File:Academ Reflections with parallel axis on wallpaper.svg
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[edit]DescriptionAcadem Reflections with parallel axis on wallpaper.svg |
English: A given translation may be decomposed into two reflections with parallel axis: two lines here named Δ 1 and Δ 2 . If one of the reflections or is given, the axis of which is perpendicular to the direction of the other reflection is unique which fulfills the equality: There is a unique translation that transforms Δ 1 into Δ 2 , then The trapezoid ABCD is part of the tiling of the top of the drawing, where the triangular elements are green and yellow. Across the line Δ 1, the tiling and ABCD are transformed by the reflection the trapezoid ABCD becomes A 1 B 1 C 1 D 1 , and the elements of the tiling become blue and gray as in this image or this other one. The image of ABCD through the translation is the trapezoid A 2 B 2 C 2 D 2 , that is filled by three elements of the first tiling, one green triangle and two yellow. |
Date | |
Source | Own work |
Author | Yves Baelde |
SVG development InfoField | 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
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- 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.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 14:43, 27 October 2022 | 600 × 600 (5 KB) | Arthur Baelde (talk | contribs) | alternation of two colours of the quadrilateral at each transformation by reflection, and other improvements | |
10:24, 31 May 2022 | 600 × 600 (4 KB) | Arthur Baelde (talk | contribs) | New source code of patterns, new colors, arrows and writings, letter U instead of S | ||
12:08, 22 March 2013 | 750 × 750 (4 KB) | Baelde (talk | contribs) | better SVG code, better image | ||
15:02, 18 September 2011 | 625 × 625 (4 KB) | Baelde (talk | contribs) | code SVG stroke-linejoin="bevel" in element g | ||
05:18, 16 August 2011 | 625 × 625 (4 KB) | Baelde (talk | contribs) | some modifications, for example to get better arcs around the start points of the arrows through all software, I hope | ||
15:36, 15 August 2011 | 625 × 625 (4 KB) | Baelde (talk | contribs) | {{Information |Description ={{en|1=<br/>A given translation <math>\mathit{T}</math> may be decomposed into two reflections with parallel axis: two lines here named {{nobr|''Δ''<sub> 1</sub>  |
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Width | 600 |
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Height | 600 |