Amusements in
章节目录
共 970 题- AMUSEMENTS IN MATHEMATICS
- HENRY ERNEST DUDENEY
- PREFACE
- THE AUTHORS' CLUB _March_ 25, 1917
- CONTENTS
- AMUSEMENTS IN MATHEMATICS.
- ARITHMETICAL AND ALGEBRAICAL PROBLEMS.
- MONEY PUZZLES.
- OLIVER WENDELL HOLMES.
- 1.--A POST-OFFICE PERPLEXITY.
- 2.--YOUTHFUL PRECOCITY.
- 3.--AT A CATTLE MARKET.
- 4.--THE BEANFEAST PUZZLE.
- 5.--A QUEER COINCIDENCE.
- 6.--A CHARITABLE BEQUEST.
- 7.--THE WIDOW'S LEGACY.
- 8.--INDISCRIMINATE CHARITY.
- 9.--THE TWO AEROPLANES.
- 10.--BUYING PRESENTS.
- 11.--THE CYCLISTS' FEAST.
- 12.--A QUEER THING IN MONEY.
- 13.--A NEW MONEY PUZZLE.
- 14.--SQUARE MONEY.
- 15.--POCKET MONEY.
- 16.--THE MILLIONAIRE'S PERPLEXITY.
- 17.--THE PUZZLING MONEY-BOXES.
- 18.--THE MARKET WOMEN.
- 19.--THE NEW YEAR'S EVE SUPPERS.
- 20.--BEEF AND SAUSAGES.
- 21.--A DEAL IN APPLES.
- 22.--A DEAL IN EGGS.
- 23.--THE CHRISTMAS-BOXES.
- 24.--A SHOPPING PERPLEXITY.
- 25.--CHINESE MONEY.
- 26.--THE JUNIOR CLERK'S PUZZLE.
- 27.--GIVING CHANGE.
- 28.--DEFECTIVE OBSERVATION.
- 29.--THE BROKEN COINS.
- 30.--TWO QUESTIONS IN PROBABILITIES.
- 31.--DOMESTIC ECONOMY.
- 32.--THE EXCURSION TICKET PUZZLE.
- 33.--PUZZLE IN REVERSALS.
- 34.--THE GROCER AND DRAPER.
- 35.--JUDKINS'S CATTLE.
- 36.--BUYING APPLES.
- 37.--BUYING CHESTNUTS.
- 38.--THE BICYCLE THIEF.
- 39.--THE COSTERMONGER'S PUZZLE.
- AGE AND KINSHIP PUZZLES.
- 40.--MAMMA'S AGE.
- Tommy: "How old are you, mamma?"
- Tommy: "That's a lot, isn't it? And how old are you, papa?"
- Papa: "Just six times as old as you, my son."
- Tommy: "Shall I ever be half as old as you, papa?"
- 41.--THEIR AGES.
- 42.--THE FAMILY AGES.
- 43.--MRS. TIMPKINS'S AGE.
- Angelina: "Then how old was Mrs. Timpkins on the wedding day?"
- 44--A CENSUS PUZZLE.
- 45.--MOTHER AND DAUGHTER.
- 46.--MARY AND MARMADUKE.
- 47--ROVER'S AGE.
- 48.--CONCERNING TOMMY'S AGE.
- 49.--NEXT-DOOR NEIGHBOURS.
- 50.--THE BAG OF NUTS.
- 51.--HOW OLD WAS MARY?
- 52.--QUEER RELATIONSHIPS.
- 53.--HEARD ON THE TUBE RAILWAY.
- First Lady: "And was he related to you, dear?"
- 54.--A FAMILY PARTY.
- 55.--A MIXED PEDIGREE.
- Joseph Bloggs: "I can't follow it, my dear boy. It makes me dizzy!"
- 56.--WILSON'S POSER.
- CLOCK PUZZLES.
- 57.--WHAT WAS THE TIME?
- 58.--A TIME PUZZLE.
- 59.--A PUZZLING WATCH.
- 60.--THE WAPSHAW'S WHARF MYSTERY.
- 61.--CHANGING PLACES.
- 62.--THE CLUB CLOCK.
- 63.--THE STOP-WATCH.
- 64.--THE THREE CLOCKS.
- 65.--THE RAILWAY STATION CLOCK.
- 66.--THE VILLAGE SIMPLETON.
- LOCOMOTION AND SPEED PUZZLES.
- 67.--AVERAGE SPEED.
- 68.--THE TWO TRAINS.
- 69.--THE THREE VILLAGES.
- 70.--DRAWING HER PENSION.
- 71.--SIR EDWYN DE TUDOR.
- 72.--THE HYDROPLANE QUESTION.
- 73.--DONKEY RIDING.
- 74.--THE BASKET OF POTATOES.
- 75.--THE PASSENGER'S FARE.
- DIGITAL PUZZLES.
- 76.--THE BARREL OF BEER.
- 77.--DIGITS AND SQUARES.
- 78.--ODD AND EVEN DIGITS.
- 79.--THE LOCKERS PUZZLE.
- 80.--THE THREE GROUPS.
- 81.--THE NINE COUNTERS.
- 82.--THE TEN COUNTERS.
- 83.--DIGITAL MULTIPLICATION.
- 84.--THE PIERROT'S PUZZLE.
- 85.--THE CAB NUMBERS.
- 86.--QUEER MULTIPLICATION.
- 87.--THE NUMBER-CHECKS PUZZLE.
- 88.--DIGITAL DIVISION.
- 89.--ADDING THE DIGITS.
- 90.--THE CENTURY PUZZLE.
- 91.--MORE MIXED FRACTIONS.
