text:
Lego Harry Potter: Years 1–4
From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Lego Harry Potter: Years 1–4
Developer(s)
Traveller's Tales
TT Fusion (mobile/handheld)
Publisher(s)
Warner Bros. Interactive Entertainment
Feral Interactive (OS X)
Director(s)
Jon Burton
Producer(s)
John O'Brien
Designer(s)
Arthur Parsons
Jon Burton
Programmer(s)
John Hodskinson
Artist(s)
James Cunliffe
Leon Warren
Composer(s)
John Williams
Patrick Doyle
Series
Lego Harry Potter
Platform(s)
iOS
Android
OS X
Microsoft Windows
Nintendo DS
Wii
PlayStation 3
PlayStation 4
PlayStation Portable
Xbox 360
Release
NA: 29 June 2010
EU: 25 June 2010
AU: 30 June 2010
OS X
WW: 22 February 2011
PlayStation 4
WW: 21 October 2016
Genre(s)
Action-adventure
Mode(s)
Single-player, multiplayer
Lego Harry Potter: Years 1–4 is a Lego-themed action-adventure video game developed by Traveller's Tales and published by Warner Bros.[1][2] The game is based on the Lego Harry Potter line and its storyline covers the first four films in the Harry Potter series: Harry Potter and the Philosopher's Stone, Harry Potter and the Chamber of Secrets, Harry Potter and the Prisoner of Azkaban, and Harry Potter and the Goblet of Fire.
The game is available on the Wii, Xbox 360, PlayStation 3, Nintendo DS, PlayStation Portable, Microsoft Windows, OS X, iOS and Android. The OS X version of the game was released on 22 February 2011 by Feral Interactive.[1][3] The game was released for the PlayStation 4 on 21 October 2016, as part of the Lego Harry Potter Collection, which bundles the game with its sequel, Lego Harry Potter: Years 5–7.[4] Other versions of the game were released on 29 June 2010 in North America, 25 June 2010 in Europe, and 30 June 2010 in Australia.
The game received positive reviews from critics, with reviewers citing the game as being one of the better Harry Potter games.
Contents
1 Gameplay
1.1 Multiplayer mode
1.2 Changes for the Nintendo DS, PSP, and iOS versions
2 Development
3 Reception
4 Sequel
5 References
6 External links
Gameplay[edit]
Lego Harry Potter's gameplay is similar to that of most previous Lego video games, with an emphasis on collecting, exploring, and solving puzzles. Casting spells is an integral part of the gameplay, with a wide range of spells available for unlocking as the player progresses. As there are many spells available in the game, the player can use the spell wheel to select the spell. Potion-making is another integral feature; potions can help the player complete levels or, if created incorrectly, have adverse side effects such as turning the player into a frog.[5]
Changes to the mechanics of previous games include 'Student in Peril' missions, which are a group of challenges to help a student, and Polyjuice Potion, which allows players to temporarily change one of the player's characters into any other mini-figure unlocked.[6] A major change is to the hub system. The Leaky Cauldron works as a central hub for purchasing unlockable extras and returning to previous levels, while Hogwarts acts as a constantly evolving massive hub with the unlockable characters found by picking up their hidden portraits.[7] [8]
The bigger areas in Hogwarts have led developer Traveller's Tales to improve the overall level design. Also included is another bonus level that allows players to customize the level similar to Lego Indiana Jones 2: The Adventure Continues. If the player is lost in-game, they can follow a trail of Ghost Studs to the next level. These do not count towards the stud total, but will guide the player to the next section of the level. However one of the collectible 'red bricks', found in the courtyard next to Herbology, gets the player an 'extra' that makes the ghost studs worth 1,000 each.[9][10]
The central hub is Diagon Alley and its entrance through the Leaky Cauldron. Players can access a room at the second floor of the building to watch videos from the game, as well as using a notice board with pictures from where the player can play completed levels again.[11] Diagon Alley serves as a series of stores where the player is able to buy characters or change a number of customizable ones, spells, and bricks that have a varying range of uses, such as changing the player's wand to a carrot, or making the player invincible.[12] Players are also able to visit Gringotts or Borgin and Burkes in order to play extra levels. There are 167 characters purchasable in the game.[13]
The game covers a wide range of characters of the first four parts, from notable ones like Albus Dumbledore, and Severus Snape, to others like Viktor Krum in shark form or the Trolley Witch from the Hogwarts Express.[14]
The storyline is substantially unaltered from the movies, with slight changes to allow consistent two-player mode throughout the game.
Multiplayer mode[edit]
The game employs the two player split-screen technique introduced in Lego Indiana Jones 2: The Adventure Continues. There is also online support for PlayStation 3 and Xbox 360. The plotline of the game differs from that of the books and films several times in order to have at least two characters in each level. For example, Hermione (accidentally) joins Harry during the first task of the Triwizard Tournament,[15] which was unlike both the book and the film, where Harry fights the dragon alone. Another example is in the final boss fight with Voldemort. Cedric is there to help and dies when trying to escape in the last cutscene despite the fact that Cedric is killed before Voldemort's reincarnation in both the book and movie.
Changes for the Nintendo DS, PSP, and iOS versions[edit]
In the Nintendo DS, PSP, and iOS versions, several changes were made from the versions of the other formats. There is only one hub, the Room of Requirement, but the explorable Hogwarts and Diagon Alley hubs of the other versions were removed and both boss battles and spellcasting were simplified. Also, unlike all previous Travelers Tales Lego video games, the Nintendo DS, PSP and iOS versions have written sentences. In other Lego video games before 2012, the Lego figures only grunted to each other.[16] The DS version uses touchscreen controls to perform spells, and is a downscaled port of the PSP version.[17]
Development[edit]
Hogsmeade village in the game.
News of the game's existence was leaked in March 2009,[18] although rumours had been circulating since late 2008.[19] Warner Bros. officially confirmed the game in June 2009 with an estimated release of 2010.[20][21][22]
A teaser trailer was released on the day of the game's official announcement[23][24] followed by four individually released vignettes, beginning in December 2009. Each vignette focussed on one of the first four years featured in the game.[25][26][27][28] A new trailer was released to coincide with the game's launch.[29] All six trailers are available on the official website.[22][30] A demo of the game was made available to download from PlayStation Network, Xbox Live and PC in June 2010.
Reception[edit]
Reception
Aggregate scores
Aggregator
Score
GameRankings 81.45%[31]
