- Dimensions
Dimensions is a French project that makes educational movies about
mathematics , focusing on spacial geometry. It usesPOV-Ray to render some of the animations, and the films are release under aCreative Commons licence .The film is separated in nine chapters, which follow this plot:
* Chapter 1: Dimension two explains
Earth 's coordinate system, and introduces thestereographic projection .
* Chapter 2: Dimension three discusses how two-dimensional beings would imagine three-dimensional objects.
* Chapters 3 and 4: The fourth dimension talk aboutfour-dimensional polytope s ("polychora"), projecting the regular ones stereographically on the three-dimentional space.
* Chapters 5 and 6: Complex numbers are about the square root of negative numbers, transformations, andfractal s.
* Chapters 7 and 8: Fibration show what afibration is. Complex numbers are used again, and there arecircle s 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.External Link
The project's
website is [http://www.dimensions-math.org/ http://www.dimensions-math.org/] .
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