Tag Archives: palindrome

Puzzles and Games With a Sacred Touch?

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In recent times, religion and the world of puzzles and games have crossed paths with sometimes surprising results.

The film adaptation of The Da Vinci Code, a fairly puzzle-centric thriller, was widely denounced by members of the Catholic Church, and there was similar resistance, though less vocal, against the sequel film, Angels & Demons.

And, of course, in the 1980s, the roleplaying game Dungeons & Dragons was condemned as Satanic and dangerous to young minds.

I say that the above is strange because, for the most part, these seem to be anomalies or isolated incidents. There are numerous instances throughout history where puzzles and games were embraced by religion, even used as tools to teach aspects of religious beliefs.

For instance, in ancient Egypt, we’ve seen evidence of puzzly techniques used not just to secure the tomb of Tutankhamun, but also to disguise the language and rituals employed by elite members of their society. Puzzles were entrusted to keep their secrets well beyond the grave.

the seal on king tut's tomb

Plus one of the most ancient games in the historical record, Senet, seems to have evolved from being an enjoyable pastime into a spiritual tool.

You see, some Senet boards have religious iconography on them, believed to symbolize the journey into the afterlife. So gameplay — or the inclusion of the gameboard itself among the belongings of the deceased — represented that journey and the quest to learn more about it.

Some online articles have taken to referring to Senet as “the Rosicrucian board game of death,” which is a harsh misinterpretation.

There was also an afterlife connection with games for the Vikings.

According to Mark Hall, a curator at Perth Museum and Art Gallery, there have been 36 burials where board games of some description have been found in the graves around Northern Europe.

These grave sites grant intriguing insight into how the Vikings viewed board games as a learning tool. It’s believed that including a board game among the effects of the deceased signaled not only their skill and status as a warrior, but their preparedness for the afterlife itself. Heck, their win-loss records were even recorded for posterity!

Palindromes were believed to work as magical shields that protected those wearing the talismans bearing such clever wordplay.

Heck, even the shape of dice were influenced by changing religious views. Early dice games gave very little consideration to the shape or evenness of dice, because rolls were believed to be guided by Fate or some greater outside force, so the shape didn’t matter.

As religious beliefs evolved away from gods and greater forces intervening in such things, the general spirit of fairness in dice began to prevail, and the shape, balance, and pip distribution of dice became much more standardized.

And as for the Catholic Church, I certainly didn’t mean to make it look like I was picking on them in the introduction, because there are positive associations between the church and the world of puzzles and games as well.

And no, I’m not just talking about lighthearted products like BibleOpoly or the cottage industry of family-friendly games like Bible editions of Outburst, Scattergories, Apples to Apples, Scrabble, and Taboo.

Chess boards and other game boards have been found in houses formerly used by the Knights Templar, for instance.

There’s also the puzzly art of carmina figurata, poems wherein either the entire body of the poem or select parts form a shape or pattern. These works originated as religious tributes, poems where letters were colored red to stand out from the regular black lettering in order to draw attention to or highlight a certain religious figure.

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[“De laudibus sanctae Crucis” by Oliverus.
Image courtesy of WTF Art History.]

There would be hidden words or messages concealed in the text, some speaking of the religious icons at the center of the piece in glowing terms.

Do you have any favorite puzzles and games that have an element of religion to them, fellow puzzlers and PuzzleNationers? Let us know in the comments section below. We’d love to hear from you!

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Prose, Poetry, and Puzzles: Multiple Ways to Look at the Same Text!

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Puzzle fans are used to searching for multiple avenues of entry when it comes to solving.

Crosswords have the across and down clues. Some people go straight for the pop culture clues, while others seek out fill-in-the-blank clues. Diagramless crosswords add an additional challenge by removing the black squares and set numbers that guide you.

Fill-Ins and Word Seeks have all sorts of entries you can start hunting through the grid for. Logic problems have several clues you can use to whittle down possibilities and utilize the information you have.

Heck, Rubik’s solvers are positively awash in potential paths to success.

[Image courtesy of Gizmodo.]

Fans of more complicated jigsaw puzzles are also familiar with this concept. The standard approach is to find the edges and work your way in, but I know plenty of solvers who either sort by color or build from the middle around recognizable figures in the image.

