Tetrasection Quest

This printable picture puzzle consists of 4 similar challenges. The goal in each challenge is to divide the provided shape into 4 congruent parts. These parts can be rotated and/or mirrored. The grid on each shape is provided for your convenience.

Created for Smartkit by Peter Grabarchuk- click on shapes below for higher resolution version you can print out.

For the parents & teachers following, your students and kids should try the blue first, as it is the easiest. The orange is a bit harder. The green is harder still, and for those really looking for a brain buster, try the red.

Good luck. Submitted answers will be shown on Thursday, with a riddle to be posted sometime tomorrow. Also, if you are a regular visitor to Smartkit, and have any suggestions or things you’d like to see to improve the site, please let me know info (at) smart-kit.com. Thanks

To view our archive of printable puzzles, click here

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10 Comments to “Tetrasection Quest”


  1. daniel.leonard | Profile

    I’ll do my best to describe solutions in text. a \ indicates that a block is cut in half.


    Blue:


    1
    1/
    2/3
    2/3
    /44


    Each piece looks like this:


    1
    1/
    / it includes the adjacent halves of squares.


    Green:


    11122
    11122
    312224
    333444
    333444


    The piece shape is more obvious in this diagram.


    Orange (looks more yellow to me):


    \11/
    3\/2
    3/\2
    /44


    The shape of each piece is as follows:


    \11
    \/


    i.e., two adjacent blocks with a half-block attached at the left and two half-blocks attached on the bottom.


    Red:


    1
    1
    214444
    211134
    222234
    3333


    Again, I think the shape is more obvious from the diagram (since there aren’t any triangles/half-squares involved). I didn’t think Red was particularly difficult, but I guess it depends how you approach it and what you try first.


  2. daniel.leonard | Profile

    The spaces I put at the beginning of indented lines didn’t show up in my comment as posted, so you’ll have to imagine that some of the lines are shifted to the right as per the puzzle. My solution turned out to be another puzzle…


  3. Tetrasection | Time Waster | Guest

    [...] Smartkit Puzzles and Brain Teasers propone una sfida che ha a che fare con la geometria: si tratta di dividere le forme mostrate nell’immagine in 4 parti congruenti. In pratica dovrete cercare di capire in che modo ritagliare le forme geometriche ma la sfida non è agevole e vi può tenere impegnati a lungo. Per facilitare il compito di chi deciderà di provarci, è possibile stampare qui il foglio con le figure geometriche e poi tentare. [...]


  4. suineg | PUZZLE MASTER | Profile

    hello RK, fine with the blue, stuck in the orange, dont know why but I find really hard this type of puzzles, but cool, just practice, its really challeging.


  5. RK | Founder | Profile

    Hi there Suineg- will upload the answers Friday am (US time). Agree, these puzzles are tough. You have the right mindset, though- wanting to expose yourself to a variety of challenges is the best way to keep your brain fit and sharp :)


  6. RK | Founder | Profile

    I think Daniel.Leonard got these right…here’s the official graphic solution by Peter Grabarchuk:


    http://www.smart-kit.com/wp-co.....lution.jpg


  7. suineg | PUZZLE MASTER | Profile

    jajaja RK, I think I understood the puzzle badly I thought you only can use the lines already there, thats why I could not do the orange, because you have to “cut” the figure in order to divide that jajaja I was begginig to think I was so dumb jajajaj cool there is an alternative answer for the blue:
    -1-
    -21
    231
    234
    443
    the – is for indication of blank space, the numbers are each figure, this solution has no need of making aditional lines just cutting by the grid provided, jajaja sometimes I am so silly, thats why the orange seems impossible jajaja but cool, I will try them with that information, did not memorized them I swear jajaja


  8. michaelc | Profile

    Well the blue was the only one I could get, and I got a different answer. Strangely enough, they seem pretty easy once the you see the solution.


    My solution for the blue was like a knight moves in chess. 2 squares up, and one diagonally. Each piece looking like this below….


    ??
    ?


  9. michaelc | Profile

    Try that again.


    Like this…?


    **
    *


  10. michaelc | Profile

    Nevermind. Hopefully you can picture from the description.


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