The Mystery of the Kryptos Sculpture

[Image courtesy of Kryptos.arcticus.com.]

If I told you that one of the most famous unsolved encrypted messages in the world isn’t lurking in the works of Da Vinci or in some vast government warehouse like the Ark of the Covenant, but rather as part of a sculpture only twenty-five years old, you might be surprised.

You’d probably be less surprised to discover that said sculpture is located in front of the headquarters of the CIA, though.

Kryptos, a flowing sculpture made of petrified wood and copper plating over a small pool of water, was revealed to the world in 1990. Masterminded by artist Jim Sanborn, it was apparently designed to both challenge and honor the Central Intelligence Agency. And for decades now, it has proven to be a top-flight brain teaser for codebreakers both professional and amateur.

From an article on Wired.com:

It all began in 1988 when the CIA Fine Arts Commission commissioned local artist James Sanborn to create a cryptographic sculpture for a courtyard on the CIA campus. Sanborn completed the two-part sculpture in 1990, which included stones laid out in International Morse code near the front entrance of the CIA campus, and a 12-foot-high, verdigrised copper, granite and petrified wood sculpture. The latter, which is the more famous part of Kryptos, was inscribed with four encrypted messages composed from some 1,800 letters carved out of the copper plate.

[Image courtesy of The Magazine.org.]

There are four distinct sections, utilizing different forms of encryption. And amazingly, the fourth section continues to elude codecrackers to this very day.

It took nearly a decade before anyone announced a solution to the first three encryptions. A computer scientist named Jim Gillogly announced in 1999 that he had cracked passages 1, 2, and 3 with computer assistance.

The CIA, not to be one-upped, then revealed that one of their own employees, an analyst named David Stein, had solved those same three passages the year before, using only pencil, paper, and lunchtime man-hours.

But a 2013 Freedom of Information Act request into records of the National Security Agency revealed that an NSA team actually cracked those same three passages back in 1993 as part of a friendly rivalry between the NSA and CIA, provoked by former NSA director and then-deputy CIA director William O. Studeman.

[Image courtesy of G.A. Matiasz.]

Passage 1 employs a Vigenère cipher, a letter-shifting cipher that has been used for centuries, also known as a periodic polyalphabetic substitution cipher, if you want to get fancy with it.

The message, penned by Sanborn himself, reads Between subtle shading and the absence of light lies the nuance of iqlusion. [Iqlusion is an intentional misspelling of “illusion.”]

Passage 2 also employs a Vigenère cipher, but utilizes a different keyword than Passage 1. The message, also composed by Sanborn, points toward something hidden nearby:

It was totally invisible. How’s that possible? They used the earth’s magnetic field. x The information was gathered and transmitted undergruund to an unknown location. x Does Langley know about this? They should: it’s buried out there somewhere. x Who knows the exact location? Only WW. This was his last message. x Thirty eight degrees fifty seven minutes six point five seconds north, seventy seven degrees eight minutes forty four seconds west. x Layer two. [Again, there’s an intentional misspelling here with “undergruund.”]

Passage 3 uses a transposition cipher, which relies on the positioning of given letters in order to properly spell out a message. The message is inspired by the words of Howard Carter, the archaeologist who opened King Tut’s tomb:

Slowly, desparatly slowly, the remains of passage debris that encumbered the lower part of the doorway was removed. With trembling hands I made a tiny breach in the upper left-hand corner. And then, widening the hole a little, I inserted the candle and peered in. The hot air escaping from the chamber caused the flame to flicker, but presently details of the room within emerged from the mist. x Can you see anything? q [Again, there’s an intentional misspelling with “desparatly.”]

[Image courtesy of Unmuseum.org.]

Although some codebreakers believe the misspellings of “iqlusion,” “undergruund,” and “desparatly” are simply Sanborn’s crafty attempts at misdirection, others believe they are clues hinting at how to crack Passage 4, which is only 97 characters long.

Sanborn has even offered hints to help frustrated solvers in their efforts to unravel the mystery of Passage 4. In 2006, he revealed that letters 64 through 69 in the passage, NYPVTT, decrypt to “Berlin.”

And in 2014, Sanborn revealed that letters 70 through 74, MZFPK, decrypt to “clock.” So the message has something to do with the Berlin Clock, although Sanborn has stated “there are several really interesting clocks in Berlin.”

[Image of the Berlin Clock courtesy of Secret City Travel.com.]

