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An Extra Block is a puzzle in Professor Layton and the Unwound Future.

Puzzle

The green frame and six orange blocks below are all composed of identical equilateral triangles.

The frame can be perfectly filled using five of the six blocks. The blocks can be flipped and rotated in any direction to fit into the frame.

Circle the one block that isn't used!

Hints




Click a Tab to reveal the Hint.

Don't be confused by the complex shapes of the blocks. Try comparing the frame and the blocks from a different perspective.

Filling in the frame with the correct five shapes can be pretty tricky. But there's a way to identify the surplus block without worrying about the shapes at all!

The frame and blocks are all composed of identical equilateral triangles.

If you compare the number of triangles in the frame to the number of triangles used to create all six of the blocks, well then...

The frame is composed of 22 triangles.

Together, the six blocks are composed of 24 triangles.

So there are two many triangles in the blocks. Which means...


Solution

Incorrect

Too bad!

Have you tried counting all the triangles?

Correct

Excellent!

Was it tough to assemble in your head? There's actually a really easy way to solve this puzzle. Did you figure it out?

The frame is composed of 22 identical equilateral triangles. The six blocks together are composed of 24 triangles, which is two too many. This means the unused block must be the one made from only two triangles!

UF153S

A big thanks to http://professorlayton3walkthrough.blogspot.com

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