The art (and science) of optical illusions

Visual trickery plays an important role in puzzles. It can be the clever rebus that challenges you to find the words each image represents, or a visual brain teaser that forces you to think outside the box.

But nowhere in the realm of puzzles is visual trickery more obvious or more disconcerting than in optical illusions. Some are simple, like the famous old woman/young woman image above (or this hilarious video version). But others are not only more complex, they’re absolutely mind-bending.

And if we’re talking mind-bending optical illusions, at some point, you have to mention the work of Akiyoshi Kitaoka.

[Akiyoshi Kitaoka’s “A Bulge,” featuring nothing but squares.]

Dr. Kitaoka is a professor of psychology at Ritsumeikan University in Kyoto, Japan, and he has extensively studied biology and psychology. He has quickly emerged as a modern master of optical illusions, utilizing not only shapes and color gradients to trick the eye, but also to simulate motion in a static image!

Two of the techniques frequently cited in his work with illusions are perceptual transparency and visual completion. Both rely heavily on how our brain and eye process the incredible amount of information we perceive every second of every day.

This is probably the most famous example of a visual completion illusion:

Basically, our brain employs mental shortcuts in order to simplify the information. For instance, visual completion (also known as filling-in) occurs when information unavailable to the eye is assumed to be there and mentally added by the brain.

Perceptual transparency, on the other hand, involves how we can perceive one surface behind another.

Check out this amazing photo from a published paper on perceptual transparency, entitled Zen Mountains:

[The mountains in the background look transparent,
even appearing to overlap each other in impossible ways.]

Dr. Kitaoka’s illusions utilize visual shortcuts and processes such like these, but his most famous creations involve a perceptual technique known as the Fraser-Wilcox Illusion, which involves using lighter and darker gradients of black and white in order to trick the eye into perceiving motion. Essentially, moving from dark to light gradually creates the illusion of motion.

Kitaoka’s work, however, maximizes this effect by employing contrasting color schemes in order to challenge the eye further.

Feast your eyes upon “Rotating Snakes,” Kitaoka’s most diabolical optical illusion:

[For the full effect, click the image and
scroll down for a full-screen version!]

By employing color as well, the rotation illusion is even more striking. In all honesty, I can’t look at it too long or my stomach starts to feel a little off-kilter!

Similarly, Kitaoka tricks the eye into perceiving waves rolling diagonally over this quilt-like sheet in “Primrose’s Field:”

As we understand more about the eye and how it perceives the visual stimuli it receives, as well as more about the brain and how it processes information, I suspect we’ll be able to craft even more convincing, mind-blowing, and unnerving examples of visual sleight of hand.

And undoubtedly, Akiyoshi Kitaoka will be leading the way.


Many thanks to Dr. Kitaoka for granting permission for me to feature three of his illusions in this post. You can check out more of his amazing work on his website, as well as some of his books on Amazon here!

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on TwitterPinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

It’s Follow-Up Friday: Puzzle Book 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’m posting the results of our #PennyDellPuzzleBooks hashtag game!

You may be familiar with the board game Schmovie, hashtag games on Twitter, or @midnight’s Hashtag Wars segment on Comedy Central.

For the last few months, we’re been collaborating on puzzle-themed hashtag games with our pals at Penny/Dell Puzzles, and this month’s hook was Penny/Dell Broadway Puzzles!

Examples might be The Lord of the Diamond Rings or The Da Vinci Codeword or Alphabet Soup for the Soul.

So, without further ado, check out what the puzzlers at PuzzleNation and Penny/Dell Puzzles came up with!


Charlotte’s Spider’s Web

Right Angles and Demons

The Grapes of Word Math

The Scarlet Letterboxes / The Scarlet Letter Logic

The Fault in Our Starspell / The Fault in Our Star Words

Harry Potter and the Halftime Prince

Harry Potter and the Sorcerer’s Stepping Stones

Brave New Word Seeks / Brave New Word Games

The Lion, the Witch, and the Word Seek

The Wizard Words of Oz

The “Mystery Person” of Edward Drood

To Kill a Missing Word (List)

The Fountainheads & Tails Word Seek

Around the Block in Eighty Days / Around the Bend in 80 Days

A Tale of Two-Step Cities

The Three of a Kind Musketeers

Oh, the Places, Please You’ll Go!

Peyton’s Places, Please

Anagrams Karenina

Anagram of Green Gables

North & South of Eden

The Swiss Family Robinson Ties

Bowl Game of Thrones

Ender’s Bowl Game

Fahrenheit Two for One / Fahrenheit 451 and Only

Sudoku Road

Cryptograms Wake / Fill-Ins Wake / Figgerits Wake

Kakuro Pioneers!