- 92.--DIGITAL SQUARE NUMBERS.
- 93.--THE MYSTIC ELEVEN.
- 94.--THE DIGITAL CENTURY.
- 95.--THE FOUR SEVENS.
- 96.--THE DICE NUMBERS.
- VARIOUS ARITHMETICAL AND ALGEBRAICAL PROBLEMS.
- COWPER: _The Task._
- 97.--THE SPOT ON THE TABLE.
- 98.--ACADEMIC COURTESIES.
- 99.--THE THIRTY-THREE PEARLS.
- 100.--THE LABOURER'S PUZZLE.
- 101.--THE TRUSSES OF HAY.
- 102.--MR. GUBBINS IN A FOG.
- 103.--PAINTING THE LAMP-POSTS.
- 104.--CATCHING THE THIEF.
- 105.--THE PARISH COUNCIL ELECTION.
- 106.--THE MUDDLETOWN ELECTION.
- 107.--THE SUFFRAGISTS' MEETING.
- 108.--THE LEAP-YEAR LADIES.
- 109.--THE GREAT SCRAMBLE.
- 110.--THE ABBOT'S PUZZLE.
- 111.--REAPING THE CORN.
- 112.--A PUZZLING LEGACY.
- 113.--THE TORN NUMBER.
- 114.--CURIOUS NUMBERS.
- 115.--A PRINTER'S ERROR.
- 116.--THE CONVERTED MISER.
- 117.--A FENCE PROBLEM.
- 118.--CIRCLING THE SQUARES.
- 119.--RACKBRANE'S LITTLE LOSS.
- 120.--THE FARMER AND HIS SHEEP.
- 121.--HEADS OR TAILS.
- 122.--THE SEE-SAW PUZZLE.
- 123.--A LEGAL DIFFICULTY.
- 124.--A QUESTION OF DEFINITION.
- 125.--THE MINERS' HOLIDAY.
- 126.--SIMPLE MULTIPLICATION.
- 127.--SIMPLE DIVISION.
- 128.--A PROBLEM IN SQUARES.
- 129.--THE BATTLE OF HASTINGS.
- 130.--THE SCULPTOR'S PROBLEM.
- 131.--THE SPANISH MISER.
- 132.--THE NINE TREASURE BOXES.
- 133.--THE FIVE BRIGANDS.
- 134.--THE BANKER'S PUZZLE.
- 135.--THE STONEMASON'S PROBLEM.
- 136.--THE SULTAN'S ARMY.
- 137.--A STUDY IN THRIFT.
- 138.--THE ARTILLERYMEN'S DILEMMA.
- 139.--THE DUTCHMEN'S WIVES.
- 140.--FIND ADA'S SURNAME.
- 141.--SATURDAY MARKETING.
- GEOMETRICAL PROBLEMS.
- PLATO.
- DISSECTION PUZZLES.
- GREEK CROSS PUZZLES.
- SPENSER.
- 142.--THE SILK PATCHWORK.
- 143.--TWO CROSSES FROM ONE.
- 144.--THE CROSS AND THE TRIANGLE.
- 145.--THE FOLDED CROSS.
- VARIOUS DISSECTION PUZZLES.
- 146.--AN EASY DISSECTION PUZZLE.
- 147.--AN EASY SQUARE PUZZLE.
- 148.--THE BUN PUZZLE.
- 149.--THE CHOCOLATE SQUARES.
- 150.--DISSECTING A MITRE.
- 151.--THE JOINER'S PROBLEM.
- 152.--ANOTHER JOINER'S PROBLEM.
- 153--A CUTTING-OUT PUZZLE.
- 154.--MRS. HOBSON'S HEARTHRUG.
- 155.--THE PENTAGON AND SQUARE.
- 156.--THE DISSECTED TRIANGLE.
- 157.--THE TABLE-TOP AND STOOLS.
- 158.--THE GREAT MONAD.
- 159.--THE SQUARE OF VENEER.
- 160.--THE TWO HORSESHOES.
- 161.--THE BETSY ROSS PUZZLE.
- 162.--THE CARDBOARD CHAIN.
- 163.--THE PAPER BOX.
- 164.--THE POTATO PUZZLE.
- 165.--THE SEVEN PIGS.
- 166.--THE LANDOWNER'S FENCES.
- 167.--THE WIZARD'S CATS.
- 168.--THE CHRISTMAS PUDDING.
- 169.--A TANGRAM PARADOX.
- PATCHWORK PUZZLES.
- 170.--THE CUSHION COVERS.
- 171.--THE BANNER PUZZLE.
- 172.--MRS. SMILEY'S CHRISTMAS PRESENT.
- 173.--MRS. PERKINS'S QUILT.
- 174.--THE SQUARES OF BROCADE.
- 175--ANOTHER PATCHWORK PUZZLE.
- 176.--LINOLEUM CUTTING.
- 177.--ANOTHER LINOLEUM PUZZLE.
- VARIOUS GEOMETRICAL PUZZLES.
- 178.--THE CARDBOARD BOX.
- 179.--STEALING THE BELL-ROPES.
- 180.--THE FOUR SONS.
- 181.--THE THREE RAILWAY STATIONS.
- 182.--THE GARDEN PUZZLE.
- 183.--DRAWING A SPIRAL.
- 184.--HOW TO DRAW AN OVAL.
- 185.--ST. GEORGE'S BANNER.
- 186.--THE CLOTHES LINE PUZZLE.
- 187.--THE MILKMAID PUZZLE.
- 188.--THE BALL PROBLEM.
- 189.--THE YORKSHIRE ESTATES.
