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The Terrace Door (The Coded Door in the UK version) is a puzzle in Professor Layton and the Last Specter. The puzzle must be solved in order to progress the story.

Puzzle

US Version

To open the lock on this door, you must enter the correct numbers.

To the right of the doorknob is a set of equations. Each symbol represents a unique single-digit number. If you solve the equations, you'll determine which symbol represents which number...and you'll have your key!

Touch the numbers to change them.

UK Version

The lock on this door is not of the normal variety. It looks as if it will open when you put in the correct pair of numbers.

To the right of the door handle is a legend with a set of equations that should help you work out what the symbols mean. Each symbol represents a different number between 1 and 9.

Touch the numbers to change them.

Hints




Click a Tab to reveal the Hint.

US Version

So STAR must represent a number that is small enough to produce a single digit when multiplied by itself. Once you figure out the value of STAR, you're well on your way to solving the remaining equations.

UK Version

STAR must represent a number that is small enough to produce a single digit when multiplied by itself.

Once you work out the value of STAR, you're well on your way to solving the remaining equations.

US Version

STAR times STAR produces a single-digit answer so the value of STAR could only equal 1, 2, or 3. But since STAR times STAR does not equal STAR, we can safely eliminate 1. The value of STAR must be either 2 or 3.

UK Version

STAR times STAR produces a single-digit answer, so the value of STAR must be 3 or lower.

Additionally, STAR times STAR does not equal STAR, but rather CLUB, so you can eliminate 1.

STAR must be either 2 or 3.

US Version

If STAR were 2, that would make 4 the value of CLUB. In that case, STAR multiplied by CLUB would equal 8. But that can't be correct, since STAR times CLUB is a two-digit number. Therefore, the values of STAR and CLUB must be 3 and 9, respectively.

UK Version

If STAR were 2, then CLUB would be 4. But in that case, STAR times CLUB would be 8, which can't be the case because STAR times CLUB is a two-digit number. Therefore, STAR must be 3 and CLUB, 9.

US Version

STAR is 3 and CLUB is 9. Therefore, DIAMOND is 2 and SPADE is 7. Multiplying 7 by CRESCENT gives you a two-digit answer containing two numbers you haven't yet used. If you go through the possible multiples of seven, you should be able to work it out.

UK Version

STAR is 3 and CLUB is 9. Therefore, DIAMOND is 2 and SPADE is 7.

Multiplying 7 by CRESCENT gives you a two-digit answer containing two numbers you haven't yet used. If you go through the possible multiples of 7, you should be able to work it out.


Solution

Incorrect

US Version

Too bad!

Rework your calculations one more time.

UK Version

Too bad.

Try calculating it one more time.

Correct

Correct! CRESCENT is 8 and TRIANGLE is 6.

US Version

STAR times STAR is a single-digit answer, so STAR must be 1, 2, or 3. However, since 1 times 1 would be 1 again, we can eliminate that. If STAR were 2, CLUB would be 4, but the next equation, 2 times 4 would not produce a two-digit answer. Therefore, STAR is 3, CLUB is 9, DIAMOND is 2, and SPADE is 7.

After that, just try unused numbers to fill in the other symbols and find the correct values.

UK Version

STAR times STAR is a single-digit answer, so STAR must be 1, 2 or 3. However, as STAR times STAR does not equal STAR, we can eliminate 1. If STAR were 2, CLUB would be 4, but then the next equation, 2 times 4, would not produce a valid two-digit answer. Therefore, STAR is 3, CLUB is 9, DIAMOND is 2 and SPADE is 7.

After that, you just try unused numbers to fill in the other symbols and find the correct values.

LS047S

A big thanks to http://professorlayton4walkthrough.blogspot.com

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