Metacritic 80/100[32]
Review scores
Publication
Score
1UP.com B+[33]
Game Revolution B-[34]
GameSpot 8/10[35]
IGN 8.5/10[36]
ONM 80%[37]
VideoGamer.com 8/10[38]
The game received generally positive reviews. Video Game review aggregator website GameRankings scored the game at 81%, with media review aggregator website Metacritic scoring slightly lower at 80%.[31][32] The Official Nintendo Magazine gave the Wii and Nintendo DS version 80%, saying that it was "one of the best Harry Potter games ever", however it lacked originality compared to previous Lego video games.[37] GameSpot gave the console versions an 8/10, complementing the "large amount of secrets and charm", and disagreed with the Nintendo Magazine, saying it was both "easily the best Harry Potter game to date", and "one of the finest Lego adventures to date".[35]
IGN praised the game giving it an 8.5 out of 10, complementing the new additions to the game, while the PSP version of the game received a 7.0.[36] Greg Miller from IGN said the game had a "general sense of a great LEGO game paired with a great series really makes this game a standout."[36] IGN editor Nicole Tanner awarded it "Best Mindless Fun", at the publisher's "favorite games of 2010 list".[39]
Sequel[edit]
A sequel, covering the stories of the final three books and four movies in the series, Lego Harry Potter: Years 5–7, was released in 2011 by Warner Bros.[40]
References[edit]
^ Jump up to: a b "LEGO.com Video Game: Harry Potter Home". Videogames.lego.com. Archived from the original on 4 July 2012. Retrieved 30 October 2017.
Jump up ^ "LEGO Harry Potter coming soon!". Traveller's Tales. 26 April 2010. Archived from the original on 30 September 2011. Retrieved 8 July 2010.
Jump up ^ "Feral Interactive: LEGO Harry Potter Years 1-4". Feralinteractive.com. Archived from the original on 4 May 2012. Retrieved 30 October 2017.
Jump up ^ Phillips, Tom (8 September 2016). "Lego Harry Potter gets PlayStation 4 remaster". Eurogamer. Archived from the original on 9 September 2016. Retrieved 8 September 2016.
Jump up ^ Marchiafava, Jeff (December 2009). "Traveller's Tales spills the beans on the boy wizard's latest adventure". Game Informer. No. 201. pp. 60–61.
Jump up ^ Blum, Matt (1 July 2010). "Review: Lego Harry Potter Video Game Has the Movie Magic, Plus Silliness". Wired. Archived from the original on 2 July 2010. Retrieved 8 July 2010.
Jump up ^ "Archived copy". Archived from the original on 13 July 2010. Retrieved 30 June 2010.
Jump up ^ "UK Q&A: LEGO Harry Potter: Years 1-4". Blog.usplaystation.com. Archived from the original on 7 October 2017. Retrieved 30 October 2017.
Jump up ^ Ferry (25 June 2010). "Lego Harry Potter Walkthrough Videos". VideoGamesBlogger.com. Archived from the original on 28 June 2010. Retrieved 25 June 2010.
Jump up ^ "LEGO Harry Potter Wiki Guide". Guides.ign.com. Archived from the original on 14 April 2012. Retrieved 30 October 2017.
Jump up ^ "LEGO Harry Potter Wiki Guide". Guides.ign.com. Archived from the original on 2 October 2012. Retrieved 30 October 2017.
Jump up ^ "LEGO Harry Potter Wiki Guide - IGN". Guides.ign.com. Archived from the original on 2 October 2012. Retrieved 30 October 2017.
Jump up ^ Poindexter, Dave. "LEGO Harry Potter: Years 1-4 - Character List & Map Node Interconnections". Faqs.ign.com. Archived from the original on 6 January 2012. Retrieved 30 October 2017.
Jump up ^ "LEGO Harry Potter Wiki Guide - IGN". Guides.ign.com. Archived from the original on 2 October 2012. Retrieved 30 October 2017.
Jump up ^ "LEGO Harry Potter Wiki Guide - IGN". Guides.ign.com. Archived from the original on 2 October 2012. Retrieved 30 October 2017.
Jump up ^ "LEGO Harry Potter PSP Review". Uk.psp.ign.com. 2 July 2010. Archived from the original on 31 August 2011. Retrieved 14 May 2011.
Jump up ^ "LEGO Harry Potter DS Review". Uk.ds.ign.com. 2 July 2010. Archived from the original on 31 August 2011. Retrieved 14 May 2011.
Jump up ^ Martin, Liam (14 March 2009). "'Lego Harry Potter' inadvertently confirmed". Digital Spy. Archived from the original on 10 June 2011. Retrieved 8 July 2010.
Jump up ^ Martin, Liam (1 December 2008). "Harry Potter to receive Lego makeover?". Digital Spy. Archived from the original on 4 December 2008. Retrieved 8 July 2010.
Jump up ^ Purchese, Robert (1 June 2009). "Warner confirms LEGO Harry Potter". Eurogamer. Archived from the original on 14 April 2012. Retrieved 8 July 2010.
Jump up ^ "LEGO Harry Potter: Years 1 - 4 "Spellbinding" Behind-the-Scenes Video". Youtube.com. Archived from the original on 5 March 2016. Retrieved 30 October 2017.
^ Jump up to: a b "Behind the Magic of the LEGO Harry Potter Video Game!". Club1.lego.com. Archived from the original on 16 March 2012. Retrieved 30 October 2017.
Jump up ^ Ishimoto, Moye (1 June 2009). "LEGO Harry Potter E3 Trailer". G4tv. Archived from the original on 14 April 2012. Retrieved 8 July 2010.
Jump up ^ "Teaser Trailer". Gametrailers.com. Archived from the original on 3 June 2012. Retrieved 30 October 2017.
Jump up ^ "Year 1 Trailer". Youtube.com. Archived from the original on 22 April 2016. Retrieved 30 October 2017.
Jump up ^ "Year 2 Trailer". Youtube.com. Archived from the original on 12 April 2016. Retrieved 30 October 2017.
Jump up ^ "Year 3 Trailer". Youtube.com. Archived from the original on 28 April 2016. Retrieved 30 October 2017.
Jump up ^ "Year 4 Trailer". Youtube.com. Archived from the original on 20 July 2017. Retrieved 30 October 2017.
Jump up ^ "Launch Trailer". Youtube.com. Archived from the original on 18 April 2016. Retrieved 30 October 2017.
Jump up ^ "Lego Harry Potter takes off with launch trailer". Techcentral.my. Archived from the original on 28 June 2010. Retrieved 30 October 2017.
^ Jump up to: a b "LEGO Harry Potter: Years 1-4". GameRankings. Archived from the original on 11 July 2010. Retrieved 8 July 2010.
^ Jump up to: a b "LEGO Harry Potter: Years 1-4". Metacritic. Archived from the original on 2 July 2010. Retrieved 8 July 2010.
Jump up ^ Liang, Alice (28 June 2010). "LEGO Harry Potter: Years 1-4 (PS3)". 1UP.com. Archived from the original on 10 January 2013. Retrieved 5 July 2010.
Jump up ^ "Lego Harry Potter: Years 1-4 - PS3". Game Revolution. 1 July 2010. Retrieved 5 July 2010.
^ Jump up to: a b VanOrd, Kevin (25 June 2010). "LEGO Harry Potter: Years 1-4 Review". GameSpot. Archived from the original on 6 July 2010. Retrieved 5 July 2010.
^ Jump up to: a b c Miller, Greg (28 June 2010). "LEGO Harry Potter: Years 1-4 Review". Ps3.ign.com. Archived from the original on 2 July 2010. Retrieved 5 July 2010.
^ Jump up to: a b Scullion, Chris (27 June 2010). "LEGO Harry Potter: Years 1-4 Wii review". Official Nintendo Magazine. Archived from the original on 30 June 2010. Retrieved 8 July 2010.
Jump up ^ Ford, Seb (6 July 2010). "LEGO Harry Potter: Years 1-4 Review". VideoGamer.com. Archived from the original on 26 September 2012. Retrieved 6 July 2010.
Jump up ^ "Our Favorite Games of 2010 (So Far) - Wii Feature at IGN". Wii.ign.com. 5 August 2010. Archived from the original on 17 August 2010. Retrieved 9 August 2010.