- 190.--FARMER WURZEL'S ESTATE.
- 191.--THE CRESCENT PUZZLE.
- 192.--THE PUZZLE WALL.
- 193.--THE SHEEPFOLD.
- 194.--THE GARDEN WALLS.
- 195.--LADY BELINDA'S GARDEN.
- 196.--THE TETHERED GOAT.
- 197.--THE COMPASSES PUZZLE.
- 198.--THE EIGHT STICKS.
- 199.--PAPA'S PUZZLE.
- 200.--A KITE-FLYING PUZZLE.
- 201.--HOW TO MAKE CISTERNS.
- 202.--THE CONE PUZZLE.
- 203.--CONCERNING WHEELS.
- 204.--A NEW MATCH PUZZLE.
- 205.--THE SIX SHEEP-PENS.
- POINTS AND LINES PROBLEMS.
- 206.--THE KING AND THE CASTLES.
- 207.--CHERRIES AND PLUMS.
- 208.--A PLANTATION PUZZLE.
- 209.--THE TWENTY-ONE TREES.
- 210.--THE TEN COINS.
- 211.--THE TWELVE MINCE-PIES.
- 212.--THE BURMESE PLANTATION.
- 213.--TURKS AND RUSSIANS.
- MOVING COUNTER PROBLEMS.
- 214.--THE SIX FROGS.
- 215.--THE GRASSHOPPER PUZZLE.
- 216.--THE EDUCATED FROGS.
- 217.--THE TWICKENHAM PUZZLE.
- 218.--THE VICTORIA CROSS PUZZLE.
- 219.--THE LETTER BLOCK PUZZLE.
- 220.--A LODGING-HOUSE DIFFICULTY.
- 221.--THE EIGHT ENGINES.
- 222.--A RAILWAY PUZZLE.
- 223.--A RAILWAY MUDDLE.
- 224.--THE MOTOR-GARAGE PUZZLE.
- 225.--THE TEN PRISONERS.
- 226.--ROUND THE COAST.
- 227.--CENTRAL SOLITAIRE.
- 228.--THE TEN APPLES.
- 229.--THE NINE ALMONDS.
- 230.--THE TWELVE PENNIES.
- 231.--PLATES AND COINS.
- 232.--CATCHING THE MICE.
- 233.--THE ECCENTRIC CHEESEMONGER.
- 234.--THE EXCHANGE PUZZLE.
- 235.--TORPEDO PRACTICE.
- 236.--THE HAT PUZZLE.
- 237.--BOYS AND GIRLS.
- 238.--ARRANGING THE JAMPOTS.
- UNICURSAL AND ROUTE PROBLEMS.
- 239.--A JUVENILE PUZZLE.
- 240.--THE UNION JACK.
- 241.--THE DISSECTED CIRCLE.
- 242.--THE TUBE INSPECTOR'S PUZZLE.
- 243.--VISITING THE TOWNS.
- 244.--THE FIFTEEN TURNINGS.
- 245.--THE FLY ON THE OCTAHEDRON.
- 246.--THE ICOSAHEDRON PUZZLE.
- 247.--INSPECTING A MINE.
- 248.--THE CYCLISTS' TOUR.
- 249.--THE SAILOR'S PUZZLE.
- 250.--THE GRAND TOUR.
- 251.--WATER, GAS, AND ELECTRICITY.
- 252.--A PUZZLE FOR MOTORISTS.
- 253.--A BANK HOLIDAY PUZZLE.
- 254.--THE MOTOR-CAR TOUR.
- 255.--THE LEVEL PUZZLE.
- 256.--THE DIAMOND PUZZLE.
- 257.--THE DEIFIED PUZZLE.
- 258.--THE VOTERS' PUZZLE.
- 259.--HANNAH'S PUZZLE.
- 260.--THE HONEYCOMB PUZZLE.
- 261.--THE MONK AND THE BRIDGES.
- COMBINATION AND GROUP PROBLEMS.
- 262.--THOSE FIFTEEN SHEEP.
- 263.--KING ARTHUR'S KNIGHTS.
- 264.--THE CITY LUNCHEONS.
- Then give any pairing you like for the next day, say--
- 265.--A PUZZLE FOR CARD-PLAYERS.
- 266.--A TENNIS TOURNAMENT.
- 267.--THE WRONG HATS.
- 268.--THE PEAL OF BELLS.
- 269.--THREE MEN IN A BOAT.
- 270.--THE GLASS BALLS.
- 271.--FIFTEEN LETTER PUZZLE.
- 272.--THE NINE SCHOOLBOYS.
- 273.--THE ROUND TABLE.
- Seat the same n persons at a round table on
- 274.--THE MOUSE-TRAP PUZZLE.
- 275.--THE SIXTEEN SHEEP.
- 276.--THE EIGHT VILLAS.
- 277.--COUNTER CROSSES.
- A (8) B (9)
- 278.--A DORMITORY PUZZLE.
- 279.--THE BARRELS OF BALSAM.
- 280.--BUILDING THE TETRAHEDRON.
- 281.--PAINTING A PYRAMID.
- 282.--THE ANTIQUARY'S CHAIN.
- 283.--THE FIFTEEN DOMINOES.
- 384.--THE CROSS TARGET.
- 285.--THE FOUR POSTAGE STAMPS.
- 286.--PAINTING THE DIE.
- 287.--AN ACROSTIC PUZZLE.
- CHESSBOARD PROBLEMS.
- GREENE'S _Groatsworth of Wit._
- THE CHESSBOARD.
- 288.--CHEQUERED BOARD DIVISIONS.
- 289.--LIONS AND CROWNS.
