Name	Ice Cube
Background	solo_singer|birth_name O'Shea Jackson
Alias	Cube, Don Mega
Born	June 15, 1969 Los Angeles, California
Origin	South Central Los Angeles, California, U.S.
Genre	Hip hop, gangsta rap, political hip hop
Occupation	Rapper, actor, film director, screenwriter
Years active	1984–present
Label	Priority (1987–1996)Lench Mob (1994–present)EMI (1987–present)
Associated acts	N.W.A, C.I.A., Scarface, Da Lench Mob, Westside Connection, Public Enemy, WC and the Maad Circle, Game
Website	}}

Ice Cube (born O'Shea Jackson; June 15, 1969) is an American rapper, actor, screenwriter, film director, and producer. He began his career as a member of the C.I.A. and later joined the rap group N.W.A. After leaving N.W.A in December 1989, he built a successful solo career in music, and also as a writer, director, actor and producer in cinema. Additionally, he has served as one of the producers of the Showtime television series Barbershop and the TBS series Are We There Yet?, both of which are based upon films in which he portrayed the lead character.

Early life

O'Shea Jackson was born on June 15, 1969 in Los Angeles, in the South Central area, the son of Doris Jackson (née Benjamin), a hospital clerk and custodian, and Hosea Jackson, who worked as a groundskeeper at UCLA. According to a 2005 interview with Teenink, O'Shea's half-sister was murdered by her boyfriend in a murder-suicide when he was 12 years old . His cousin is Teren Delvon Jones, also known as Del tha Funkee Homosapien, who is a part of the rap group Hieroglyphics and who has also worked with Gorillaz; and Kam of rap group The Warzone. At 16, Ice Cube developed an interest in hip hop music, and began writing raps in Taft High School's keyboarding class. He attended the Phoenix Institute of Technology in the fall of 1987, and studied Architectural Drafting. With friend Sir Jinx, Ice Cube formed the C.I.A., and they performed at parties hosted by Dr. Dre. Young Cube was fourteen years old when he met Dre, nineteen. Dre soon entered the recording industry involved with the World Class Wreckin' Cru recording records. Dre saw Cube's potential as a writer and had him helping Dre in writing Wreckin Cru's big L.A. hit track, "Cabbage Patch" as well as joining Cube on a side partnership the duo called Stereo Crew by which they produced a twelve-inch record, "She's a Skag" released on Epic Records in 1986.

Music career

N.W.A

In 1987, Ice Cube and Dr. Dre released the single My Posse, under the alias CIA. After the collaboration, Ice Cube showed Eazy-E the lyrics to "Boyz-n-the-Hood". Eazy-E, although initially rejecting the lyrics, eventually recorded the song for N.W.A. and the Posse, the debut album for the group N.W.A that included him, Dre, and other rappers MC Ren and DJ Yella.

By this point Ice Cube was a full-time member of N.W.A along with Dr. Dre and MC Ren. Ice Cube wrote Dr. Dre and Eazy-E's rhymes for the group's landmark album, Straight Outta Compton, released in 1988. However, as 1990 approached, Ice Cube found himself at odds with the group's manager, Jerry Heller, after rejecting Heller's proposed contract terms.

Since Ice Cube wrote the lyrics to approximately half of both Straight Outta Compton, and Eazy-E's solo album, Eazy-Duz-It, he was advised of the amounts he was truly owed by Heller, and took legal action soon after leaving the group and the label. In response, the remaining N.W.A members attacked him on the EP 100 Miles and Runnin' and on their next and final album, Efil4zaggin (Niggaz4life spelled backwards).

Solo career

In late 1989, Ice Cube recorded his debut solo album in Los Angeles with the Bomb Squad (Public Enemy's production team). AmeriKKKa's Most Wanted was released in May 1990 and was an instant hit, riding and contributing to the rising tide of rap's popularity in mainstream society. The album was charged with controversy, and he was accused of misogyny and racism. Subsequently, Ice Cube appointed the female rapper Yo-Yo (who appeared on AmeriKKKa's Most Wanted) to the head of his own record label and helped produce her debut album, Make Way for the Motherlode. This was followed by a critically acclaimed role as 'Doughboy' in John Singleton's hood-based drama, Boyz n the Hood. In the same year as AmeriKKKa's Most Wanted, Ice Cube released the acclaimed EP, Kill At Will which sold well, becoming the first hip hop EP to go both Gold and Platinum.

