File:Academ Three concentric platonic solids in a cube.svg
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English: Perspective of a cube by orthographic projection onto a diagonal plane of the cube. The twelve diagonals of the square faces of the cube are the edges of two regular tetrahedra inside the cube, symmetrical to one another with respect to the center of the cube. The volume and the faces of the cube are empty, the edges of the tetrahedra are not dashed depicted. From the cube, we can imagine the truncations of four congruent regular pyramids to obtain each regular tetrahedron. The intersection of the tetrahedra is a regular octahedron, of which the vertices are the centers of the faces of the cube. As in this image or this other one, h denotes one third of the diagonal length of the cube, et 2 γ is the angle between two adjacent faces of a regular tetrahedron.
Français : Perspective d’un cube par projection orthogonale sur un plan diagonal du cube. Les douze diagonales des faces carrées du cube sont les arêtes de deux tétraèdres réguliers à l’intérieur du cube, symétriques l’un de l’autre par rapport au centre du cube. Le volume et les faces du cube sont vides, les arêtes des tétraèdres ne sont pas représentées en pointillés. À partir du cube, on peut imaginer les troncatures de quatre pyramides régulières isométriques pour obtenir chaque tétraèdre régulier. L’intersection des tétraèdres est un octaèdre régulier, dont les sommets sont les centres des faces du cube. Comme dans cette image ou cette autre, h désigne un tiers de la longueur d’une diagonale du cube, et 2 γ est l’angle entre deux faces adjacentes d’un tétraèdre régulier. |
| Date | |
| Source | Own work |
| Author | Yves Baelde |
| SVG development |  This /Baelde was created with a text editor. |
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Arthur Baelde, the copyright holder of this work, hereby publishes it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution: Arthur Baelde
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:35, 9 October 2010 | | 720 × 576 (2 KB) | Baelde (talk | contribs) | {{Information |Description={{en|1=Perspective of a cube by orthographic projection onto a diagonal plane of the cube. The twelve diagonals of the square faces of the cube are the edges of two regular tetrahedra inside the cub |
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