- 290.--BOARDS WITH AN ODD NUMBER OF SQUARES.
- Fig 1]
- Fig 2]
- 291.--THE GRAND LAMA'S PROBLEM.
- 292.--THE ABBOT'S WINDOW.
- 293.--THE CHINESE CHESSBOARD.
- 294.--THE CHESSBOARD SENTENCE.
- STATICAL CHESS PUZZLES.
- 295.--THE EIGHT ROOKS.
- FIG. 1.]
- FIG. 2.]
- 296.--THE FOUR LIONS.
- 297.--BISHOPS--UNGUARDED.
- 298.--BISHOPS--GUARDED.
- 299.--BISHOPS IN CONVOCATION.
- 300.--THE EIGHT QUEENS.
- 301.--THE EIGHT STARS.
- 302.--A PROBLEM IN MOSAICS.
- 303.--UNDER THE VEIL.
- 304.--BACHET'S SQUARE.
- 305.--THE THIRTY-SIX LETTER-BLOCKS.
- 306.--THE CROWDED CHESSBOARD.
- 307.--THE COLOURED COUNTERS.
- 308.--THE GENTLE ART OF STAMP-LICKING.
- 309.--THE FORTY-NINE COUNTERS.
- 310.--THE THREE SHEEP.
- 311.--THE FIVE DOGS PUZZLE.
- 312.--THE FIVE CRESCENTS OF BYZANTIUM.
- 313.--QUEENS AND BISHOP PUZZLE.
- 314.--THE SOUTHERN CROSS.
- 315.--THE HAT-PEG PUZZLE.
- 316.--THE AMAZONS.
- 317.--A PUZZLE WITH PAWNS.
- 318.--LION-HUNTING.
- 319.--THE KNIGHT-GUARDS.
- THE GUARDED CHESSBOARD.
- 1 queen guards 2² board in 1 fundamental way.
- 1 queen guards 3² board in 1 fundamental way.
- 2 queens guard 4² board in 3 fundamental ways (protected).
- 3 queens guard 4² board in 2 fundamental ways (not protected).
- 3 queens guard 5² board in 37 fundamental ways (protected).
- 3 queens guard 5² board in 2 fundamental ways (not protected).
- 3 queens guard 6² board in 1 fundamental way (protected).
- 4 queens guard 6² board in 17 fundamental ways (not protected).
- 4 queens guard 7² board in 5 fundamental ways (protected).
- 4 queens guard 7² board in 1 fundamental way (not protected).
- NON-ATTACKING CHESSBOARD ARRANGEMENTS.
- THE TWO PIECES PROBLEM.
- DYNAMICAL CHESS PUZZLES.
- 320.--THE ROOK'S TOUR.
- 321.--THE ROOK'S JOURNEY.
- 322.--THE LANGUISHING MAIDEN.
- 323.--A DUNGEON PUZZLE.
- 324.--THE LION AND THE MAN.
- 325.--AN EPISCOPAL VISITATION.
- 326.--A NEW COUNTER PUZZLE.
- 327.--A NEW BISHOP'S PUZZLE.
- 328.--THE QUEEN'S TOUR.
- 329.--THE STAR PUZZLE.
- 330.--THE YACHT RACE.
- 331.--THE SCIENTIFIC SKATER.
- 332.--THE FORTY-NINE STARS.
- 333.--THE QUEEN'S JOURNEY.
- 334.--ST. GEORGE AND THE DRAGON.
- 335.--FARMER LAWRENCE'S CORNFIELDS.
- 336.--THE GREYHOUND PUZZLE.
- 337.--THE FOUR KANGAROOS.
- 338.--THE BOARD IN COMPARTMENTS.
- 339.--THE FOUR KNIGHTS' TOURS.
- 340.--THE CUBIC KNIGHT'S TOUR.
- 341.--THE FOUR FROGS.
- 342.--THE MANDARIN'S PUZZLE.
- 343.--EXERCISE FOR PRISONERS.
- 344.--THE KENNEL PUZZLE.
- 345.--THE TWO PAWNS.
- VARIOUS CHESS PUZZLES.
- 346.--SETTING THE BOARD.
- 347.--COUNTING THE RECTANGLES.
- 348.--THE ROOKERY.
- 349.--STALEMATE.
- 350.--THE FORSAKEN KING.
- 351.--THE CRUSADER.
- 352.--IMMOVABLE PAWNS.
- 353.--THIRTY-SIX MATES.
- 354.--AN AMAZING DILEMMA.
- 355.--CHECKMATE!
- 356.--QUEER CHESS.
- 357.--ANCIENT CHINESE PUZZLE.
- 358.--THE SIX PAWNS.
- 359.--COUNTER SOLITAIRE.
- 360.--CHESSBOARD SOLITAIRE.
- 361.--THE MONSTROSITY.
- I inwardly congratulated myself that I never had.
- MEASURING, WEIGHING, AND PACKING PUZZLES.
- 362.--THE WASSAIL BOWL.
- 363.--THE DOCTOR'S QUERY.
- 364.--THE BARREL PUZZLE.
- 365.--NEW MEASURING PUZZLE.
- 366.--THE HONEST DAIRYMAN.
- 367.--WINE AND WATER.
- 368.--THE KEG OF WINE.
- 369.--MIXING THE TEA.
- 370.--A PACKING PUZZLE.
- 371.--GOLD PACKING IN RUSSIA.
- 372.--THE BARRELS OF HONEY.
- CROSSING RIVER PROBLEMS
- 373.--CROSSING THE STREAM.
- 374--CROSSING THE RIVER AXE.