Jump up ^ "Archived copy". Archived from the original on 7 August 2011. Retrieved 19 May 2011.
External links[edit]
Official site
show
v
t
e
Lego video games
Island
Island
2: The Brickster's Revenge
Xtreme Stunts
Creator
Creator
Knights' Kingdom
Racers
Racers
2
Drome Racers
Bionicle
Bionicle
Matoran Adventures
The Game
Maze of Shadows
Heroes
Battles
Battles
Ninjago
City
Undercover
The Chase Begins
Legends of Chima
Laval's Journey
Online
Other games
Chess
Loco
Rock Raiders
Legoland
Alpha Team
Stunt Rally
Football Mania
Knights' Kingdom
Universe
Minifigures Online
Worlds
Licensed games
Star Wars
The Video Game
II: The Original Trilogy
The Complete Saga
III: The Clone Wars
The Force Awakens
Indiana Jones
The Original Adventures
2: The Adventure Continues
DC
Batman: The Videogame
Batman 2: DC Super Heroes
Batman 3: Beyond Gotham
Super-Villains
Harry Potter
Years 1-4
Years 5-7
Middle-earth
The Lord of the Rings
The Hobbit
Marvel
Super Heroes
Avengers
Super Heroes 2
Disney/Pixar
Pirates of the Caribbean
The Incredibles
Other games
Rock Band
songs
The Lego Movie
Jurassic World
Dimensions
The Lego Ninjago Movie
show
v
t
e
The Harry Potter series by J. K. Rowling
Novels
The Philosopher's Stone (1997)
The Chamber of Secrets (1998)
The Prisoner of Azkaban (1999)
The Goblet of Fire (2000)
The Order of the Phoenix (2003)
The Half-Blood Prince (2005)
The Deathly Hallows (2007)
Film series
Films
The Philosopher's Stone (2001)
The Chamber of Secrets (2002)
The Prisoner of Azkaban (2004)
The Goblet of Fire (2005)
The Order of the Phoenix (2007)
The Half-Blood Prince (2009)
The Deathly Hallows – Part 1 (2010)
The Deathly Hallows – Part 2 (2011)
Music
The Philosopher's Stone
The Chamber of Secrets
The Prisoner of Azkaban
The Goblet of Fire
The Order of the Phoenix
The Half-Blood Prince
The Deathly Hallows – Part 1
The Deathly Hallows – Part 2
Related
Cast members
Production of The Deathly Hallows
Characters
Main
Harry Potter
Ron Weasley
Hermione Granger
Lord Voldemort
Albus Dumbledore
Severus Snape
Rubeus Hagrid
Draco Malfoy
Ginny Weasley
Supporting
Hogwarts staff
Order of the Phoenix
Dumbledore's Army
Death Eaters
Fictional
universe
Hogwarts
Magic
Magical creatures
Magical objects
Ministry of Magic
Muggle
Places
Potions
Quidditch
Related
works
Fantastic Beasts and Where to Find Them
Quidditch Through the Ages
The Tales of Beedle the Bard
Prequel
Pottermore
The Cursed Child
Hogwarts: An Incomplete and Unreliable Guide
Short Stories from Hogwarts of Power, Politics and Pesky Poltergeists
Short Stories from Hogwarts of Heroism, Hardship and Dangerous Hobbies
Games
and toys
Quidditch World Cup
Lego Harry Potter: Years 1–4
Lego Harry Potter: Years 5–7
Lego Creator: Harry Potter
Creator: Harry Potter and the Chamber of Secrets
The Philosopher's Stone
The Chamber of Secrets
The Prisoner of Azkaban
The Goblet of Fire
The Order of the Phoenix
The Half-Blood Prince
The Deathly Hallows – Part 1
The Deathly Hallows – Part 2
Book of Spells
Book of Potions
Trading Card Game
Hogwarts Mystery
Wizards Unite
Attractions
The Wizarding World of Harry Potter
Orlando
Japan
Hollywood
Dragon Challenge
Flight of the Hippogriff
Harry Potter and the Escape from Gringotts
Harry Potter and the Forbidden Journey
Hogwarts Express
Harry Potter Movie Magic Experience
Exhibitions
Harry Potter: The Exhibition
Harry Potter: A History of Magic
Warner Bros. Studio Tour London – The Making of Harry Potter
Fandom
Harry Potter Alliance
The Leaky Cauldron
MuggleNet
LeakyCon
Wizard rock
Wrockstock
The Methods of Rationality
My Immortal
Severus Snape and the Marauders
Voldemort: Origins of the Heir
Related
Wizarding World
Influences and analogues
Legal disputes
Parodies
Politics
Religious debates
Translation
A Very Potter Musical
The Harry Potter Lexicon
The Magical Worlds of Harry Potter
Potter Puppet Pals
Portkey Games
List of organisms named after the Harry Potter series
Book
Category
Portal
‹ The template below (Wizarding World) is being considered for deletion. See templates for discussion to help reach a consensus. ›
show
v
t
e
Wizarding World
Feature films
Harry Potter
The Philosopher's Stone
The Chamber of Secrets
The Prisoner of Azkaban
The Goblet of Fire
The Order of the Phoenix
The Half-Blood Prince
The Deathly Hallows – Part 1
production
The Deathly Hallows – Part 2
production
Fantastic Beasts
Fantastic Beasts and Where to Find Them
The Crimes of Grindelwald
Stage play
The Cursed Child
Music
The Philosopher's Stone
The Chamber of Secrets
The Prisoner of Azkaban
The Goblet of Fire
The Order of the Phoenix
The Half-Blood Prince
The Deathly Hallows – Part 1
The Deathly Hallows – Part 2
Fantastic Beasts and Where to Find Them
Outside media
Video games
The Philosopher's Stone
The Chamber of Secrets
Quidditch World Cup
The Prisoner of Azkaban
The Goblet of Fire
The Order of the Phoenix
The Half-Blood Prince
Lego Harry Potter: Years 1–4
The Deathly Hallows – Part 1
The Deathly Hallows – Part 2
Lego Harry Potter: Years 5–7
Book of Spells
Book of Potions
Harry Potter: Hogwarts Mystery
Harry Potter: Wizards Unite
Attractions
The Wizarding World of Harry Potter
Orlando
Japan
Hollywood
Digital publication
Pottermore
See also
Harry Potter cast
Music of the Harry Potter films
Harry Potter book series
Fantastic Beasts and Where to Find Them book
Portkey Games
Book
Category
Retrieved from "https://en.wikipedia.org/w/index.php?title=Lego_Harry_Potter:_Years_1–4&oldid=855646641"
Categories:
2010 video games
Cancelled PlayStation 2 games
Games for Windows certified games
Harry Potter video games
IOS games
Lego video games
MacOS games
Action-adventure games
Nintendo DS games
PlayStation 3 games
PlayStation 4 games
PlayStation Portable games
Traveller's Tales games
Warner Bros. Interactive Entertainment games
Wii games
Windows games
Xbox 360 games
Video games developed in the United Kingdom
Multiplayer and single-player video games
Split-screen multiplayer games
Feral Interactive games
PlayStation 4 Pro enhanced games
Hidden categories:
Use dmy dates from March 2016
Articles using Infobox video game using locally defined parameters
Articles using Wikidata infoboxes with locally defined images
Articles using Video game reviews template in single platform mode
Navigation menu
Personal tools
Not logged in
Talk
Contributions
Create account
Log in
Namespaces
Article
Talk
Variants
Views
Read
Edit
View history
More
Search
Navigation
Main page
Contents
Featured content
Current events
Random article
Donate to Wikipedia
Wikipedia store
Interaction
Help
About Wikipedia
Community portal
Recent changes
Contact page
Tools
What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Wikidata item
Cite this page
Print/export
Create a book
Download as PDF
Printable version
Languages
Dansk
Español
Français
한국어
Italiano
Nederlands
Norsk
Norsk nynorsk
Polski
Português
Русский
Suomi
Svenska
Українська
5 more
Edit links
This page was last edited on 19 August 2018, at 21:04 (UTC).
Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.
Privacy policy
About Wikipedia
Disclaimers
Contact Wikipedia
Developers
Cookie statement
Mobile view
Enable previews

