File talk:A Pythagorean tiling View 1.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Classify

[edit]

Since 15 october 2012,  there is a category called "Pythagorean_tiling" that contains 31 images at the present time.  Here are these images.

 
According to the introduction sentence of the category, a "Pythagorean tiling" would be  "a tessellation of the plane by squares  of two different sizes,  used as a design pattern and as the basis for multiple proofs of the Pythagorean theorem".  However, in case of isosceles right triangles, the Pythagorean theorem can be proved also through a tiling, invented from the right triangle.  In this particular case, any vertex of any tile belongs to four congruent tiles:  the tiling is regular.  The creator of "Category:Pythagorean_tiling" had given to "Pythagorean tiling" the same meaning on Wikipedia.  And "Category:Pythagorean_tiling" was for me an occasion  to question the author about this meaning.  But he has chosen to say nothing  about the case where the initial triangle is isosceles.

The current page "Category:Pythagorean_tiling"  displays four parent categories:
Pythagorean theorem | Squares (shape) | Tessellations | Wallpaper group p4
Someone searching images about a mathematical subject like a group of transformations (example: "Category:Wallpaper_group_p4") or the Pythagorean theorem discovers images in a category.  Such a category must not contain images that could be a base to create other images, which could explain this or that in mathematics.  For example, we learn nothing in mathematics by looking at a photo taken in a town, where we can find a pavement that looks like a wallpaper.  Conversely, Wikimedia must allow everybody to look at a gallery of wallpapers without worrying about mathematics in any way.

 
No mathematical subject on the image corresponding to this discussion page.
The image and its other versions belong to the following categories:
Category:SVG patterns
Category:Tessellations
Category:Squares (shape)
Category:SVG regular polygons
— Baelde (talk) 12:57, 19 November 2012 (UTC)[reply]
 

Tree of categories

[edit]

Category "Pythagorean tiling" is no longer  a subcategory of category "Pythagorean theorem", it is better.  Here is the current content of category "Pythagorean tiling":  70 images.