- 375.--FIVE JEALOUS HUSBANDS.
- 376.--THE FOUR ELOPEMENTS.
- 377.--STEALING THE CASTLE TREASURE.
- PROBLEMS CONCERNING GAMES.
- 378.--DOMINOES IN PROGRESSION.
- 379.--THE FIVE DOMINOES.
- 380.--THE DOMINO FRAME PUZZLE.
- 381.--THE CARD FRAME PUZZLE.
- 382.--THE CROSS OF CARDS.
- 383.--THE "T" CARD PUZZLE.
- 384.--CARD TRIANGLES.
- 385.--"STRAND" PATIENCE.
- 386.--A TRICK WITH DICE.
- 387.--THE VILLAGE CRICKET MATCH.
- 388.--SLOW CRICKET.
- 389.--THE FOOTBALL PLAYERS.
- 390.--THE HORSE-RACE PUZZLE.
- 391.--THE MOTOR-CAR RACE.
- Then came this curious rejoinder:--
- PUZZLE GAMES.
- 392.--THE PEBBLE GAME.
- 393.--THE TWO ROOKS.
- 394.--PUSS IN THE CORNER.
- 395.--A WAR PUZZLE GAME.
- 396.--A MATCH MYSTERY.
- 397.--THE MONTENEGRIN DICE GAME.
- 398.--THE CIGAR PUZZLE.
- MAGIC SQUARE PROBLEMS.
- 399.--THE TROUBLESOME EIGHT.
- 400.--THE MAGIC STRIPS.
- 401.--EIGHT JOLLY GAOL BIRDS.
- 402.--NINE JOLLY GAOL BIRDS.
- 403.--THE SPANISH DUNGEON.
- 404.--THE SIBERIAN DUNGEONS.
- 405.--CARD MAGIC SQUARES.
- 406.--THE EIGHTEEN DOMINOES.
- SUBTRACTING, MULTIPLYING, AND DIVIDING MAGICS.
- 407.--TWO NEW MAGIC SQUARES.
- 408.--MAGIC SQUARES OF TWO DEGREES.
- MAGIC SQUARES OF PRIMES.
- 409.--THE BASKETS OF PLUMS.
- 410.--THE MANDARIN'S "T" PUZZLE.
- 411.--A MAGIC SQUARE OF COMPOSITES.
- 412.--THE MAGIC KNIGHT'S TOUR.
- MAZES AND HOW TO THREAD THEM.
- THE PARADOX PARTY.
- 413.--A CHESSBOARD FALLACY.
- UNCLASSIFIED PROBLEMS.
- 414.--WHO WAS FIRST?
- 415.--A WONDERFUL VILLAGE.
- 416.--A CALENDAR PUZZLE.
- 417.--THE TIRING IRONS.
- 418.--SUCH A GETTING UPSTAIRS.
- 419.--THE FIVE PENNIES.
- 420.--THE INDUSTRIOUS BOOKWORM.
- 421.--A CHAIN PUZZLE.
- 422.--THE SABBATH PUZZLE.
- 423.--THE RUBY BROOCH.
- 424.--THE DOVETAILED BLOCK.
- 425.--JACK AND THE BEANSTALK.
- 426.--THE HYMN-BOARD POSER.
- 427.--PHEASANT-SHOOTING.
- 428.--THE GARDENER AND THE COOK.
- 429.--PLACING HALFPENNIES.
- 430.--FIND THE MAN'S WIFE.
- SOLUTIONS.
- 1.--A POST-OFFICE PERPLEXITY.
- 2.--YOUTHFUL PRECOCITY.
- 3.--AT A CATTLE MARKET.
- 4.--THE BEANFEAST PUZZLE.
- 5.--A QUEER COINCIDENCE.
- 6.--A CHARITABLE BEQUEST.
- 7.--THE WIDOW'S LEGACY.
- 8.--INDISCRIMINATE CHARITY
- 9.--THE TWO AEROPLANES.
- 10.--BUYING PRESENTS.
- 11.--THE CYCLISTS' FEAST.
- 12.--A QUEER THING IN MONEY.
- 13.--A NEW MONEY PUZZLE.
- 14.--SQUARE MONEY.
- 15.--POCKET MONEY.
- 16.--THE MILLIONAIRE'S PERPLEXITY.
- 17.--THE PUZZLING MONEY BOXES.
- 18.--THE MARKET WOMEN.
- 19.--THE NEW YEAR'S EVE SUPPERS.
- 20.--BEEF AND SAUSAGES.
- 21.--A DEAL IN APPLES.
- 22.--A DEAL IN EGGS.
- 23.--THE CHRISTMAS-BOXES.
- 24.--A SHOPPING PERPLEXITY.
- 25.--CHINESE MONEY.
- 26.--THE JUNIOR CLERKS' PUZZLE.
- 27.--GIVING CHANGE.
- 28.--DEFECTIVE OBSERVATION.
- 29.--THE BROKEN COINS.
- 30.--TWO QUESTIONS IN PROBABILITIES.
- 31.--DOMESTIC ECONOMY.
- 32.--THE EXCURSION TICKET PUZZLE.
- If sixpences are also used there are
- 33.--A PUZZLE IN REVERSALS.
- 34.--THE GROCER AND DRAPER.
- 35.--JUDKINS'S CATTLE.
- 36.--BUYING APPLES.
- 37.--BUYING CHESTNUTS.
- 38.--THE BICYCLE THIEF.
- 39.--THE COSTERMONGER'S PUZZLE.
- 40.--MAMMA'S AGE.
- 41.--THEIR AGES.
- 42.--THE FAMILY AGES.
