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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It’s Follow-Up Friday: Kickstarter Roundup 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’d like to return to the subject of crowdfunding!

[Image courtesy of The Startup Garage.]

I’ve covered various campaigns for board games, card games, and puzzle projects across the Kickstarter and Indiegogo crowdfunding platforms over the years, and today I’d like to share a few more that could use your attention.

The first is the strategy game Sovrano.

Sovrano is a tactical game in the spirit of chess where you compete with your opponent to score points by capturing one or both of the towers in the center row of the board and/or by escorting your emperor to the throne at the center of the board. With only 11 game pieces apiece, this multi-tiered game is simple to learn but contains enough depth and nuance to keep players interested.

Although supporting Sovrano is a bit more expensive than the average game’s Kickstarter levels, it’s worth noting that each game is hand-made by the father-and-son team behind the game, and the craftsmanship looks gorgeous.

A bit more complex and cutthroat than Sovrano, Summit is a strategy game that’ll test your speed, cunning, and karma. It’s kind of like The Oregon Trail, but with other wagons racing you.

Summit combines path building (by laying triangular tiles on the mountain map), mechanics to help or hinder opponents (inspiring alliances and encouraging betrayals in equal measure), resource management, and an element of luck to create an intriguing racing game where players compete to climb AND descend a mountain before their opponents do.

On the simpler side of things, we have Hoard, a test-your-luck card game all about hedging your bet to sneak as much treasure as possible away from a sleeping dragon before it awakes.

With elements of Memory (remembering which treasure cards are hidden where), chain-solving (doing your best to combine where to move on the board with the cards in your hand and the treasures you’ve already nabbed) and risk management (do you try to wake the dragon now to secure your treasure, or do you hedge your bet and try to grab more before someone else wakes it?), Hoard is a quick-playing family-friendly experience that could be a great gateway game for more involved games later.

Our final game today, Knuckle Sammich, is far, far goofier than the other three, but it’s a project near and dear to my heart, because it’s a spinoff of one of my favorite quick-and-silly role-playing games, Kobolds Ate My Baby.

Now, for the uninitiated, a bit of backstory: kobolds are among the first creatures you usually encounter in a Dungeons & Dragons campaign, because they’re easy for even the greenest of heroes to defeat. They’re basically cannon fodder. So it’s great fun to have a game centered around playing one of these easily crushed minions, stealing food for your king and being generally mischievous.

And now they’re launching a card game all about eating sandwiches before they run out…or before you become lunch yourself! It’s guaranteed to be glorious chaos.

These are four intriguing and very entertaining projects, all loaded with potential, and I hope you consider contributing to one or more of them. As someone who has become a regular donor to various Kickstarter and Indiegogo campaigns, I am proud to have funded some marvelous new ideas and watched them take shape over the months that followed.


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Stopping at the McDonald’s on Memory Lane

I mentioned last month that I’ve been doing a bit of late-Spring cleaning, and the process continues. This weekend, I was poring through some McDonald’s toys my mother had saved over the years (and when you’re one of six kids, those toys add up quickly).

(One section of the counter absolutely covered with toys.)

And as I was organizing and sorting an egg box full of these silly little gems, I couldn’t help but find the puzzliest among them to share with my fellow puzzlers and PuzzleNationers.

It seems appropriate to start with toys that resemble the brand’s signature food items.

When it comes to puzzle toys, you really can’t go wrong with something that transforms. Figuring out the proper steps to reveal the hidden character or form inside can be simple or complex, depending on the toy. Obviously McDonald’s kept it simple with these Happy Meal handouts, but it didn’t make them any less weird or delightful.

These faux foods are from two different series of McDonald’s toys — the fries and hot cakes & sausage from 1986/1987, the burger and hotcakes from 1990 — and each transforms to reveal something unexpected.

As you can see, the late ’80s toys become robots (keeping in line with the whole Transformers mentality) while the 1990 toys become curious food/dinosaur hybrids.

1992 brought us these stackable circus characters, testing the balance and dexterity of younger minds to see what diabolical human towers they can cook up. In my house, this quickly became a Jenga-like game of each person selecting a piece and taking turns to stack them, often with disastrous results.

(My tower…just before it collapsed.)

