Dice in a Square

We have 6 blue dice with 4's on top in a triangle joined with
10 red dice with 6's on top also in a triangle, making a square!

 or as 


Adding up gives a total of 84 - check that! How did you count! ?

There's a rule for how these are set up- the blue dice have to have the same numbers on the top and the red dice have to use a different number to the blue, but the same on each.

The kind of questions we might ask are;

What other totals can you make?
How many different arrangements can be made?
What if the two triangles (that together make up the square) were a different size giving a total of 9, 25, 36 . . . . . dice?

We'd love you to share how you've tried this and what you've discovered. You can add a comment below, or you can email us - your work may be featured in the showcase.

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