Part 10

╔════════╤════════╤════════╤════════╤════════╤════════╗ ║ │ │ │ │ │ he ║ ║ tell │you know│ tells │ knows │ tells │ should ║ ║ │ │ │ │ │ not ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ you │ │ thinks │ │ is ║ ║ do │ think │ does │ of │ does │ not ║ ║ │ of │ │ │ │ good ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ │ │ │ │ ║ ║ believe│you hear│believes│ hears │believes│is false║ ║ │ │ │ │ │ ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ │ │ │ │ ║ ║ spend │you have│ spends │ has │ spends │he needs║ ║ │ │ │ │ │ ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ │ │ │ │ is ║ ║ judge │ you see│ judges │ sees │ judges │ not ║ ║ │ │ │ │ │ there ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ │ │ │ │ ║ ║ never │ all │ he who │ all he │ often │ what ║ ║ │ │ │ │ │ ║ ╚════════╧════════╧════════╧════════╧════════╧════════╝

are disentangled by reading the lowest line with each of the upper ones in turn. Thus the first maxim runs:--“Never tell all you know, he who tells all he knows often tells what he should not,” and so on throughout.

No. XCIII

The dislocated circle is solved by making a single cut through the dotted line shown in the diagram below, and join up the pieces.

The second diagram shows how this figure is arrived at, by drawing three similar and intersecting circles, which have their centres at the angles of an equilateral triangle. The piece cut off by the dotted line corresponds to the section that completes the circle below.

No. XCV

The catch-words Cleans, Scrubs, Scours, Polishes, which proclaim the merits of an “Old Dutch Cleanser” on the sails of this windmill,

can be recast so that the same letters form the singularly appropriate sentence--

“O rub on, sir, success spells cash!”

No. XCVI

The following diagram shows the solution of this new chess puzzle, and fulfils its conditions that no Queen should attack a Queen, no Rook a Rook, no Bishop a Bishop, and no Knight a Knight.

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗ ║ B ║#B#║ B ║#B#║ Q ║#R#║ B ║#B#║ ╟───┼───┼───┼───┼───┼───┼───┼───║ ║###║ N ║#R#║ N ║###║ N ║###║ Q ║ ╟───┼───┼───┼───┼───┼───┼───┼───║ ║ N ║#R#║ N ║#Q#║ N ║###║ N ║#B#║ ╟───┼───┼───┼───┼───┼───┼───┼───║ ║#Q#║ N ║###║ N#║ R#║ N ║###║ B ║ ╟───┼───┼───┼───┼───┼───┼───┼───║ ║ B ║###║ N ║###║ N ║###║ Q ║#R#║ ╟───┼───┼───┼───┼───┼───┼───┼───║ ║#B#║ Q ║###║ N ║###║ N ║#R#║ N ║ ╟───┼───┼───┼───┼───┼───┼───┼───║ ║ N ║###║ N ║#R#║ N ║#Q#║ N ║###║ ╟───┼───┼───┼───┼───┼───┼───┼───║ ║#R#║ B ║#Q#║ N ║#B#║ B ║#B#║ N ║ ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

Mr Dudeney explains that only 8 Queens or 8 Rooks can be thus placed upon the board, while the greatest number of Bishops is fourteen, and of Knights thirty-two. But as all Knights must be placed on squares of the same colour, while the Queens occupy four of each colour, and the bishops seven of each colour, it follows that only twenty-one Knights can be placed, and the arrangement shown above contains the maximum number of these pieces under the conditions.

No. CII

This diagram shows the order in which the syllables or words of the eight-line verse are to be read on the course of a Knight’s moves at chess--