His 1991 follow-up, Death Certificate was regarded as more focused, yet even more controversial, and critics accused him again of being anti-white, misogynist, and antisemitic. The album is thematically divided into the 'Death Side' ("a vision of where we are today") and the 'Life Side' ("a vision of where we need to go"). It features "No Vaseline", a scathing response to N.W.A's attacks and "Black Korea," a track regarded by some as prophetic of the 1992 Los Angeles riots, but also interpreted as racist by many; it was still being cited years after its release. Ice Cube toured with Lollapalooza in 1992, which widened his fan base.

Ice Cube released The Predator in November 1992. Referring specifically to that year's Los Angeles riots, in the first single, "Wicked", he rapped "April 29 was power to the people, and we might just see a sequel". The Predator debuted at number one on both the pop and R&B; charts, the first album in history to do so. Singles from The Predator included "It Was a Good Day" and the "Check Yo Self" remix, and the songs had a two-part music video. The album remains his most successful release, with over three million copies sold in the US. However, after The Predator, Ice Cube's rap audience diminished. Lethal Injection which was released in the end of 1993 and represented Ice Cube's first attempt at imitating the G-Funk sound of Dr. Dre's The Chronic, was not well received by critics. He had more successful hits from Lethal Injection, including "Really Doe", "Bop Gun (One Nation)", "You Know How We Do It" & "What Can I Do?". After 1994, he took a hiatus from music and concentrated on film work and developing the careers of other rap musicians, Mack 10, Mr. Short Khop, Kausion, and Da Lench Mob.

In 1994, Ice Cube had reunited with former N.W.A member Dr. Dre, who was now part of Death Row Records, in their duet "Natural Born Killaz". In 1998, he released his long-awaited solo album, War & Peace Volume 1. The delayed Volume 2, was released in 2000. The albums featured appearances from Westside Connection as well as a reunion with fellow N.W.A members, Dr. Dre and MC Ren, though many fans maintained that the two albums were not on par with his past work, especially the second volume. In 2000, Ice Cube also joined Dr. Dre, Eminem & Snoop Dogg on the Up In Smoke Tour.

In 2006, Ice Cube released his seventh solo album, Laugh Now, Cry Later, on his Lench Mob Records label, debuting at number four on the Billboard Charts and selling 144,000 units in the first week. The album featured production from Lil Jon and Scott Storch, who produced the lead single "Why We Thugs". He released his eighth studio album, Raw Footage, on August 19, 2008, featuring the controversial single "Gangsta Rap Made Me Do It".

On Oct 12, 2009 he released a non-album track called 'Raider Nation' in tribute to the Oakland Raiders' football team he supports.

On May 11, 2010, Ice Cube released a 30 for 30 documentary, "Straight Outta L.A.", for ESPN on the relationship between the gangster rap scene in Los Angeles and the tenure of the Raiders there. He has been voted as eighth of MTV's "greatest emcees of all time."

Westside Connection

In 1996, Ice Cube formed Westside Connection with Mack 10 and WC, and together they released an album called Bow Down. Most of the album was used to engage in the East Coast-West Coast hip hop rivalry of the 90s. The album's eponymous single reached number 21 on the singles charts, and the album itself was certified Platinum by the end of 1996. With Bow Down, Westside Connection brought their own agenda to the hip hop scene. Ice Cube, Mack 10 and WC had grown tired of being overlooked by most East Coast media outlets; the album was designed to instil a sense of pride in West Coast rap fans and to start a larger movement that some people who felt underappreciated might identify with. Songs like "Bow Down" and "Gangstas Make the World Go 'Round" make reference to this. Ice Cube would also eventually make amends with Eazy-E shortly before the latter's death in 1995.

After a seven-year hiatus, Westside Connection returned with their second effort Terrorist Threats in 2003. The album fared well critically, but its commercial reception was less than that of Bow Down. "Gangsta Nation" was the only single released from the album, which was produced by Fredwreck and featured Nate Dogg; it was a radio hit. After a rift between Ice Cube and Mack 10 about Ice Cube's commitments to film work rather than touring with the group, Westside Connection disbanded. WC, however, did release a new solo album on Lench Mob Records entitled Guilty by Affiliation on August 14, 2007.

Collaborations

In 1992 Ice Cube assisted on debut albums from Da Lench Mob (Guerillas in tha Mist, 1992) and Kam (Neva Again, 1993), both of which enjoyed critical acclaim and some moderate commercial success. He handled most of the production on Guerillas in tha Mist.