But by far the puzzliest of the toys I uncovered was also one I’d completely forgotten about.

Back in 1991, McDonald’s partnered up with NASA to spark interest in space exploration with a run of Happy Meal toys all about astronauts, space technology, and more.

One of the best and most challenging sets was this small space module, complete with two astronauts, logos, and flames.

If memory serves, there were also a lunar rover and a satellite, all built with these wonderful double-sided cardboard pieces.

It was a blast to rediscover these puzzle-fueled delights amidst a plethora of TV and movie tie-in toys, animated characters, and other nuggets of fast-food childhood fun.

Did this post remind you of any puzzly toys you found in cereal boxes, fast food orders, or the like? Let me know in the comments section below!


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It’s Follow-Up Friday: Indie 500 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’d like to return to the subject of the Indie 500 crossword tournament!

Why, you ask? Because it’s tomorrow, June 4, and you still have time to register! Click here for all the details. You can compete in person in Washington, D.C., for just $30, or you can participate from home for only $10!

Not only that, but once again they’ve whipped up a meta-suite of puzzles to boot, and you name your own price for it!

This is the second year of the tournament, and I expect great things from the immensely talented team of constructors and directors they’ve assembled. With a prom theme, topnotch constructors, and pie (there’s always pie), you can’t go wrong!

Click here for the Indie 500 home page, here for an interview regarding this year’s event with constructor Andy Kravis, and here for a rundown of last year’s terrific puzzles!

Will you be competing? Or participating from home? Let us know in the comments below!


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PuzzleNation Product Review: Slideways

One of the most popular forms of puzzle gaming involves placing four game pieces in a row on a board. Four-in-a-row games like Connect Four are rooted in the tactical simplicity of Tic-Tac-Toe or three-in-a-row solving, but take it a step further.

We’ve explored several four-in-a-row puzzle games before. ThinkFun’s All Queens Chess added a wrinkle by employing the rules of chess in four-in-a-row solving. Quarto used pieces of varying heights, colors, and shapes to create a more complex game play experience.

And now, Tricia McLaughlin and R&R Games bring us another evolutionary step in four-in-a-row puzzle gaming: Slideways.

At first glance, Slideways offers a simple 4×4 play area, where the blue squares can be rotated to reveal a gold or red square claimed by the player in a given turn. Each play claims one square per turn.

In this picture, two squares each have been claimed by the players. But Slideways allows the player to manipulate the play area itself by sliding a row one square in either direction, adding another dimension to the game.

So now players can claim blue squares or shift the rows to give themselves the best opportunity to not only get four in a row, but to thwart an opponent’s efforts to do the same. (Be careful, though, as the sliding feature can be a little clunky.)

But that’s not all. Slideways has one more trick up its sleeve.

Players also have the option of changing claimed squares to their own color! In this case, one player rotated a gold-claimed square into a red-claimed square.

And honestly, this is the feature that really separates Slideways from other four-in-a-row games, because it requires the player to constantly assess and reassess the game every single turn. You can’t take it for granted that a claimed square will stay claimed, or that the three squares you already have lined up will stay lined up.

There is one exception to this rule: you cannot reverse a square a player has just claimed. You have to wait a round before doing so.

So the red square claimed in the top row this turn cannot be immediately turned into a gold one. The other player has to wait until the next round, so instead, the other player changes one of the red squares in the third row into a gold one.

All of these possible moves — claiming a square, shifting a row, or taking an opponent’s square — make Slideways the most complex and controllable four-in-a-row puzzle game I’ve ever seen, and it can make for a fun and nerve-wracking playing experience, especially against a skilled opponent.

Plus games move so quickly (usually lasting less than 10 minutes) that you’re sure to play multiple rounds without giving up a huge chunk of your day. My opponent and I played 11 or 12 games in about half an hour, and each one felt new and different because of the many play options available to us.

(Plus there’s a three-player variation that starts with some squares flipped to red, others flipped to gold, and the third player uses blue as their color.)

Simple to learn, but tough to master, Slideways is a marvelous addition to the four-in-a-row puzzle game field, one that ensures you’ll take no move and no turn for granted. Portable and self-contained, this one is a treat.

[I discovered Slideways at the Connecticut Festival of Indie Games. You can pick it up on the R&R Games website for $11.99.]


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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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