Of course, jigsaw puzzle companies know this and they abandon the traditional rules of jigsaw puzzles, creating some diabolical ways to force you to change your tactics and find new ways in. There are jigsaw puzzles with no edge pieces (meaning no flat edges), so-called “infinite” puzzles like the one pictured above, and brain-teaser jigsaws where the pieces can be assembled in many different ways, but there’s only one correct solution.

And as it turns out, there are a few historical items that prove this sort of multi-approach thinking isn’t limited to puzzles.

book-1

[Image courtesy of This Is Colossal.]

Say hello to a marvelous variation on the dos-à-dos book concept that resides in the National Library of Sweden.

Normally, dos-à-dos books (or back-to-back) books are just what they sound like: two books bound together at the spine. But this religious text is six books in one. Depending on which clasps you have open and shut, you can read this book six different ways.

Each book is a devotional text printed in Germany during the 16th century — including Der Kleine Katechismus by Martin Luther — and it’s a masterwork of craftsmanship, skill, and design. It boggles my mind just looking at it.

And yet, a single book with six ways to read it seems like a drop in the bucket when you compare it to a poem that can be read thousands of different ways.

[Image courtesy of Wikipedia.]

This is Star Gauge, also known as Xuanji Tu (Picture of the Turning Sphere). It is a palindrome poem by Su Hui, a 4th-century female Chinese poet whose most famous creation still amazes to this day.

Written in the form of a 29 x 29 grid of characters, Xuanji Tu can be read forward or backwards, horizontally or vertically or diagonally, or organized by its color-coded grids.

As you might have guessed, it’s called a palindrome poem because it can be read backwards or forwards, though some scholars have estimated more than 2,800 different rhyming poems can be produced by reading it different ways.

Most of her other works have been lost to history, but this one piece alone leaves an incredible legacy.

Whether it’s a six-fold book, a puzzle with an infinite number of arrangements, or a poem with thousands of different interpretations, it’s amazing what you can create with a puzzly mindset and the insight to approach things from a unique perspective.

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The Search for the Greatest Palindrome

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[Palindrome, written as an ambigram.]

Palindromes are a classic — and challenging — form of wordplay. Essentially, you’re trying to come up with phrases or entire sentences that read the same backwards and forwards.

Although palindromes have been around for a very long time — dating back to magic squares — they’ve gained additional prominence in recent years. The 2017 World Palindrome Championship was determined alongside the American Crossword Puzzle Tournament the same year. They have their own awards ceremony: The SymmyS Awards. There was even a documentary on the subject.

Palindrome creation was a popular pastime in Bletchley Park during the off-time of the codebreakers and staff. And those palindromic magic squares we referenced earlier? It was once believed that they held magical properties and served as incantations to ward off threats both spiritual and physical.

Musician, parodist, and wordsmith “Weird Al” Yankovic, no stranger to palindromes himself, once said that “the writing of a brilliant palindrome is a small miracle, and that, I think, deserves to be honored more than a lot of the stupid and inconsequential things we often celebrate in our culture.”

They’re an integral part of puzzle history.

But why do I have palindromes on the brain today? Because I’ve been trying to figure out which one is the best one ever created.

It’s a tricky topic, extremely subjective. What parameters do I use to choose the palindrome in the top spot?

The most famous one is either “Madam, I’m Adam” or “a man, a plan, a canal… Panama!”

I prefer the latter. It’s not just thematically appropriate to its subject, but it’s also a univocalic, a sentence using only one vowel. There’s a lot of linguistic legerdemain going on here.

It has been expanded upon, of course. I’ve seen this wordier version around:

A man, a plan, a canoe, pasta, heros, rajahs, a coloratura, maps, snipe, percale, macaroni, a gag, a banana bag, a tan, a tag, a banana bag again (or a camel), a crepe, pins, Spam, a rut, a Rolo, cash, a jar, sore hats, a peon, a canal — Panama!

Do I go by sheer length? Some palindromes are incredibly long, but are mostly nonsense.

