File:AcademViews Cube EquatorialCrossSectionOrthogonalToADiagonal.svg

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English: Elevation view and top view of half a cube. The notations are the same in this image. The colours and the notations are the same in this other one. T is the upper vertex of the original cube, S is its center, (TS ) is vertical. h is the difference in height between the endpoints of any edge of the cube. A horizontal plane passing through S intersects the original cube. The cross section is a regular hexagon, each vertex of which is the midpoint of an edge of the cube. Whatever the sense of the rotation, one third of a turn around (TS ) transforms into itself the original cube and its half. Such a rotation also preserves any cross section perpendicular to (TS ). This image evokes the set of the hexagonal cross sections of a cube orthogonal to a diagonal line of the cube.
Français : Vue en élévation et vue de dessus d’un demi-cube. The notations are the same dans cette image. Les couleurs et les notations sont les mêmes dans cette autre image. T est le sommet supérieur du cube initial, S est son centre, (TS ) est verticale. h est la différence de hauteur entre les extrêmités de n’importe quelle arête du cube. Un plan horizontal passant par S coupe le cube initial. La section est un hexagone régulier, dont chaque sommet est le milieu d’une arête du cube. Quel que soit le sens de la rotation, un tiers de tour autour de (TS ) transforme en lui-même le cube initial et sa moitié. Une telle rotation conserve aussi toute section plane perpendiculaire à (TS ). Cette image évoque l’ensemble des sections hexagonales d’un cube orthogonales à une droite diagonale du cube.
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Author Yves Baelde
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Date/TimeThumbnailDimensionsUserComment
current11:13, 1 October 2010Thumbnail for version as of 11:13, 1 October 2010720 × 720 (2 KB)Baelde (talk | contribs){{Information |Description={{en|1=Elevation view and top view of half a cube. The notations are the same {{nobr|in this image.}} The colours and the notations are the same {{nobr|in this [[:Fi

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