In 1993, Lench Mob member, J-Dee, was sentenced to life imprisonment for attempted murder, and Ice Cube did not produce their next album, Planet of tha Apes. Around this time in 1993, he also worked with Tupac Shakur on his album Strictly 4 My N.I.G.G.A.Z., appearing on the track "Last Wordz" with Ice-T. He also did a song with Dr. Dre for the first time since he left N.W.A: "Natural Born Killaz", for the Murder Was The Case soundtrack, and also contributed to the Office Space soundtrack. He also featured on Kool G Rap's song "Two To The Head" from the Kool G Rap & DJ Polo album "Live And Let Die". Ice Cube appeared on the song "Children of the Korn" by the band Korn, as well as assisting in recording a Korn cover of Wicked, and lent his voice to British DJ Paul Oakenfold's solo debut album, Bunkka, on the track "Get Em Up".

2004–2010

In 2004, his hit singles "Check Yo Self", "It Was a Good Day" and affiliated song "Guerrillas in tha Mist" with Da Lench Mob appeared on popular video game Grand Theft Auto: San Andreas on fictional radio station Radio Los Santos.

In late 2005, Ice Cube and R. J. Cutler teamed up to create the six-part documentary series titled Black. White., which was broadcast on cable network FX. In May 2006 Ice Cube complained that Oprah Winfrey would not welcome him and other rappers on her show. Ice Cube's other movie projects include Teacher of the Year, released in 2007, and The Extractors, released in 2008.

He has signed on to star in and produce Welcome Back, Kotter, a big-screen adaptation of the 1970s television series. Ice Cube will play the title character, originally portrayed by Gabe Kaplan and his film company, Cube Vision Productions, has sealed a deal with Dimension Films to bring the show to the big screen.

In a London interview he revealed he is in talks of a collaboration with Gorillaz after speaking to frontman Damon Albarn.

In October 2006 Xzibit, Lil Jon and WC from the Westside Connection honoured Ice Cube at VH1's Annual Hip Hop Honors, performing some classic Ice Cube tracks, and Ice Cube also performed "Why We Thugs" and "Go To Church" from his album Laugh Now, Cry Later, where the New York crowd were greeted with Cube's vintage Cali sound. After launching that comeback album, Ice Cube toured across the world to promote it. The tour is known as "Straight Outta Compton Tour", and accompanying him is his friend and fellow rapper WC from the Westside Connection. Some places he has recently performed include the Paradiso in Amsterdam and various venues in England. After touring the U.S. and Europe, he performed all around Australia, from Sydney's Enmore Theatre to The Forum Arena in Melbourne, before heading to Japan.

Ice Cube collaborated with Tech N9ne on the song "Blackboy" that appears on Tech N9ne's July 2008 album Killer. The eighth Ice Cube studio LP, titled Raw Footage, was released on August 19, 2008, and featured the singles Gangsta Rap Made Me Do It and Do Ya Thang. Ice Cube appeared on a song by rapper The Game titled "State of Emergency" off The Game's Album, L.A.X. In 2009, Ice Cube performed at the Gathering of the Juggalos, and will return to perform at the 2011 festival.

Despite rumors of conflicts with other rappers in 2010, Ice Cube stated in an interview with DJ Whoo Kid on Sirius Shade 45 that he has "no beef."

Ice Cube's ninth studio album I Am the West was released on September 28, 2010. Ice Cube has stated this album has a different direction than any one of his other albums. He received beats from West coast veteran producers such as DJ Quik, Dr. Dre, E-A-Ski, and Sir Jinx, not having worked on a solo album with the latter in nearly 20 years. The album was released independently under his label Lench Mob. Ice Cube has stated that "being independent is beautiful because we can do things 'out the box' that record companies would usually frown at. Instead of working from a ready-made cookie-cutter marketing plan, we can tailor make a marketing plan specifically for me."

In 2011 he will reunite with N.W.A members MC Ren & Dr. Dre on T-Boz's debut studio album Still Cool on the track "From The South To the Wild Wild West".

Other ventures

Film and television career

Following his role as 'Doughboy' in Boyz N The Hood, in 1992 he starred alongside Ice-T, and Bill Paxton in Walter Hill's action film, Trespass, and then in The Glass Shield.