Little Puzzler on the Prairie

First and Last of the Mohicans

The Picture Sleuth of Dorian Gray / The Picture This of Dorian Gray

Watership Spelldown

Buried Treasure Island

The Countdown of Monte Cristo

Take It from There to Eternity

The Sign of Four Corners / The Big Four Corners

The Doomsday Bookworms

Great Crostictations

A Wrinkle in Time Machine

The Perks of Being a WallFlower Power

Catch-22 for One

The Hotel on the Poet’s Corner of Bitter and Sweet

50 Shades of Grey Shadows

The Joy Luck Crosswords Club

Jurassic Park What’s Left

My What’s Left Foot

Only The Shadow Knows

From Alphabet Soup to Nuts

Match Up Made in Heaven

Beat the Clock-work Orange

A Hive for a Honeycomb

Star Words

The Lost Symbol-lic Logic

Lord of the Rings: The Fellowship of the Ringmaster

The Sylla-rillion

The Hunger Word Games

198-Four Square

The Sum Totals Also Rises

And one overachiever…

The “Lion” (‘Em Up), the “Which” (Way Words), and the “Word”robe by C(ircle) S(ums) Lewis


We also received a terrific one from @_Screenhog, Cross Sums of All Fears!

Have you come up with any Penny/Dell Puzzle Books of your own? Let us know! We’d love to see them!

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on TwitterPinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

A puzzle hunt 100 years in the making!

Riddles, codebreaking, and scavenger hunts are three of my favorite puzzly topics. I’ve covered each extensively in blog posts previously, exploring not only the history and ever-changing nature of puzzles, but how deeply ingrained puzzle-solving is in our culture, past and present.

Tuesday’s post was about a fairly simple encoded puzzle I found lurking inside a short story. That simplicity, that accessibility is part of why I wrote about it.

For you see, fellow puzzlers, today’s post is not about a simple puzzle. Today’s post covers all three of the topics above — riddles, codebreaking, and scavenger hunts — in a sprawling, mindboggling story about a globe-spanning mystery that gamers and puzzlers joined forces to unravel.

It all started in April 2012 with the release of a video game called Trials Evolution, created by the game designers at Redlynx.

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Trials Evolution is a motorcycle racing game that incorporates real-world physics into the gameplay, challenging players to complete obstacle-filled courses as fast as possible.

Now, this might not seem like the type of game to conceal a fiendish riddle, but players were actually expecting a challenging puzzle to be hiding within the game, because Trials HD, a previous installment of the series, featured a riddle to solve that helped build the Trials gaming community.

So expectations were high for whatever riddle was lurking inside Trials Evolution. And it did not disappoint.

First, players had to locate a series of wooden planks throughout the game, planks that featured encrypted writing on them. Once assembled and decrypted, the planks featured instructions for a special maneuver for players to perform in the game while a particular piece of music played.

Successfully completing this task earned the player a bonus song, which included lyrics suggesting players transform the song into a visual form. Cagey players realized this meant running a spectral analysis on the song — a visual graph of sound or energy — which revealed a hidden message in Morse Code.

That message led to a website where the images below started appearing daily, one by one.

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(It’s worth noting that these images started appearing in late 2013, more than a year after the game was released!)

Each image references a particular scientist. Once all twenty-six images were revealed, the indefatigable players had a visual alphabet to work with.

So when a message appeared using the images instead of letters, players cracked that code as well.

Still with me?

That code led to four sets of coordinates. Real world coordinates across the world! This riddle was only getting more complex the deeper players went!

globe_detailmap2

Something awaited intrepid players in San Francisco, California; Bath, England; Helsinki, Finland; and Sydney, Australia. In each location, players uncovered small chests, each containing a key and a metal plaque with the message “It seemed like forever ago” on it. (The Helsinki location also featured French documents, supposedly from 300 years ago, as well as an antique pocket watch.)

So, what do the keys open? What does it all mean?

Well, there was one last message. On the other side of the metal plaque included in each chest, there was a message:

Midday in Year 2113.
1st Sat in Aug
One of Five keys will open the box
Underneath the Eiffel Tower

That’s right. This riddle can only be unraveled nearly a century from now! This puzzle has gone from a hidden bonus feature in a video game to actual scavenger hunting in the real world, and is now becoming a multigenerational quest.

mauricemeyer

Take a moment and ponder that. It blows my mind to think about a puzzle that took dozens of people to conquer and will now become a story told to friends and sons and daughters as golden keys are passed down, all in the hopes of seeing what awaits us underneath the Eiffel Tower on a particular day in August in 2113.

And it all started with a motorcycle racing video game.

[For more details on the Trials Evolution riddle, check out this thorough write-up on Kotaku.]

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on TwitterPinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

Puzzles in Plain Sight: Coded Puzzles!