values: mw-page-base noprint

values: mw-head-base noprint

values: firstHeading firstHeading en

values: siteSub noprint

attrs: class href

values: mw-jump-link #mw-head

values: mw-jump-link #p-search

value: p

value: li

value: ul

values:
/wiki/Video_game_designer
mw-redirect
Video game designer

attrs: alt src width height style srcset data-file-width data-file-height

values: width:22em;float: right; width: 22em; font-size: 90%; text-align: left; border-spacing: 3px;

values: Harry Potter and the Philosopher's Stone (film)

values: Harry Potter and the Chamber of Secrets (film)

values: Harry Potter and the Prisoner of Azkaban (film)

values: Harry Potter and the Goblet of Fire (film)

values: checkbox button toctogglecheckbox toctogglecheckbox display:none

values: Lego Indiana Jones 2: The Adventure Continues

values:
/wiki/Diagon_Alley
mw-redirect
Diagon Alley

values:
/wiki/The_Leaky_Cauldron_(pub)
mw-redirect
The Leaky Cauldron (pub)

values:
/wiki/Borgin_and_Burkes
mw-redirect
Borgin and Burkes

values:
/wiki/Viktor_Krum
mw-redirect
Viktor Krum

values:
/wiki/Hogwarts_Express
mw-redirect
Hogwarts Express

values:
/wiki/Triwizard_Tournament
mw-redirect
Triwizard Tournament

values: Edit section: Changes for the Nintendo DS, PSP, and iOS versions

values: background:transparent;padding:0em;margin:0em 1em 1em 1em;text-align:center;float:right;clear:right;width:23em

values:
nofollow
external text
http://www.ttgames.com/node/206

values:
nofollow
http://guides.ign.com/guides/14329937/
external text

values:
/wiki/Bionicle:_The_Game
mw-redirect
Bionicle: The Game

values: Lego Indiana Jones: The Original Adventures

values: Lego Pirates of the Caribbean: The Video Game

values: nowraplinks collapsible autocollapse navbox-inner mw-collapsible mw-made-collapsible mw-collapsed

values: Harry Potter and the Philosopher's Stone

values: Harry Potter and the Prisoner of Azkaban

values: Harry Potter and the Order of the Phoenix

values: Harry Potter and the Order of the Phoenix (film)

values: Harry Potter and the Half-Blood Prince (film)

values: Harry Potter and the Deathly Hallows – Part 1

values: Harry Potter and the Deathly Hallows – Part 2

values: Harry Potter and the Philosopher's Stone (soundtrack)

values: Harry Potter and the Chamber of Secrets (soundtrack)

values: Harry Potter and the Prisoner of Azkaban (soundtrack)

values: Harry Potter and the Goblet of Fire (soundtrack)

values: Harry Potter and the Order of the Phoenix (soundtrack)

values: Harry Potter and the Half-Blood Prince (soundtrack)

values: Harry Potter and the Deathly Hallows – Part 1 (soundtrack)

values: Harry Potter and the Deathly Hallows – Part 2 (soundtrack)

values: Production of Harry Potter and the Deathly Hallows

values: List of supporting Harry Potter characters

values: Order of the Phoenix (fictional organisation)

values: Hogwarts: An Incomplete and Unreliable Guide

values:
/wiki/Lego_Creator:_Harry_Potter
mw-redirect
Lego Creator: Harry Potter

values: Creator: Harry Potter and the Chamber of Secrets

values: Harry Potter and the Philosopher's Stone (video game)

values: Harry Potter and the Chamber of Secrets (video game)

values: Harry Potter and the Prisoner of Azkaban (video game)

values: Harry Potter and the Goblet of Fire (video game)

values: Harry Potter and the Order of the Phoenix (video game)

values: Harry Potter and the Half-Blood Prince (video game)

values: Harry Potter and the Deathly Hallows – Part 1 (video game)

values: Harry Potter and the Deathly Hallows – Part 2 (video game)

values: The Wizarding World of Harry Potter (Universal Orlando Resort)

values: The Wizarding World of Harry Potter (Universal Studios Japan)

values: The Wizarding World of Harry Potter (Universal Studios Hollywood)

values: Harry Potter and the Escape from Gringotts

values: Hogwarts Express (Universal Orlando Resort)

values: Harry Potter and the Methods of Rationality

values: Legal disputes over the Harry Potter series

values: Religious debates over the Harry Potter series

attrs: alt src title width height srcset data-file-width data-file-height

values: nowraplinks hlist collapsible autocollapse navbox-inner mw-collapsible mw-made-collapsible mw-collapsed

values: Wikipedia:Templates for discussion/Log/2018 August 29

values: background-color: transparent; padding: 0; font-size:x-small; color:#000000; text-align: center; border-bottom:1px solid #AAAAAA;

values: Fantastic Beasts and Where to Find Them (film)

values: Fantastic Beasts: The Crimes of Grindelwald

values: Fantastic Beasts and Where to Find Them (soundtrack)

values: Category:Games for Windows certified games

values: Category:Warner Bros. Interactive Entertainment games

values: Category:Video games developed in the United Kingdom

values: Category:Multiplayer and single-player video games

values: Category:PlayStation 4 Pro enhanced games

values: Category:Articles using Infobox video game using locally defined parameters

values: Category:Articles using Wikidata infoboxes with locally defined images

values: Category:Articles using Video game reviews template in single platform mode

values: Discussion about edits from this IP address [ctrl-alt-n]

values: A list of edits made from this IP address [ctrl-alt-y]

values: You are encouraged to create an account and log in; however, it is not mandatory

values: You're encouraged to log in; however, it's not mandatory. [ctrl-alt-o]

values: Discussion about the content page [ctrl-alt-t]

values: p-namespaces navigation vectorTabs p-namespaces-label

values:
p-variants
navigation
vectorMenu emptyPortlet
p-variants-label

values: Past revisions of this page [ctrl-alt-h]

values: p-views navigation vectorTabs p-views-label

values:
p-cactions
navigation
vectorMenu emptyPortlet
p-cactions-label

values:
mw-wiki-logo
/wiki/Main_Page
Visit the main page

values:
/wiki/Main_Page
Visit the main page [ctrl-alt-z]
z

values: Featured content – the best of Wikipedia

values: Find background information on current events

values:
/wiki/Special:Random
Load a random article [ctrl-alt-x]
x

values: portal navigation p-navigation p-navigation-label

values: Guidance on how to use and edit Wikipedia

values: About the project, what you can do, where to find things

values: A list of recent changes in the wiki [ctrl-alt-r]

values: portal navigation p-interaction p-interaction-label

values: List of all English Wikipedia pages containing links to this page [ctrl-alt-j]

values: Recent changes in pages linked from this page [ctrl-alt-k]

values:
/wiki/Wikipedia:File_Upload_Wizard
Upload files [ctrl-alt-u]
u

values:
interlanguage-link interwiki-da
display: none;

values: Lego Harry Potter : Années 1 à 4 – French

values: 레고 해리 포터: 이어스 1-4 – Korean

values: Lego Harry Potter: Years 1–4 – Norwegian

values:
interlanguage-link interwiki-no
display: none;

values: Lego Harry Potter: Years 1-4 – Norwegian Nynorsk

values:
interlanguage-link interwiki-nn
display: none;

values: Lego Harry Potter: Years 1-4 – Portuguese

values:
interlanguage-link interwiki-fi
display: none;

values: Lego Гаррі Поттер: роки 1—4 – Ukrainian

values:
interlanguage-link interwiki-uk
display: none;

values: All languages (initial selection from common choices by you and others)

values:
suggestions
display: none; font-size: 13px;

values: mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-Lego_Harry_Potter_Years_1–4 rootpage-Lego_Harry_Potter_Years_1–4 skin-vector action-view