╔══════╤══════╤══════╤══════╤══════╤══════╤══════╤══════╗ ║ 14 │ 55 │ 22 │ 37 │ 12 │ 51 │ 18 │ 35 ║ ║ sor │ to │ king │ good │ say │ luck │ loy │ eth ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 23 │ 38 │ 13 │ 54 │ 17 │ 36 │ 11 │ 50 ║ ║ and │ moth │ a │ soon │ dis │ our │ to │ bad ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 56 │ 15 │ 40 │ 21 │ 52 │ 9 │ 34 │ 19 ║ ║ place│ ry │church│ his │ force│ is │ hat │ al ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 39 │ 24 │ 53 │ 16 │ 33 │ 20 │ 49 │ 10 ║ ║ er │ queen│ him │ wight│ he │ to │ may │ truth║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 2 │ 57 │ 28 │ 41 │ 8 │ 61 │ 32 │ 47 ║ ║ man │ his │ and │ and │ chess│ es │knight│ op’s ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 25 │ 42 │ 1 │ 60 │ 29 │ 48 │ 7 │ 62 ║ ║ a │ sneer│ the │ and │ un │ lawn │ of │ tates║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 58 │ 3 │ 44 │ 27 │ 64 │ 5 │ 46 │ 31 ║ ║ cas │ that │ at │ less │ pawn │ no │ bish │ lant ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 44 │ 26 │ 59 │ 4 │ 45 │ 30 │ 63 │ 6 ║ ║ eth │ faith│ tles │ hath │ the │ gal │ in │ love ║ ╚══════╧══════╧══════╧══════╧══════╧══════╧══════╧══════╝

They run thus:--

The man that hath no love of chess, Is, truth to say, a sorry wight; Disloyal to his King and Queen, A faithless and ungallant Knight. He hateth our good mother Church, And sneereth at the bishop’s lawn; May bad luck force him soon to place His castles and estates in pawn!

No. CV

If such a network as is shown in the diagram below is drawn on clear tracing-paper and placed on the page of a book, it will conceal the words beneath it.

But if, while lying close to the page, it is moved quickly round and about, the letters and words will be distinctly seen, just as objects on the other side of close lattice-work become visible as we pass them quickly in a train.

No. CVI

These are the results of cutting, in the direction of the dotted lines, completely round a simple paper ring, a ring with one twist, and a ring with a double twist.

We have (1) two simple rings; (2) one large-twisted ring; (3) two rings linked together. If a third twist is given before cutting, a curious knot is formed.

CVII

The string when it has been placed in the position shown in the diagram, and two buttons larger than the hole have been fixed upon its ends can be easily removed if the narrow slip of the leather is drawn through the hole.

CVIII

The scissors, when securely fastened, as is shown in the diagram,

can be easily released by passing the loop upward through the handle, and then completely over them.

CIX

The primitive wolf-trap consisted of two circular fences higher than a wolf could scale, with a gate as was shown on the former diagram. To set the trap a lamb was placed in the safe centre, and the gate was opened as is shown below--

Attracted by the bleating of the lamb, the wolf entered the outer circle, made his way round, and presently pushed aside the gate, which closed with a spring, and shut off all escape.

No. CXII

When you have told someone to think of a number between 5 and 15, and while you are not looking, to count upwards from the lowest card step, and round in the direction indicated by the arrow, until that number is reached, and then, starting afresh with “one” on that card to count backwards round the semi-circle, this time _not including the central upright or the steps below it_, until the number thought of is again reached, you can tell at once which is the final card arrived at, for it will be as many places _upwards on the left_ as there are _step cards and their upright_.

Thus if there are 3 steps, it must always be the fourth card upwards on the left of the semi-circle. To keep up the puzzle, the number of steps should each time be changed, on the pretext that their number does not signify.

No. CXIII

This diagram shows how the apple may be divided into six pieces by two straight cuts, so that there shall be a gash in each piece.

First cut the apple through the dotted line, then place the upper piece shown at the side of the larger piece, and make the second cut straight through, where the line is drawn.

No. CXVII

The sixpence under the middle of the tumbler can be easily removed thus--

Slip larger coins under opposite edges of the tumbler to raise it slightly, and then scratch firmly on the cloth, from just outside the rim, in the direction you wish the sixpence to take. It will at once respond, and makes its own way gradually outside the circle that had surrounded it.

No. CXVIII

This is the way to draw the spiral--

Tie a piece of strong thread with a loop at its end round the upper part of the windings of a screw. Drive the screw into a board, through the middle of a card, wind the thread down the screw so that its loop just reaches the card, place a pencil in this loop, and draw the spiral freely, unwinding the thread from the grooves of the screw, and keeping it always taut. A perfect spiral is the result.

No. CXXII.

The secret of the talking head is simple indeed when you know it.

Between the front and two side legs of the table mirrors are fixed, which reflect the similar surroundings, so that the performer, kneeling behind these, and putting his head through a hole in the table top, completely conceals his body and limbs from the audience.

No. CXXV

The picture charade is completed thus--

My first may blow the candle out, My second then comes in; My whole in water moves about Without an oar or fin--

and is solved by _Puffin_.