Given the nature of my line of work, I think about puzzles a lot. But, as it turns out, even when I’m not thinking about puzzles, puzzles seem to find me anyway.

As followers of our Instagram account know, last night I was reading a collection of supernatural short stories, Dark Detectives, edited by Stephen Jones. Partway through a story titled “Vultures Gather,” I encountered the following passage:

That’s right, an encrypted passage smack dab in the middle of my supernatural mystery story!

As it turns out, our investigators uncover a message left behind by the deceased, indicating that he was murdered! Not only that, but he makes a cagey reference to one of my favorite horror movies in order to provide a method for both exposing and punishing his duplicitous attackers.

It all starts with a letter and two pieces of parchment with Greek lettering. The letter entrusts the paper and their secret contents to the two men, in case anything suspicious should happen. (Fortuitous!)

The investigators, with the help of two of their friend’s books — The Boy’s Book of General Knowledge and The Boy’s Book of Puzzles and Brain Teasers — try to crack it with a simple transposition code, meaning one letter or number represents another. This is the basis of standard cryptograms and many other crypto-puzzles.

[Leela tackling an alien code in Futurama.]

But this only yields gibberish. That is, until they remember something from the letter he left them: “The locks are my favorite books, the key is seven.”

The seventh letter is G, meaning that should be the starting letter of their transposition pattern.

Unraveling the encryption reveals some sinister-sounding magical incantations, which they put aside for the moment.

Then they turn their attention to the remaining bits of code in the letter: the strings (5,2,2,5) and 831214926142252425798. Assuming their friend would want these codes cracked quickly, they employ a simple alphanumeric cipher.

Now, alphanumerics can work several ways.

  • Sometimes, the numbers coincide with those of a push-button telephone, meaning 5 can be J, K, or L.
  • Other times, the numbers represent that letter’s position in the alphabet. A is 1, B is 2, Z is 26, etc.
  • They can also be transposition codes, where each letter corresponds to a random number. This is the case in Codewords.

8312149261422524225798 uses the second style of alphanumeric code. So 8 would be H, 3 would be C…

Wait, that doesn’t work! Unless you remember that “the key is seven,” as mentioned above. Which means that G would be 1, H would be 2, etc.

So now, with some trial and error, 831214926142252425798 becomes 8/3/1/2/14/9/26/14/2/25/24/25/7/9/8, or NIGHTOFTHEDEMON. As it turns out, (5,2,2,5) is a hint to breaking up your answer into words, like the indicator of word length that follows a British-style crossword clue or cryptic crossword clue. This makes the answer NIGHT OF THE DEMON.

[Unfortunately, no one in the story seems to notice that THE is 3 letters, and the clue should’ve read (5,2,3,5). Oops.]


So, in the end, not only did I get a great supernatural detective story (with mystical revenge to boot!), I got a brief refresher on some of the most popular encryption styles employed by puzzlers today.

Not too shabby at all.

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on TwitterPinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

A Free Daily Puzzle in the Penny Dell Crossword App!

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It’s Follow-Up Friday: Indie 500 Puzzle 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.

May 30 marked the first (hopefully annual!) Indie 500 Crossword Tournament, hosted in Washington, D.C. by constructors Erik Agard, Peter Broda, Neville Fogarty, Andy KravisEvan Birnholz, and Finn Vigeland.

While I couldn’t attend the tournament, I did download the tournament puzzles, and after a few weeks, I had the opportunity to sit down and tackle the six puzzles prepared for the event. And today, after a few weeks’ reflection, I thought I’d offer my thoughts on those puzzles, both for the organizers and for any interested PuzzleNationers who might be considering participating in the future.

[Note: I solved the PDF versions of these puzzles, which apparently differed in some ways from the PUZ versions.]


Puzzle 1: Welcome to D.C. by Erik Agard

The opening puzzle offered a solid challenge, utilizing the colors for the various lines of the Washington Metro as clues for the themed entries. (For instance, “Red Line” led you to the answer BASE PATH.)

Agard’s effort set the tone for the rest of the tournament with a some accessible pop culture-fueled clues as well as a fleet of strong, fair clues most puzzlers should have no difficulty cracking. A few more obscure references were made — an Internet meme and a Hunger Games “ship” name among them — but without hindering fair cluing.

Interesting grid entries included GINSU, YOUSE GUYS, and NIQAB, and my favorite clue was probably “Summer’s end?” for TOTAL.

Puzzle 2: Looseness of the Vowels by Peter Broda

Broda’s puzzle incorporated shared boxes — some grid squares were divided in half, allowing two vowels to be placed instead of one — and answering each themed clue required a two-word phrase that shared every consonant.