Ice Cube was offered a co-star role with Janet Jackson in the 1993 romantic film Poetic Justice, but he refused the role, which was given to Tupac Shakur instead.

John Singleton had encouraged Ice Cube to try his hand at screenwriting, telling him, "If you can write a record, you can write a movie." With this encouragement, Ice Cube wrote the screenplay for what became the 1995 comedy Friday, in which he also starred, alongside then up-and-coming comedian Chris Tucker. Friday earned $28 million worldwide on a $3.5 million budget, and spawned two sequels, Next Friday and Friday After Next. (On March 9, 2011 he announced that he was making the final sequel called Last Friday). That year, he also starred in his second collaboration with John Singleton, Higher Learning, as world-weary university student "Fudge"; a role for which he earned award nominations.

In 1997 Ice Cube starred in the action thriller Dangerous Ground as a South African exiled to America who returns 15 years later. He also had a supporting role in the film Anaconda that same year. He wrote, executive produced, and made his directorial debut in The Players Club in 1998, and in 1999 starred alongside George Clooney and Mark Wahlberg in the critically acclaimed Three Kings. In 2000, he wrote and appeared in the Friday sequel Next Friday. In 2002, Ice Cube starred in the commercially successful movie Barbershop, as well as All About the Benjamins and the third film in the Friday trilogy, Friday after Next (which he again wrote). In 2004, he appeared in Barbershop 2: Back in Business, and Torque; in 2005 he starred in the action movie XXX: State of the Union, as well as the comedies Are We There Yet? and Are We Done Yet?, co-starring Nia Long.

In early April 2007 Ice Cube was a guest on Angie Martinez' Hot97 radio show and stated that he was interested in bringing back Chris Tucker as Smokey in a possible Friday sequel, but that was only possible "if New Line cuts the cheque." In an interview with BlackFilm.com, Ice Cube stated that he would be interested in involving all major characters from the Friday franchise in a possible sequel, but added "I know I'm not going to get Chris [Tucker] back, but I'd love to get everybody else back."

In the Movies is a compilation album of Ice Cube songs that have appeared in movie soundtracks, which was released on September 4, 2007.

Ice Cube and basketball star LeBron James have paired up to pitch a one-hour special to ABC based on James's life. Ice Cube's Are We There Yet television series premiered on TBS on June 2, 2010. Based on the 2005 feature film of the same name, the show revolves around a family adjusting to the matriarch's new husband (Terry Crews) and trying to deal with normal family situations. On August 16, 2010, Are We There Yet? was renewed for 90 additional episodes. In an August 2010 interview with UrbLife.com, Ice Cube expressed excitement about the show being picked up for the run, which will pan out to around six seasons. He also credits Tyler Perry for opening the door for him at TBS.

Clothing line

Ice Cube has licenced a clothing line, SOLO by Cube, which features hooded sweatshirts with built-in headphones in the hood strings.

Personal life

Family

He married Kimberly Woodruff in 1992, with whom he has four children (three boys, one girl) - O'Shea Jr., Darrel, Shareef and Karima.

A father of four, Ice Cube was asked by Fresh Air's Terry Gross to provide some perspective on the relationship between his work and his family. When asked whether or not he allowed his children to listen to his music, he responded: "What's worked for me is instilling in my kids a level of self-respect," helping them to understand the content of not just music but the violence found on the evening news. When asked what he tells his children about profanity, he recalled telling his kids that there are "appropriate times to use any kind of language.... Adults should never hear you use these words. If you want to use these words around your friends, that's really on you." Ice Cube is also the father of rappers OMG and Doughboy, who were featured on his album, I Am the West.

Religion

In an interview with British newspaper The Guardian, Ice Cube stated that he is a Muslim, having converted sometime in the 1990s. He described his Muslim faith as a simple, personal one that does not involve attending prayer services or following rituals. Although he has spoken favorably of the Nation of Islam, he denied ever being in the organization.

