It’s the Friday Puzzle!

First, my thanks to everyone who completed the survey yesterday.  Much appreciated.  OK, here is the puzzle….

Here is a schematic plan of an orchard, with the green circles representing trees.  The orchard belongs to four brothers and they want to split it between them.  Can you divide the orchard into four parts, such that each part is the same size and same shape, and has the same number of trees?

As ever, please do NOT post your answers, but feel free to say if you have solved it and how long it took.  Answer on Monday!

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112 Responses to “It’s the Friday Puzzle!”

  1. Eoghan Says:

    That only took a few seconds, but I think I’ve seen this puzzle or one very like it before, so that may have helped.

  2. Nadia Says:

    Um, five seconds?

  3. Andrew S Says:

    I solved this really quickly but that’s because i play teris alot…

  4. Jim C Says:

    About a minute, but I don’t play Tetris.

  5. Joao Pedro Afonso Says:

    Yes, I can… about half to one minute (Is too earlier in the morning to solve this in a range of seconds :-P )

  6. fluffy Says:

    GOt it, in about 30 seconds. I hope my solution fits to a T.

  7. EnglishAtheist Says:

    Does any one else find with these puzzles that you have them in a minute or less, or they take loads longer? No middle ground.

    • Marion Says:

      Yes I find that.
      I think for me I get an idea in my head and if that solution doesn’t work it’s then really difficult to see any other way to solve the problem, because I keep going back to the way that doesn’t work.

    • Todio Says:

      I think it depends on your puzzle solving style. Maybe one person thinks better, spatially while another thinks better with words and a third thinks better with numbers. Me, although I got this puzzle pretty quickly I can’t solve a rubik’s cube to save my soul! I’m better with abstract concepts.

      Maybe Richard can do or sponsor some sort of survey / study? Give solvers 50-100 puzzles of all sorts and note each solution time to see if there is a difference.

      I’d guess it’s a left brain vs right brain thing.

  8. Scott Says:

    Yep, didn’t take more than a minute. Some puzzles just happen, others don’t.

    And tetris helps.

  9. Paul Durrant Says:

    40 seconds. Spent counting trees and eliminating possible shapes for the areas. And then realising that my first tiling didn’t work, and seeing which tiling would work.

  10. erica Says:

    about 30 seconds to eliminate my first ideas.
    then realised a good starting point to get 3 trees and 4 squares in a pattern.
    then another 30 seconds to mentally trace it round to see if it worked. It did.
    and yes, I suspect tretrisonians have a head start.

  11. Tony Says:

    Way to ruin the puzzle for everyone, Tod.

    P’raps we could read the instructions next time?

  12. cfssufferer Says:

    About 2 minutes to work out 2 different methods

  13. Bletherskite Says:

    Got it!

    As soon as I shifted my brain from my initial mode of thinking about the position of the trees then I got it in about 10 secs. Spent about 5 mins under my first mode of thought though :-D

  14. Marion Says:

    Yes, I got this one. I find these ones a lot easier than some of the others- either that or the others are really hard, yes that must be it!

  15. shoesieQ Says:

    Took about a minute, though may have cheated as am not sure my solution is allowed!

  16. Bernhard Says:

    It took me less than a minute … The comment with Tetris is very nice…

  17. Bert Says:

    Solved it in about 10 seconds

  18. Neal Says:

    Got it in about 30 seconds then discovered there are at least two solutions after about two minutes.

    • Bernhard Says:

      yes, just discovered the second “tetrisonial” solution… but maybe there are more, especcially as it is not a criterion that each part ist composed of squares that actually adjoin… hehehe

  19. ChivNick Says:

    20 mins, but only 2 minutes hard thinking

  20. KSH Says:

    A few seconds. Very often I just give up on these puzzles, so this one is decidedly easy.

  21. Wolf Martinus Says:

    After _no time at all_ my correct answer to the question posed was “No, I can’t”. With that, I claim a WIN!

    Now, after having thought about it for half a minute the answer has changed to “Yes, now I can.”

  22. Martha Says:

    Thanx all who mentioned Tetris :) About 5 seconds after reading the comments

  23. Lt Cdr (ret) Nazri Says:

    Easy, around 6 seconds.

  24. Al Says:

    Too easy – 10 seconds maybe.
    After another minute or so I found a second solution.