(For instance, clue 52 Across read “With 52 Across, what David Ortiz practices that annoys his neighbors?” And the grid, once filled, read B[I/A]GP[A/I]P[IE]S, a.k.a. BIG PAPI’S BAGPIPES. This is why the clue cites itself in “With 52 Across,” so that the solver knows the answer word applies twice)

Those neat touches of wordplay weren’t the only tough crossings, however. The crossing of two unusual phrases in BE GENTLE with LAYS STAX actually forced me to abandon the puzzle at one point and return to it later to complete.

Interesting grid entries included TV CHEF, ICE KING, and VISA BILL, and my favorite clue was “Former red giant” for USSR. (Being a science and astronomy geek, I was instantly misled by this one.)

Puzzle 3: Candy Bars by Finn Vigeland

Finn was chosen as the guest constructor to join the five fierce puzzlers who organized the Indie 500, and I was thoroughly impressed with the very clever construction of his grid. In Finn’s puzzle, certain paired black squares were replaced with a graphic of a candy bar, and it was up to the solver to deduce that each entry, either down or across, that touched the candy bar was missing either C, Y, or both.

[The candy bars were in color in the PDF, but I printed them in b and w for solving.]

For instance, in this section of the grid, DIS and ALL (clued as “Checker, for one” and “Word after straight or male, in social justice conversations,” respectively) were actually DISC and ALLY when you added the CY. [Get it? CandY bar?] Similarly, REST and ALTA were actually CREST and YALTA, and the across entry CLING WRAP was actually the theme entry CYCLING WRAP.

This was my favorite of the six puzzles in the tournament, one with a great hook and excellent execution.

Interesting grid entries included SENIOR GALA, DOT GOV, OH BEHAVE!, and PT BOATS, and my favorite clue was easily “Brian who crosswords would have you believe is the only musician worth knowing (other than 97-Across, maybe)” for ENO. (97-Across was, predictably, ONO.)

Puzzle 4: A Cute Puzzle by Andy Kravis

After a pair of heavy-thinking puzzles, Puzzle 4 was an excellent palate cleanser difficulty-wise, complete with solid cluing and some fun entries. Kravis’s puzzle had solvers adding an accented E to the end of themed entries in order to complete them. For instance, “A giant leap for elephant-kind?” was JUMBOJETE.

A well-constructed puzzle (quite possibly designed to lure solvers into a false sense of security before Puzzle 5 walloped them), this was probably the most accessible puzzle of the six, one that casual solvers would quite enjoy.

Interesting grid entries included MINAJ, TEAM USA, KOOPA, and A-MINUS, and my favorite clues were the mildly-risque pair of “Prince Albert’s can?” for both ARSE and LOO.

Puzzle 5: Swap Meet by Neville Fogarty

Apparently, whether it’s the American Crossword Puzzle Tournament or the Indie 500, Puzzle 5 shall forever be a beast of a solve.

Fogarty’s puzzle was by far the toughest of the six, and I admit, it took me forever to uncover the hook: antonyms which crossed at the same starting box were swapped. For instance, 1-Across was “Numbskulled” for THICK and 1-Down was “Dilute” for THIN, but you had to place THICK as 1-Down and THIN as 1-Across.

Beyond that, challenging crossings like IDEA MAN and LAD MAG kept me guessing, and the creative grid entries left few crossword standards for any struggling solvers.

Interesting grid entries included ONE SEC, SHAKY CAM, FAIR GAME, XKCD, and IRISH STEW, and my favorite clue was probably “Number for the troops” for OVER THERE.

[Say, since we’re discussing crosswords, have you checked out the
Penny Dell Crosswords App? This concludes our shameless plug.]

Puzzle 6: The Final Lap by Evan Birnholz

The closing puzzle of the tournament was offered in two difficulty levels: the Inside Track (designated for solvers who finished in the top 25% of the field in a crossword tournament with published standings in the past 5 years) and the Outside Track (designated for everyone else). I opted for the Outside Track, then looked over the cluing for the Inside Track.

This themeless closer was no layup, though; no matter which track you were on, the cluing relied on solid trivia knowledge and classic puzzle-solving skill. (Kudos to Evan for crafting a solid grid with tough AND tougher clues. And for dropping a much-appreciated Army of Darkness reference in the Inside Track clues.)

Interesting grid entries included WHAT ON EARTH?, MOON UNIT, EDIT MENU, and PIE CHART, and my favorite clue (among many I quite liked) was probably “Things a benched player might work on during practice” for ETUDES.


Overall, I thought the Indie 500 was an impressive series of puzzles, rich with cleverness and style. Puzzle 5 easily rivaled ACPT’s Puzzle 5 in terms of difficulty, and the cluing was topnotch. I look forward to its return next year, and hopefully some of you will join me in accepting the Indie 500 challenge!

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on TwitterPinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!