text:
Rectangle
From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
For the record label, see Rectangle (label).
Rectangle
Rectangle
Type
quadrilateral, parallelogram, orthotope
Edges and vertices
4
Schläfli symbol
{ } × { }
Coxeter diagram
Symmetry group
Dihedral (D2), [2], (*22), order 4
Dual polygon
rhombus
Properties
convex, isogonal, cyclic Opposite angles and sides are congruent
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°). It can also be defined as a parallelogram containing a right angle. A rectangle with four sides of equal length is a square. The term oblong is occasionally used to refer to a non-square rectangle.[1][2][3] A rectangle with vertices ABCD would be denoted as ABCD.
The word rectangle comes from the Latin rectangulus, which is a combination of rectus (as an adjective, right, proper) and angulus (angle).
A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals.[4] It is a special case of an antiparallelogram, and its angles are not right angles. Other geometries, such as spherical, elliptic, and hyperbolic, have so-called rectangles with opposite sides equal in length and equal angles that are not right angles.
Rectangles are involved in many tiling problems, such as tiling the plane by rectangles or tiling a rectangle by polygons.
Contents
1 Characterizations
2 Classification
2.1 Traditional hierarchy
2.2 Alternative hierarchy
3 Properties
3.1 Symmetry
3.2 Rectangle-rhombus duality
3.3 Miscellaneous
4 Formulae
5 Theorems
6 Crossed rectangles
7 Other rectangles
8 Tessellations
9 Squared, perfect, and other tiled rectangles
10 See also
11 References
12 External links
Characterizations
A convex quadrilateral is a rectangle if and only if it is any one of the following:[5][6]
a parallelogram with at least one right angle
a parallelogram with diagonals of equal length
a parallelogram ABCD where triangles ABD and DCA are congruent
an equiangular quadrilateral
a quadrilateral with four right angles
a convex quadrilateral with successive sides a, b, c, d whose area is 1 4 ( a + c ) ( b + d ) {\displaystyle {\tfrac {1}{4}}(a+c)(b+d)} .[7]:fn.1
a convex quadrilateral with successive sides a, b, c, d whose area is 1 2 ( a 2 + c 2 ) ( b 2 + d 2 ) . {\displaystyle {\tfrac {1}{2}}{\sqrt {(a^{2}+c^{2})(b^{2}+d^{2})}}.} [7]
Classification
A rectangle is a special case of both parallelogram and trapezoid. A square is a special case of a rectangle.
Traditional hierarchy
A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular.
A parallelogram is a special case of a trapezium (known as a trapezoid in North America) in which both pairs of opposite sides are parallel and equal in length.
A trapezium is a convex quadrilateral which has at least one pair of parallel opposite sides.
A convex quadrilateral is
Simple: The boundary does not cross itself.
Star-shaped: The whole interior is visible from a single point, without crossing any edge.
Alternative hierarchy
De Villiers defines a rectangle more generally as any quadrilateral with axes of symmetry through each pair of opposite sides.[8] This definition includes both right-angled rectangles and crossed rectangles. Each has an axis of symmetry parallel to and equidistant from a pair of opposite sides, and another which is the perpendicular bisector of those sides, but, in the case of the crossed rectangle, the first axis is not an axis of symmetry for either side that it bisects.
Quadrilaterals with two axes of symmetry, each through a pair of opposite sides, belong to the larger class of quadrilaterals with at least one axis of symmetry through a pair of opposite sides. These quadrilaterals comprise isosceles trapezia and crossed isosceles trapezia (crossed quadrilaterals with the same vertex arrangement as isosceles trapezia).
Properties
Symmetry
A rectangle is cyclic: all corners lie on a single circle.
It is equiangular: all its corner angles are equal (each of 90 degrees).
It is isogonal or vertex-transitive: all corners lie within the same symmetry orbit.
It has two lines of reflectional symmetry and rotational symmetry of order 2 (through 180°).
Rectangle-rhombus duality
The dual polygon of a rectangle is a rhombus, as shown in the table below.[9]
Rectangle
Rhombus
All angles are equal. All sides are equal.
Alternate sides are equal. Alternate angles are equal.
Its centre is equidistant from its vertices, hence it has a circumcircle. Its centre is equidistant from its sides, hence it has an incircle.
Two axes of symmetry bisect opposite sides. Two axes of symmetry bisect opposite angles.
Diagonals are equal in length. Diagonals intersect at equal angles.
The figure formed by joining, in order, the midpoints of the sides of a rectangle is a rhombus and vice versa.
Miscellaneous
The two diagonals are equal in length and bisect each other. Every quadrilateral with both these properties is a rectangle.
A rectangle is rectilinear: its sides meet at right angles.
A rectangle in the plane can be defined by five independent degrees of freedom consisting, for example, of three for position (comprising two of translation and one of rotation), one for shape (aspect ratio), and one for overall size (area).
Two rectangles, neither of which will fit inside the other, are said to be incomparable.
Formulae
The formula for the perimeter of a rectangle
The area of a rectangle is the product of the length and width.
If a rectangle has length ℓ {\displaystyle \ell } and width w {\displaystyle w}
it has area A = ℓ w {\displaystyle A=\ell w\,} ,
it has perimeter P = 2 ℓ + 2 w = 2 ( ℓ + w ) {\displaystyle P=2\ell +2w=2(\ell +w)\,} ,
each diagonal has length d = ℓ 2 + w 2 {\displaystyle d={\sqrt {\ell ^{2}+w^{2}}}} ,
and when ℓ = w {\displaystyle \ell =w\,} , the rectangle is a square.
Theorems
The isoperimetric theorem for rectangles states that among all rectangles of a given perimeter, the square has the largest area.
The midpoints of the sides of any quadrilateral with perpendicular diagonals form a rectangle.
A parallelogram with equal diagonals is a rectangle.
The Japanese theorem for cyclic quadrilaterals[10] states that the incentres of the four triangles determined by the vertices of a cyclic quadrilateral taken three at a time form a rectangle.
The British flag theorem states that with vertices denoted A, B, C, and D, for any point P on the same plane of a rectangle:[11]
( A P ) 2 + ( C P ) 2 = ( B P ) 2 + ( D P ) 2 . {\displaystyle \displaystyle (AP)^{2}+(CP)^{2}=(BP)^{2}+(DP)^{2}.}
For every convex body C in the plane, we can inscribe a rectangle r in C such that a homothetic copy R of r is circumscribed about C and the positive homothety ratio is at most 2 and 0.5 × Area ( R ) ≤ Area ( C ) ≤ 2 × Area ( r ) {\displaystyle 0.5{\text{ × Area}}(R)\leq {\text{Area}}(C)\leq 2{\text{ × Area}}(r)} .[12]
Crossed rectangles
A crossed (self-intersecting) quadrilateral consists of two opposite sides of a non-self-intersecting quadrilateral along with the two diagonals. Similarly, a crossed rectangle is a crossed quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals. It has the same vertex arrangement as the rectangle. It appears as two identical triangles with a common vertex, but the geometric intersection is not considered a vertex.
A crossed quadrilateral is sometimes likened to a bow tie or butterfly. A three-dimensional rectangular wire frame that is twisted can take the shape of a bow tie. A crossed rectangle is sometimes called an "angular eight".
The interior of a crossed rectangle can have a polygon density of ±1 in each triangle, dependent upon the winding orientation as clockwise or counterclockwise.
A crossed rectangle is not equiangular. The sum of its interior angles (two acute and two reflex), as with any crossed quadrilateral, is 720°.[13]
A rectangle and a crossed rectangle are quadrilaterals with the following properties in common:
Opposite sides are equal in length.
The two diagonals are equal in length.
It has two lines of reflectional symmetry and rotational symmetry of order 2 (through 180°).
Other rectangles
A saddle rectangle has 4 nonplanar vertices, alternated from vertices of a cuboid, with a unique minimal surface interior defined as a linear combination of the four vertices, creating a saddle surface. This example shows 4 blue edges of the rectangle, and two green diagonals, all being diagonal of the cuboid rectangular faces.
In spherical geometry, a spherical rectangle is a figure whose four edges are great circle arcs which meet at equal angles greater than 90°. Opposite arcs are equal in length. The surface of a sphere in Euclidean solid geometry is a non-Euclidean surface in the sense of elliptic geometry. Spherical geometry is the simplest form of elliptic geometry.
In elliptic geometry, an elliptic rectangle is a figure in the elliptic plane whose four edges are elliptic arcs which meet at equal angles greater than 90°. Opposite arcs are equal in length.
In hyperbolic geometry, a hyperbolic rectangle is a figure in the hyperbolic plane whose four edges are hyperbolic arcs which meet at equal angles less than 90°. Opposite arcs are equal in length.
Tessellations
The rectangle is used in many periodic tessellation patterns, in brickwork, for example, these tilings:

