The "Einstein Tile" A geometric shape that does not repeat itself when tiled

ColinFrench

Escher would have had fun with this tile.

Linwelly

ColinFrench said:

Escher would have had fun with this tile.

That for sure 

LeatherGryphon

Are we sure that its apparent repetition isn't really just momentary stuttering?   And would a momentary stutter be sufficiently exact to establish a proper repeating tile? 

PerttiA

LeatherGryphon said:

Are we sure that its apparent repetition isn't really just momentary stuttering?   And would a momentary stutter be sufficiently exact to establish a proper repeating tile? 

And, so far there has only been pictures of untextured tiles, the surface would look quite different if there was real textures rotating with the tile. 

LeatherGryphon

PerttiA said:

LeatherGryphon said:

Are we sure that its apparent repetition isn't really just momentary stuttering?   And would a momentary stutter be sufficiently exact to establish a proper repeating tile? 

And, so far there has only been pictures of untextured tiles, the surface would look quite different if there was real textures rotating with the tile. 

But would be perfect if one was trying to tile a large plane with T-shirts(or stylized teapots).

parrotdolphin

Here's one I made in Illustrator and Photoshop Elements, just messing around with putting a pattern on the tiles.

stem_athome

Chumly said:

The cool thing, for our purposes though, is that if each of those tiles was a Patch of Grass, or a section of cobblestone, it would look a lot better and natural than the normal tiling Daz uses now and which the eye can find the pattern pretty quickly.

You can make tiling look more random by creating a procedural mix.

Simple example.

Pic1: Stone texture repeated 3 times.

Pic2: Same texture repeated 3 times, but with a rotated layer, mixed using perlin procedural texture.

 

It is a case of rotating/translating the top layer and scaling the weight (perlin noise) size to get a good result.

 

 

Artini

parrotdolphin said:

Here's one I made in Illustrator and Photoshop Elements, just messing around with putting a pattern on the tiles.

Sorry, but I still see the pattern repetition on that.

Artini

stem_athome said:

Chumly said:

The cool thing, for our purposes though, is that if each of those tiles was a Patch of Grass, or a section of cobblestone, it would look a lot better and natural than the normal tiling Daz uses now and which the eye can find the pattern pretty quickly.

You can make tiling look more random by creating a procedural mix.

Simple example.

Pic1: Stone texture repeated 3 times.

Pic2: Same texture repeated 3 times, but with a rotated layer, mixed using perlin procedural texture.

 

It is a case of rotating/translating the top layer and scaling the weight (perlin noise) size to get a good result.

 

 

That second image (with perlin noise applied) is a good example and gives illusion of non repetitive patterns.

 

Linwelly

parrotdolphin said:

Here's one I made in Illustrator and Photoshop Elements, just messing around with putting a pattern on the tiles.

I like that 

FirePro9

Another article about potential use of the Einstein Tile in material science.

https://www.thebrighterside.news/post/einstein-shape-tiles-will-revolutionize-material-science

Also, cool alternate image provided.