Domino Frames

General Instructions

Arrange dominoes in a square frame so that the sum of the numbers along each side is the same.

Puzzle #1

Polypad

Domino Frame 1 - Polypad - Mathigon

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Instructions

Using each domino only once, create 3 by 3 square frames with all possible sums. Here is the example of 12 of a domino frame with a sum of 12.

Some questions to think about:

• What is the the least possible sum?

• What is the greatest possible sum?

• How many solutions are available for each sum?

Solution

Domino Puzzle 1 Possible Frame - Polypad - Mathigon

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Puzzle #2

Polypad

Domino Frame 2 - Polypad - Mathigon

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Instructions

Use all 28 dominoes to make all possible 3 by 3 domino frames.

Solution

Using a single set of 28 dominoes, you can make exactly 7 domino squares.

Solution of the Domino Puzzle - Polypad - Mathigon

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Puzzle #3

Polypad

Domino Frame 3 - Polypad - Mathigon

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Instructions

Use all 28 dominoes in a single set to create a 15 x 15 square so that the sum of the numbers along each side is the same. Additionally, as in the traditional domino game, only the same number of points can be placed next to each other.

Solution

Solution of the Domino Frame 3 - Polypad - Mathigon

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