Professor Layton and the Diabolical Box/Puzzles 51-75

Caution! This page contains all the hints and solutions for every puzzle from 51 to 75. Scroll carefully or you might spoil the answer of a puzzle for yourself. The solutions are hidden behind spoiler tags, so only take a peek if you're desperate.

Puzzle 051

 * Name: Flipped Cats (US) / Crazy Cats (UK)
 * Trigger: Check cat figure
 * Location: General Store
 * Chapter: 2
 * Picarats: 20

Description: One of the three color pictures--A, B, or C--is the same picture as the black-and-white one displayed on the far left. Can you find which one? The only difference is that the picture on the far left has had its content flipped left to right and its colors inverted and changed to black-and-white.


 * Hint 1: Comparing A, B, or C with the picture on the far left is a lot of work, and it can be hard to find differences. So why not forget about the black-and-white picture for a moment and just focus on finding the differences between pictures A, B and C?
 * Hint 2: Don't forget to look at those lines in the background.
 * Hint 3: The eyebrows on each cat are worth a look too!

Puzzle 052

 * Name: Hat Weather
 * Trigger: Talk to Lopez
 * Location: Tree-Lined Path
 * Chapter: 2
 * Picarats: 30

Description: There is a fellow with very particular rules about when he wears his best hat. Below is a chart of when this man wore his hat over the course of one week. Use the panels to fill in the weather for each day, keeping in mind that it doesn't rain on cloudy days. (Note that the days of the week were bumped one day forward in the European version, so the first day of the puzzle in Pandora's Box is a Monday instead of a Sunday. The hints are taken from the US version.)
 * When it's sunny, he always wears his hat.
 * When it's rainy, he doesn't wear his hat.
 * When it's cloudy, he doesn't wear his hat unless it's been cloudy for two days in a row, in which case he wears his hat on the second of these days.


 * Hint 1: Start by placing a rainy-day tile on each day where our friend didn't wear a hat.
 * Hint 2: Once you put down the rainy-day tiles as described by Hint One, you may notice that there are no more spaces left for your cloudy tile. You could put it down on one of the days with a hat if that day was the second day in a row of cloudy weather, but no two days of the week shown appear to have been cloudy...
 * Hint 3: If the week before the one shown here had a cloudy Saturday, this fellow could wear his hat on Sunday, couldn't he?

Puzzle 053

 * Name: Boys Club
 * Trigger: Talk to Albert
 * Location: Town Hall Plaza
 * Chapter: 2
 * Picarats: 30

Description: Below is a wheel of male and female portraits. Select a portrait and, counting that portrait as one, move six portraits clockwise or counterclockwise. Then cross out the last of these portraits. Repeat this pattern, starting from the next available portrait and moving in the same direction. If you start at just the right portrait, you can remove all the women on the wheel, leaving only six portraits of men behind. Circle this portrait. Remember, you can move clockwise or counterclockwise.


 * Hint 1: The first portrait you choose should be of a man.
 * Hint 2: Move counterclockwise to find your answer.
 * Hint 3: The first portrait you should remove is the girl positioned at five o'clock.

Puzzle 054

 * Name: Painting the Flag
 * Trigger: Talk to Kostya
 * Location: Wheat Field
 * Chapter: 2
 * Picarats: 25

Description: You have a pristine white flag that you want to color into three sections as shown below. You have three paints. No two adjacent sections of the flag can be the same color, each section can only be one color, and you can't change the number or size of these sections. If you aren't allowed to mix paint, how many distinct flag designs are possible?


 * Hint 1: You have three paints you can use on the flag, but that doesn't mean those are the only colors at your disposal.
 * Hint 2: Maybe you've noticed that the white color of the flag's fabric is another color you can use in making your designs.
 * Hint 3: Adding white to the three paints you have gives you four colors you can use to make flag designs. If the leftmost third of your flag is white, you will have a total of nine distinct designs.

Puzzle 055

 * Name: Sammy's Necklace
 * Trigger: Talk to Sammy
 * Location: Station Plaza
 * Chapter: 2
 * Picarats: 30

Description: Sammy has eight chains with seven links each. He wants to connect all those chains to make a totally awesome necklace that's a single loop. The jeweler says he can open and close a single link for $2. As shown below, Sammy could open an end of each of the eight chains to make one long necklace that's a single loop. However, that would cost $16, and the truth is there's a cheaper way to get the same results. Using the cheapest method possible, how much will it cost to make Sammy's necklace?


 * Hint 1: The number of links in each small chain is a crucial clue that will help you solve the puzzle.
 * Hint 2: You haven't been opening only the links on the ends of each small chain, have you?
 * Hint 3: Try taking one small chain, popping open each of its seven links, and using those individual open links to connect the other small chains together. Is the answer clearer now?

