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geerky42

  • one year ago

I am stumped on this puzzle: How many 3x1 pieces can fit on 8x8 board without overlapping? Since \(\frac{64}{3} = 21.\overline3\), the answer may be \(21\), but no matter how I place and arrange 3x1 pieces, I cannot fit 21th piece. So is it really \(20\)? If so, what do I need to know to be able to show that?

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  1. geerky42
    • one year ago
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    Any ideas, guys? @Loser66 @amistre64 @abb0t @jim_thompson5910 @ganeshie8

  2. triciaal
    • one year ago
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    I think 20 - 3 x 1 pieces. the left over is 1 - 2 x 2 piece

  3. triciaal
    • one year ago
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    |dw:1432959333256:dw|

  4. triciaal
    • one year ago
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    new thought can the 3 by 1 be triangles ?

  5. geerky42
    • one year ago
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    Never mind, I finally figured out... Sorry for inconvenience, guys.

  6. geerky42
    • one year ago
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    |dw:1432956116326:dw|

  7. geerky42
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @triciaal new thought can the 3 by 1 be triangles ? \(\color{blue}{\text{End of Quote}}\) What do you mean?

  8. geerky42
    • one year ago
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    3x1 has to be straight, no "L shape"

  9. triciaal
    • one year ago
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    thanks. thanks for sharing the solution too

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