There’s a method to my puzzly madness.

Pattern-finding is not merely a staple of one’s puzzle-solving repertoire, it’s a fundamental part of innumerable scientific, mathematical, and sociological discoveries.

From the Golden Mean and the Pythagorean Theorem to the Platonic solids and instances of symmetry throughout nature, our ability to discern patterns from the chaos all around us has helped to define the rules governing our universe.

Those a-ha! moments come in all shapes and sizes, from discovering previously unknown planets (by observing inconsistencies in established patterns) to the simple joy of puzzling out whether the five-letter word meaning “kingly” that starts with R and ends with L is “REGAL” or “ROYAL”.

This combination of keen observation and associative thinking is key to solving a lot of puzzles and brain-teasers.

For instance, consider the following numerical progression:

49 50 53 54 ___ 58 61 62 65

Pretty simple, right? Just add 1, then add 3, and repeat, making 57 the missing entry in the chain.

How about this one?

J F M A M J J…

What comes next?

While this one isn’t as straightforward as the numerical one above, the same parts of the brain are lighting up as you assess the possibilities, toss aside those that don’t fit, and conclude that these can only be the months of the year, and A, for August, would come next.

And here’s one that combines aspects of our previous examples, which I mentioned in a blog post last year:

In this zero-to-ten puzzle, place the missing numbers.

8 5 4 _ _ 7 _ 10 3 2 0

Now, if you started with mathematical patterns, you’d be stymied pretty quickly. -3, -1, blanks, -7, -1, -2. Nothing jumps out at you.

Then the associative brain kicks in, and you look beyond the numbers. What could they represent? Letters? Syllables?

And then the sheer simplicity of alphabetical order hits you like a freight train full of Scrabble tiles, and you instantly know where to place nine, one, and six.

Of course, there’s a flipside to such intuitive leaps. It’s called apophenia.

Apophenia is the spontaneous perception of connections and meaningfulness of unrelated phenomena.

This is the sort of thinking that fuels conspiracy theories and false positives in scientific data, assigning causality to coincidence.

One step beyond apophenia, you have pareidolia, a psychological term for the mind’s obsession with finding patterns in essentially random objects. When people see a face on the surface of Mars due to shadow and geography, or they see the Virgin Mary in the burn marks on a grilled cheese sandwich, that’s pareidolia at work.

It’s all part and parcel of being a pattern-finder. Some patterns reveal the underpinnings of the universe, others just reveal you’ve been staring at a tile floor a little too long. =)

Oh, and before I go, here’s one more numerical progression for the road. Enjoy!

242 121 123 41 ___ 11 15 3 8

Across (the plate) and Down (the middle)

Puzzle fiends come from all occupations and walks of life, but it’s always fun to discover a new subculture of puzzle solvers. In this Wall Street Journal article, Jared Diamond explores the curious connection between pitching and puzzles. Enjoy!

A day for puzzles and games galore!

Aloha, friends and fellow puzzle fiends! Just a quick reminder that tomorrow (March 30th) is International TableTop Day!

For the uninitiated, International TableTop Day is the brainchild of Internet superstars and gaming devotees Wil Wheaton and Felicia Day, a day devoted to board games, card games, dice games, roleplaying games (RPGs), and any other communal game-playing activity played on a table or any convenient flat surface.

(And with so many puzzle-based games out there, from Boggle and Scrabble to Jenga and Hex, I think it definitely merits mention here on the PuzzleNation blog.)

While the term “TableTop” was originally coined to differentiate one style of gaming or roleplaying from another. TableToppers were your Magic card-carrying, dice-rolling, character sheet-wielding gamers, as opposed to those who played video games or engaged in Live-Acting Roleplaying (LARPing).

Obviously, the definition has since expanded to include many other types of games, so long as you play with others around a table.

As not only a self-confessed puzzlin’ fool, but a devoted player of Dungeons & Dragons and other RPGs, I’m happy to tell you that some of my all-time favorite puzzles have come from my experiences as a roleplayer.

