From this position, how can White force Black to checkmate him in two moves?
Very little is known about Theophilus Thompson, a chess problemist who was born a slave in Maryland in 1855. That’s a pity, because his work is often beautiful. Here’s a sample:
White to mate in two.
Another retrograde chess puzzle by Raymond Smullyan. The pawn on g3 is of unknown color. During the game no piece has moved from a light square to a dark one or vice versa. Is the unknown pawn black or white?
A conundrum by John F. Collins, from the August 1968 issue of Word Ways:
Just then, someone came up from behind and put his hands over the Hatter’s eyes.
‘Guess who!’ said the newcomer in a thin, flat voice.
The Hatter froze for a moment and declared, rather coldly, ‘I have no use for practical jokers.’
‘Ha! Neither have I,’ retorted the stranger, still keeping his hands over the Hatter’s eyes.
At that, the Hatter seemed to accept the challenge of the game and started asking a series of questions in a manner that mingled hope with care.
Question: ‘Ahem. Would you, by chance, be in a black suit this evening?’
Answer: ‘I would, but not by chance, by design.’
Q. ‘I presume you’re a member of all the posh clubs?’
A. ‘Afraid not. Never even been invited.’
Q. ‘Surely you’re better than average?’
A. ‘Yes, indeed!’
Q. ‘Not spotted, I hope?’
A. ‘Knock wood.’
A. ‘No, happy.’
Who is behind the Mad Hatter?
From a 19th-century British broadside:
The love and tenderness I have hitherto expressed to
you is false, and I now feel that my indifference towards
you increases every day, and the more I see you the more
you appear ridiculous in my eyes, and contemptible–
I feel inclined and in every respect disposed and determined
to hate you. Believe me I never had any inclination
to offer you my hand. Our last conversation I assure you
left a tedious and wretched insipidity which has not
possessed me with an exalted opinion of your character,
your inconstant temper would make me miserable,
and if ever we are united, I shall experience nothing but
the hatred of my parents, added to everlasting dis-
pleasure in living with you. I have a true heart to bestow,
but however I do not wish you for a moment to think
it is in your service, as I could not give it to one more
inconstant and capricious than yourself, and one less
capable to do honour to my choice, and my family.
You, Madam, I beg and desire will be persuaded that I
think seriously, and you will do me a great favour to
avoid me. I shall excuse you taking the trouble to
give me an answer to this, as your letters are full of
nonsense and impertinence, and have not a shadow of
wit and good sense. Adieu, and believe me truly, I am
so averse to you, that it is impossible I should ever be,
Madam, your Affectionate Servant and Lover, R.G.
“By reading every other line of the above letter the true meaning will be found out.”
Raymond Smullyan devised this puzzle in 1957 while a student at the University of Chicago. The white king has just been knocked off the board during a legal game. Where was it standing?
From Henry Dudeney:
A banker in a country town was walking down the street when he saw a five-dollar bill on the curb. He picked it up, noted the number, and went to his home for luncheon. His wife said that the butcher had sent in his bill for five dollars, and, as the only money he had was the bill he had found, he gave it to her, and she paid the butcher. The butcher paid it to a farmer in buying a calf, the farmer paid it to a merchant who in turn paid it to a laundry woman, and she, remembering that she owed the bank five dollars, went there and paid the debt.
The banker recognized the bill as the one he had found, and by that time it had paid twenty-five dollars worth of debts. On careful examination he discovered that the bill was counterfeit. What was lost in the whole transaction, and by whom?
Suppose we fill Yankee Stadium with 50,000 people and ask them to spend the day shaking hands with one another.
Prove that, at the end of the day, at least two participants will have shaken hands with the same number of people.
In Ralph Roister Doister (1553), Ralph asks a scrivener to compose a love letter to Dame Christian Custance. But when Matthew Merrygreek reads it for her, Dame Custance is shocked to hear an insulting diatribe. This is certainly not what Ralph intended, but the scrivener confirms that he copied the letter accurately, and Merrygreek read it verbatim and in full. What’s going on here?