Amazingly, even if someone does crack Passage 4 someday, that’s not the end of the journey. All four passages are part of a riddle to unravel to truly solve the Kryptos puzzle, and apparently, doing so requires you to be on CIA property. That’s no small feat.

Jim Sanborn has truly created a beautiful, diabolical puzzle for the ages here. I wonder who will step up to finally solve this masterpiece.


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Unraveling the Riddle of Math Puzzles!

Math puzzles are among the most intimidating in the world of puzzles. Many people will happily dive into a crossword or tackle a word seek at a moment’s notice, but drop some numbers into a puzzle, and they hesitate.

But there’s no reason to fear!

Math puzzles are certainly a different form of puzzling, but like all puzzles, there’s always a way in, if you know how to look for it. Today, we’re going to solve two math puzzles together in the hopes of demystifying this style of puzzle.

Let’s take a look at our first math puzzle, “Count the Votes.”

A problem developed at a recent election where 5,219 votes were cast for four candidates. The victor exceeded his opponents by 22, 30, and 73 votes, yet not one of them knew how to figure out the exact number of votes received by each. Can you?

Okay, where do we begin?

Let’s start with what we know. We know the total number of votes, 5,219. That will be one side of our equation.

We also know that the winner beat his three opponents by 22 votes, 30 votes, and 73 votes, respectively. Which means that the number of votes the winner received is the key to solving this puzzle. Let’s call that number of votes “x.”

The winner beat one opponent by 22 votes (x – 22), another by 30 votes (x – 30), and the last by 73 votes (x – 73).

We can build our simple equation from that information:

x + (x – 22) + (x – 30) + (x – 73) = 5219

Still a little daunting, but we can simplify it, because it doesn’t matter in which order we add or subtract things. So let’s look at that formula without the parentheses:

x + x – 22 + x – 30 + x – 73 = 5219

Now let’s reorganize it, putting the addition parts together and the subtraction parts together:

x + x + x + x – 22 – 30 – 73 = 5219

Subtracting those three numbers separately is the same as subtracting their total, so let’s simplify again:

x + x + x + x – 125 = 5219

Adding four x’s together is the same as multiplying one x by 4, so let’s express that:

4x – 125 = 5219

Now we’re getting somewhere.

And subtracting 125 from 4x is the same as adding 125 to 5219, so let’s do that:

4x = 5344

Finally, we divide 5344 by 4 to give us the value of x:

x = 1336

Which means that our victor got 1336 votes, one opponent got 1314 (x – 22), another opponent got 1306 (x – 30), and the last got 1263 (x – 73), totalling 5129 votes.

Now, that wasn’t so bad, was it? Let’s try another that’s a little bit harder.

This one is called “The Mathematical Cop.”

“Top of the mornin’ to you, officer,” said Mr. McGuire. “Can you tell me what time it is?”

“I can do that same,” replied Officer Clancy, who was known on the force as the mathematical cop. “Just add one quarter of the time from midnight until now to half the time from now until midnight, and it will give you the correct time.”

Can you figure out the exact time when this puzzling conversation took place?

Okay, this one isn’t as obvious about providing us with information, but the info is there if you look.

Since everything relates to the time “now,” we’ll make “now” our x.

Then we take each part of Officer Clancy’s statement in turn. “Just add one quarter of the time from midnight until now.”

“The time from midnight until now” is the same as “now,” x, so one quarter of that time is x/4.

And we’re meant to add that to “half the time from now until midnight.”

That’s a little bit tougher. After all, “the time from midnight to now” was easy, but “the time from now until midnight” covers the rest of a 24-hour day. So, if x covers the time from midnight to now, then “1440 – x” covers the time from now until midnight.

(There are 1440 minutes in a day, 60 minutes times 24 hours, and it’s easier to do all this in minutes, rather than hours and minutes.)

So “half the time from now until midnight” is (1440 – x)/2.

Okay, so what does our equation look like?

x/4 + (1440 – x)/2 = x

That’s pretty daunting, but we know what our goal is: to combine all those x’s and get them on the same side of the equal sign. And like the equation we built for “Count the Votes,” we can simplify it with some careful applied math.

The first step is to get rid of those pesky fractions.

