Re: A fun penta tile...

On 12/4/2024 10:26 PM, Moebius wrote:

Am 05.12.2024 um 06:58 schrieb Chris M. Thomasson:

Just playing around and I got the pure pentagonal tile down wrt an infinite "strip". Here is a crude example:
>
https://i.ibb.co/vLy94Jf/image.png

 Outch ... my eyes are hurting! Very nixe... :-)
 

However, I am not sure how to make it go up and down without adding another tile... (y axis). I can make it go left and right (x-axis). Well... I can make it go up and down by introducing a rhombus, sorry for some imprecision, just goofing around here having fun:
>
https://i.ibb.co/NmdY7Qb/image.png

 Ah... Seems familiar, somehow.

It might be another try of mine where the only way I could do it was to add a damn rhombus?
https://i.ibb.co/VMMSrCy/image.png
Trying to make it tile up and down _without_ using a rhombus via y axis makes me bang my head against a wall. Here is an older work of mine:
https://i.ibb.co/VMMSrCy/image.png

 

Is this anything new? If not where can I learn more about it?

 There's a whole field in math dealing with this and similar stuff!
 https://en.wikipedia.org/wiki/Tessellation
https://mathworld.wolfram.com/Tessellation.html
 See the sources too.
 More fun:
https://uni-tuebingen.de/fakultaeten/mathematisch- naturwissenschaftliche-fakultaet/fachbereiche/informatik/lehrstuehle/ algorithms-in-bioinformatics/software/tegula