File:Academ Composing translations on tiling.svg

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English:
No matter that acts before the composition of the two translations is the same translation   The three transformations are members of the commutative group of translations which preserve the tiling of the wallpaper, if we imagine an infinite tiling that fills the entire space. The elements of the tiling are right triangles with same shape and size. Two triangular elements with a common side have different colors, gray and blue. If their common side is their larger leg, the two elements together shape an equilateral triangle. A vertex common to twelve elements is the center of a regular hexagon, that translations endlessly repeat to fill the whole plane. A quarter of regular hexagon is drawn in thick transparent lines, and its two successive images   In this image and in this other one, we find the same tiling and the same red arrow to represent 
 
Français :
Peu importe que agisse avant ou après  la composition des deux translations est la même translation nommée   Les trois transformations appartiennent au groupe commutatif des translations qui conservent le pavage du papier peint, si on imagine un pavage infini qui remplit l’espace en entier. Les éléments du pavage sont des triangles rectangles de même forme et même taille. Deux éléments triangulaires qui ont un côté commun sont de couleurs différentes, gris et bleu. Si leur côté commun est leur grand côté de l’angle droit, les deux éléments forment un triangle équilateral. Un sommet commun à douze éléments est le centre d’un hexagone régulier, que des translations répètent à l’infini pour remplir le plan en entier. Un quart d’hexagone régulier est tracé en trait épais transparent, ainsi que ses images successives   Dans cette image et dans cette autre, on retrouve le même pavage et la même flèche rouge 
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Author Yves Baelde
SVG development
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Date/TimeThumbnailDimensionsUserComment
current08:58, 31 March 2013Thumbnail for version as of 08:58, 31 March 2013750 × 600 (3 KB)Baelde (talk | contribs) better SVG code, better image 
06:48, 19 June 2012Thumbnail for version as of 06:48, 19 June 2012625 × 500 (3 KB)Baelde (talk | contribs)Back to «use» of the first version.  Why?  Without elements with tagname «use» under Firefox, a small change of the window size may produce an unstable and unexpected display of some triangular holes, as in PNG images.
08:02, 18 June 2012Thumbnail for version as of 08:02, 18 June 2012625 × 500 (4 KB)Baelde (talk | contribs)without xlink, with «stroke-linejoin="bevel"» specified in a new element, instead of the root element 
03:17, 16 August 2011Thumbnail for version as of 03:17, 16 August 2011625 × 500 (3 KB)Baelde (talk | contribs)some modifications, for example to get better arcs around the start points of the arrows through all software
14:43, 15 August 2011Thumbnail for version as of 14:43, 15 August 2011625 × 500 (3 KB)Baelde (talk | contribs){{Information |Description ={{en|1=<br/>No matter that <math style="vertical-align:0%">\mathit{F}</math> acts before <math style="vertical-align:-20%">\mathrm{~or~after~}\mathit{T},</math> the composition of the two transl

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