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TimeSpaceLightForce

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Posts posted by TimeSpaceLightForce

  1. Bill has five  pennies .  He shall make as many  triangles as he can to gain more money. For every unique triangle that he creates on a flat table (3 corners at centers of coins) he wins a nickle but for some triangles that dont overlap or intersect with other triangles, he wins a dime. He shall declare the triangles he formed on the table. So Bill can name the identical coins A,B,C,D and E. Note U$  penny  is 1-cent, nickle is 5-cents and dime is 10-cents.

    How shall Bill put all his coins on the table for greatest earnings?

  2. 3 hours ago, rocdocmac said:
      Hide contents

    Looks like there are even more perfect squares on the original layout!

    My latest count is 11 squares with 27 pieces being involved and 11 of them found in more than one square.

     

    Spoiler

    square chess 2.png

     

     

  3. Spoiler

    I myself did not own the 34 pieces solution. Someones code did it; like placing 3 marks randomly.. then one by one marking every square and  Tested if  it  is 4th corner or not..My original manual solution is just 31 pieces thats why I posted before using a chess set 32 pieces

     

    Spoiler

    There are  more  than 300 possible squares  on a chessboard.. i guess 

     

  4.  

    On the 2 x 1 grid all 7- segment digits above can be formed one at a time as seen on clocks , calculators and other digital devices. If we are allowed to flip or rotate and overlap segments, how should these digits be configured inside the 3 x 4 grid ,so we can see all of them at the same time?

    7 segment digits.png

    Spoiler

    note: too much overlapping may cause some digits to disappear

     

  5. 2 hours ago, bonanova said:

    Clarification:

      Hide contents

    Do you agree the pieces at { e1 c3 g3 e5 } form a square?

     

    Spoiler

    Yes of course..  consider the upright and tilted squares.

    Spoiler

     

     

  6. Remove 4 pieces from the above position.. then place them back on any free squares of the chessboard  so that no square can be formed by any four pieces on corners of a square .  Which pieces to choose and where to position them?

     

    square chess.png

    Spoiler

    This is base on my posted question : " Anti Square" .About most number of pieces on chess board without forming a square. Yet 34 may not be the maximum.

     

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