Discography

; Studio albums

1990: AmeriKKKa's Most Wanted

1991: Death Certificate

1992: The Predator

1993: Lethal Injection

1998: War & Peace Vol. 1 (The War Disc)

2000: War & Peace Vol. 2 (The Peace Disc)

2006: Laugh Now, Cry Later

2008: Raw Footage

2010: I Am the West

; Other albums

1994: Bootlegs & B-Sides

1997: Featuring…Ice Cube

2001: Greatest Hits

2007: In the Movies

2008: The Essentials

Filmography

As an actor

Films

Year 1991 1992 1993 1995 1995 1995 1997 1997 1998 1998 1999 1999 1999 2001 2002 2002 2002 2004 2004 2005 2005 2007 2008 2008 2009 2010 2011 2011 2012 2012

Title	|	Role	Other notes
Boyz n the Hood	|	Darin "Doughboy" Baker	Main Role
Trespass (1992 film)	Trespass	|	Savon	Main Role
CB4	|	himself	Cameo
The Glass Shield	|	Teddy Woods	Main Role
Higher Learning	|	Fudge	Main Role
Friday (film)	Friday	|	Craig Jones	Main Role
Dangerous Ground	|	Vusi Madlazi	Main Role
Anaconda (film)	Anaconda	|	Danny Rich	Main Role
The Players Club	|	Reggie	Minor Role
I Got The Hook Up	|	Gun Runner	Minor Role
Three Kings (1999 film)	Three Kings	|	SSgt. Chief Elgin	Main Role
Thicker Than Water (1999 film)	Thicker Than Water	|	Slink	Supporting Role
Next Friday	|	Craig Jones	Main Role
Ghosts of Mars	|	James 'Desolation' Williams	Main Role
All About The Benjamins	|	Detective Bucum	Main Role
BarberShop (film)	BarberShop	|	Calvin Palmer	Main Role
Friday After Next	|	Craig Jones	Main Role
Torque (film)	Torque	|	Trey	Main Role
BarberShop 2: Back in Business	|	Calvin Palmer	Main Role
Are We There Yet?	|	Nick Persons	Main Role
XXX: State of the Union	|	Darius Stone	Main Role
Are We Done Yet?	|	Nick Persons	Main Role
First Sunday	|	Durell	Main Role
The Longshots	|	Curtis Plummer	Main Role
Janky Promoters	|	Russell Redds	Main Role
Lottery Ticket (film)	Lottery Ticket	|	Jerome "Thump" Washington	Supporting Role
New Year's Eve (film)	New Year's Film	|	Police Officer	Supporting Role
Rampart (film)	Rampart	|	TBA	TBA
Last Friday	|	Craig Jones	Main Role pre-production
21 Jump Street	|	Capt. Dickson	Main Role

Television

Year 2010–present

Title	|	Role	Other notes
Are We There Yet? (TV series)	Are We There Yet? TV series	|	Terrence	Recurring Role

Video games

Year 2010

Title	|	Role	Other notes
''Call of Duty: Black Ops	|	Military Assistance Command, Vietnam – Studies and Observations Group>SOG multiplayer announcer	Voice actor

As director/writer/producer

Friday (1995) writer, executive producer

Dangerous Ground (1997) executive producer

The Players Club (1998) writer, director, executive producer

Next Friday (2000) writer, producer

All About The Benjamins (2002) writer, producer

Friday After Next (2002) writer, producer

BarberShop 2: Back in Business (2004) executive producer

BarberShop: The Series (2005) executive producer

Are We There Yet? (2005) producer

Beauty Shop (2005) executive producer

Black. White. (2006) executive producer

Are We Done Yet? (2007) producer

Friday: The Animated Series (2007) executive producer

Pirate Island (2008) producer

The Longshots (2008) producer

First Sunday (2008) producer

Straight Outta L.A. (2010) director

Are We There Yet? (TV series) (2010) executive producer

Last Friday (2012) writer, executive producer

Awards

Film award history

Ice Cube has received nominations for several films in the past. To date, he has won two awards:

2000: Blockbuster Entertainment Award: Favorite Action Team (for Three Kings)

2002: MECCA Movie Award: Acting Award

Music awards

VH1 Hip Hop Honors 2006

* 2006 Honoree Snoop Dogg

BET Hip-Hop Awards 2009

* I Am Hip-Hop Award

References

External links

Ice Cube Bio

Ice Cube: The Ten Greatest Rapper/Actors

Category:1969 births Category:Living people Category:Actors from California Category:African American Muslims Category:Converts to Islam Category:African-American film producers Category:African American film actors Category:African American rappers Category:American music video directors Category:American screenwriters Category:Capitol Records artists Category:N.W.A members Category:Priority Records artists Category:Rappers from Los Angeles, California Category:Ruthless Records artists

