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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 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 talk 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. ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Dimensions (animation)」の詳細全文を読む スポンサード リンク
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