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#1 2016-04-07 07:09:49

salem_ohio
Member
Registered: 2016-03-11
Posts: 37

Defective board

We have an 8x8 square board with one block being painted green, while all the others are red. We cut this board into pieces in such a way, so as to be able to reassemble the board from these pieces and reposition the green square to any of the 64 positions of the new board. How many pieces do we need at minimum and of what shape?

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#2 2016-04-14 19:55:32

anna_gg
Member
Registered: 2012-01-10
Posts: 232

Re: Defective board

It must be a combination of pieces with number of blocks divisible by 3.

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#3 2016-04-23 19:10:24

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Defective board

It must be cut into 3 pieces.First one L shaped with each side 8 blocks and width 4 blocks. Second one also L shaped 4x4x2 size. The green block will be in the third piece which is a square of 2x2.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#4 2016-04-29 03:00:47

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Defective board

salem_ohio
Are you satisfied with the solution?


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#5 2016-04-29 07:25:23

salem_ohio
Member
Registered: 2016-03-11
Posts: 37

Re: Defective board

@thikhead:

Sorry, your reply skipped my attention!

YES, perfect solution! Thanks!!
I was struggling to make it with triominoes only!!

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