Editing Dimensions (animation) (section)

{{other uses|Dimension (disambiguation)}}
{{primary sources|date=May 2014}}

'''Dimensions''' is a French project that makes educational movies about [[mathematics]], focusing on [[Euclidean space|spatial geometry]].<ref>{{citation|contribution=Dimensions, a Math Movie|first1=Aurélien|last1=Alvarez|first2=Jos|last2=Leys|title=Mathematics and Modern Art: Proceedings of the First ESMA Conference, held in Paris, July 19-22, 2010|series=Springer Proceedings in Mathematics|volume=18|doi=10.1007/978-3-642-24497-1_2|year=2012|pages=11–16|doi-access=}}.</ref> It uses [[POV-Ray]] to render some of the animations, and the films are released under a [[Creative Commons licence]].

[[Image:Dimensions-math 4A-5.jpg|thumb|right|The fourth chapter, showing the stereographic projection of a [[polychoron]] on our three-dimensional space.]]
The film is separated in nine chapters, which follow this plot:

* '''Chapter 1: Dimension two''' explains [[Earth]]'s coordinate system, and introduces the [[stereographic projection]].
* '''Chapter 2: Dimension three''' discusses how two-dimensional beings would imagine three-dimensional objects.
* '''Chapters 3 and 4: The fourth dimension''' talks about [[four-dimensional]] [[polytope]]s (''polychora''), projecting the regular ones stereographically on the three-dimensional space.
* '''Chapters 5 and 6: Complex numbers''' are about the [[complex number|square root of negative numbers]], [[Transformation (geometry)|transformation]]s, and [[fractal]]s.
* '''Chapters 7 and 8: Fibration''' show what a [[fibration]] is. Complex numbers are used again, and there are [[circle]]s and [[torus|tori]] rotating and being transformed.
* '''Chapter 9: Proof''' emphasizes the importance of [[Mathematical proof|proofs]] in mathematics, and proves the circle-conservationess of the stereographic projection as an example.

They are available for download in several languages.<ref>{{Cite web|url=http://www.claymath.org/events/news/clay-award-dissemination|title=Clay Award for Dissemination &#124; Clay Mathematics Institute|access-date=2016-03-02|archive-date=2020-02-27|archive-url=https://web.archive.org/web/20200227081632/http://www.claymath.org/events/news/clay-award-dissemination|url-status=dead}}</ref>