Let’s multiply everything by 2 in order to remove the “/2” below “(1440 – x),” which gives us:

2x/4 + (1440 – x) = 2x

We can use the same trick to remove the “/4” below 2x:

2x + 4(1440 – x) = 8x

Now we’re getting somewhere! Let’s get rid of that 2x on the left by subtracting 2x from both sides:

4(1440 – x) = 6x

Let’s go a step further by multiplying both 1440 and x by 4:

5760 – 4x = 6x

One more step, and we’ve got all of those x’s combined on one side of the equation, as we’d hoped:

5760 = 10x

Divide 5760 by 10 and we’ve got x:

576 = x

If you recall, x represented the time “now,” but it’s still in minutes. To get the actual time, divide 576 by 60 to get the number of hours. 540 minutes = 9 hours, so 576 is 9 hours, 36 minutes.

It’s 9:36 AM, Officer, though to be honest, if you tell everyone the time this way, I imagine people stop asking you the time after a while.

I realize these are only two examples, and math puzzles come in all shapes and sizes, but hopefully, they don’t seem quite so intimidating, now that you know how to pick them apart for the important information.

Good luck! And if you find any math puzzles you need help with, send them our way! They could end up the subject of a future blog post!


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It’s Follow-Up Friday: Word Mastery Answers edition!

Welcome to Follow-Up Friday!

By this time, you know the drill. Follow-Up Friday is a chance for us to revisit the subjects of previous posts and bring the PuzzleNation audience up to speed on all things puzzly.

And today, I’ve got the answers to last week’s edition of Word Mastery: Famous Expressions!

We posted twelve famous sayings or expressions that were reworded in a verbose and ridiculous fashion, and we challenged you to unravel them and figure out the original expressions. Let’s see how you did!


1.) A mobile section of petrified matter agglomerates no bryophytes.

A rolling stone gathers no moss.

2.) Desist from enumerating your fowl prior to their emergence from the shell.

Don’t count your chickens before they hatch.

3.) Scintillation is not always identification for an auric substance.

All that glitters is not gold.

4.) A plethora of culinary specialists has a deleterious effect upon the quality of purees, consummes, and other soluble pabula.

Too many cooks spoil the broth,

5.) A chronic disposition to inquiry deprived the domestic feline carnivorous quadruped of its vital quality.

Curiosity killed the cat.

6.) It is in the realm of possibility to entice an equine member of the animal kingdom to a source of oxidized hydrogen; however, it is not possible to force him to imbibe.

You can lead a horse to water, but you can’t make him drink.

7.) Persons deficient in the faculty of determining values move with impetuosity into places that purely spiritual beings view with trepidation.

Fools rush in where angels fear to tread.

8.) If John persists without respite in a constant prolonged exertion of physical or intellectual effort he will develop into a youth slow and blunted in perception and sensibility.

All work and no play makes Jack a dull boy.

9.) Immediately upon the absence of the domesticated carnivorous feline, the common house rodent proceeds to engage in sportive capers.

When the cat’s away, the mouse will play.

10.) A round vessel made of staves bound with hoops that is destitute of contents is productive of the most deafening din.

It is the empty barrel that rattles the loudest.

11.) Products of ingenuity are the offspring of exigency.

Necessity is the mother of invention.

12.) Residents of structures composed of silicate substances should refrain from casting hardened mineral objects.

Those who live in glass houses should not throw stones.


How did you do? Let us know in the comments section below!

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How Many Girls Do You See?

Optical illusions are a topic we’ve covered numerous times here on the blog, but I’ve noticed a growing trend in the optical-illusion memes that go viral: something to debate.

Think about it. We had The Dress, which the Internet lost its collective mind over. Then we had The Jacket, which upped the ante from two interpretations to four.

Now a friend of the blog has sent me an optical illusion that’s been making the rounds in her group of friends and sparking much debate.

Fellow puzzlers and PuzzleNationers, I give you…How Many Girls?

What’s going on here? Is this a casting call? A family reunion? Are there mirrors involved, or identical twins? Is this a doppelganger convention? Evidence of human cloning?

This image first appeared a few months ago on the Instagram account of Swiss photographer Tiziana Vergari, and although it hasn’t quite reached the fever pitch of The Dress, it’s by far the most viewed image on her account.

So, how many girls do you see?

Last chance before I give you the definitive answer!

Okay then.

According to Vergari, this photo features two sisters, both of whom are looking into mirrors (although one of those mirrors is out of frame).

Honestly, based on the eye placement and angle of the heads for the two I circled, I would’ve said four.

Just goes to show you, you never can tell.

Except for The Dress. That was obviously blue and black. I mean, come on.


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What are you trying to say here?

[Image courtesy of Aaron Walker, Alex Talamo, and the DIG Collective]

A while back, I posted a holiday-themed game where famous Christmas songs were reworded, and I challenged the PuzzleNation readership to unravel them all.