- 43.--MRS. TIMPKINS'S AGE.
- 44.--A CENSUS PUZZLE.
- 45.--MOTHER AND DAUGHTER.
- 46.--MARY AND MARMADUKE.
- 47.--ROVER'S AGE.
- 48.--CONCERNING TOMMY'S AGE.
- 49.--NEXT-DOOR NEIGHBOURS.
- 50.--THE BAG OF NUTS.
- 51.--HOW OLD WAS MARY?
- 52.--QUEER RELATIONSHIPS.
- 53.--HEARD ON THE TUBE RAILWAY.
- 54.--A FAMILY PARTY.
- 55.--A MIXED PEDIGREE.
- 56.--WILSON'S POSER.
- 57.--WHAT WAS THE TIME?
- 58.--A TIME PUZZLE.
- 59.--A PUZZLING WATCH.
- 60.--THE WAPSHAW'S WHARF MYSTERY.
- 61.--CHANGING PLACES.
- 62.--THE CLUB CLOCK.
- 63.--THE STOP-WATCH.
- 64.--THE THREE CLOCKS.
- 65.--THE RAILWAY STATION CLOCK.
- 66.--THE VILLAGE SIMPLETON.
- 67.--AVERAGE SPEED.
- 68.--THE TWO TRAINS.
- 69.--THE THREE VILLAGES.
- 70.--DRAWING HER PENSION.
- 71.--SIR EDWYN DE TUDOR.
- 72.--THE HYDROPLANE QUESTION.
- 73.--DONKEY RIDING.
- 74.--THE BASKET OF POTATOES.
- 75.--THE PASSENGER'S FARE.
- 76.--THE BARREL OF BEER.
- 77.--DIGITS AND SQUARES.
- 78.--ODD AND EVEN DIGITS.
- 79.--THE LOCKERS PUZZLE.
- 80.--THE THREE GROUPS.
- There are nine solutions to this puzzle, as follows, and no more:--
- 81.--THE NINE COUNTERS.
- 82.--THE TEN COUNTERS.
- 83.--DIGITAL MULTIPLICATION.
- 84.--THE PIERROT'S PUZZLE.
- There are just six different solutions to this puzzle, as follows:--
- 85.--THE CAB NUMBERS.
- 86.--QUEER MULTIPLICATION.
- 87.--THE NUMBER CHECKS PUZZLE.
- 88.--DIGITAL DIVISION.
- 89.--ADDING THE DIGITS.
- 90.--THE CENTURY PUZZLE.
- 91.--MORE MIXED FRACTIONS.
- 92.--DIGITAL SQUARE NUMBERS.
- 93.--THE MYSTIC ELEVEN.
- 94.--THE DIGITAL CENTURY.
- 95.--THE FOUR SEVENS.
- 96.--THE DICE NUMBERS.
- 97.--THE SPOT ON THE TABLE.
- 98.--ACADEMIC COURTESIES.
- 99.--THE THIRTY-THREE PEARLS.
- 100.--THE LABOURER'S PUZZLE.
- 101.--THE TRUSSES OF HAY.
- 102.--MR. GUBBINS IN A FOG.
- 103.--PAINTING THE LAMP-POSTS.
- 104.--CATCHING THE THIEF.
- 105.--THE PARISH COUNCIL ELECTION,
- 106.--THE MUDDLETOWN ELECTION.
- 107.--THE SUFFRAGISTS' MEETING.
- 108.--THE LEAP-YEAR LADIES.
- 109.--THE GREAT SCRAMBLE.
- 110.--THE ABBOT'S PUZZLE.
- 111.--REAPING THE CORN.
- 112.--A PUZZLING LEGACY.
- 113.--THE TORN NUMBER.
- 114.--CURIOUS NUMBERS.
- 115.--A PRINTER'S ERROR.
- 116.--THE CONVERTED MISER.
- 117.--A FENCE PROBLEM.
- 118.--CIRCLING THE SQUARES.
- 119.--RACKBRANE'S LITTLE LOSS.
- 120.--THE FARMER AND HIS SHEEP.
- 121.--HEADS OR TAILS.
- 122.--THE SEE-SAW PUZZLE.
- 123.--A LEGAL DIFFICULTY.
- 124.--A QUESTION OF DEFINITION.
- 125.--THE MINERS' HOLIDAY.
- 126.--SIMPLE MULTIPLICATION.
- 127.--SIMPLE DIVISION.
- 128.--A PROBLEM IN SQUARES.
- 129.--THE BATTLE OF HASTINGS.
- 130.--THE SCULPTOR'S PROBLEM.
- 131.--THE SPANISH MISER.
- 132.--THE NINE TREASURE BOXES.
- Here is the answer that fulfils the conditions:--
- 133.--THE FIVE BRIGANDS.
- 134.--THE BANKER'S PUZZLE.
- 135.--THE STONEMASON'S PROBLEM.
- 136.--THE SULTAN'S ARMY.
- 137.--A STUDY IN THRIFT.
- The successive pairs of numbers are found in this way:--
- 138.--THE ARTILLERYMEN'S DILEMMA.
- 139.--THE DUTCHMEN'S WIVES.
- 140.--FIND ADA'S SURNAME.
- 141.--SATURDAY MARKETING.
- 142.--THE SILK PATCHWORK.
- 143.--TWO CROSSES FROM ONE.
- 144.--THE CROSS AND THE TRIANGLE.
- 145.--THE FOLDED CROSS.
- 146.--AN EASY DISSECTION PUZZLE.
- 147.--AN EASY SQUARE PUZZLE.
- 148.--THE BUN PUZZLE.