ar:آيس كيوب bg:Айс Кюб ca:Ice Cube cs:Ice Cube da:Ice Cube de:Ice Cube et:Ice Cube el:Ice Cube es:Ice Cube fa:آیس کیوب fr:Ice Cube fy:Ice Cube ko:아이스 큐브 hr:Ice Cube id:Ice Cube it:Ice Cube he:אייס קיוב ka:Ice Cube sw:Ice Cube lv:Ice Cube nl:Ice Cube ja:アイス・キューブ no:Ice Cube pl:Ice Cube pt:Ice Cube ro:Ice Cube ru:Ice Cube simple:Ice Cube sl:Ice Cube sh:Ice Cube fi:Ice Cube sv:Ice Cube ta:ஐஸ் கியூப் th:ไอซ์คิวบ์ tr:Ice Cube uk:Ice Cube zh:Ice Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of trigonal trapezohedron. The cube is dual to the octahedron. It has cubical symmetry (also called octahedral symmetry). It is special by being a cuboid and a rhombohedron.

Cartesian coordinates

{| class=wikitable |+ Orthographic projections |- | | |}

For a cube centered at the origin, with edges parallel to the axes and with an edge length of 2, the Cartesian coordinates of the vertices are : (±1, ±1, ±1) while the interior consists of all points (x₀, x₁, x₂) with −1 < x _i < 1.

Formulae

For a cube of edge length $a$, {|class="wikitable" |- |surface area |align=center|$6\; a^2$ |- |volume |align=center|$a^3$ |- |face diagonal |align=center|$\backslash sqrt\; 2a$ |- |space diagonal |align=center|$\backslash sqrt\; 3a$ |- |radius of circumscribed sphere |align=center|$\backslash frac\{\backslash sqrt\; 3\}\{2\}\; a$ |- |radius of sphere tangent to edges |align=center|$\backslash frac\{a\}\{\backslash sqrt\; 2\}$ |- |radius of inscribed sphere |align=center|$\backslash frac\{a\}\{2\}$ |- |angles between faces |align=center|$\backslash frac\{\backslash pi\}\{2\}$ |}

As the volume of a cube is the third power of its sides a×a×a, third powers are called cubes, by analogy with squares and second powers.

A cube has the largest volume among cuboids (rectangular boxes) with a given surface area. Also, a cube has the largest volume among cuboids with the same total linear size(length+width+height).

Uniform colorings and symmetry

The cube has three uniform colorings, named by the colors of the square faces around each vertex: 111, 112, 123.

The cube has three classes of symmetry, which can be represented by vertex-transitive coloring the faces. The highest octahedral symmetry O_h has all the faces the same color. The dihedral symmetry D_4h comes from the cube being a prism, with all four sides being the same color. The lowest symmetry D_2h is also a prismatic symmetry, with sides alternating colors, so there are three colors, paired by opposite sides. Each symmetry form has a different Wythoff symbol.

!Name	!Regular hexahedron	Prism (geometry)>prism	!Cuboid	!Trigonal trapezohedron
Coxeter-Dynkin diagram>Coxeter-Dynkin
!Schläfli symbol	{4,3}	{4}x{}	{}x{}x{}
!Wythoff symbol	3 | 4 2	4 2 | 2	| 2 2 2
List of spherical symmetry groups>Symmetry	Oh(*432)	D4h(*422)	D2h(*222)	D3d(2*3)
!Symmetry order	24	16	8	12
!Image(uniform coloring)

Geometric relations

A cube has 11 nets (one shown above): that is, there are 11 ways to flatten a hollow cube by cutting 7 edges. To colour the cube so that no two adjacent faces have the same colour, one would need at least 3 colours.

The cube is the cell of the only regular tiling of 3 dimensional Euclidean space. It is also unique among the Platonic solids in having faces with an even number of sides and, consequently, it is the only member of that group that is a zonohedron (every face has point symmetry).

The cube can be cut into 6 identical square pyramids. If these square pyramids are then attached to the faces of a second cube, a rhombic dodecahedron is obtained (with pairs of coplanar triangles combined into rhombic faces.)

Other dimensions

The analogue of a cube in four-dimensional Euclidean space has a special name—a tesseract or (rarely) hypercube.

The analogue of the cube in n-dimensional Euclidean space is called a hypercube or n-dimensional cube or simply n-cube. It is also called a measure polytope.

There are analogues of the cube in lower dimensions too: a point in dimension 0, a segment in one dimension and a square in two dimensions.

