Professor Layton and the Diabolical Box
Puzzle 113: A Stack of Dice
Three dice are stacked so touching faces add to five, so what's on top of the top die?
- Chapter
- Chapter 5
- Location
- Northeast Path · Hopper
- Picarats
- 30 picarats
- Type
- Write Answer
- Region
- Same in all versions
Hint 1: A gentle nudge. Tap to flip.
The touching pairs can only be 1 and 4, or 2 and 3.
Tap to flip backHint 2: The key idea. Unlocks after the previous card is flipped.
On each die, the top face is 7 minus the bottom face.
Tap to flip backHint 3: Almost there. Unlocks after the previous card is flipped.
Work up from the bottom die. Its top can't be 1 or 6, because 1 is showing on a side.
Tap to flip backAnswer: See the answer. Unlocks after the previous card is flipped.
The answer is 6.
Tap to flip backSolution, FAQ and sources
Solution
Opposite faces add to 7, and touching faces add to 5, so each touching pair is 1 + 4 or 2 + 3.
1. The bottom die shows 1 on a side, so its top isn't 1 or 6. For its top to pair to 5, it has to be 2, 3 or 4. 2. Middle die: bottom = 5 − (bottom die's top); its top = 7 − that = 2 + (bottom die's top). 3. The middle die's top must also pair to 5 with the top die, so it can be at most 4. That forces the bottom die's top to be 2, the middle die's faces to be 3 (bottom) and 4 (top), and the top die's bottom face to be 1. 4. The top die's upper face is 7 − 1 = **6**.
About this puzzle
Three identical dice are stacked in a column. Wherever two dice touch, the touching faces add up to 5. A side face of the bottom die shows a 1. Opposite faces on each die add up to 7. What number is on top of the top die?
Unofficial fan guide, not affiliated with LEVEL-5 or Nintendo. Puzzle description, hints and solution written by Hint by Hint.
Similar puzzles: Puzzle 112: Turn On the Light, Puzzle 109: Walking the Dog, Puzzle 152: The Card Tournament, Puzzle 111: How Many Turns?
All Professor Layton and the Diabolical Box puzzles
FAQ
What is the answer to Puzzle 113, A Stack of Dice, in Professor Layton and the Diabolical Box?
The answer is 6.
Where do you find Puzzle 113 in Diabolical Box?
Puzzle 113 appears in Chapter 5, in the Northeast Path area, when you talk to Hopper.
How many picarats is Diabolical Box Puzzle 113 worth?
30 picarats.
Sources
- Professor Layton Wiki (Fandom): Puzzle:A Stack of Dice
- StrategyWiki: Professor Layton and the Diabolical Box/Puzzles 101-125
- 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.