Stacked bond
Running bond
Basket weave
Basket weave
Herringbone pattern
Squared, perfect, and other tiled rectangles
A rectangle tiled by squares, rectangles, or triangles is said to be a "squared", "rectangled", or "triangulated" (or "triangled") rectangle respectively. The tiled rectangle is perfect[14][15] if the tiles are similar and finite in number and no two tiles are the same size. If two such tiles are the same size, the tiling is imperfect. In a perfect (or imperfect) triangled rectangle the triangles must be right triangles.
A rectangle has commensurable sides if and only if it is tileable by a finite number of unequal squares.[14][16] The same is true if the tiles are unequal isosceles right triangles.
The tilings of rectangles by other tiles which have attracted the most attention are those by congruent non-rectangular polyominoes, allowing all rotations and reflections. There are also tilings by congruent polyaboloes.
See also
Cuboid
Golden rectangle
Hyperrectangle
Superellipse (includes a rectangle with rounded corners)
References
Jump up ^ "Archived copy" (PDF). Archived from the original (PDF) on 2014-05-14. Retrieved 2013-06-20.
Jump up ^ Definition of Oblong. Mathsisfun.com. Retrieved 2011-11-13.
Jump up ^ Oblong – Geometry – Math Dictionary. Icoachmath.com. Retrieved 2011-11-13.
Jump up ^ Coxeter, Harold Scott MacDonald; Longuet-Higgins, M.S.; Miller, J.C.P. (1954). "Uniform polyhedra". Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences. The Royal Society. 246 (916): 401–450. doi:10.1098/rsta.1954.0003. ISSN 0080-4614. JSTOR 91532. MR 0062446.
Jump up ^ Zalman Usiskin and Jennifer Griffin, "The Classification of Quadrilaterals. A Study of Definition", Information Age Publishing, 2008, pp. 34–36 ISBN 1-59311-695-0.
Jump up ^ Owen Byer; Felix Lazebnik; Deirdre L. Smeltzer (19 August 2010). Methods for Euclidean Geometry. MAA. pp. 53–. ISBN 978-0-88385-763-2. Retrieved 2011-11-13.
^ Jump up to: a b Josefsson Martin (2013). "Five Proofs of an Area Characterization of Rectangles" (PDF). Forum Geometricorum. 13: 17–21.
Jump up ^ An Extended Classification of Quadrilaterals (An excerpt from De Villiers, M. 1996. Some Adventures in Euclidean Geometry. University of Durban-Westville.)
Jump up ^ de Villiers, Michael, "Generalizing Van Aubel Using Duality", Mathematics Magazine 73 (4), Oct. 2000, pp. 303-307.
Jump up ^ Cyclic Quadrilateral Incentre-Rectangle with interactive animation illustrating a rectangle that becomes a 'crossed rectangle', making a good case for regarding a 'crossed rectangle' as a type of rectangle.
Jump up ^ Hall, Leon M. & Robert P. Roe (1998). "An Unexpected Maximum in a Family of Rectangles" (PDF). Mathematics Magazine. 71 (4): 285–291. JSTOR 2690700.
Jump up ^ Lassak, M. (1993). "Approximation of convex bodies by rectangles". Geometriae Dedicata. 47: 111. doi:10.1007/BF01263495.
Jump up ^ Stars: A Second Look. (PDF). Retrieved 2011-11-13.
^ Jump up to: a b R.L. Brooks, C.A.B. Smith, A.H. Stone and W.T. Tutte (1940). "The dissection of rectangles into squares". Duke Math. J. 7 (1): 312–340. doi:10.1215/S0012-7094-40-00718-9. CS1 maint: Multiple names: authors list (link)
Jump up ^ J.D. Skinner II, C.A.B. Smith and W.T. Tutte (November 2000). "On the Dissection of Rectangles into Right-Angled Isosceles Triangles". Journal of Combinatorial Theory, Series B. 80 (2): 277–319. doi:10.1006/jctb.2000.1987.
Jump up ^ R. Sprague (1940). "Ũber die Zerlegung von Rechtecken in lauter verschiedene Quadrate". Journal für die reine und angewandte Mathematik. 182: 60–64.
External links
Wikimedia Commons has media related to Rectangles.
Weisstein, Eric W. "Rectangle". MathWorld.
Definition and properties of a rectangle with interactive animation.
Area of a rectangle with interactive animation.
Authority control
GND: 4240913-5
Retrieved from "https://en.wikipedia.org/w/index.php?title=Rectangle&oldid=842148512"
Categories:
Quadrilaterals
Elementary shapes
Hidden categories:
CS1 maint: Multiple names: authors list
Wikipedia indefinitely semi-protected pages
Wikipedia articles with GND identifiers
Navigation menu
Personal tools
Not logged in
Talk
Contributions
Create account
Log in
Namespaces
Article
Talk
Variants
Views
Read
View source
View history
More
Search
Navigation
Main page
Contents
Featured content
Current events
Random article
Donate to Wikipedia
Wikipedia store
Interaction
Help
About Wikipedia
Community portal
Recent changes
Contact page
Tools
What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Wikidata item
Cite this page
Print/export
Create a book
Download as PDF
Printable version
In other projects
Wikimedia Commons
Wikibooks
Languages
Afrikaans
Аҧсшәа
العربية
অসমীয়া
Asturianu
Avañe'ẽ
Aymar aru
Azərbaycanca
বাংলা
Башҡортса
Беларуская
Беларуская (тарашкевіца)
Български
Bosanski
Brezhoneg
Català
Čeština
ChiShona
Corsu
Dansk
Davvisámegiella
Deutsch
Dolnoserbski
Eesti
Ελληνικά
Emiliàn e rumagnòl
Español
Esperanto
Euskara
فارسی
Français
Gaeilge
Galego
한국어
Հայերեն
हिन्दी
Hornjoserbsce
Hrvatski
Bahasa Indonesia
Iñupiak
Íslenska
Italiano
עברית
Basa Jawa
ಕನ್ನಡ
ქართული
Kaszëbsczi
Қазақша
Kiswahili
Kreyòl ayisyen
Kurdî
ລາວ
Latina
Latviešu
Lietuvių
Limburgs
Lumbaart
Magyar
Македонски
മലയാളം
मराठी
Bahasa Melayu
Nederlands
नेपाली
日本語
Nordfriisk
Norsk
Norsk nynorsk
Occitan
Олык марий
ភាសាខ្មែរ
Piemontèis
Polski
Português
Română
Runa Simi
Русский
Scots
Shqip
Sicilianu
Simple English
سنڌي
Slovenčina
Slovenščina
Ślůnski
Soomaaliga
کوردی
Српски / srpski
Srpskohrvatski / српскохрватски
Basa Sunda
Suomi
Svenska
Tagalog
தமிழ்
తెలుగు
ไทย
ᏣᎳᎩ
Türkçe
Українська
اردو
Tiếng Việt
West-Vlams
Winaray
吴语
ייִדיש
粵語
中文
98 more
Edit links
This page was last edited on 20 May 2018, at 15:28 (UTC).
Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.
Privacy policy
About Wikipedia
Disclaimers
Contact Wikipedia
Developers
Cookie statement
Mobile view
Enable previews