Related polyhedra

If the original cube has edge length 1, its dual polyhedron (an octahedron) has edge length $\backslash sqrt\{2\}$.

The vertices of a cube can be grouped into two groups of four, each forming a regular tetrahedron; more generally this is referred to as a demicube. These two together form a regular compound, the stella octangula. The intersection of the two forms a regular octahedron. The symmetries of a regular tetrahedron correspond to those of a cube which map each tetrahedron to itself; the other symmetries of the cube map the two to each other.

One such regular tetrahedron has a volume of ⅓ of that of the cube. The remaining space consists of four equal irregular tetrahedra with a volume of 1/6 of that of the cube, each.

The rectified cube is the cuboctahedron. If smaller corners are cut off we get a polyhedron with 6 octagonal faces and 8 triangular ones. In particular we can get regular octagons (truncated cube). The rhombicuboctahedron is obtained by cutting off both corners and edges to the correct amount.

A cube can be inscribed in a dodecahedron so that each vertex of the cube is a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces; taking all such cubes gives rise to the regular compound of five cubes.

If two opposite corners of a cube are truncated at the depth of the 3 vertices directly connected to them, an irregular octahedron is obtained. Eight of these irregular octahedra can be attached to the triangular faces of a regular octahedron to obtain the cuboctahedron.

All but the last of the figures shown have the same symmetries as the cube (see octahedral symmetry).

The quotient of the cube by the antipodal map yields a projective polyhedron, the hemicube.

The cube is a special case in various classes of general polyhedra: {| class=wikitable !Name!!Equal edge-lengths?!!Equal angles?!!Right angles? |- |Cube||Yes||Yes||Yes |- |Rhombohedron||Yes||Yes||No |- |Cuboid||No||Yes||Yes |- |Parallelepiped||No||Yes||No |- |quadrilaterally faced hexahedron||No||No||No |}

The cube is a part of a sequence of rhombic polyhedra and tilings with [n,3] Coxeter group symmetry. The cube can be seen as a rhombic hexahedron where the rhombi are squares.

Polyhedra	!Euclidean tiling	Hyperbolic tiling
![3,3]	![4,3]	![5,3]	![6,3]	![7,3]	![8,3]

Combinatorial cubes

A different kind of cube is the cube graph, which is the graph of vertices and edges of the geometrical cube. It is a special case of the hypercube graph.

An extension is the three dimensional k-ary Hamming graph, which for k = 2 is the cube graph. Graphs of this sort occur in the theory of parallel processing in computers.

See also

Unit cube

Tesseract

Cube (film)

Trapezohedron

Yoshimoto Cube

The Cube (game show)

Prince Rupert's cube

OLAP cube

References

External links

Editable printable net of a cube with interactive 3D view

Cube: Interactive Polyhedron Model

K.J.M. MacLean, A Geometric Analysis of the Five Platonic Solids and Other Semi-Regular Polyhedra

The Uniform Polyhedra

Virtual Reality Polyhedra

Volume of a cube, with interactive animation

Category:Platonic solids Category:Prismatoid polyhedra Category:Space-filling polyhedra Category:Volume Category:Zonohedra Category:Cubes

af:Kubus ar:مكعب az:Kub bs:Kocka bg:Куб ca:Cub cs:Krychle da:Terning de:Würfel (Geometrie) et:Kuup el:Κύβος es:Cubo eo:Kubo (geometrio) eu:Kubo fa:مکعب fr:Cube gan:立方體 gu:સમઘન ko:정육면체 hr:Kocka io:Kubo id:Kubus it:Cubo he:קובייה jv:Kubus kn:ಕ್ಯೂಬ್ (ಘನಾಕೃತಿ) ka:კუბი la:Cubus lv:Kubs lb:Wierfel lt:Kubas hu:Kocka ml:സമചതുരക്കട്ട mr:घन (भूमिती) ms:Kubus nl:Kubus (ruimtelijke figuur) ja:正六面体 no:Terning nn:Kube mhr:Куб pms:Cubo nds:Wörpel (Geometrie) pl:Sześcian (geometria) pt:Cubo ro:Cub qu:Machina ru:Куб scn:Cubbu simple:Cube sk:Kocka sl:Kocka sr:Коцка sh:Kocka su:Kubes fi:Kuutio sv:Kub (geometri) ta:அறுமுக கட்டகம் th:ทรงลูกบาศก์ tr:Küp uk:Куб vi:Khối lập phương zh:立方體