  • "Countless squares".svg 2 KB
    "Countless squares".svg
    2 KB
  • "Really square".svg 2 KB
    "Really square".svg
    2 KB
  • "Squares of six different sizes in a repetitive pattern".svg 1 KB
    "Squares of six different sizes in a repetitive pattern".svg
    1 KB
  • 006 A wallpaper.svg 2 KB
    006 A wallpaper.svg
    2 KB
  • 007 A wallpaper.svg 2 KB
    007 A wallpaper.svg
    2 KB
  • 06 A wallpaper.svg 2 KB
    06 A wallpaper.svg
    2 KB
  • 06B A wallpaper.svg 2 KB
    06B A wallpaper.svg
    2 KB
  • 07 A wallpaper.svg 2 KB
    07 A wallpaper.svg
    2 KB
  • 07B A wallpaper.svg 2 KB
    07B A wallpaper.svg
    2 KB
  • 07C A wallpaper.svg 2 KB
    07C A wallpaper.svg
    2 KB
  • 07D A wallpaper.svg 3 KB
    07D A wallpaper.svg
    3 KB
  • 08 A wallpaper.svg 3 KB
    08 A wallpaper.svg
    3 KB
  • A pattern of Pythagorean tiling.svg 2 KB
    A pattern of Pythagorean tiling.svg
    2 KB
  • A pattern Squares of different sizes.svg 1 KB
    A pattern Squares of different sizes.svg
    1 KB
  • A pattern Two explanatory grids.svg 3 KB
    A pattern Two explanatory grids.svg
    3 KB
  • A Pythagorean tiling View 1.svg 669 B
    A Pythagorean tiling View 1.svg
    669 B
  • A Pythagorean tiling View 10.svg 688 B
    A Pythagorean tiling View 10.svg
    688 B
  • A Pythagorean tiling View 2.svg 672 B
    A Pythagorean tiling View 2.svg
    672 B
  • A Pythagorean tiling View 3.svg 670 B
    A Pythagorean tiling View 3.svg
    670 B
  • A Pythagorean tiling View 4.svg 685 B
    A Pythagorean tiling View 4.svg
    685 B
  • A Pythagorean tiling View 5.svg 689 B
    A Pythagorean tiling View 5.svg
    689 B
  • A Pythagorean tiling View 6.svg 691 B
    A Pythagorean tiling View 6.svg
    691 B
  • A Pythagorean tiling View 7.svg 798 B
    A Pythagorean tiling View 7.svg
    798 B
  • A Pythagorean tiling View 8.svg 685 B
    A Pythagorean tiling View 8.svg
    685 B
  • A Pythagorean tiling View 9.svg 682 B
    A Pythagorean tiling View 9.svg
    682 B
  • A tiling and a proof of the Pythagorean theorem.svg 3 KB
    A tiling and a proof of the Pythagorean theorem.svg
    3 KB
  • A tiling in order to prove the Pythagorean theorem.svg 2 KB
    A tiling in order to prove the Pythagorean theorem.svg
    2 KB
  • A tri-colored Pythagorean tiling View 1.svg 851 B
    A tri-colored Pythagorean tiling View 1.svg
    851 B
  • A tri-colored Pythagorean tiling View 2.svg 846 B
    A tri-colored Pythagorean tiling View 2.svg
    846 B
  • A tri-colored Pythagorean tiling View 3.svg 816 B
    A tri-colored Pythagorean tiling View 3.svg
    816 B
  • A tri-colored Pythagorean tiling View 4.svg 815 B
    A tri-colored Pythagorean tiling View 4.svg
    815 B
  • A tri-colored Pythagorean tiling View 5.svg 846 B
    A tri-colored Pythagorean tiling View 5.svg
    846 B
  • A tri-colored Pythagorean tiling View 6.svg 846 B
    A tri-colored Pythagorean tiling View 6.svg
    846 B
  • A tri-colored Pythagorean tiling View 7.svg 846 B
    A tri-colored Pythagorean tiling View 7.svg
    846 B
  • A tri-colored Pythagorean tiling View 8.svg 830 B
    A tri-colored Pythagorean tiling View 8.svg
    830 B
  • A wallpaper pattern Overlaid patterns.svg 1 KB
    A wallpaper pattern Overlaid patterns.svg
    1 KB
  • A wallpaper pattern with squares.svg 1 KB
    A wallpaper pattern with squares.svg
    1 KB
  • A wallpaper with squares.svg 1 KB
    A wallpaper with squares.svg
    1 KB
  • About a Pythagorean tiling.svg 2 KB
    About a Pythagorean tiling.svg
    2 KB
  • Academ Common periodicity of three tilings by squares.svg 927 B
    Academ Common periodicity of three tilings by squares.svg
    927 B
  • Academ Different repetitive patterns of a same wallpaper.svg 2 KB
    Academ Different repetitive patterns of a same wallpaper.svg
    2 KB
  • Academ Four periodic patterns of a wallpaper.svg 2 KB
    Academ Four periodic patterns of a wallpaper.svg
    2 KB
  • Academ Jigsaw puzzle and mnemonic for the Pythagorean theorem.svg 3 KB
    Academ Jigsaw puzzle and mnemonic for the Pythagorean theorem.svg
    3 KB
  • Academ Periodic tiling by squares of two different sizes.svg 716 B
    Academ Periodic tiling by squares of two different sizes.svg
    716 B
  • Academ Periodic tiling by squares of two kinds.svg 709 B
    Academ Periodic tiling by squares of two kinds.svg
    709 B
  • Academ Periodic tilings by squares.svg 968 B
    Academ Periodic tilings by squares.svg
    968 B
  • Academ Pythagorean theorem Proof and mnemonic.svg 3 KB
    Academ Pythagorean theorem Proof and mnemonic.svg
    3 KB
  • Academ Pythagorean theorem through a tiling pattern.svg 3 KB
    Academ Pythagorean theorem through a tiling pattern.svg
    3 KB
  • Academ Pythagorean tiling and Pythagorean theorem.svg 3 KB
    Academ Pythagorean tiling and Pythagorean theorem.svg
    3 KB
  • Academ Pythagorean tilings on a grid for children.svg 1 KB
    Academ Pythagorean tilings on a grid for children.svg
    1 KB
  • Academ Size ratio of 2 or 3 for two tiles of Pythagorean tiling.svg 858 B
    Academ Size ratio of 2 or 3 for two tiles of Pythagorean tiling.svg
    858 B
  • Academ Squares of two kinds in a periodic tiling.svg 709 B
    Academ Squares of two kinds in a periodic tiling.svg
    709 B
  • Academ Three periodic patterns of a wallpaper.svg 2 KB
    Academ Three periodic patterns of a wallpaper.svg
    2 KB
  • Academ Three Pythagorean tilings.svg 1 KB
    Academ Three Pythagorean tilings.svg
    1 KB
  • Academ Three repetitive patterns of a Pythagorean tiling.svg 1 KB
    Academ Three repetitive patterns of a Pythagorean tiling.svg
    1 KB
  • Academ Tilings by squares Wallpaper with grid.svg 1 KB
    Academ Tilings by squares Wallpaper with grid.svg
    1 KB
  • Academ Translations depicted on a wallpaper.svg 1 KB
    Academ Translations depicted on a wallpaper.svg
    1 KB
  • Academ Two similar patterns are overlaid.svg 1,016 B
    Academ Two similar patterns are overlaid.svg
    1,016 B
  • Academ Wallpaper overlaying three tilings by squares.svg 939 B
    Academ Wallpaper overlaying three tilings by squares.svg
    939 B
  • Distorted truncated square tiling.png 3 KB
    Distorted truncated square tiling.png
    3 KB
  • Distorted truncated square tiling.svg 2 KB
    Distorted truncated square tiling.svg
    2 KB
  • Distorted truncated square tiling2.png 3 KB
    Distorted truncated square tiling2.png
    3 KB
  • Overlaid Pythagorean tilings.svg 18 KB
    Overlaid Pythagorean tilings.svg
    18 KB
  • Overlaying two Pythagorean tilings with slope of 0 or 1 for any tile.svg 796 B
    Overlaying two Pythagorean tilings with slope of 0 or 1 for any tile.svg
    796 B
  • Overlaying two Pythagorean tilings with slope of 0 or 1 for every tile.svg 794 B
    Overlaying two Pythagorean tilings with slope of 0 or 1 for every tile.svg
    794 B
  • Overlaying two Pythagorean tilings with slope of 1 or 0 for any tile.svg 796 B
    Overlaying two Pythagorean tilings with slope of 1 or 0 for any tile.svg
    796 B
  • Overlaying two Pythagorean tilings with slope of 1 or 0 for every tile.svg 796 B
    Overlaying two Pythagorean tilings with slope of 1 or 0 for every tile.svg
    796 B
  • Pythagorean dissections.svg 5 KB
    Pythagorean dissections.svg
    5 KB
  • Pythagorean tiling section.svg 4 KB
    Pythagorean tiling section.svg
    4 KB
  • Verband-Bodenbelag retouched.jpg 591 KB
    Verband-Bodenbelag retouched.jpg
    591 KB

— Baelde (talk) 10:07, 11 July 2013 (UTC)[reply]

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File_talk:A_Pythagorean_tiling_View_1.svg&oldid=99828775"