No. CXXVI

When the walnuts and cobnuts have been arranged as is shown on the diagram--

they can be shifted so that they stand alternately, by moving two that are close together at a time, in four moves, as follows:--

(1) Move 2 and 3 beyond 8.

(2) Move 5 and 6 between 1 and 4.

(3) Move what are now 6th and 7th in the gap.

(4) Move what are now 1st and 2nd in the gap, and the alternate arrangement is complete.

No. CXXVII

The question suggested by this picture riddle is: Why is a waiter like a racehorse? And the solution is: Because he runs for cups and plates.

WORD PLAY SOLUTIONS

1

The paradox--

Two words in our region of puzzledom pose, And claim, through the passage of years, That neither the pages of Johnson disclose, While either in Murray appears.

is solved by the lines--

This key unlocks our puzzle-box, Johnson and Murray both give “neither,” While, to complete the paradox, Murray and Johnson both give “either!”

2

The verse is completed thus--

Rude Eurus murmurs, trustful buds uncurl, Bulbs push, due culture nurtures fruitful flush; Thrush builds, full sunhued plumes furze tufts unfurl, Up bursts, pure flute-fugue, Bulbul’s tuneful gush.

3

The enigma--

I see my first, I see my next, And both I sigh and see Joined to my third, which much perplexed And sorely puzzled me. ’Twas fifty, and ’twas something more, Reversed ’twas scarce an ell, With first and next it forms a whole Clear as a crystal bell. What is my whole? A splendid tear Upheld in cruel thrall; Blow soft, ye gales, bright sun, appear! And bid it gently fall.

is solved by ICICLE.

4

The charade--

Take for my first a quadruped, Transpose one for my second; My whole, a biped, quick or dead Is dainty reckoned.

is solved by _Pigeon_ (_one_ becomes _eon_).

5

Byron’s enigma--

I am not in youth, nor in manhood, nor age, But in infancy ever am known; I’m a stranger alike to the fool and the sage, And though I’m distinguish’d in history’s page I always am greatest alone.

I am not in earth, nor the sun, nor the moon; You may search all the sky--I’m not there; In the morning and evening--though not in the noon-- You may plainly perceive me--for, like a balloon, I am midway suspended in air.

Though disease may possess me, and sickness and pain, I am never in sorrow nor gloom; Though in wit and in wisdom I equally reign, I’m the heart of all sin, and have long lived in vain, Yet I ne’er shall be found in the tomb!

is solved by the letter I.

6

I am bright as a whole Till you cut off my head; Then as black as a coal, Or a mortal instead. Shaken up and recast We with science are found, Read us back from the last And we live underground.

is solved by _Star_, _tar_, _arts_, _rats_.

7

Horace Smith’s charade--

In arts and sciences behold my first the watchword still, All prejudice must bend the knee before its iron will; Yet “Onward!” is the Briton’s cry--a cry that doth express A holy work but half begun, and speaks of hopefulness. In palace or in lonely cot its name alike is heard, And in the Senate’s lordly halls sit my second and my third. Strange paradox, though for my first my total is designed, Sad marks of vice and ignorance we in that whole may find.

is solved by _Reformatory_.

8

Untouched I tell of budding growth and life; Beheaded I lead upward more or less; Again--with varied fragrance I am rife; Again--but little value I express.

is solved by _Nascent_, _ascent_, _scent_, _cent_.

9

The enigma--

Search Holy Writ and you will see A victory was won by me. Behead me, and I may be found In water or on hilly ground. Behead again, and then transpose, A snare my letters now disclose. If yet again my head you sever, No matter how sharp-set or clever, ’Tis all in vain you look about, For no one yet has found me out.

is solved by _Sling_, _ling_, _gin_, _in_.

10

The charade--

Said a lawyer aside to his friend in the court, “Now I’d bet, were we not in this place, That my first is my second a bottle of port,” Then bright with my whole shone his face.

is solved by _Pleasure_.

11

The answer to the problem--

Six horse ’buses and four motor ’buses travel each hour from Temple Bar to the Bank. The horses take 15 minutes, and the motors 10 minutes on the journey.

If I come to Temple Bar, and wish to reach the Bank as soon as possible, shall I take the first horse ’bus that turns up, or wait for a motor? It must be assumed that I can only see a ’bus as it actually passes me--

is (1) Take a motor if it comes first.

