witzar

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About witzar

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witzar's Activity

  1. witzar added an answer to a question LCD Watch   

  2. witzar added an answer to a question LCD Watch   




     
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  3. witzar added an answer to a question Covering perforated hexagon with triminoes   

    Well done, gavinksong.



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  4. witzar added an answer to a question six dice = four numbers   

  5. witzar added an answer to a question Diameters   

  6. witzar added an answer to a question Set Theory 101   

  7. witzar added a question in New Logic/Math Puzzles   

    Covering perforated hexagon with triminoes
    This puzzle is inspired by posted by bonanova.

    Again we work on a hexagonal tiling of a plane, and the question is about
    possibility of covering some shape with triminoes.
    Trimino is a "triangle" formed by three unit hexagons sharing common vertex.

    The shape to cover is defined as follows:
    Let's pick a unit hexagon and call it H1.
    Now we recursively define Hn+1 as a sum of Hn and all unit hexagons adjacent to Hn.
    So basically Hn is a "hexagon" with side of length n (unit hexagons).

    Let Dn be Hn with one unit hexagon at it's center removed.
    So, can you cover D2015 with triminoes?
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