Academ_Reflections_with_parallel_axis_on_wallpaper.svg
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Summary
Description Academ 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 |
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Arthur Baelde
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Arthur Baelde
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