Well, this weekend I was going through a box of old assignments and such from my school days, and I stumbled upon another instance of this kind of rewording puzzle, this time centered around famous sayings and expressions.

Can you figure out the original expressions from these overly verbose rewordings?


1.) A mobile section of petrified matter agglomerates no bryophytes.

2.) Desist from enumerating your fowl prior to their emergence from the shell.

3.) Scintillation is not always identification for an auric substance.

4.) A plethora of culinary specialists has a deleterious effect upon the quality of purees, consummes, and other soluble pabula.

5.) A chronic disposition to inquiry deprived the domestic feline carnivorous quadruped of its vital quality.

6.) It is in the realm of possibility to entice an equine member of the animal kingdom to a source of oxidized hydrogen; however, it is not possible to force him to imbibe.

7.) Persons deficient in the faculty of determining values move with impetuosity into places that purely spiritual beings view with trepidation.

8.) If John persists without respite in a constant prolonged exertion of physical or intellectual effort he will develop into a youth slow and blunted in perception and sensibility.

9.) Immediately upon the absence of the domesticated carnivorous feline, the common house rodent proceeds to engage in sportive capers.

10.) A round vessel made of staves bound with hoops that is destitute of contents is productive of the most deafening din.

11.) Products of ingenuity are the offspring of exigency.

12.) Residents of structures composed of silicate substances should refrain from casting hardened mineral objects.

How did you do? Let us know in the comments section below!


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At least there’s no giant boulder chasing you…

[Is this the way out or a costly dead end?]

We’ve tackled all sorts of brain teasers in the past. From the Brooklyn Nine-Nine desert island seesaw to several hat puzzles, from Cheryl’s birthday logic puzzle to a diabolical light switch puzzle, we have conquered all challengers thus far!

But never before have we confronted a puzzle with as much backstory as today’s contender. Ladies and gentlemen and PuzzleNationers of all sorts, today we battle the Temple Tunnel puzzle.

Imagine that you’re a professor leading a group of eight grad students on an expedition into a booby-trap-filled temple.

[No, not THAT professor.]

After two of the students bump into an altar, they activate a trap, sending everyone scrambling for the exits before the temple collapses all around you.

The group finds itself in a room with five tunnels and an hourglass detailing how much time you have to escape. One of them leads back to the altar and the other four are possible routes of escape. Unfortunately, you can’t remember which one it is!

All you remember is that it took approximately twenty minutes to get here from the exit. How do you determine which tunnel is the correct one, and get everyone to safety?

Oh wait, there’s one more little complication. That altar the students bumped into? It released the vengeful spirits of the temple’s king and queen, which have possessed two of your students. So you can’t trust what they say.

So how do you figure out which tunnel is the right one without being deceived by your two compromised students?

[Image courtesy of XKCD.com.]

*deep breath* Wow, that’s quite a setup! So let’s summarize:

  • You have an hour to escape, and four corridors to explore.
  • Each corridor will require 40 minutes to explore: 20 minutes to determine if it’s the exit, and 20 minutes back to report your findings.
  • Whatever groupings you break the team up into, you have two possible liars among them, and no way to determine which ones are the liars before sending them down a tunnel.

For a wonderful animated version of this puzzle, as well as its solution, check out the YouTube video below from TED-Ed:

Now, while the solution itself is quite clever, I can’t help but ask certain questions:

It says that the possessed students can’t harm the others, but can they mislead them with actions as well as words?

I’ve seen several proposed solutions that included not only sending groups down the tunnels, but instructing one or more of them to leave the temple immediately if they find the exit (meaning that not seeing them return would confirm they’d found the exit). But if the liars can simply stay at the dead end, that would be a false confirmation of finding the exit.

The video is ambiguous about this, because it says the spirits will lead them to their doom, but then it also says that the curse only affects their communication.

How does the group know you’re not one of the liars?

The solution is entirely dependent upon you being able to explore a tunnel alone, because that determines the groupings for the other three tunnels. If you have to take someone with you (either an honest student or a liar), that affects your ability to draw proper conclusions from the other groupings. And even if you find the exit, the student with you could lie about it, and there’s no way to prove the truth to the group definitively.

Why not just ask each student individually a question the ancient king or queen wouldn’t know the answer to?

Presumably the spirits of ancient royalty wouldn’t know about the latest episode of NCIS or which version of Windows we’re up to.

In any case, this was a delightful mind-bender, one that has stumped many an intrepid solver. How did you do? Tell us in the comments below!


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