Sweet mistress, whereas I love you nothing at all–
Regarding your substance and richness chief of all–
For your personage, beauty, demeanour and wit,
I commend me unto you never a whit.–
Sorry to hear report of your good welfare,
For (as I hear say) such your conditions are,
That ye be worthy favour of no living man,
To be abhorred of every honest man,
To be taken for a woman inclined to vice,
Nothing at all to virtue giving her due price.–
Wherefore, concerning marriage, ye are thought
Such a fine paragon, as ne’er honest man bought.–
And now by these presents I do you advertise
That I am minded to marry you in no wise.–
For your goods and substance, I can be content
To take you as ye are. If ye mind to be my wife,
Ye shall be assured, for the time of my life,
I will keep you right well from good raiment and fare–
Ye shall not be kept but in sorrow and care–
Ye shall in no wise live at your own liberty.
Do and say what ye lust, ye shall never please me;
But when ye are merry, I will be all sad;
When ye are sorry, I will be very glad;
When ye seek your heart’s ease, I will be unkind;
At no time in me shall ye much gentleness find,
But all things contrary to your will and mind,
Shall be done–otherwise I will not be behind
To speak. And as for all them that would do you wrong,
I will so help and maintain, ye shall not live long–
Nor any foolish dolt shall cumber you but I.
I, whoe’er say nay, will stick by you till I die.
Thus, good mistress Custance, the Lord you save and keep;
From me, Roister Doister, whether I wake or sleep–
Who favoureth you no less, ye may be bold,
Than this letter purporteth, which ye have unfold.
What number comes next in this series?
0, 0, 0, 0, 4, 9, 5, 1, 1, 0, 55, 55, 1, 0, 1
I set out to run a 26.5-mile marathon hoping to average less than 9 minutes per mile. As I run, my friends measure my time along various mile-long segments of the course. On each mile that they measure — indeed, on each mile that it’s possible to measure, starting anywhere along the course — my time is exactly 9 minutes. Yet my average for the whole marathon is less than 9 minutes per mile.
How is this possible?
How many pets do I have if all of them are dogs except two, all are cats except two, and all are fish except two?
By Sam Loyd. Place the black king (a) where it can be checkmated on the move, (b) where it’s in stalemate, (c) where it’s in checkmate, and (d) where the three white pieces can’t be arranged to checkmate it.
By G.A.A. Walker. White to play and checkmate all six black kings simultaneously with his second move.
A riddle by Isaac Newton:
Four people sat down at a table to play;
They play’d all that night, and some part of next day;
This one thing observ’d, that when all were seated,
Nobody play’d with them, and nobody betted;
Yet, when they got up, each was winner a guinea;
Who tells me this riddle I’m sure is no ninny.
Who are the players?
Count these leprechauns:
Now swap the two upper panels and count again:
Where has the extra one been hiding?
This puzzling verse, from a contributor named “Maude,” appeared in the Weekly Wisconsin of Sept. 29, 1888:
Perhaps the solvers are inclined to hiss,
Curling their nose up at a con like this.
Like some much abler posers I would try
A rare, uncommon puzzle to supply.
A curious acrostic here you see
Rough hewn and inartistic tho’ it be;
Still it is well to have it understood,
I could not make it plainer, if I would.
(In the second line, “con” means “contribution.”)
What are the concealed words?
One of Eduard Gufeld’s first chess coaches, A.A. Olshansky, offered him this problem:
“White to mate in half a move.”
Census Taker: How old are your three daughters?
Mrs. Smith: The product of their ages is 36, and the sum of their ages is the address on our door here.
Census Taker: (after some figuring) I’m afraid I can’t determine their ages from that …
Mrs. Smith: My eldest daughter has red hair.
Census Taker: Oh, thanks, now I know.
How old are the three girls?
From Sam Loyd:
Here is a map of the newly discovered cities and waterways on our nearest neighbor planet, Mars. Start at the city marked T, at the south pole, and see if you can spell a complete English sentence by making a tour of all the cities, visiting each city only once, and returning to the starting point.
When this puzzle originally appeared in a magazine, more than fifty thousand readers reported, ‘There is no possible way.’ Yet it is a very simple puzzle.
I’ll withhold the answer.
A puzzle from Russia:
Draw two straight lines on the clock face so that the sums of the numbers in each part are equal.