Puzzle 056

 * Name: The Door's Code
 * Trigger: Try to enter Car 2
 * Location: Car 3
 * Chapter: 3
 * Picarats: 40

Description: In order to pass through this door, Luke and Layton must arrange the symbols according to the following rules: -The star must be next to the moon. -The X must be second from the top. -The circle must be somewhere above the diamond. -The moon must be located two places below the diamond. Give it a shot!


 * Hint 1: "The X must be second from the top." As you know exactly where the X should go, start by placing this symbol. Once it's filled in, move on to the other conditions.
 * Hint 2: "The moon must be located two places below the diamond." If the moon is two places below the diamond, then the diamond must be in one of the top three spots. X already occupies the second slot, so the diamond is in either the first or third space from the top, right?
 * Hint 3: "The circle must be somewhere above the diamond." If you combine the above statement with the information from Hint Two, it's clear that the only place you can put the diamond is the third spot from the top. Once you've placed the diamond, you should now have enough symbols in place to solve the rest of the puzzle easily.

Puzzle 057

 * Name: Smell the Roses
 * Trigger: Enter the cabin in Car 2
 * Location: Car 2
 * Chapter: 3
 * Picarats: 30

Description: Ah, there's nothing like fresh-cut roses to boost your spirits. Can you help Sammy freshen up the whole car with their fragrance? Tap a square with your stylus to place a rose. The fragrance of each rose reaches two spaces in all directions but can't penetrate walls. If the fragrance of two or more roses overlaps, the resulting smell will be overpowering, so make sure to keep your roses spaced out. To remove an existing rose, just tap on it again.


 * Hint 1: Here's a handy hint. Start your work from the corners of the car.
 * Hint 2: Place a rose in the lower-right corner of the car, then think about where everything else needs to go.
 * Hint 3: To solve this puzzle, you need to put roses in fives different spots.

Puzzle 058

 * Name: In the Tunnel
 * Trigger: Leave the cabin after solving Puzzle 057
 * Location: Deluxe Room
 * Chapter: 3
 * Picarats: 35

Description: Two trains pass in the darkness of the tunnel. Move them around so that each locomotive ends up on the opposing track while still maintaining the same order of its cars. There's one trick, though: the number 2 cars for both trains must remain in their original tracks.


 * Hint 1: To start, try to get all the cars going to the top track into their designated positions before worrying about the ones headed to the bottom track.
 * Hint 2: Tuck away the red car in the side track that sits between the top and bottom tracks. Then bring down all of the cars on the top track. Move that red car up into its designated spot on the top track.
 * Hint 3: You can use the trick highlighted in Hint Two to move any car from the bottom track to the top track. Then it's just a matter of bringing that car out of the side track and up into its designated position.

Puzzle 059

 * Name: A Ticket to Where?
 * Trigger: Automatically triggered
 * Location: Deluxe Room
 * Chapter: 3
 * Picarats: 40

Description: In front of you sits the ticket that Layton and Luke found with Dr. Schrader. At firstglance, the ticket appears to have no destination written on it. But when you look at it just the right way, the ticket discloses its destination: the town of Folsense. The key to spotting the destination is the number that has been cut out of the ticket. What number used to be there? Use the ticket in the instruction booklet to puzzle this one out!


 * Hint 1: To find the answer, you have to fold the ticket in a particular way.
 * Hint 2: First, fold the entire ticket in half lengthwise. Next, fold the ticket lengthwise along the middle of each row of numbers. Fold it just so, and the top half of the top row of numbers will connect to the bottom half of the bottom row of numbers, revealing a string of letters.
 * Hint 3: The words "FOR FOLSENSE" are written on this ticket. What number must belong in the cut-out portion in order to form an E when the ticket is folded?

Puzzle 060

 * Name: Plaza Puzzle
 * Trigger: Talk to Rory
 * Location: Station Plaza
 * Chapter: 4
 * Picarats: 25

Description: "So there's this big, old statue in the middle of this plaza. When you take away the area occupied by the statue, the plaza looks kinds doughnutlike in shape. What you gotta do is divide this donut plaza into two identically shaped parts using only one line. "Oh, and before you get any big ideas, the dotted lines shown below won't cut it 'cause they're actually two lines." Draw your answer on the Touch Screen.


 * Hint 1: In the example illustration, the plaza has been divided by two lines, which makes the answer invalid. The fact that you need to use a single line to answer the problem is key. Since you can only use one line, you know you won't be solving this one by drawing lines through the middle of the plaza, right?
 * Hint 2: Even if you avoid drawing your line through the center of the plaza, no single straight line will divide the plaza into two pieces that are the same shape. By the way, did you notice the goal here isn't to make two pieces thatare the same size but merely the same shape? Keep that in mind.
 * Hint 3: If you're still having trouble, you should know that the single line you need to draw is a circle. The only remaining question is where to place it so that the two pieces of the plaza have the same shape and are directly proportional to one another.

