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**Hypercube**


 * Obj 1) Introduction**

In the moment to realize scientific movies, math become in an interesting area to develop the drama. It exists many movies with mathematical themes. But when we want cross the limits of our own reality, to go to the inaccessible, then we think in other dimension. A four-dimensional space captures the attention of people of all word, it is a unimaginable thing. There exist forms and figures that are no possible in our three-dimensional world. This is the perfect excuse to do a mathematical film as: And this will be the theme to develop in these pages. Cube 2: Hypercube, a fiction movie on 2002, produced in España by E. Barbarash, P. Block, S. Colvin y M. Paseornek direct by Andrej Sekula.
 * //Strange Days at Blake Holsey High.// “En la serie canadiense [|El Colegio del Agujero Negro] (//Strange Days at Blake Holsey High////,// en la versión original), en el episodio 30 titulado //Tesseract//, el colegio se ve transformado en un hipercubo” [1]
 * El relato de [|Robert A. Heinlein], “...Y construyó una casa torcida’, se basa en el intento de un arquitecto visionario de construir una casa en forma de teseracto” [1]
 * Or [|Cube 2: Hypercube] the movie about a prison with hypercubical structure.

Hypercube is a fiction movie that was watched for the first time on 2002. This film was producted by E. Barbarash, P. Block, S. Colvin y M. Paseornek direct by Andrej Sekula in España. The movie is about people enclosed in a hypercube; these persons are not conscious of how neither why they are there. And try to discover the properties of their prison to escape. Is obvious that mathematic of this film turn around the idea of the hypercube, cubes and also some theories and formulas like the binomial theorem that appears wrote in walls and planes of the structure. These topics concerning to the area of geometry are the base of the trama. For these reasons Hypercube is a mathematical movie.
 * Obj 2) Hypercube**

To begin, we going to present a synthesis of the film´s topics: In the movie eight people was enclosed in a hypercubical structure with 60 millions of repeated cubical compartments which disappear and appear in other position of the figure and stay in movement, these cubes exist in simultaneous parallels realities of different times, were full of mortal traps. More over the hypercube is fickle between the cubes, there is changes of gravity and velocity. And is unstable because it can not be steady in a three dimensional world, then the cubical rooms are destroyed one to one since the implosion of the hypercube (Picture 6).
 * Obj 3) mathematical resume**

This is an opinion extracted of a web page: // “En el Cubo 2 no existe un espacio fijo para los habitáculos y no estamos hablando de un movimiento sincronizado o por piezas (como en //// Cube //// 1 //// ). Sino de un movimiento teórico en el que tiempo va mas despacio o mas deprisa.” [2] // //“Un hipercubo se define como un cubo desfasado en el tiempo, es decir, cada instante de tiempo por el cual se movió pero todos ellos juntos. Por supuesto no podemos ver un hipercubo en la cuarta dimensión, ya que solo se verían los puntos que tocan nuestro universo, así que solo veríamos un cubo común.// //No podemos ver un hipercubo porque estamos "encerrados" en tres dimensiones, por lo que solo podemos ver la proyección de lo que seria un hipercubo.”// [3]
 * Obj 4) cites of opinion**


 * Obj 5)** **Synthesis of mathematic arguments**

How we explain previously the truths from the movie are the following:

· 60 millions of cubes in the hypercube. · Rooms that moves, repeat, and teletransport its own. · Parallel realities of time that appear simultaneously → repeated people in the same place whom live different times. · Changes in velocity and gravity between rooms. · People enclosed in the hypercube

A four dimensional space is formed by length, wide, depth and spassitude. A figure with 24 square faces, 32 edges with same measure, 16 apex and 8 cubical cells; is called hypercube. These edges are perpendicular four to four. Remember that in a third-dimensional Cartesian plane to have a four perpendicular vector is impossible. In the length axis we can move us up to down; in wide, right to the left ; in depth, forward to back; in the fourth dimension the movement is called ana to kata. It means that hypercube are impossible in our third-dimensional word, then it is a theoretical structure. To have more understanding read the cite.
 * Real theory. (What is the truth?)

//“En [|geometría] un **teseracto** o **hipercubo** es una figura formada por dos [|cubos] tridimensionales desplazados en un cuarto eje dimensional (llamemos al primero longitud, el segundo altura y el tercero profundidad). En un espacio tetradimensional, el teseracto es un [|cubo] de cuatro dimensiones espaciales. Se compone de 8 celdas [|cúbicas], 24 caras [|cuadradas], 32 [|aristas] y 16 [|vértices], esto tomando en cuenta el desarrollo del polinomio (2x + 1)n donde el valor de **n** equivale al número de dimensiones (en este caso particular 4) y **x** es el largo, alto, ancho, etc., de la figura polidimensional [|equilátera].”// [4]

For the theory we know that there are not 60 millions of cubes in the hypercube, there are 8. Rooms do not moves, repeat, and teletransport its own because the movement in third dimension is ana to kata analogous to right to the left. Rooms not disappear and appear in other place because ana to kata is a continuous movement. It is absurd people enclosed in a theoretical geometric figure, because it is mental and untouchable.

“Parallel realities of time that appear simultaneously → repeated people in the same place whom live different times” and “changes in velocity and gravity between rooms” are traps of the prison. Wherever we can say that “not b → not a”; where “a” is “Parallel realities of time that appear simultaneously” and “b” is “repeated people in the same place whom live different times”.

Now; there are not people in hypercube → people is not repeated → there is not parallel realities of time. (The symbol → means imply)

Then the opinions of “centros5.pntic.mec.es” and “wikipedia” which is agreed whit the film is erred. Because, there is not other time dimension and the movement is continuous.


 * Obj 6) Personal critic**

Is very good that people was interested in making and watching mathematical movies. Thus people can see that mathematic is very entertaining. The creators of this movie take a very interesting theme, because perhaps geometry is one the most applicable, concrete and amusing areas of math.

However; they, whom make cinema, the artists, must be very careful when they work with science especially math; because science is exact and numbers do not mistake. Is a deception when you see a movie, waiting for a mathematical them, and find only a conglomerated of lies and manipulations of reality.


 * Obj 7) Conclusion**

The movie Hypercube is based in a hyperbole of reality. This mean that the real theory is manipulate to make more interesting the movie.


 * Obj 8) Annex**

Reparto Kari Matchett como //Kate Filmore// Geraint Wyn Davies como //Simon Grady// Grace Lynn Kung como //Sasha// Matthew Ferguson como //Max Reisler// Neil Crone como //Jerry Whitehall// Barbara Gordon como //Mrs Paley// Lindsey Connell como //Julia// Greer Kent como //Becky young// Bruce Gray como //Coronel Maguire// Philip Akin como //el general// Paul Robbins como //Tracton// Andrew Scorer como Doctor Phil Rosenzweig Reparto técnico // Música // Norman Orenstein //Fotografía de// Andrej Sekula //Guión de// Sean Hood, Ernie Barbarash y Lauren McLaughlin //Producida por// E. Barbarash, P. Block, S. Colvin y M. Paseornek //Dirigida por// Andrej Sekula DISTRIBUIDA EN VHS Y DVD POR PLANETA 2010 || Image take from []
 * ** FICHA TÉCNICA DE CUBE 2 HYPERCUBE **
 * ** FICHA TÉCNICA DE CUBE 2 HYPERCUBE **


 * Obj 8) Bibliography**

The cites 1, 3, 4 was extracted of []. The cite 1 was extracted of [].

[1] ( []).

[2] http://centros5.pntic.mec.es/ies.victoria.kent/Rincon-C/Alumnos/al-10/al-10.htm

[3] ( []). [4] ( []).