- 149.--THE CHOCOLATE SQUARES.
- 150.--DISSECTING A MITRE.
- 151.--THE JOINER'S PROBLEM.
- 152.--ANOTHER JOINER'S PROBLEM.
- 153.--A CUTTING-OUT PUZZLE.
- 154.--MRS. HOBSON'S HEARTHRUG.
- 155.--THE PENTAGON AND SQUARE.
- 156.--THE DISSECTED TRIANGLE.
- 157.--THE TABLE-TOP AND STOOLS.
- 158.--THE GREAT MONAD.
- 159.--THE SQUARE OF VENEER.
- 160.--THE TWO HORSESHOES.
- 161.--THE BETSY ROSS PUZZLE.
- 162.--THE CARDBOARD CHAIN.
- 164.--THE POTATO PUZZLE.
- 165.--THE SEVEN PIGS.
- 166.--THE LANDOWNER'S FENCES.
- Four fences only are necessary, as follows:--
- 167.--THE WIZARD'S CATS.
- 168.--THE CHRISTMAS PUDDING.
- 169.--A TANGRAM PARADOX.
- 170.--THE CUSHION COVERS.
- 171.--THE BANNER PUZZLE.
- 172.--MRS. SMILEY'S CHRISTMAS PRESENT.
- 173.--MRS. PERKINS'S QUILT.
- 174.--THE SQUARES OF BROCADE.
- 175.--ANOTHER PATCHWORK PUZZLE.
- 176.--LINOLEUM CUTTING.
- 177.--ANOTHER LINOLEUM PUZZLE.
- 178.--THE CARDBOARD BOX.
- 179.--STEALING THE BELL-ROPES.
- In the case of our puzzle this will be
- 180-- THE FOUR SONS.
- 181.--THE THREE RAILWAY STATIONS.
- 182.--THE GARDEN PUZZLE.
- 183.--DRAWING A SPIRAL.
- 184.--HOW TO DRAW AN OVAL.
- 185.--ST. GEORGE'S BANNER.
- 186.--THE CLOTHES LINE PUZZLE.
- 187.--THE MILKMAID PUZZLE.
- 188.--THE BALL PROBLEM.
- 189.--THE YORKSHIRE ESTATES.
- 190.--FARMER WURZEL'S ESTATE.
- 191.--THE CRESCENT PUZZLE.
- 192.--THE PUZZLE WALL.
- 193.--THE SHEEP-FOLD.
- 194.--THE GARDEN WALLS.
- 195.--LADY BELINDA'S GARDEN.
- 196.--THE TETHERED GOAT.
- 197.--THE COMPASSES PUZZLE.
- I am aware that this is not the simplest possible solution.
- 198.--THE EIGHT STICKS.
- 199.--PAPA'S PUZZLE.
- 200.--A KITE-FLYING PUZZLE.
- 201.--HOW TO MAKE CISTERNS.
- 202.--THE CONE PUZZLE.
- 203.--CONCERNING WHEELS.
- 204.--A NEW MATCH PUZZLE.
- 205.--THE SIX SHEEP-PENS.
- 206.--THE KING AND THE CASTLES.
- 207.--CHERRIES AND PLUMS.
- 208.--A PLANTATION PUZZLE.
- 209.--THE TWENTY-ONE TREES.
- 210.--THE TEN COINS.
- 211.--THE TWELVE MINCE-PIES.
- 212.--THE BURMESE PLANTATION.
- 213.--TURKS AND RUSSIANS.
- 214.--THE SIX FROGS.
- 215.--THE GRASSHOPPER PUZZLE.
- 216.--THE EDUCATED FROGS.
- 217.--THE TWICKENHAM PUZZLE.
- 218.--THE VICTORIA CROSS PUZZLE.
- 219.--THE LETTER BLOCK PUZZLE.
- 220.--A LODGING-HOUSE DIFFICULTY.
- 221.--THE EIGHT ENGINES.
- 222.--A RAILWAY PUZZLE.
- 223.--A RAILWAY MUDDLE.
- 224.--THE MOTOR-GARAGE PUZZLE.
- 225.--THE TEN PRISONERS.
- 226.--ROUND THE COAST.
- 227.--CENTRAL SOLITAIRE.
- I do not think the number of moves can be reduced.
- 228.--THE TEN APPLES.
- 229.--THE NINE ALMONDS.
- 230.--THE TWELVE PENNIES.
- 231.--PLATES AND COINS.
- 232.--CATCHING THE MICE.
- 233.--THE ECCENTRIC CHEESEMONGER.
- 234.--THE EXCHANGE PUZZLE.
- 235.--TORPEDO PRACTICE.
- 236.--THE HAT PUZZLE.
- 237.--BOYS AND GIRLS.
- 238.--ARRANGING THE JAM POTS.
- 239.--A JUVENILE PUZZLE.
- 240.--THE UNION JACK.
- 241.--THE DISSECTED CIRCLE.
- 242.--THE TUBE INSPECTOR'S PUZZLE.
- 243.--VISITING THE TOWNS.
- 244.--THE FIFTEEN TURNINGS.
- 245.--THE FLY ON THE OCTAHEDRON.
- 246.--THE ICOSAHEDRON PUZZLE.
- 247.--INSPECTING A MINE.
- 248.--THE CYCLIST'S TOUR.
- 249.--THE SAILOR'S PUZZLE.
- 250.--THE GRAND TOUR.
- 251.--WATER, GAS, AND ELECTRICITY.
- 252.--A PUZZLE FOR MOTORISTS.
- 253.--A BANK HOLIDAY PUZZLE.
- 254.-- THE MOTOR-CAR TOUR.
