[DB013] On Your Plate

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On Your Plate is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

The plate in front of you bears a mark made up of two nesting equilateral triangles.

Can you puzzle out how many times bigger the large triangle is when compared to the smaller one?

UK Version

The plate in front of you bears a mark made up of two equilateral triangles, one inside the other.

Can you work out how many times bigger the large triangle is than the small one?

Hints

Click a Tab to reveal the Hint.

You don't need to do any kind of special calculation here. In fact, all you need is a little intuition.

How would things look if you rotated the smaller triangle?

US Version

By now you've tried visualizing what things would look like if you rotated the triangle around, yes?

If you've done that, you should be able to see how many smaller triangles fit in the larger one. Just count them up.

UK Version

Did you try visualising what things would look like if you rotated the smaller triangle?

If you've done that, it should be easy to see how many smaller triangles fit in the larger one.

Solution

Incorrect

Too bad!

US Version

Focus your attention on the smaller of the two triangles.

UK Version

Focus your attention on the small triangle.

Correct

That's right!

US Version

If you think to flip the little triangle around as shown, it should only take a moment to realize that four of the smaller triangles will fit in the larger one.

UK Version

If you imagine that the small triangle is inverted as shown, it should only take a moment to realise that four small triangles would fit into the larger one.

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