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  • Divide a shape into four equal parts

    From richard@richard@cogsci.ed.ac.uk (Richard Tobin) to rec.puzzles on Tue Jul 1 19:01:29 2025
    From Newsgroup: rec.puzzles

    A well-known puzzle is to divide an L-shape - a square with one square
    quarter removed - into four identical pieces.

    But what about a square where the quarter removed is an isosceles
    right-angled triangle with one of the sides as its hypotenuse?

    This problem was set in Peter Parley's Annual, 1877, but I fear that
    they are no longer available to provide the answer:

    https://i.ebayimg.com/images/g/BZUAAOSwPqVlS8OY/s-l1600.jpg
    or https://web.archive.org/web/20250701185837/https://i.ebayimg.com/images/g/BZUAAOSwPqVlS8OY/s-l1600.jpg

    -- Richard

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  • From ilan_no_spew@ilan_no_spew@hotmail.com (IlanMayer) to rec.puzzles on Wed Jul 2 02:36:29 2025
    From Newsgroup: rec.puzzles

    On Tue, 1 Jul 2025 19:01:29 +0000, Richard Tobin wrote:

    A well-known puzzle is to divide an L-shape - a square with one square quarter removed - into four identical pieces.

    But what about a square where the quarter removed is an isosceles right-angled triangle with one of the sides as its hypotenuse?

    This problem was set in Peter Parley's Annual, 1877, but I fear that
    they are no longer available to provide the answer:

    https://i.ebayimg.com/images/g/BZUAAOSwPqVlS8OY/s-l1600.jpg
    or https://web.archive.org/web/20250701185837/https://i.ebayimg.com/images/g/BZUAAOSwPqVlS8OY/s-l1600.jpg

    -- Richard

    SPOILER
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    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
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    SPOILER
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    SPOILER

    --------------------------.
    | / |
    | / |
    | / |
    +------+ / +------+
    | | / | |
    | | / | |
    | |/___________| |
    | /\ |
    | / \ |
    | / \ |
    | / \ |
    | / \ |
    | / \ |
    |/ \|

    Please reply to ilanlmayer at gmail dot com

    __/\__
    \ /
    __/\\ //\__ Ilan Mayer
    \ /
    /__ __\ Toronto, Canada
    /__ __\
    ||

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  • From Carl G.@carlgnews@microprizes.com to rec.puzzles on Fri Jul 4 08:47:04 2025
    From Newsgroup: rec.puzzles

    On 7/1/2025 7:36 PM, IlanMayer wrote:
    On Tue, 1 Jul 2025 19:01:29 +0000, Richard Tobin wrote:

    A well-known puzzle is to divide an L-shape - a square with one square
    quarter removed - into four identical pieces.

    But what about a square where the quarter removed is an isosceles
    right-angled triangle with one of the sides as its hypotenuse?

    This problem was set in Peter Parley's Annual, 1877, but I fear that
    they are no longer available to provide the answer:

    https://i.ebayimg.com/images/g/BZUAAOSwPqVlS8OY/s-l1600.jpg
    or
    https://web.archive.org/web/20250701185837/https://i.ebayimg.com/images/g/BZUAAOSwPqVlS8OY/s-l1600.jpg

    -- Richard

    SPOILER <snipped>

    Ilan,

    I had considered writing a computer program to solve this puzzle and
    similar puzzles. Did you write a program to solve this puzzle? If so,
    what algorithm did it use?
    --
    Carl G.


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