Tiling bathroom floor with glazed terracotta tiles

[Garald]

I'm minded to tile the floor in a bathroom and a toilet with Portuguese terracotta tiles, in an aperiodic tiling (like Penrose's, but using squares and equilateral triangles; see https://tilings.math.uni-bielefeld.de/substitution/square-triangle/). Before I go further: is there a reason why I should *not* do this? The tiles are not cheap (ca. 200 eur/m^2), so this would be an expensive mistake. (Well, perhaps not compared to other expensive mistakes: the total area to be tiled is between 8 and 9m^2.)

 

https://newterracotta.com/tiles/

 

PS. I am looking for reasons such as "it won't last" or "you will slip and break your neck", not "I hate maths".

 

Here are some samples. (I also got others, but these seem to be colours that fit together. I should choose two or three.)

 

Edited October 20, 2022 by Garald

[Temp]

How do the triangles and squares fit together without large grout gaps?

[Garald]

  On 20/10/2022 at 16:55, Temp said:

How do the triangles and squares fit together without large grout gaps?

Expand  

 

Oh ye of little faith!

 

https://tilings.math.uni-bielefeld.de/substitution/square-triangle/

 

and of course also less complex ways.

[Temp]

  On 20/10/2022 at 11:49, Garald said:

Expand  

 

Yes but the square in the photo appear to have sides longer than the sides of the triangle. You would have to cut every square tile smaller. 

 

 

Edited October 20, 2022 by Temp

[Temp]

PS I do love the colour of the triangular tile.

[Garald]

  On 20/10/2022 at 22:55, Temp said:

 

Yes but the square in the photo appear to have sides longer than the sides of the triangle. You would have to cut every square tile smaller. 

 

 

Expand  

 

Optical illusion. See:

 

[Garald]

At any rate, here is a segment of the pattern that I could use for my bathroom (about 280cm by 210cm, once insulation is installed). The plan is to have the pattern even on the shower floor (there is no bathtub). I forgot to take the width of the grout (2mm to 3mm) into account, so one should probably omit the last row and the last column or so.

 

[Garald]

Here's a larger pattern (produced by some Python code I hacked up yesterday). One can pick up whatever rectangular "windows" one wants. As an example, I've selected one window of the size of my bathroom and one that is toilet-sized (70cm by 210cm). It is also possible to produced patterns that, while still aperiodic, have more symmetry. I'm attaching an example with 12-fold symmetry.

example1clear.pdfFetching info... example1veryclear.pdfFetching info... example3clear.pdfFetching info...

Edited October 27, 2022 by Garald