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  • Re: A fun penta tile...

    From Moebius@21:1/5 to All on Thu Dec 5 07:26:25 2024
    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.

    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

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Moebius@21:1/5 to All on Thu Dec 5 08:11:02 2024
    Am 05.12.2024 um 07:34 schrieb Chris M. Thomasson:
    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

    https://plus.maths.org/content/trouble-five

    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




    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
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