Misplaced Pages

Dimensions (animation)

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.
For other uses, see Dimension (disambiguation).
This article relies excessively on references to primary sources. Please improve this article by adding secondary or tertiary sources.
Find sources: "Dimensions" animation – news · newspapers · books · scholar · JSTOR (May 2014) (Learn how and when to remove this message)

Dimensions is a French project that makes educational movies about mathematics, focusing on spatial geometry. 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.

References

  1. Alvarez, Aurélien; Leys, Jos (2012), "Dimensions, a Math Movie", Mathematics and Modern Art: Proceedings of the First ESMA Conference, held in Paris, July 19-22, 2010, Springer Proceedings in Mathematics, vol. 18, pp. 11–16, doi:10.1007/978-3-642-24497-1_2.
  2. "Clay Award for Dissemination | Clay Mathematics Institute". Archived from the original on 2020-02-27. Retrieved 2016-03-02.

External links


Stub icon

This article about a mathematical publication is a stub. You can help Misplaced Pages by expanding it.

Stub icon

This geometry-related article is a stub. You can help Misplaced Pages by expanding it.

Stub icon

This topology-related article is a stub. You can help Misplaced Pages by expanding it.

Categories: