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Penrose Tiles

wklee
Jan. 3, 2026
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    wklee
    Members 221 posts
    Jan. 3, 2026, 3:34 p.m. Jan. 3, 2026, 3:34 p.m.
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    There are Penrose Tiles named after Roger Penrose. Those appear to be seamless (non repeating) Tiles. They appear to have been found in some Historical sites.

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    davidwien
    Team 2069 posts
    Jan. 3, 2026, 3:56 p.m. Jan. 3, 2026, 3:56 p.m.
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    So what?

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    xpatUSA
    Members 1570 posts
    Jan. 3, 2026, 4:50 p.m. Jan. 3, 2026, 4:50 p.m.
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    @davidwien has written:

    So what?

    Friendly as usual.

    I remember those tiles from when I was into DIY stuff.

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    Daneland
    Members 2181 posts
    Jan. 3, 2026, 6:55 p.m. Jan. 3, 2026, 6:55 p.m.
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    @wklee has written:

    There are Penrose Tiles named after Roger Penrose. Those are seamless repeatable Tiles. They appear to have been found in some Historical sites.

    Thanks. I have learnt something new today :)

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    davidwien
    Team 2069 posts
    Jan. 3, 2026, 8:25 p.m. Jan. 3, 2026, 8:25 p.m.
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    A picture is supposed to be worth several words!

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    AlanSh
    Forum Admin 4200 posts
    Jan. 3, 2026, 11:34 p.m. Jan. 3, 2026, 11:34 p.m.
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    @wklee has written:

    There are Penrose Tiles named after Roger Penrose. Those are seamless repeatable Tiles. They appear to have been found in some Historical sites.

    Did you mean to provide a photo to go along with the text?

    Alan

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    Thread has been moved from Misplaced Posts.

    • By AlanSh on Jan. 3, 2026, 11:34 p.m..
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    Bryan
    Members 1923 posts
    Jan. 3, 2026, 11:35 p.m. Jan. 3, 2026, 11:35 p.m.
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    I had a lot of fun when I discovered Penrose tiling quite some years ago...

    Sun and cartwheel - created in SketchUp. Unfortunately the image export is basically just a screenshot so fine detail is lost.

    [Edit] If you look closely in the sun pattern, the kite and dart shapes are repeated in the same pattern on a larger scale. This repetition is itself repeated as the tiling grows bigger and bigger.

    Penrose Sun Deflate.png

    Penrose Cartwheel.png

    Penrose Cartwheel.png

    PNG, 374.7 KB, uploaded by Bryan on Jan. 3, 2026.

    Penrose Sun Deflate.png

    PNG, 269.4 KB, uploaded by Bryan on Jan. 3, 2026.

    Daneland and xpatUSA like this.

    favorite 2

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    wklee
    Members 221 posts
    Jan. 4, 2026, 3:54 a.m. Jan. 4, 2026, 3:54 a.m.
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    Mathematically I found it interesting.

    www.seh.ox.ac.uk/study/outreach/events-and-competitions/teddy-rocks-maths/2020-entries/harriet-wood

    How does saving Draft work in DPRevived?

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    AlanSh
    Forum Admin 4200 posts
    Jan. 4, 2026, 8:07 a.m. Jan. 4, 2026, 8:07 a.m.
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    @wklee has written:

    How does saving Draft work in DPRevived?

    No idea. I didn't know you could. Do you mean 'Preview'?

    Alan

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    wklee
    Members 221 posts
    Jan. 4, 2026, 11:16 a.m. Jan. 4, 2026, 11:16 a.m.
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    I misunderstood. I thought I could from Mobile go to my Mac saved as “Draft” and the unsent text from my phone would appear but it’s not possible to do it.

    What’s on Mobile (or Desktop) stays on their devices. Only after sending is it seen by everyone.

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    wklee
    Members 221 posts
    Jan. 4, 2026, 2:30 p.m. Jan. 4, 2026, 2:30 p.m.
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    Veritasium has a video on the Penrose Tiles.

    The Infinite Pattern That Never Repeats

    youtu.be/48sCx-wBs34

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