A ditloid is a curious and clever puzzle — something that would have greatly amused Lewis Carroll’s Mad Hatter. Specifically, a ditloid is a word game in which a phrase, term, title, quotation, proverb, or fact must be deduced from numbers and abbreviations in the clue. For example (answers in parenthesis):
60 = S. in a M. (60 seconds in a minute)
99 = B. of B. on the W. (99 bottles of beer on the wall)
7 = A. of M. (7 Ages of Man).
You get the idea. The word game was named after the following puzzle: 1=D. it L. o I. D. (1 Day in the Life of Ivan Denisovich), by the Daily Express, a London newspaper. This word game is also referred to as a “linguistic equation” or “numerical phrase.”
The most famous ditloids — indeed, the ditloids that launched a thousand ditloids — were created by puzzle master extraordinaire Will Shortz, former editor of Games magazine and current crossword puzzle editor for The New York Times, puzzle master on NPR’s Weekend Edition Sunday, and author of more than 100 books on puzzles. (Incidentally, he is an avid puzzle book collector, owning more than 20,000 puzzle books and magazines). Shortz introduced the word game, which he initially called an “Equation Analysis Test” , in the May-June 1981 issue of Game magazine. Since this was the time before the birth of the Internet, the puzzle was circulated the old fashioned way; Shortz elaborates: “Some anonymous person had retyped the puzzle from Games (word for word, except for my byline), photocopied it, and passed it along. This page was then rephotocopied ad infinitum, like a chain letter, and circulated around the country. Games readers who hadn’t seen the original even started sending it back to Games as something the magazine ought to consider publishing!” Interestingly, this “photocopied” list still gets forwarded, albeit as an image file in chain emails.
Shortz’s inspiration for the word puzzle came from Morgan Worthy’s AHA! A Puzzle Approach to Creative Thinking, published in 1975. Worthy introduced the Formula Analysis Test that had a slightly different construction: M. + M. + N.H. + V. + C. + R.I. = N.E. (Maine + Massachusetts + New Hampshire + Vermont + Connecticut + Rhode Island = New England) and 1 B. in the H. = 2 in the B. (A bird in the hand is worth two in the bush). Worthy, in turn, was inspired by obscene graffiti in a college bathroom; Worthy explains in his book, “I first became interested in aha! thinking ten years ago while a graduate student at the University of Florida. Part of the graffiti in the men’s room of the psychology building was a cryptic formula someone had written in large letters on the wall. I was intrigued by this little puzzle and, of course, had occasion to be reminded of it from time to time. Finally, one day, the answer (yes, obscene) suddenly came to me. It happened that I was studying creativity at the time and I realized that my response to solving the graffiti puzzle was very like the ‘aha! effect’ about which I had been reading… I constructed a test of times similar in principle to the one I found on the rest room wall.” In order to develop his Formula Analysis Test, Worthy followed this criteria: the puzzles do not require special information or a large vocabulary, the puzzles cannot be solved by step-by-step process, and each puzzle is relatively easy in that it is short and contains few items. Based on research by Worth, scores on solving these type of tests are not correlated significantly with I.Q. scores, but rather validated tests that measure creative thinking.
Without further ado, here are the original 24 word puzzles, the Equation Analysis Test, created by Shortz. Give it a shot, and see how many you can solve. The answers will be presented in this post in a few days. And no cheating (using Google to solve the equations). Remember, solving the puzzles is not about being smart, but rather, about being creative. So clear your mind, put some music on, chill, and let the letters and numbers speak to you… and be sure to share this with your friends, to see how they do.
1 = W. on a U.
3 = B.M. (S.H.T.R.!)
4 = Q. in a G.
5 = D. in a Z.C.
7 = W. of the A.W.
8 = S. on a S.S.
9 = P. in the S.S.
11 = P. on a F.T.
12 = S. of the Z.
13 = S. on the A.F.
18 = H. on a G.C.
24 = H. in a D.
26 = L. of the A.
29 = D. in F. in a L.Y.
32 = D.F. at which W.F.
40 = D. and N. of the G.F.
54 = C. in a D. (with the J.)
57 = H.V.
64 = S. on a C.
88 = P.K.
90 = D. in a R.A.
200 = D. for P.G. in M.
1,000 = W. that a P. is W.
1,001 = A.N.
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For further reading: Aha! A Puzzle Approach to Creative Thinking by Morgan Worthy
Will Shortz’s Best Brain Busters by Will Shortz
ANSWER KEY TO EQUATION ANALYSIS TEST BY WILL SHORTZ
1 = Wheel on a Unicycle
3 = Blind Mice (See How They Run!)
4 = Quarts in a Gallon
5 = Digits in a Zipcode
7 = Wonders of the Ancient World
8 = Sides on a Stop Sign
9 = Planets in the Solar System
11 = Players on a Football Team
12 = Signs of the Zodiac
13 = Stripes on the American Flag
18 = Holes on a Golf Course
24 = Hours in a Day
26 = Letters of the Alphabet
29 = Days in February in a Leap Year
32 = Degrees Fahrenheit at which Water Freezes
40 = Days and Nights of the Great Flood
54 = Cards in a Deck (with the Jokers)
57 = Heinz Varieties
64 = Squares on a Checkerboard (or Chessboard)
88 = Piano Keys
90 = Degrees in a Right Angle
200 = Dollars for Passing Go in Monopoly
1,000 = Words that a Picture is Worth
1,001 = Arabian Nights