key: html

type: local

value: div

attrs: id class

values: mw-page-base noprint

values: mw-head-base noprint

value: a

value: img

attrs: alt src width height srcset data-file-width data-file-height

attrs: href title

attrs: class id

attrs: id class lang

values: firstHeading firstHeading en

values: siteSub noprint

values: mw-jump-link #mw-head

values: mw-jump-link #p-search

attrs: role class

values:
note
hatnote navigation-not-searchable

value: th

attrs: colspan style

value: tr

attrs: href class

value: td

values:
/wiki/Coxeter_diagram
mw-redirect
Coxeter diagram

attrs: alt src width height data-file-width data-file-height

values:
/wiki/Dihedral_symmetry
mw-redirect
Dihedral symmetry

values:
/wiki/Cyclic_polygon
mw-redirect
Cyclic polygon

values: checkbox button toctogglecheckbox toctogglecheckbox display:none

values: vertical-align: -1.171ex; width:15.408ex; height:3.509ex;

values: vertical-align: -1.671ex; width:22.597ex; height:4.843ex;

attrs: alt src width height class srcset data-file-width data-file-height

values:
/wiki/Axis_of_symmetry
mw-redirect
Axis of symmetry

values:
/wiki/Isosceles_trapezia
mw-redirect
Isosceles trapezia

values:
/wiki/Corner_angle
mw-redirect
Corner angle

values:
/wiki/Symmetry_orbit
mw-redirect
Symmetry orbit

values:
/wiki/Reflectional_symmetry
mw-redirect
Reflectional symmetry

values: vertical-align: -0.338ex; width:0.97ex; height:2.176ex;

values: vertical-align: -0.338ex; width:1.664ex; height:1.676ex;

values: vertical-align: -0.338ex; width:7.862ex; height:2.176ex;

values: {\displaystyle P=2\ell +2w=2(\ell +w)\,}

values: vertical-align: -0.838ex; width:24.575ex; height:2.843ex;

values: {\displaystyle d={\sqrt {\ell ^{2}+w^{2}}}}

values: vertical-align: -0.838ex; width:14.221ex; height:3.509ex;

values: vertical-align: -0.338ex; width:6.119ex; height:2.176ex;

values:
/wiki/Square_(geometry)
mw-redirect
Square (geometry)

values:
/wiki/Isoperimetric_theorem
mw-redirect
Isoperimetric theorem

values: Japanese theorem for cyclic quadrilaterals

values: vertical-align: -0.838ex; width:35.06ex; height:3.176ex;

values: vertical-align: -0.838ex; width:40.826ex; height:2.843ex;

values:
/wiki/Polygon_density
mw-redirect
Polygon density

values:
/wiki/Interior_angle
mw-redirect
Interior angle

values:
/wiki/Reflex_angle
mw-redirect
Reflex angle

values:
nofollow
external text
//doi.org/10.1098/rsta.1954.0003

values:
nofollow
external text
//www.worldcat.org/issn/0080-4614

values:
nofollow
external text
//www.jstor.org/stable/91532

values:
nofollow
external text
//www.jstor.org/stable/2690700

values:
nofollow
external text
//doi.org/10.1007/BF01263495

values: Category:CS1 maint: Multiple names: authors list

values: Journal of Combinatorial Theory, Series B

values:
nofollow
external text
//doi.org/10.1006/jctb.2000.1987

values: -moz-column-width: 35em; -webkit-column-width: 35em; column-width: 35em; list-style-type: decimal;

values:
nofollow
external text
https://d-nb.info/gnd/4240913-5

values: Category:Wikipedia indefinitely semi-protected pages

values: Category:Wikipedia articles with GND identifiers

values: Discussion about edits from this IP address [ctrl-alt-n]

values: A list of edits made from this IP address [ctrl-alt-y]

values: You are encouraged to create an account and log in; however, it is not mandatory

values: You're encouraged to log in; however, it's not mandatory. [ctrl-alt-o]

values:
/wiki/Rectangle
View the content page [ctrl-alt-c]
c

values: Discussion about the content page [ctrl-alt-t]

values: p-namespaces navigation vectorTabs p-namespaces-label

values:
p-variants
navigation
vectorMenu emptyPortlet
p-variants-label

values:
This page is protected.
You can view its source [ctrl-alt-e]

values: Past revisions of this page [ctrl-alt-h]

values: p-views navigation vectorTabs p-views-label

values:
p-cactions
navigation
vectorMenu emptyPortlet
p-cactions-label

values:
mw-wiki-logo
/wiki/Main_Page
Visit the main page

values:
/wiki/Main_Page
Visit the main page [ctrl-alt-z]
z

values: Featured content – the best of Wikipedia

values: Find background information on current events

values:
/wiki/Special:Random
Load a random article [ctrl-alt-x]
x

values: portal navigation p-navigation p-navigation-label

values: Guidance on how to use and edit Wikipedia

values: About the project, what you can do, where to find things

values: A list of recent changes in the wiki [ctrl-alt-r]

values: A list of all special pages [ctrl-alt-q]

values: Permanent link to this revision of the page

values: Link to connected data repository item [ctrl-alt-g]

values: Printable version of this page [ctrl-alt-p]

values: portal navigation p-wikibase-otherprojects p-wikibase-otherprojects-label

values:
https://af.wikipedia.org/wiki/Reghoek
Reghoek – Afrikaans
af
af
interlanguage-link-target

values:
interlanguage-link interwiki-af
display: none;

values: Акәакьиаша – Abkhazian

values:
interlanguage-link interwiki-ab
display: none;

values: مستطيل – Arabic

values: আয়তক্ষেত্ৰ – Assamese

values:
interlanguage-link interwiki-as
display: none;

values:
interlanguage-link interwiki-ast
display: none;

values:
interlanguage-link interwiki-gn
display: none;

values:
https://ay.wikipedia.org/wiki/Wiskhalla
Wiskhalla – Aymara
ay
ay
interlanguage-link-target

values:
interlanguage-link interwiki-ay
display: none;

values:
interlanguage-link interwiki-az
display: none;

values: আয়তক্ষেত্র – Bangla

values:
interlanguage-link interwiki-bn
display: none;

values: Тура дүртмөйөш – Bashkir

values:
interlanguage-link interwiki-ba
display: none;

values: Прамавугольнік – Belarusian

values:
interlanguage-link interwiki-be
display: none;

values: Прастакутнік – Belarusian (Taraškievica orthography)

values:
interlanguage-link interwiki-be-x-old
display: none;

values: Правоъгълник – Bulgarian

values:
interlanguage-link interwiki-bg
display: none;

values:
interlanguage-link interwiki-bs
display: none;

values:
interlanguage-link interwiki-br
display: none;

values:
https://ca.wikipedia.org/wiki/Rectangle
Rectangle – Catalan
ca
ca
interlanguage-link-target

values:
interlanguage-link interwiki-ca
display: none;

values:
interlanguage-link interwiki-cs
display: none;

values:
interlanguage-link interwiki-sn
display: none;

values:
interlanguage-link interwiki-co
display: none;

