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  1. Images of David Smith Pattern

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  2. Science News
    https://www.sciencenews.org › article …

    Mathematicians have finally discovered an elusive …

    Mar 24, 2023 · Identified by David Smith, a nonprofessional mathematician who describes himself as an “imaginative tinkerer of shapes,” and reported in a paper posted online March 20 at arXiv.org, the hat is...

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    David Smith
    The Hat
  3. Smithsonian Magazine
    https://www.smithsonianmag.com › smart-news › at-long...

    At Long Last, Mathematicians Have Found a Shape With a Pattern …

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    David Smith
    At Long Last
    Will Sullivan
    Smithsonian Institution
  4. Scientific American
    https://www.scientificamerican.com › …

    Newfound Mathematical 'Einstein' Shape Creates a …

    Apr 10, 2023 · Then, last November, retired printing systems engineer David Smith of Yorkshire, England, had a breakthrough. He discovered a 13-sided, craggy shape that he believed could be an einstein tile.

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    David Smith
    Shape
  5. Live Science
    https://www.livescience.com

    Newly discovered 'einstein' tile is a 13-sided shape that …

    Mar 31, 2023 · Could a single tile — one "stone" — fill a two-dimensional space without ever repeating the pattern it creates? The answer was just discovered by David Smith, a retired printing...

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    David Smith
    Shape
  6. Quanta Magazine
    https://www.quantamagazine.org

    Hobbyist Finds Math’s Elusive ‘Einstein’ Tile | Quanta Magazine

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    The Hat
    Mathematics
  7. Wikipedia
    https://en.wikipedia.org › wiki › David_Smith_(amateur...

    David Smith (amateur mathematician) - Wikipedia

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    David Smith
    Amateur
  8. People also ask
    Did David Smith discover an aperiodic tile?
    David Smith, a hobbyist mathematician based in Bridlington, UK, discovered a shape that he suspected could be an aperiodic tile and, together with three professional mathematicians, Smith wrote up a proof that his tile — together with its mirror, or flipped, image — could be used to build infinite aperiodic tilings of the plane 1.

    This infinite tiling pattern could end a 60-year mathematical quest

    nature.com
    How did David Smith make a hat shaped tile?
    In mid-November of last year, David Smith, a retired print technician and an aficionado of jigsaw puzzles, fractals and road maps, was doing one of his favorite things: playing with shapes. Using a software package called the PolyForm Puzzle Solver, he had constructed a humble-looking hat-shaped tile.

    Hobbyist Finds Math’s Elusive ‘Einstein’ Tile | Quanta Magazine

    quantamagazine.org
    How did Smith prove the hat is an aperiodic monotile?
    Smith worked closely with two computer scientists and another mathematician to develop two proofs showing that "the hat" is an aperiodic monotile — an einstein. One proof relied on building larger and larger hierarchical sets of the tiles, showing how the pattern never repeats as the surface area grows.

    Newly discovered 'einstein' tile is a 13-sided shape that solves a

    livescience.com
    Does Smith's singular tile pave the plane without gaps?
    Together with software developer Joseph Samuel Myers and mathematician Chaim Goodman-Strauss of the University of Arkansas, Kaplan proved that Smith’s singular tile does indeed pave the plane without gaps and without repetition. Even better, they found that Smith had discovered not only one but an infinite number of einstein tiles.

    Newfound Mathematical 'Einstein' Shape Creates a Never-Repeating

    scientificamerican.com
    Did Smith really find a 'Einstein' shape?
    “Almost immediately it looked like he was onto something new and profound,” Kaplan says. Though it took a while longer to prove mathematically, their instinct was sound: As they and two other colleagues announced in March, in a paper that has yet to be peer-reviewed, Smith had stumbled upon the long-sought “einstein” shape.

    At Long Last, Hobbyist Discovers "Einstein" Tile

    discovermagazine.com
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  9. National Museum of Mathematics
    https://momath.org › the-hat

    The Hat and the Spectre – National Museum of …

    Join all four authors of the groundbreaking paper, David Smith, Joseph Samuel Myers, Craig Kaplan, and Chaim Goodman-Strauss, as they discuss their exciting mathematical discovery of the Hat, the first-ever shape that can tile the plane …

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    David Smith
    The Hat
    Museum of Mathematics
  10. Nature
    https://www.nature.com › articles

    This infinite tiling pattern could end a 60-year …

    Jun 1, 2023 · David Smith, a hobbyist mathematician based in Bridlington, UK, discovered a shape that he suspected could be an aperiodic tile and, together with three professional mathematicians, Smith wrote...

    Tags:
    David Smith
    Davide Castelvecchi
    Finite set
  11. Phys.org
    https://phys.org › news

    A geometric shape that does not repeat itself when …

    Mar 23, 2023 · David Smith, Joseph Samuel Myers, Craig Kaplan and Chaim Goodman-Strauss have written a paper describing how they discovered the unique shape and possible uses for it.

    Tags:
    David Smith
    Geometric shape
  12. Discover Magazine
    https://www.discovermagazine.com › th…

    At Long Last, Hobbyist Discovers "Einstein" Tile

    Apr 27, 2023 · In his free time, David Smith designs tiles. More specifically, the retired print technician and recreational mathematician pieces together as many tiles as he can (no gaps allowed) before the pattern either repeats or cannot …

    Tags:
    David Smith
    At Long Last
    Albert Einstein