Take an ordinary chessboard and cut off two diagonally opposite corners. Now: Is it possible to tile the remaining 62 squares with 31 dominoes?
This calls for inspiration rather than trial and error. Most people see the solution immediately or not at all.
First published in 1671, this anonymous verse came with a simple instruction that would render it into sense. Can you discover it?
I saw a peacock with a fiery tail
I saw a blazing comet drop down hail
I saw a cloud with ivy circled round
I saw a sturdy oak creep on the ground
I saw a pismire swallow up a whale
I saw a raging sea brim full of ale
I saw a venice glass sixteen foot deep
I saw a well full of men’s tears that weep
I saw their eyes all in a flame of fire
I saw a house as big as the moon and higher
I saw the sun even in the midst of night
I saw the man that saw this wondrous sight.
I saw a pack of cards gnawing a bone
I saw a dog seated on Britain’s throne
I saw King George shut up within a box
I saw an orange driving a fat ox
I saw a butcher not a twelvemonth old
I saw a great-coat all of solid gold
I saw two buttons telling of their dreams
I saw my friends who wished I’d quite these themes.
White to move. I won’t give the solution — try it out and you’ll see why.
(Composed by V. Röpke, Skakbladet, 1942.)
Kangaroo words contain smaller versions of themselves. INDOLENT, for example, contains the letters I-D-L-E, in order. Can you find the hidden synonyms in each of these words?
A chess problem posed by Sam Loyd, published in Le Sphinx, 1866:
“Construct a game which ends with Black delivering discovered checkmate on move four.”
“Christopher Columbus’s Egg Puzzle,” as it appeared in Sam Loyd’s Cyclopedia of Puzzles (1914):
The famous trick-chicken, Americus Vespucius, after whom our great country was named, showed a clever puzzle wherein you are asked to lay nine eggs so as to form the greatest possible number of rows of three-in-line. King Puzzlepate has only succeeded in getting eight rows, as shown in the picture, but Tommy says a smart chicken can do better than that!
Can you?
On a train, Smith, Robinson, and Jones are the fireman, the brakeman, and the engineer (not necessarily respectively). Also aboard the train are three passengers with the same names, Mr. Smith, Mr. Robinson, and Mr. Jones.
(1) Mr. Robinson is a passenger. He lives in Detroit.
(2) The brakeman lives exactly halfway between Chicago and Detroit.
(3) Mr. Jones is a passenger. He earns exactly $20,000 per year.
(4) The brakeman’s nearest neighbor, one of the passengers, earns exactly three times as much as the brakeman.
(5) Smith is not a passenger. He beats the fireman in billiards.
(6) The passenger whose name is the same as the brakeman’s lives in Chicago.
Who is the engineer?
Nothing is better than eternal happiness.
Eating a hamburger is better than nothing.
Therefore, eating a hamburger is better than eternal happiness.
“In an old church in Westchester county, N.Y., the following consonants are written beside the altar, under the Ten Commandments. What vowel is to be placed between them, to make sense and rhyme of the couplet?”
P.R.S.V.R.Y.P.R.F.C.T.M.N.
V.R.K.P.T.H.S.P.R.C.P.T.S.T.N
— Charles Bombaugh, Facts and Fancies for the Curious From the Harvest-Fields of Literature, 1860
Another puzzle from Henry Ernest Dudeney, The Canterbury Puzzles, 1908:
“Inside a rectangular room, measuring 30 feet in length and 12 feet in width and height, a spider is at a point on the middle of one of the end walls, 1 foot from the ceiling, as at A, and a fly is on the opposite wall, 1 foot from the floor in the centre, as shown at B. What is the shortest distance that the spider must crawl in order to reach the fly, which remains stationary? Of course the spider never drops or uses its web, but crawls fairly.”