values:
https://da.wikipedia.org/wiki/Rektangel
Rektangel – Danish
da
da
interlanguage-link-target

values:
interlanguage-link interwiki-se
display: none;

values:
https://de.wikipedia.org/wiki/Rechteck
Rechteck – German
de
de
interlanguage-link-target

values:
interlanguage-link interwiki-de
display: none;

values:
interlanguage-link interwiki-dsb
display: none;

values:
interlanguage-link interwiki-et
display: none;

values: Ορθογώνιο παραλληλόγραμμο – Greek

values:
interlanguage-link interwiki-el
display: none;

values:
interlanguage-link interwiki-eml
display: none;

values:
https://eo.wikipedia.org/wiki/Ortangulo
Ortangulo – Esperanto
eo
eo
interlanguage-link-target

values:
interlanguage-link interwiki-eo
display: none;

values:
interlanguage-link interwiki-eu
display: none;

values: مستطیل – Persian

values:
interlanguage-link interwiki-fa
display: none;

values:
https://fr.wikipedia.org/wiki/Rectangle
Rectangle – French
fr
fr
interlanguage-link-target

values:
interlanguage-link interwiki-fr
display: none;

values:
interlanguage-link interwiki-ga
display: none;

values:
interlanguage-link interwiki-gl
display: none;

values:
interlanguage-link interwiki-ko
display: none;

values: Ուղղանկյուն – Armenian

values:
interlanguage-link interwiki-hy
display: none;

values:
interlanguage-link interwiki-hsb
display: none;

values:
interlanguage-link interwiki-hr
display: none;

values:
interlanguage-link interwiki-ik
display: none;

values:
interlanguage-link interwiki-is
display: none;

values:
interlanguage-link interwiki-it
display: none;

values:
interlanguage-link interwiki-he
display: none;

values:
interlanguage-link interwiki-jv
display: none;

values:
interlanguage-link interwiki-kn
display: none;

values: მართკუთხედი – Georgian

values:
interlanguage-link interwiki-ka
display: none;

values:
interlanguage-link interwiki-csb
display: none;

values: Тік төртбұрыш – Kazakh

values:
interlanguage-link interwiki-kk
display: none;

values:
https://sw.wikipedia.org/wiki/Mstatili
Mstatili – Swahili
sw
sw
interlanguage-link-target

values:
interlanguage-link interwiki-sw
display: none;

values:
https://ht.wikipedia.org/wiki/Rektang
Rektang – Haitian Creole
ht
ht
interlanguage-link-target

values:
interlanguage-link interwiki-ht
display: none;

values:
interlanguage-link interwiki-ku
display: none;

values: ຮູບສີ່ແຈສາກ – Lao

values:
interlanguage-link interwiki-lo
display: none;

values:
interlanguage-link interwiki-la
display: none;

values:
interlanguage-link interwiki-lv
display: none;

values:
interlanguage-link interwiki-lt
display: none;

values:
https://li.wikipedia.org/wiki/Rechhook
Rechhook – Limburgish
li
li
interlanguage-link-target

values:
interlanguage-link interwiki-li
display: none;

values:
interlanguage-link interwiki-lmo
display: none;

values:
interlanguage-link interwiki-hu
display: none;

values: Правоаголник – Macedonian

values:
interlanguage-link interwiki-mk
display: none;

values:
interlanguage-link interwiki-ml
display: none;

values:
interlanguage-link interwiki-mr
display: none;

values:
https://nl.wikipedia.org/wiki/Rechthoek
Rechthoek – Dutch
nl
nl
interlanguage-link-target

values:
interlanguage-link interwiki-nl
display: none;

values:
interlanguage-link interwiki-ne
display: none;

values:
interlanguage-link interwiki-ja
display: none;

values:
https://frr.wikipedia.org/wiki/Rochthuk
Rochthuk – Northern Frisian
frr
frr
interlanguage-link-target

values:
interlanguage-link interwiki-frr
display: none;

values:
https://no.wikipedia.org/wiki/Rektangel
Rektangel – Norwegian
no
no
interlanguage-link-target

values:
https://nn.wikipedia.org/wiki/Rektangel
Rektangel – Norwegian Nynorsk
nn
nn
interlanguage-link-target

values:
https://oc.wikipedia.org/wiki/Rectangle
Rectangle – Occitan
oc
oc
interlanguage-link-target

values:
interlanguage-link interwiki-oc
display: none;

values:
interlanguage-link interwiki-mhr
display: none;

values: ចតុកោណកែង – Khmer

values:
interlanguage-link interwiki-km
display: none;

values:
interlanguage-link interwiki-pms
display: none;

values:
interlanguage-link interwiki-pl
display: none;

values:
interlanguage-link interwiki-ro
display: none;

values:
https://qu.wikipedia.org/wiki/Wask%27a
Wask'a – Quechua
qu
qu
interlanguage-link-target

values:
interlanguage-link interwiki-qu
display: none;

values: Прямоугольник – Russian

values:
interlanguage-link interwiki-sco
display: none;

values:
interlanguage-link interwiki-sq
display: none;

values:
interlanguage-link interwiki-scn
display: none;

values:
interlanguage-link interwiki-simple
display: none;

values: مستطيل – Sindhi

values:
interlanguage-link interwiki-sd
display: none;

values:
interlanguage-link interwiki-sk
display: none;

values:
interlanguage-link interwiki-sl
display: none;

values:
interlanguage-link interwiki-szl
display: none;

values:
https://so.wikipedia.org/wiki/Laydi
Laydi – Somali
so
so
interlanguage-link-target

values:
interlanguage-link interwiki-so
display: none;

values:
interlanguage-link interwiki-ckb
display: none;

values: Правоугаоник – Serbian

values:
interlanguage-link interwiki-sr
display: none;

values:
interlanguage-link interwiki-sh
display: none;

values:
interlanguage-link interwiki-su
display: none;

values:
https://sv.wikipedia.org/wiki/Rektangel
Rektangel – Swedish
sv
sv
interlanguage-link-target

values:
interlanguage-link interwiki-sv
display: none;

values:
https://tl.wikipedia.org/wiki/Parihaba
Parihaba – Tagalog
tl
tl
interlanguage-link-target

values:
interlanguage-link interwiki-tl
display: none;

values: செவ்வகம் – Tamil

values:
interlanguage-link interwiki-ta
display: none;

values: దీర్ఘ చతురస్రం – Telugu

values:
interlanguage-link interwiki-te
display: none;

values: รูปสี่เหลี่ยมมุมฉาก – Thai

values:
interlanguage-link interwiki-th
display: none;

values: ᎦᏅᎯᏓ ᏅᎩ ᏧᏅᏏᏯ – Cherokee

values:
interlanguage-link interwiki-chr
display: none;

values:
interlanguage-link interwiki-tr
display: none;

values: Прямокутник – Ukrainian

values: مستطیل – Urdu

values:
interlanguage-link interwiki-vi
display: none;

values:
https://vls.wikipedia.org/wiki/Rechtoek
Rechtoek – West Flemish
vls
vls
interlanguage-link-target

values:
interlanguage-link interwiki-vls
display: none;

values:
interlanguage-link interwiki-war
display: none;

values:
interlanguage-link interwiki-wuu
display: none;

values: גראדעק – Yiddish

values:
interlanguage-link interwiki-yi
display: none;

values:
interlanguage-link interwiki-zh-yue
display: none;

values: /static/images/wikimedia-button-1.5x.png 1.5x, /static/images/wikimedia-button-2x.png 2x

values: /static/images/poweredby_mediawiki_132x47.png 1.5x, /static/images/poweredby_mediawiki_176x62.png 2x

values: mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-Rectangle rootpage-Rectangle skin-vector action-view