My friend Troy recently shared this lengthy palindrome with me:

Dennis, Nell, Edna, Leon, Nedra, Anita, Rolf, Nora, Alice, Carol, Leo, Jane, Reed, Dena, Dale, Basil, Rae, Penny, Lana, Dave, Denny, Lena, Ida, Bernadette, Ben, Ray, Lila, Nina, Jo, Ira, Mara, Sara, Mario, Jan, Ina, Lily, Arne, Bette, Dan, Reba, Diane, Lynn, Ed, Eva, Dana, Lynne, Pearl, Isabel, Ada, Ned, Dee, Rena, Joel, Lora, Cecil, Aaron, Flora, Tina, Arden, Noel, and Ellen sinned.

It makes more sense than the Panama one, but just barely. It’s a thinly disguised list, that’s all.

So, is narrative coherence a necessity for the best palindrome ever?

World Champion Palindromist Mark Saltveit claims that his first palindrome was “Resoled in Saratoga, riveting in a wide wale suit, I use law, Ed. I, wan, ignite virago, tar a snide loser.”

It’s lengthy, and it mostly makes sense. But Saltveit rarely worries about that. One of his most famous creations is this borderline nonsensical concoction:

Devil Kay fixes trapeze part; sex if yak lived.

Sure, it manages to use Xs and a Z, but it’s gibberish. I much prefer his winner from the First World Palindrome Championship in 2012:

I tan. I mull. In a way, Obama, I am a boy, a wan Illuminati.

The Bletchley Park palindromists demanded some level of coherence. One of the most impressive produced there was “Doc, note, I dissent. A fast never prevents a fatness. I diet on cod.”

It’s certainly impressive, and feels like it could be spoken casually.

Maybe the ideal palindrome walks the tightrope of cleverness, innovation, length, and coherence.

Although it’s quite short, I do enjoy this existential one from the 2018 SymmyS Awards: “Am I man-made? Damn! Am I, Ma?”

I’ve pored over dozens and dozens of palindromes, trying to find one that best represents the wordplay and the art form. And I’ve made my choice.

In my humble, puzzly opinion as a self-appointed adjudicator of palindromic magnificence, I choose Anthony Etherin’s “The Failed Cartographer” as the best palindrome I’ve ever seen.

Please enjoy this wistful, almost operatic bit of wordplay:

Demand a hill, at solid nadir…. Damn it! One morn I saw I was in Rome,
not in Madrid, and I lost all I had named…

Magical.

Can you think of a palindrome that better epitomizes the genre? Please share in the comments section below. We’d love to hear from you!

Oh, and as for my favorite palindrome? That’s easy. It’s a stupid one I wrote for a friend.

“My friend Sean has a really weird last name: Emantsaldriewyllaerasahnaesdnierfym.”

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Puzzly Ideas to Keep You Busy!

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We’re all doing our best to keep ourselves and our loved ones engaged, entertained, and sane during these stressful times.

And after weeks of doing so, it’s possible you’re running out of ideas.

But worry not! Your puzzly pals at PuzzleNation are here with some suggestions.

Please feel free to sample from this list of activities, which is a mix of brain teasers to solve, puzzly projects to embark upon, treasure hunts, unsolved mysteries, ridiculous notions, creative endeavors, and a dash of shameless self-promotion.

Enjoy, won’t you?

Puzzly Ways To Get Through Self-Quarantine

In all seriousness, we hope these ideas help you and yours in some small way to make the time pass in a fun and puzzly fashion. Be well, stay safe, and happy puzzling.

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Cracking the GCHQ Christmas Card!

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As you may recall, my fellow puzzlers and PuzzleNationers, a few months ago, a government organization in England called the GCHQ — Government Communications Headquarters — released a puzzly Christmas card designed to tax even the savviest puzzle solvers.

They’ve finally released the answers to this mind-blowing series of puzzles, and I’d like to go over some of them with you. Partly to marvel at the puzzle wizardry necessary to solve this challenging holiday gift, and partly to gloat about the parts I managed to solve.

So let’s get to it!

Part 1 was a logic art puzzle where you have to deduce where to place black squares on an open grid in order to form a picture.

Each column and row has a series of numbers in it. These numbers represent runs of black squares in a row, so a 1 means there’s one black square followed by a blank square on either side and a 7 means 7 black squares together with a blank square on either side.

This is mostly a deduction puzzle — figuring out how to place all the strings of black squares with white spaces between them within the space allotted — but no image immediately emerged, which was frustrating. Once the three corner squares started to form though, I realized the answer was a QR code, and the puzzle started to come together nicely.

