Dimensions (animation): Difference between revisions

Latest revision as of 03:17, 16 June 2025

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Dimensions is a French project that makes educational movies about mathematics, focusing on spatial geometry.^[1] It uses POV-Ray to render some of the animations, and the films are released under a Creative Commons licence.

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 polytopes (polychora), projecting the regular ones stereographically on the three-dimensional space.
Chapters 5 and 6: Complex numbers are about the square root of negative numbers, transformations, and fractals.
Chapters 7 and 8: Fibration show what a fibration is. Complex numbers are used again, and there are circles and tori rotating and being transformed.
Chapter 9: Proof emphasizes the importance of proofs in mathematics, and proves the circle-conservationess of the stereographic projection as an example.

They are available for download in several languages.^[2]

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 {{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]].
+'''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=free}}.</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.]]