Discussion:
A fun penta tile...
(too old to reply)
Chris M. Thomasson
2024-12-05 05:58:13 UTC
Permalink
Just playing around and I got the pure pentagonal tile down wrt an
infinite "strip". Here is a crude example:

Loading Image...

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:

Loading Image...

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

Thanks everybody! :^)
Moebius
2024-12-05 06:26:25 UTC
Permalink
Post by Chris M. Thomasson
Just playing around and I got the pure pentagonal tile down wrt an
https://i.ibb.co/vLy94Jf/image.png
Outch ... my eyes are hurting! Very nixe... :-)
Post by Chris M. Thomasson
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
https://i.ibb.co/NmdY7Qb/image.png
Ah... Seems familiar, somehow.
Post by Chris M. Thomasson
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
Chris M. Thomasson
2024-12-05 06:34:34 UTC
Permalink
Post by Moebius
Post by Chris M. Thomasson
Just playing around and I got the pure pentagonal tile down wrt an
https://i.ibb.co/vLy94Jf/image.png
Outch ... my eyes are hurting! Very nixe... :-)
Post by Chris M. Thomasson
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
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?

Loading Image...

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
Post by Moebius
Post by Chris M. Thomasson
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.
https://uni-tuebingen.de/fakultaeten/mathematisch-
naturwissenschaftliche-fakultaet/fachbereiche/informatik/lehrstuehle/
algorithms-in-bioinformatics/software/tegula
Moebius
2024-12-05 07:11:02 UTC
Permalink
Post by Chris M. Thomasson
Post by Moebius
Post by Chris M. Thomasson
Just playing around and I got the pure pentagonal tile down wrt an
https://i.ibb.co/vLy94Jf/image.png
Outch ... my eyes are hurting! Very nixe... :-)
Post by Chris M. Thomasson
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
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
https://i.ibb.co/VMMSrCy/image.png
https://plus.maths.org/content/trouble-five
Post by Chris M. Thomasson
Post by Moebius
Post by Chris M. Thomasson
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.
https://uni-tuebingen.de/fakultaeten/mathematisch-
naturwissenschaftliche-fakultaet/fachbereiche/informatik/lehrstuehle/
algorithms-in-bioinformatics/software/tegula
Chris M. Thomasson
2024-12-08 03:14:14 UTC
Permalink
Post by Moebius
Post by Chris M. Thomasson
Post by Moebius
Post by Chris M. Thomasson
Just playing around and I got the pure pentagonal tile down wrt an
https://i.ibb.co/vLy94Jf/image.png
Outch ... my eyes are hurting! Very nixe... :-)
Post by Chris M. Thomasson
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
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
https://i.ibb.co/VMMSrCy/image.png
https://plus.maths.org/content/trouble-five
Post by Chris M. Thomasson
Post by Moebius
Post by Chris M. Thomasson
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.
https://uni-tuebingen.de/fakultaeten/mathematisch-
naturwissenschaftliche-fakultaet/fachbereiche/informatik/lehrstuehle/
algorithms-in-bioinformatics/software/tegula
Thanks!

Chris M. Thomasson
2024-12-07 21:16:46 UTC
Permalink
Post by Chris M. Thomasson
Just playing around and I got the pure pentagonal tile down wrt an
https://i.ibb.co/vLy94Jf/image.png
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
https://i.ibb.co/NmdY7Qb/image.png
Is this anything new? If not where can I learn more about it?
Thanks everybody! :^)
Almost have an algorithm for it:

Loading Image...
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