  25. Berber Anna Says:

    Yes, easy. Ten seconds or so (as long as it took me to count trees for the first solution that came to mind, which happened to work).

  26. Stephen J Henstridge Says:

    A few seconds, then counted the trees to be sure.

  27. lilabyrd Says:

    Well I could just kick myself up one side and down another….been sitting here looking at this for the last 20 min and thinking this must be wrong….surely Richard will come back and move things around because there just isn’t any way to do what is asked. Then reread the question and slapped myself upside my head and saw the answer right a way! Now I am going to prepare myself a spot of tea in my new Royal Albert Old Country Roses tea set my younger son bought me! Yep tea is the answer for me now!

  28. Andreea Says:

    Did it in less then a minute!

  29. mittfh Says:

    Let’s see – twelve trees, four brothers, sixteen squares…

    I figured it out in my head, then had a play around with borders and background colours in Excel to be sure :)

  30. Timdifano Says:

    A couple of minutes

  31. slightly_skeptical Says:

    Two different solutions, couple of minutes.

  32. Eddy Says:

    About 10 seconds — easier than it looks at first glance.

  33. Matt Says:

    Two answers, 2 mins.

  34. Liebe Says:

    20 seconds!

  35. Thomas Says:

    Wow, I finally solved one :)

  36. widdowquinn Says:

    Yes – about 15s.

  37. Fred Says:

    30 Seconds

  38. endermom Says:

    Yes, 20 seconds or so.

  39. Beatriz Says:

    I solved it! But it didn’t take too long…

  40. Kernal Says:

    Managed it in about half a minute? maybe a minute at most.

    I did however have to put a piece of paper up to the screen to draw out my divisions.

  41. Tom Says:

    I got one solution after about 30 seconds, but my shapes are not rotationally symmetric, two of the pieces are the mirror image of the other two images.

    I found a solution where the pieces are rotationally symmetric as well after thinking about it for another minute.

    • killyosaur Says:

      Damn you! My first solution took 3 minutes, then you had to mention rotational symmetry. Final solution took an additional 30seconds. But with the Tetris hints, and your point of rotational symmetry, it was pretty simple to figure out.

  42. killyosaur Says:

    3 minutes into Gateways off the new Dimmu Borgir album (started about the same time the song started) I figured it out. Most of that time was drawing out the grid so I could mess around with it better.

  43. T9sus4 Says:

    Easy. Took me longer to get the felt pen off my screen than solving the puzzle.

    • Todio Says:

      To remove permanent pen or marker use an erasable marker (the whiteboard kind) Simply scribble across the pen mark and immediately wipe off. Works a charm on non porous surfaces like white boards and computer monitors. The solvent in the erasable marker (why they smell) dissolves the ink and you can wipe it away easily.

      I work in TV, its an old trick.

  44. Lisa Says:

    Think tetris.

  45. freelancecynic Says:

    About 30 seconds. Good one though.

  46. Niall Says:

    About three minutes, just needed to look at it for a while before It popped out at me

  47. phylliskirigin Says:

    “Among” not “”between”

  48. BigBadEd Says:

    About a minute eliminating the permutations.

  49. MarKill Says:

    this was really simple

  50. Emily Says:

    A few seconds. Thanks Heather for sharing the puzzle.

  51. D Says:

    What?! I did it instantly!
    Or rather, I should say, on my first half-hearted attempt.

  52. bigjohn756 Says:

    All you have to do is dig up the tree in the top left corner and…oh, I forgot I wasn’t supposed to tell how I did it.

  53. Tango Says:

    2 answers – 20 seconds

  54. namowal Says:

    A few seconds. I felt smug about this until I read the comments and discovered I wasn’t alone.

  55. Norman Says:

    Pretty much straight after I read the problem.

  56. sc Says:

    Very easy one I think. Few seconds for an intial solution, few seconds more for a different solution using same shape, and a few after that for another solution using a different shape.

  57. Andrew S Says:

    More or less instantaneously once I was done reading.

  58. SS Says:

    It took me about a minute. It is done. I made a few attempts and then realised that the requirements gave me a bit more freedom than i assumed at first.

  59. TheQuixoticMan Says:

    Maybe a few minutes… I didn’t quite get it until I started trying to make the lower left-hand shape. Then it all came together.

