File:AcademViews RegularTetrahedron in a cube.svg
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Size of this PNG preview of this SVG file: 461 × 599 pixels. Other resolutions: 184 × 240 pixels | 369 × 480 pixels | 591 × 768 pixels | 788 × 1,024 pixels | 1,575 × 2,048 pixels | 720 × 936 pixels.
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English: Elevation view and top view of the edges of a cube and a regular tetrahedron. The diagonal [VT ] of the cube is vertical, [TK ] and [MN ] are two orthogonal diagonals of two opposite faces of the cube. The equilateral triangle KMN is horizontal. The midpoint S of [VT ] is the common center of the cube and the tetrahedron TKMN. The points have the same locations in this drawing and this other one. When seen from above, the outlines of the tetrahedron and the cube are an equilateral triangle and a regular hexagon. The centroid S of the tetrahedron is also the origin of a cartesian coordinate system, of which the three axis are inclined at the same angle γ. The front view does not distort the angle between (Sz ) and a horizontal plane. A rotation of 120° around (TS ) preserves the figure. The coordinates of the vertices of TKMN are in the top view for K, M et N, and in the front view for T : (1 ; 1 ; 1).
Français : Vue en élévation et vue de dessus des arêtes d’un cube et d’un tétraèdre régulier. La diagonale [VT ] du cube est verticale, [TK ] et [MN ] sont deux diagonales orthogonales de deux faces opposées du cube. Le triangle équilatéral KMN est horizontal. Le milieu S de [VT ] est le centre commun du cube et du tétraèdre TKMN. Les points ont les mêmes positions dans ce dessin et dans cet autre. Vus de dessus, les contours du tétraèdre et du cube sont un triangle équilatéral et un hexagone régulier. L’isobarycentre S du tétraèdre est aussi l’origine d’un repère orthonormé, dont les trois axes sont inclinés du même angle γ. La vue en élévation ne déforme pas l’angle entre (Sz ) et un plan horizontal. Une rotation de 120° autour de (TS ) conserve la figure. Les coordonnées des sommets de TKMN sont inscrites dans la vue de dessus pour K, M et N, et en élévation pour T : (1 ; 1 ; 1). |
| Date | |
| Source | Own work |
| Author | Yves Baelde |
| SVG development |  This /Baelde was created with a text editor. |
Licensing[edit]
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 | 09:03, 9 October 2010 | | 720 × 936 (4 KB) | Baelde (talk | contribs) | {{Information |Description={{en|1=Elevation view and top view of the edges of a cube and a regular tetrahedron. The diagonal [''VT ''] of the cube is vertical, [''TK ''] and [''MN ''] are two orthogonal di |
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