Puzzle 061

 * Name: Where's the Hotel
 * Trigger: Inspect any of the four buildings
 * Location: Outside the Hotel
 * Chapter: 4
 * Picarats: 30

Description: In front of the town train station are four buildings standing in a row. One of these four is supposedly the local hotel, though it lacks a sign. Even so, if you study the area carefully, you should be able to tell which of the buildings is the hotel. Can you figure out which of these four buildings is the hotel.


 * Hint 1: Just study the four buildings carefully, and the answer will present itself.
 * Hint 2: Say, upon second glance, one of these buildings has the word "hotel" written on it. Do you see it?
 * Hint 3: A close inspection of the scene reveals that one building has letters of the alphabet hidden in its doorways and windowpanes.

Puzzle 062

 * Name: Smell the Roses Again
 * Trigger: Check the vase
 * Location: Hotel Room
 * Chapter: 4
 * Picarats: 40

Description: Nothing smells quite as sweet as fresh-cut roses. Can you help freshen up the whole room with their fragrance? Tap a square with your stylus to place a rose. The fragrance of each rose reaches two spaces in all directions but can't penetrate walls. If the fragrance of two or more roses overlaps, the resulting smell will be overpowering, so make sure to keep your roses spaced out. To remove an existing rose, just tap it again.


 * Hint 1: Start by placing a rose in the lower-left corner of the room, then just take it from there.
 * Hint 2: If you know where one rose goes, placing the rest shouldn't be prove to be too much of a challenge. Place your other roses so that their scent doesn't overlap with the rose in the bottom-left corner of the screen.
 * Hint 3: In total, you need to place seven roses to finish this puzzle.

Puzzle 063

 * Name: Numbered Cards
 * Trigger: Talk to Dawson
 * Location: Antique Shop
 * Chapter: 4
 * Picarats: 25

Description: Cards labeled 1 through 6 are arranged in order as shown below. Rearrange them so that they satisfy the following conditions.
 * 1) The sum of the numbers on the top row must be one less than the sum of the numbers on the bottom row.
 * 2) The two cards in the right column must add up to five.
 * 3) The 5 card must be to the immediate left of the 4 card.
 * 4) The 1 card must be placed in the left column.


 * Hint 1: The sum of all cards is 21. Knowing this, you can deduce that the top row of three cards in your solution should add up to 10, while the bottom row must add up to 11.
 * Hint 2: The 1 card belongs in the top row.
 * Hint 3: Put the 4 card in the middle column of cards.

Puzzle 064

 * Name: Stones in a Vase
 * Trigger: Talk to Dawson
 * Location: Antique Shop
 * Chapter: 5
 * Picarats: 20

Description: "This vase holds 101 stones, each identical in size and feel. There are 50 black stones and 51 white stones. Now, put on this blindfold, reach in, and pull out as many stones as you like. When you're finished, if you've removed an equal number of black and white stones, you'll receive a number of gold pieces equal to the number of stones you pulled out." How many stones should you remove to give yourself the best chance of removing equal numbers of stones while getting the most money possible?


 * Hint 1: Since the stones are of the same size and feel, there is absolutely no way to tell them apart while removing them.
 * Hint 2: The best shot you'll have of pocketing those coins is just around 50 percent. There's no way of ensuring you'll win the coins.
 * Hint 3: Let's think about this for a moment. Whether you pull out two stones or 100 stones, your chances of winning the gold are the same: just about 50 percent.

Puzzle 065

 * Name: The Ancient Map
 * Trigger: Serve the Cayenne Twilight to Dawson
 * Location: Antique Shop
 * Chapter: 5
 * Picarats: 25

Description: An ancient map depicts the possible spots of a vast fortune, as well as directions: "Incribe the numbers 1 through 6 in the map's blank spaces so that each set of numbers in a straight line has the same sum. You can use each number only once, and the sum must be the largest one possible. Then go to the spot marked 1, for that is where you'll find your treasure." The number 4 has been filled in for you. Circle the area where the treasure is hidden.


 * Hint 1: The number 4 is already in place, so your task is to decide where the numbers 1, 2, 3, 5 and 6 go. Remember, your goal is to make every set of numbers in a straight line add up to the same total. Pay special attention to the two lines that use the number 4, as they are crucial to solving the puzzle.
 * Hint 2: Focus your attention on the spot at far right of the page and see how it forms a line with the number 4. Were you to insert a smaller number, like 1 or 2, your total for the whole line couldn't be any larger than 6. With a total like that, there'd be no place for you to put the number 6, making the puzzle unsolvable. So what should go in the far-right blank?
 * Hint 3: When arranged properly, each line of numbers can add up to either 9 or 10. The puzzle asked you to use the largest sum possible, so you know you should be shooting to make each line add up to 10.