(2) Take a horse ’bus if it comes first, and comes within 2¹⁄₂ minutes of waiting.

(3) Wait for a motor if a horse ’bus comes first, but does not come till after 2¹⁄₂ minutes.

As I may have to wait 0 minutes or 15 minutes, the average time of waiting will be 7¹⁄₂ minutes.

If I wait _x_ min., and a horse ’bus arrives, I should reach the Bank in 15 mins, if I took it.

If I waited longer for a motor, which, on the average, will now turn up in 7¹⁄₂ - _x_ mins., I should reach the Bank in 17¹⁄₂ - _x_ mins.

If, therefore, _x_ is greater than 2¹⁄₂, the motor is the quicker.

12

The historical charade--

My first, if foolishly or rashly taken, May mar the future prospects of your life. My second, by her fickle lord forsaken (Sad type of many a gentle, patient wife). May toil and moil to feed his many babies, While he goes flirting off with other ladies. The thrifty monarch of a former age My whole a place in Britain’s history fills. Immortalised in Shakespeare’s magic pages As one who’d fain reform his tailor’s bills!

is solved by _Stephen_ (Step-hen).

13

My _second_, worn with pompous pride, My _first_ had dangling at his side, On chain securely hooked. My _first_ he came from o’er the sea, A bundle of conceit looked he, And he was all he looked.

She led him to the village green, Where in desponding mood was seen My _whole_, with drooping head. “Behold,” she said, “a perfect, true And striking likeness, sir, of you!” And, laughing, gaily fled.

is solved by _Donkey_.

14

Lewis Carroll turns WHEAT into BREAD, changing one letter each time, and preserving their general order throughout, thus--

WHEAT; cheat; cheap; cheep; creep; creed; breed; BREAD.

15

_Unity_ is a probable solution of the old enigma, part of which evidently refers to “a house divided against itself”--

I’m one among a numerous host, And very useful in my post; There’s not a house in all the land Without me properly can stand. Though men disputed long ago Whether I did exist or no, Once more some thousands have been slain Because they could not me attain.

16

The anagram proverbs, “These grave lips chatter no ill,” and “Elephants, all to richest giver,” are both founded on _Little pitchers have long ears_, and spelt with exactly the same letters.

17

The charade--

My first of rudeness has a sound; The rest is in a city found; My whole to win its way is bound.

is solved by _Pertinacity_.

18

The buried potentate in the lines--

My first is in cake, but not in bun; My second in light, but not in sun; My third is in night, but not in day; My fourth is in game, but not in play; My fifth is in head, but not in tail; My sixth is in wind, but not in sail; My seventh in wrong, but not in right; My eighth is in battle, but not in fight; My ninth is in sword, but not in knife, My tenth is in lady, but not in wife; My whole is a monarch at war with strife.

is _King Edward_.

19

The charade--

My first except when it is old Is never seen or heard; When it is heard the sound is tolled Out of a Jewish beard. My next was in imperial Rome, It was her power and might; Then you had but to write _you wish_, And straightway ’twas in sight.

My whole was Frank Of royal rank.

is solved by _Clovis_ (_vis_ in Latin is both _power_ and _you wish_).

20

How great in olden days my power, Oft have I saved a castle tower From war’s invading tide. Transpose me, and how great my fall! I am then the smallest of the small, That nothing can divide.

is solved by _Moat_--_atom_.

21

The puzzle--

This compact Enigma take, All apart its letters shake. Let your 6, 3, 5 be high, Like 5, 1, 2 do or die. Who 4, 6, 5, 1 enjoys More than 5, 6, 2 by boys? While 5, 3, 2, 1 are mine, May 4, 6, 3, 2 be thine. 4, 1, 5 is rich and rare, 6, 5, 1, 2 ends my prayer.

is solved by the word Enigma, from which are formed, as is indicated, the words _aim_, _men_, _game_, _man_, _mine_, _gain_, _gem_, and _amen_.

22

The enigma--

“Charles the First walked and talked, Half an hour after his head was cut off.” _Old Couplet_.

Cut off my head, I’m every inch a King, A warrior formed to deal a heavy blow. Halve what remains, my second is a thing Which nothing but my third can e’er make go, My third will vary as you take your line, This less than human, that way all divine!

is solved by _Dog_ (Og, go, dog, God).

