Professor Layton and the Diabolical Box
Puzzle 013: On Your Plate
A plate shows one equilateral triangle inside another, so how many times bigger is the large one?
- Chapter
- Chapter 1
- Location
- Car 5 (Kitchen) · Macaroon
- Picarats
- 15 picarats
- Type
- Write Answer
- Region
- Same in all versions
Hint 1: A gentle nudge. Tap to flip.
Don't try measuring. Move the small triangle in your head instead.
Tap to flip backHint 2: The key idea. Unlocks after the previous card is flipped.
Turn the small triangle upside down.
Tap to flip backHint 3: Almost there. Unlocks after the previous card is flipped.
Upside down, its corners touch the middle of each side of the big triangle.
Tap to flip backAnswer: See the answer. Unlocks after the previous card is flipped.
The answer is 4 times.
Tap to flip backSolution, FAQ and sources
Solution
Flip the small triangle so it points the other way. Its corners now sit at the midpoints of the large triangle's sides, splitting the large triangle into four identical triangles: the small one in the middle and three around it.
So the large triangle is **4 times** the size of the small one. (Two independent sources agree. Joining the midpoints of any triangle always gives four equal triangles.)
About this puzzle
The pattern on a plate is a small equilateral triangle set inside a larger one. How many times bigger in area is the large triangle?
Unofficial fan guide, not affiliated with LEVEL-5 or Nintendo. Puzzle description, hints and solution written by Hint by Hint.
Similar puzzles: Puzzle 014: Red Caps, Puzzle 012: Clouds and Sky, Puzzle 010: A Work of Art, Puzzle 020: The Shoe Store Thief
All Professor Layton and the Diabolical Box puzzles
FAQ
What is the answer to Puzzle 013, On Your Plate, in Professor Layton and the Diabolical Box?
The answer is 4 times.
Where do you find Puzzle 013 in Diabolical Box?
Puzzle 013 appears in Chapter 1, in the Car 5 (Kitchen) area, when you talk to Macaroon.
How many picarats is Diabolical Box Puzzle 013 worth?
15 picarats.
Sources
- Professor Layton Wiki (Fandom): Puzzle:On Your Plate
- StrategyWiki: Professor Layton and the Diabolical Box/Puzzles 1-25
- Professor Layton Wiki (Fandom): Module:PuzzleData/DB
Facts checked on November 14, 2026
Unofficial fan guide. Not affiliated with, endorsed by, or sponsored by LEVEL-5 Inc. Professor Layton, The New World of Steam, and all related names, characters, and trademarks are the property of their respective owners.