[GNOME Games]] collection under [[GNU GPL]].<ref>{{cite web |title=License - README |work=gnome-games |publisher=gnome.org |year=2011 |url=http://git.gnome.org/browse/gnome-games/tree/README |accessdate=2012-10-02}}</ref> | |||
== Origins == | |||
[[File:Fullscore5-1.png|thumb|Solved Tetravex with Blibbet]] | |||
The original version of TetraVex (for the [[Windows Entertainment Pack 3]]) was written (and named) by Scott Ferguson who was also the Development Lead and an architect of the first version of Visual Basic.<ref>{{cite web |url=http://www.forestmoon.com/BIRTHofVB/BIRTHofVB.html |title=The Birth of Visual Basic |publisher=Forestmoon.com |date= |accessdate=2010-05-11}}</ref> TetraVex was inspired by "the problem of tiling the plane" as described by [[Donald Knuth]] on page 382 of ''Volume 1: Fundamental Algorithms'', the first book in his [[The Art of Computer Programming]] series. | |||
In the TetraVex version for Windows, the Microsoft ''[[Microsoft#Logo|Blibbet]]'' logo is displayed if the player solves a 6 by 6 puzzle as seen in the image to the right. | |||
The tiles are also known as McMahon Squares, named for [[Percy Alexander MacMahon|Percy McMahon]] who explored their possibilities in the 1920s.<ref>{{cite web|url=http://www.daviddarling.info/encyclopedia/M/MacMahon_squares.html |title=MacMahon squares |publisher=Daviddarling.info |date=2007-02-01 |accessdate=2010-07-30}}</ref> | |||
== Counting the possible number of TetraVex == | |||
On a <math>n\times{}n</math> board there are <math>n(n-1)</math> horizontal and vertical pairs that must match and <math>4n</math> numbers along the edges that can be chosen arbitrarily. Hence there are <math>2n(n-1)+4n=2n(n+1)</math> choices of 10 digits, i.e. <math>10^{2n(n+1)}</math> possible boards. Deciding if a TetraVex puzzle has a solution is | |||
in general [[NP-complete]].<ref>{{cite web |url=http://dx.doi.org/10.1016/j.ipl.2006.04.010 | title=TetraVex is NP-complete |publisher=Information Processing Letters, Volume 99, Issue 5, Pages 171–174 |date= 15 September 2006}}</ref> | |||
== See also == | |||
* [[Eternity II]] | |||
== References == | |||
{{reflist}} | |||
{{DEFAULTSORT:Tetravex}} | |||
[[Category:Windows games]] | |||
[[Category:Microsoft Entertainment Pack]] | |||
[[Category:Puzzle video games]] | |||
[[Category:Linux games]] | |||
Revision as of 19:54, 18 June 2013
TetraVex is a puzzle computer game, available for Windows and Linux systems.
Gameplay
TetraVex is an edge-matching puzzle. The player is presented with a grid (by default, 3x3) and nine square tiles, each with a number on each edge. The objective of the game is to place the tiles in the grid in the proper position as fast as possible. Two tiles can only be placed next to each other if the numbers on adjacent faces match.
Availability
TetraVex was originally available for Windows in Windows Entertainment Pack 3. It was later re-released as part of the Best of Windows Entertainment Pack.
TetraVex is also available as an open source game on the GNOME desktop as part of the GNOME Games collection under GNU GPL.[1]
Origins
The original version of TetraVex (for the Windows Entertainment Pack 3) was written (and named) by Scott Ferguson who was also the Development Lead and an architect of the first version of Visual Basic.[2] TetraVex was inspired by "the problem of tiling the plane" as described by Donald Knuth on page 382 of Volume 1: Fundamental Algorithms, the first book in his The Art of Computer Programming series.
In the TetraVex version for Windows, the Microsoft Blibbet logo is displayed if the player solves a 6 by 6 puzzle as seen in the image to the right.
The tiles are also known as McMahon Squares, named for Percy McMahon who explored their possibilities in the 1920s.[3]
Counting the possible number of TetraVex
On a board there are horizontal and vertical pairs that must match and numbers along the edges that can be chosen arbitrarily. Hence there are choices of 10 digits, i.e. possible boards. Deciding if a TetraVex puzzle has a solution is in general NP-complete.[4]
See also
References
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