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Thank you to everybody who sent in their solutions to this activity. There are a lot of different possible magic rectangles so you might be able to find one that we haven't shown here!
We received a lot of solutions from the children at Ganit Kreeda in Vicharvatika, India - thank you all for your hard work on this. Adithya sent in this explanation and picture:
First, I managed to get 24 in all columns. The rule which I used is - I noticed that only if we get the sum of the dots on the dominoes as 2 even and 2 odd or all odd or all even, we can get the sum as 24 without falling short of dominoes.
Well spotted, Adithya! There is one mistake in this magic rectangle, and it can be fixed if two dominoes are swapped. Can you see which two dominoes they are?
We also received the following magic rectangles, from Kanaa, Ruhi and Aarav respectively:
Thank you all for sending these in. It's really interesting to see the different ways you recorded your arrangements.
Milan from Sunmarke School in India sent in this picture and explanation:
We put alternately big and small dominoes for 6 columns and three rows. We then tried to put the remaining dominoes and where needed tried to swap them within the same row or the same column.
Good ideas, Milan! I wonder why alternating 'big' and 'small' dominoes is a good strategy?
Shaunak from Ganit Manthan in Vicharvatika, India sent in this solution:
You might also like to take a look at the domino game that Shaunak created. The rules are also explained in the video below.
Thank you for sharing this game with us, Shaunak - it looks like a very interesting way of creating a domino magic square!