I remember being trapped in a dungeon in my friend’s game, and there was this elaborate machine that would open the door with flowing water if you could direct the water properly. You did so by way of numerous levers located in various rooms around the dungeon. And as a bare-bones adventuring party, we didn’t have anything with which to draw a map of the labyrinthine corridors, so I basically had to memorize the route in my head, figure out what each of the levers did, then run around the dungeon pulling them in the precise order necessary to unlock the door.

It was mindbending and frustrating and a terrific time. That’s the kind of puzzle-gaming experience I’d love to share with others.

Since Easter is this Sunday and I’ll already be spending time with my nephews this weekend, I’m hoping to introduce them to some of my favorite board games and puzzle games. I’ll definitely be bringing my two-player version of Brick by Brick with me.

A variation on the classic Tangram-style of piece-moving puzzle solving, Brick By Brick puzzles offer a shadowed shape you need to form with irregularly shaped bricks. You can play by yourself or go head-to-head with an opponent, or even team up and use both sets of bricks to solve even tougher shadow puzzles. It’s great fun and a terrific brain-teaser.

I’m hoping it’ll be the gateway drug to other puzzle games as they get older, since they’re a little too young for some of my favorites. (Like U.S. Patent Number 1, the game where you’ve built a time machine, and so have your opponents, and you race to soup them up and travel back in time to register for the very first patent. It’s a blast.)

Oh, and Older Sister? Beware, I’m also bringing Upwords, a marvelous variation on Scrabble where you can place letters on top of other letters in order to form new words. You’re going down, sis!

Of course, in the midst of all this TableToppy goodness, I’ll be bending the rules a bit, since I also plan on sharing the spirit of International TableTop Day by playing some two-player PuzzleNation games with friends abroad. Hey, it’s much harder to gather around the table with an ocean between you.

In any case, I hope you indulge your puzzle fancy tomorrow with some communal puzzle-game goodness. Have a fantastic holiday!

Treasure awaits

Three years ago, a very rich (and maybe slightly eccentric) person named Forrest Fenn hid a treasure chest containing millions of dollars worth of treasure. Yes, somewhere out there in the world is an actual treasure chest holding gold and diamonds, just waiting for someone to dig it up. (Assuming it’s buried — who knows?)

How does one find this treasure? By deciphering the nine clues in Fenn’s poem, “The Thrill of the Chase.”

As I have gone alone in there
And with my treasures bold,
I can keep my secret where,
And hint of riches new and old.

Begin it where warm waters halt
And take it in the canyon down,
Not far, but too far to walk.
Put in below the home of Brown.

From there it’s no place for the meek,
The end is drawing ever nigh;
There’ll be no paddle up your creek,
Just heavy loads and water high.

If you’ve been wise and found the blaze,
Look quickly down, your quest to cease
But tarry scant with marvel gaze,
Just take the chest and go in peace.

So why is it that I must go
And leave my trove for all to seek?
The answers I already know
I’ve done it tired, and now I’m weak

So hear me all and listen good,
Your effort will be worth the cold.
If you are brave and in the wood
I give you title to the gold.

…Yeah. My guess is, this treasure is going remain hidden for a while yet. But if you need some quick cash and you’re particularly good at obscure clues, I think I just found you your new hobby.

It’s all in how you look at it

I can’t get enough of these large-scale illusions of perspective from Felice Varini. Luckily, he doesn’t seem to get tired of creating them.

I’m gonna need a stepladder.

Plenty of places claim they offer large crosswords for the truly devoted solver, but nobody holds a candle to the Ukraine, whose citizens crafted this 100-foot-tall monument to puzzling.

Located in the city of Lviv (Lvov, to Russian speakers), the puzzle is an art installation perfectly designed to keep visitors thoroughly challenged. The clues are scattered on landmarks throughout the city, further encouraging both tourism and brain-boosting.

The puzzle appears incomplete during the day, but at night, special lighting reveals the answers in fluorescent paint.

I can only hope this will inspire other communities to raise the stakes even higher. Crop crosswords that can only be solved with Google Maps! Landscaping sudoku hedges complete with topiary set numbers! Cowboy-style word searches where you actually lasso words on cattle!

Okay, maybe not that last one. But hey! At least I’m trying! The artists of Lviv have set the bar — not to mention the grid — pretty darn high.