File:Academ Composing translations on tiling.svg
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Summary
[edit]DescriptionAcadem Composing translations on tiling.svg |
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 |
Date | |
Source | Own work |
Author | Yves Baelde |
SVG development InfoField | This vector image was created with a text editor. |
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
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- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 08:58, 31 March 2013 | 750 × 600 (3 KB) | Baelde (talk | contribs) | better SVG code, better image | |
06:48, 19 June 2012 | 625 × 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 2012 | 625 × 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 2011 | 625 × 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 2011 | 625 × 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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Width | 750 |
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Height | 600 |