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# Ranks and Files : Dominoes

## Question

Can you arrange the 6 x 6 domino set in order that all columns and rows contains 0 - 6 ?

Edited by TimeSpaceLightForce

## Recommended Posts

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Spoiler

Incidentally the domino pieces in the original layout fit in like this ...

All dominoes are actually mirror images of the true dominoes!

Edited by rocdocmac
Moved to spoiler
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Looks like a 7x8 set?

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A double six domino set. made up of 28 domino tiles.

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Thank you Time-LSF! Good one, but ...

Apology for raising this, but there is only one "double 0" and one "double 6" combination directly adjacent next to each other in the grid, although the total of 56 (7x8) matches twice the number of 28 domino pieces in a normal set! The  "double 1, 2, 3, 4 and 5" are fine.

Edited by rocdocmac
grammar
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4 hours ago, rocdocmac said:

Thank you Time-LSF! Good one, but ...

Apology for raising this, but there is only one "double 0" and one "double 6" combination directly adjacent next to each other in the grid, although the total of 56 (7x8) matches twice the number of 28 domino pieces in a normal set! The  "double 1, 2, 3, 4 and 5" are fine.

I'm not quite sure what you are saying. A domino consists of 2 squares. So while there are 56 squares, there's only 28 dominoes. So for example, A2 and A3 together are a single domino.

TSLF- Do you want them arranged in an 8x7 grid like the picture? That would mean some rows and columns would contain more than one of a number. Is that correct?

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@Thalia the columns can contain two of any of 0 1 2 3 4 5 6.. (8squares)

Edited by TimeSpaceLightForce
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8 hours ago, Thalia said:

I'm not quite sure what you are saying. A domino consists of 2 squares. So while there are 56 squares, there's only 28 dominoes. So for example, A2 and A3 together are a single domino.

What I'm trying to say is that, if the layout was made by using 2 complete domino sets, there should be two 0-0's and two 6-6's. In the figure there is only one 0-0 and one 6-6. So I guess that the given layout makes use of one 6-6 and one 0-0 only, but adding duplicate dominoes from a third set, e.g. a third 5-5.

Edited by rocdocmac
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the above gif was copied from googled image .. i guess it is also a puzzle: where you place all 28 pieces of the double six set..vertical and horizontal dominoes are allowed.

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I now understand! Forget my previous stupid questions!

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Possible solution ...

Spoiler

Edited by rocdocmac
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23 hours ago, rocdocmac said:

Possible solution ... ﻿

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Spoiler
Spoiler

Sorry, there is a slight mistake in my image on the left ... one of my dominoes {1+3 @ e5+e6} is upside down, but correct in the right diagram. Here is the correct image.

Edited by rocdocmac
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that is cool .. a layout other than all vertical dominoes .

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