Part 2 was a series of six multiple-choice brain teasers. I’ll give you the first three questions, along with answers.

Q1. Which of these is not the odd one out?

A. STARLET
B. SONNET
C. SAFFRON
D. SHALLOT
E. TORRENT
F. SUGGEST

Now, if you stare at a list of words long enough, you can form your own patterns easily. Here’s the rationale the GCHQ used to eliminate the odd ones out:

STARLET is an odd one out because it does not contain a double letter.
SONNET is an odd one out because it has 6 letters rather than 7.
SAFFRON is an odd one out because it ends in N rather than T.
TORRENT is an odd one out because it starts with T rather than S.
SUGGEST is an odd one out because it is a verb rather than a noun.

SHALLOT is our answer.

Q2. What comes after GREEN, RED, BROWN, RED, BLUE, -, YELLOW, PINK?
A. RED
B. YELLOW
C. GREEN
D. BROWN
E. BLUE
F. PINK

After playing around with some associative patterns for a while, I realized that somehow these colors must equate to numbers. First I tried word lengths, but 5-3-5-3-4-___-6-4 didn’t make any sense to me. But then, it hit me: another time where colors and numbers mix.

Pool balls. Of course, the colors and numbers didn’t match, because this is a British puzzle, and they don’t play pool, they play snooker.

So the colored balls in snooker become the numbers 3, 1, 4, 1, 5, -, 2, 6. The numbers of Pi. And now the blank makes sense, because Pi reads 3.1415926, and there’s no 9 ball in snooker.

So the next number in the chain is 5, and 5 is the color BLUE.

Q3. Which is the odd one out?
A. MATURE
B. LOVE
C. WILDE
D. BUCKET
E. BECKHAM
F. SHAKA

This one came pretty quickly to me, as the names Oscar Wilde and Charlie Bucket leapt out. And if you follow the phonetic alphabet, you also get Victor Mature, Romeo Beckham, and Shaka Zulu. (I didn’t get Mike Love, however.)

Since Shaka Zulu was the only one where the phonetic alphabet word was the surname, not the first name, SHAKA is the odd one out.

(The other three questions included an encryption puzzle, a number pattern (or progressions puzzle), and a single-letter puzzle.)

Granted, since you could retake this part as many times as you wanted, you could luck your way through or brute force the game by trying every permutation. But managing to solve most of them made this part go much faster.

Part 3 consisted of word puzzles, and was easily my favorite section, because it played to some strengths of mine.

A. Complete the sequence:

Buck, Cod, Dahlia, Rook, Cuckoo, Rail, Haddock, ?

This sequence is a palindrome, so the missing word is CUB.

B. Sum:

pest + √(unfixed – riots) = ?

This one is a little more involved. To complete the formula, you need to figure out what numbers the words represent. And each word is an anagram of a French number. Which gives you:

sept + √(dix-neuf – trois) = ?

Dix-neuf is nineteen and trois is three, so that’s sixteen beneath a square root sign, which equals four. And sept (seven) plus four is eleven.

The French word for eleven is onze, and ZONE is the only anagram word that fits.

C. Samuel says: if agony is the opposite of denial, and witty is the opposite of tepid, then what is the opposite of smart?

This is a terrific brain teaser, because at first blush, it reads like nonsense, until suddenly it clicks. Samuel is Samuel Morse, so you need to use Morse Code to solve this one. I translated “agony” and tried reversing the pattern of dots and dashes, but that didn’t work.

As it turns out, you need to swap the dots and dashes, and that’s what makes “denial” read out. This also worked with “witty” and “tepid,” so when I tried it with “smart,” the opposite was OFTEN.

D. The answers to the following cryptic crossword clues are all words of the same length. We have provided the first four clues only. What is the seventh and last answer?

1. Withdraw as sailors hold festive sing-song
2. It receives a worker and returns a queen
3. Try and sing medley of violin parts
4. Fit for capture
5.
6.
7. ?

Now, I’m not a strong cryptic crossword solver, so this part took FOREVER. Let’s work through it one clue at a time.

1. Withdraw as sailors hold festive sing-song

The word WASSAIL both reads out in “withdraw as sailors hold” and means “festive sing-song.”

