CV016 - Triangles and Ink

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Triangles and Ink
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Triangles and Ink
Puzzle Number 016
Puzzle Name Triangles and Ink
Picarats Given 40 Picarats
Type Write Answer
Location Town Hall
Previous Puzzle CV015 - How Many Are Left?
Next Puzzle CV017 - Five-Card Shuffle

This is the sixteenth puzzle that appears in Professor Layton and the Curious Village. To access this puzzle, you must talk to Rodney. In order to solve this puzzle, you must determine how many times the pen must be dipped in ink to create the large triangle shape.


[edit] Hints

Hint One
    To draw the smaller, four-triangle shape, you actually only need to draw three triangles. To see for yourself, trace the shape on the Touch Screen.

    Notice how the middle triangle (Triangle 3) in this shape is actually made up of the sides of the other triangles?

Hint Two
    The puzzle describes the shape on the left as made of four triangles. However, you could also say that this same shape is made of three upward-pointing triangles.

    Try applying this way of thinking to the larger shape. Just how many triangles does it take to make this shape?

Hint Three
    If you only count the number of upward-pointing triangles in the large triangle, you'll get a total of 21.

    You can draw three upward-pointing triangles with one dip into the ink, so...

[edit] Messages

[edit] When Failed

Too bad!

Take another look at the two shapes and the puzzle, paying special attention to the phrases "enough ink to draw four little triangles" and "the shape on the right that's made up of 36 triangles."

[edit] When Completed

That's correct!

Your first impulse might have been to divide the 36 triangles by four, but a closer look shows that each four-triangle cluster is actually formed from three triangles.

When you apply this way of thinking to the larger shape, you end up with the answer pictured above.

[edit] Solution


It will take seven pen dips.

[edit] Progress

430 Picarats and 37 Hint Coins.

Related Threads

triangles and ink - last post by @ Nov 25, 2008
Last edited by Squiggle on 22 December 2015 at 02:52
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