23

The logograph--

Touch me not, I’m firm and sure; Behead, I’m used by rich and poor; In house and cottage, hut and hall, I stand of service to them all. Behead again, in time of need I tell that strength and skill succeed.

is solved by _Stable_, _table_, _able_.

24

The names that satisfy the conditions of this Single Acrostic--

What river is that, where it is found, Which Pope says does with eels abound? What Scottish lake, by high hills bounded, Is with bright birch and oak surrounded? What stream is said in Devon to run Into the sea near Otterton? What bay on Cuba’s distant coast Is justly deemed its pride and boast? The initials of these names will show A Scotch reformer, who, we know, Flourished three hundred years ago.

are _Kennet_, _Ness_, _Otter_, _Xagua_, which give _Knox_.

25

The charade--

My whole may be a mother, not a dad, So former may, or latter; But twist my tail, and I become as mad As any hatter!

Behead me, and behold I am a man, Who never was called mister; Cut off my tail, and instantly I can Become a sister!

is solved by _Madam_ (_ma_, _dam_, _mad_, _Adam_, _Ada_).

26

In addition to the singularly appropriate anagram that has been so happily attached to the name of Florence Nightingale, _Flit on, cheering angel_, the same group of letters can be recast as an aspiration for her continuance in our loving memory, so that they form the sentence, _Cling on, feeling heart_.

27

The rebus--

I am a man I rate you a beast You know me

reads thus:--I rate you lower than a man, above a beast. Know between you and me I am above the rest.

28

The charade--

My first, thou knowest, was in ancient Rome, Rome’s fate my next, and one that all may dread. Long may it be before that fate shall come And sever with my whole thy life’s last thread!

is solved by _Scissors_ (Lat. _scis_, thou knowest; _sors_, a lot).

29

The poets’ names buried in the lines--

The sun is darting rays of gold Upon the moor, enchanting spot; Whose purpled heights, by Ronald loved, Up open to his shepherd cot.

And sundry denizens of air Are flying--aye, each to his nest; And eager make at such an hour All haste to reach the mansions blest.

are Gray, Moore, Byron, Pope, Dryden, Gay, Keats and Hemans.

30

The enigma--

This multiplies me, I declare, Though it reduces one; A sty is foul if it is there, By it a deed is done.

is solved by the letter _n_ (_me_ becomes _men_; _one_, _none_; _a sty_, _nasty_.)

31

Lennie _parsed_ the words he read, Studying _Praed’s_ fable; Lennie’s mother _rasped_ the bread, Sophy _drapes_ the table. “Work while you are _spared_,” they said, “_Spread_ while you are able!”

The words in italics have the same letters.

32

The charade--

When I write with my first, in my second, My whole is quite sure to be in. Divided afresh, there is reckoned A wit, or a something that’s thin. Prefix a letter, and, as clear as paint, You see the name of an old English Saint,

is solved by _Within_ (Swithin).

33

The puzzle lines--

My first, though half a noisy bird, To a slight noise may turn; My second-twist, a stately word, And it will bend we learn.

are solved by _Pardon_ (rap-nod).

34

The enigma--

To half of ten add one Then half a score. When this is duly done Almost ten more. This can be good for none, But trial sore.

is solved by _Vixen_.

35

The buried proverb--

I fancy this Tory outcry, this weary outrageous attempt to show illegality, is as a cat chasing snow-flakes. I must be forgiven if I shun his example--is--

_If you swear you will catch no fish_.

36

Quick _veerers_ in action, now timid, now bold, Like _reevers_ of ropes far too rotten to hold, _Reserve_ a _severer reverse_ and disasters For a State that _reveres_ not incapable masters.

The six words in italics are spelt with the same letters.

37

My first is an heir, My second a snare, My whole is the offspring of fancy, Which I sent on its way Last Valentine’s Day, As a token of love to my Nancy.

is solved by _Sonnet_.

38

The lover’s vow--

My love shall never know my first, Shall never be my second; It shall my all, come best, come worst, Be surely reckoned.

is solved by _Endless_.

39

The enigma--

I am a letter, and a word, I am a tree, I am a name, Cut me in pieces with a sword, You and your act would be the same. Thrice you must leave the aspirate in doubt, And use it twice if you would find me out.

is solved by U, You, Hugh, Yew, How.

40

If you “resist disasters,” this may, by anagram, _distress a sister_.

41

The charade--