  60. mervulon Says:

    Easy. <5 seconds.

  61. Michelle Says:

    I wasted about a minute trying to find the exact same shape with the exact same distribution of trees which (as far as I could see) couldn’t be done. Once I realized that it just had to have the same shape and same number of trees but not necessarily in the same spots within that shape, it only took a few seconds.

    Reading comprehension is my friend.

  62. Rusty Says:

    About 4 minutes to get to a screen large enough to fit the whole orchard in. About 5 seconds once I could see whole orchard in one go. A little longer to find a second solution.

  63. Rex Says:

    3 minutes cause I thought the arrangement of tree in each had to be the same.

  64. Charles Sullivan Says:

    Two solutions. Took some minutes.

  65. Flavio Says:

    Super easy, few seconds. http://tinypic.com/r/ma9roh/7

  66. Mike Says:

    Particularly easy since you don’t specify that the parts have to be contiguous.

  67. The other Matt Says:

    About seven minutes. I saw a kind of this Puzzle in a book, but with five Fields each part.
    By the way, referring of the survey of yesterday about luck: now i can say that i spend seven minutes to reach the state of happiness for a while, because i just solved this difficult problem…
    I never will have a problem like this but it makes me proud to be able to solve such absurd things !

  68. The other Matt Says:

    Did you also see the text soo weird after watching on the green cyrcles ? I think its an optical illusion. All Letters were small, i thought a need glasses, and also all it looked so “edgy”, also human faces !?!

  69. Match Says:

    3 answers and I think there are no more. Took a couple of minutes.

  70. Briggsy Says:

    About 30 sec. This was a good one. Thanks!

  71. Jerry Says:

    This took me a while to solve. I took time out to leave the house to go out to dinner. When I came back I tried again and found a solution. I could have kicked myself for not seeing it sooner.

  72. MikeSW17 Says:

    It took me a whole Knight plus a couple of minutes!

  73. Iain Sinnott Says:

    yes, I got it in about 59 seconds, which made me happier than perhaps it should :) the question is if I looked at it for 2 seconds then went away and did something that fully occupied my mind for 5 minutes and then can back to it, would I have already solved it in your subconscious.

    Now where did I get that theory?

  74. JB Says:

    15 seconds after I read the Tetris comment.

  75. Engywuck Says:

    Took me about 3 minutes, because at first i tried to find shapes with dots at the very same places. After recognizing my mistake it was a matter of seconds.

  76. Kristian Says:

    Found 2 shapes that work in 3 arrangements total so far.
    Didn’t think of the resemblence to tetris before someone mentioned it.

    I’m now trying to find a solution using shapes not made up of squares, splitting the trees into fractions.

  77. RFranklin Says:

    Got it! Took me about a minute.

  78. Samara Says:

    Solved in 10 sec after I after I read the comments and found the hint “tetris”. Credit goes to the first guy to give that hint.

  79. cabeza Says:

    I got it right away. I am soooooo smart aren’t I folks. You don’t know me but my name is caaaaaaaaabeezaaaaaaaaaaa. And I love cooking. A great cooking website is pionner women cooks. I may have misspelled that but who cares I mean look at me I’m amazing .see ya next week cookers .Oops wrong website I mean people who think their smarter than me ,which we all know you aren’t……. right okay
    Cabeza is leaving …… ciao

  80. cabeza Says:

    just kidding! I’m sure most of you did better than me at this problem.

  81. Kristian Says:

    I keep seeing swastikas, should I be worried?

  82. Paul Says:

    About 15 seconds – 10 seconds to work out a condition which must be true, and then another 5 or so to find 2 possible answers

  83. Katy Says:

    Got in about 10 seconds.

  84. vishal garg Says:

    got it in about 20 seconds…..

  85. Vivek Says:

    <5 sec. and tetris helps. :)

  86. Hal Harris Says:

    Took about 2 minutes.

  87. Tasmania Says:

    Took me 20 sec :)

    Easy one…

  88. Chris Says:

    Solved. About 1.5 minutes.

  89. Paul Murray Says:

    20 seconds.

  90. Jet Says:

    Yes, I did in 15 seconds.

  91. Surendera M Bhanot Says:

    Dear Rechard, I have not got your mail on Monday!!

    Have you posted the answer?

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