2. It receives a worker and returns a queen

The word ANTENNA both “receives” and is formed by “a worker” (ANT) and “returns a queen” (ANNE, reading backward).

3. Try and sing medley of violin parts

The word STRINGY is both an anagram of “try” and “sing” and a violin part (STRING).

4. Fit for capture

The word SEIZURE means both “fit” and “capture.”

Those four answers read out like this:

WASSAIL
ANTENNA
STRINGY
SEIZURE

And with three more answers to go, it seemed only natural that three more seven-letter answers were forthcoming. Plus, when you read the words spelling out downward, you notice that the first four letters of WASSAIL, ANTENNA, STRINGY, and SEIZURE were spelling out.

If you follow that thought, you end up with the start of a 7×7 word square:

 WASSAIL
ANTENNA
STRINGY
SEIZURE
ANNU___
INGR___
LAYE___

And the only seven-letter word starting with INGR that I could think of was INGRATE.

WASSAIL
ANTENNA
STRINGY
SEIZURE
ANNU_A_
INGRATE
LAYE_E_

And if the last word is LAYERED…

WASSAIL
ANTENNA
STRINGY
SEIZURE
ANNU_AR
INGRATE
LAYERED

Then the missing word must be ANNULAR. The original question asked for the last word though, so our answer is LAYERED.

This brings us to Part 4, Number Puzzles, where I must confess that I finally tapped out, because I could only figure out the first of the three progressions involved.

Fill in the missing numbers.

A. 2, 4, 8, 1, 3, 6, 18, 26, ?, 12, 24, 49, 89, 134, 378, 656, 117, 224, 548, 1456, 2912, 4934, 8868, 1771, 3543, …

B. -101250000, -1728000, -4900, 360, 675, 200, ?, …

C. 321, 444, 675, 680, 370, 268, 949, 206, 851, ?, …

In the first one, you’re simply multiplying by 2 as you go.

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, and so on.

But you begin to exclude every other number as you move into double-digits, triple-digits, quadruple-digits, and beyond.

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, and so on.

So the answer, 512, becomes the real answer, 52.

But, as I said, I couldn’t crack the other two, and I’m already exhausted just running through these four sections!

And, based on the answers they released recently, Part 5 only got more mindbending from there.

As a matter of fact, not a single entrant managed to get every answer in Part 5 correct. Prizes were awarded to the three people who came closest however, and it turns out a staggering 30,000+ people made it to Part 5. Color me impressed!

This was, without a doubt, the most challenging puzzle suite I have ever seen, and I offer heartfelt kudos to anyone in the PuzzleNation Blog readership who even attempted it!

You’re welcome to try it out for yourself, though. I highly recommend using this link from The Telegraph, which allows you to skip to the next part if you get stumped.

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A puzzly British Christmas card!

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One government agency in England celebrates Christmas a little bit differently than most.

The GCHQ — Government Communications Headquarters — provides security and intelligence services for the British government. Back when they were known as GC&CS — Government Code and Cypher School — they were responsible for funding the Bletchley Park successes cracking the German “Enigma” code during World War II.

And for Christmas this year, they’ve released a puzzly Christmas card that’s sure to challenge even the staunchest puzzlers.

Step 1 of the puzzle is a logic art puzzle where you have to deduce where to place black squares on an open grid in order to form a picture.

Each column and row has a series of numbers in it. These numbers represent runs of black squares in a row, so a 1 means there’s one black square followed by a blank square on either side and a 7 means 7 black squares together with a blank square on either side.

Once you’ve solved this puzzle, you can use it to unlock the next puzzle in the chain.

From an article on GCHQ.gov.uk:

Once all stages have been unlocked and completed successfully, players are invited to submit their answer via a given GCHQ email address by 31 January 2016. The winner will then be drawn from all the successful entries and notified soon after.

Players are invited to make a donation to the National Society for the Prevention of Cruelty to Children, if they have enjoyed the puzzle.

This is one majorly challenging Christmas card. After you’ve conquered the logic art puzzle, you’ll confront brain teasers, palindromes, pattern-matching, deduction, number progressions, codebreaking, cryptic crossword-style cluing, and more.

I would highly recommend teaming up with another puzzle-minded friend (or more) and trying your luck. Let us know how far you get! (And you can hit up this article from the Telegraph for aid as well.)

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