- 255.--THE LEVEL PUZZLE.
- 256.--THE DIAMOND PUZZLE.
- 257.--THE DEIFIED PUZZLE.
- 258.-- THE VOTERS' PUZZLE.
- 259.-- HANNAH'S PUZZLE.
- 260.--THE HONEYCOMB PUZZLE.
- 261.-- THE MONK AND THE BRIDGES.
- 262.--THOSE FIFTEEN SHEEP.
- 263.--KING ARTHUR'S KNIGHTS.
- 264.--THE CITY LUNCHEONS.
- 265.--A PUZZLE FOR CARD-PLAYERS.
- 266.--A TENNIS TOURNAMENT.
- 267.--THE WRONG HATS.
- 268.--THE PEAL OF BELLS.
- The bells should be rung as follows:--
- 269.--THREE MEN IN A BOAT.
- 270.--THE GLASS BALLS.
- 271.--FIFTEEN LETTER PUZZLE.
- The following will be found to comply with the conditions of grouping:--
- 272.--THE NINE SCHOOLBOYS.
- The boys can walk out as follows:--
- 273.--THE ROUND TABLE.
- A solution for the case of 4 persons on 3 occasions is as follows:--
- The case of 5 persons on 6 occasions may be solved as follows:--
- The case for 6 persons on 10 occasions is solved thus:--
- A solution for 8 persons on 21 occasions is as follows:--
- Here is my solution for 9 persons on 28 occasions:--
- The case of 10 persons on 36 occasions is solved as follows:--
- My solution for 11 persons on 45 occasions is as follows:--
- The case of 12 persons on 55 occasions is solved thus:--
- 274.--THE MOUSE-TRAP PUZZLE.
- 275.--THE SIXTEEN SHEEP.
- 276.--THE EIGHT VILLAS.
- 277.--COUNTER CROSSES.
- 278.--A DORMITORY PUZZLE.
- 279.--THE BARRELS OF BALSAM.
- 280.--BUILDING THE TETRAHEDRON.
- 281.--PAINTING A PYRAMID.
- 282.--THE ANTIQUARY'S CHAIN.
- 283.--THE FIFTEEN DOMINOES.
- 284.--THE CROSS TARGET.
- 285.--THE FOUR POSTAGE STAMPS.
- 286.--PAINTING THE DIE.
- 287.--AN ACROSTIC PUZZLE.
- 288.--CHEQUERED BOARD DIVISIONS.
- Here is a table of the results:--
- 289.--LIONS AND CROWNS.
- 290.--BOARDS WITH AN ODD NUMBER OF SQUARES.
- 291.--THE GRAND LAMA'S PROBLEM.
- 292.--THE ABBOT'S WINDOW.
- 293.--THE CHINESE CHESSBOARD.
- 294.--THE CHESSBOARD SENTENCE.
- 295.--THE EIGHT ROOKS.
- 296.--THE FOUR LIONS.
- 297.--BISHOPS--UNGUARDED.
- 298.--BISHOPS--GUARDED.
- 299.--BISHOPS IN CONVOCATION.
- 300.--THE EIGHT QUEENS.
- 301.--THE EIGHT STARS.
- 302.--A PROBLEM IN MOSAICS.
- 303.--UNDER THE VEIL.
- 304.--BACHET'S SQUARE.
- 305.--THE THIRTY-SIX LETTER BLOCKS.
- 306.--THE CROWDED CHESSBOARD.
- 307.--THE COLOURED COUNTERS.
- The counters may be arranged in this order:--
- 308.--THE GENTLE ART OF STAMP-LICKING.
- 309.--THE FORTY-NINE COUNTERS.
- The counters may be arranged in this order:--
- 310.--THE THREE SHEEP.
- 311.--THE FIVE DOGS PUZZLE.
- 312.--THE FIVE CRESCENTS OF BYZANTIUM.
- 313.--QUEENS AND BISHOP PUZZLE.
- 314.--THE SOUTHERN CROSS.
- 315.--THE HAT-PEG PUZZLE.
- 316.--THE AMAZONS.
- 317.--A PUZZLE WITH PAWNS.
- 318.--LION-HUNTING.
- 319.--THE KNIGHT-GUARDS.
- 320.--THE ROOK'S TOUR.
- 321.--THE ROOK'S JOURNEY.
- 322.--THE LANGUISHING MAIDEN.
- 323.--A DUNGEON PUZZLE.
- 324.--THE LION AND THE MAN.
- 325.--AN EPISCOPAL VISITATION.
- 326.--A NEW COUNTER PUZZLE.
- 327.--A NEW BISHOP'S PUZZLE.
- 328.--THE QUEEN'S TOUR.
- 329.--THE STAR PUZZLE.
- 330.--THE YACHT RACE.
- 331.--THE SCIENTIFIC SKATER.
- Here is one way of performing the feat:--
- 332.--THE FORTY-NINE STARS.
- 333.--THE QUEEN'S JOURNEY.
- 334.--ST. GEORGE AND THE DRAGON.
- 335.--FARMER LAWRENCE'S CORNFIELDS.
- 336.--THE GREYHOUND PUZZLE.
- 337.--THE FOUR KANGAROOS.
- 338.--THE BOARD IN COMPARTMENTS.
- 339.--THE FOUR KNIGHTS' TOURS.
- 340.--THE CUBIC KNIGHT'S TOUR.
- 341.--THE FOUR FROGS.
- 342.--THE MANDARIN'S PUZZLE.
- 343.--EXERCISE FOR PRISONERS.
- 344.--THE KENNEL PUZZLE.
- 345.--THE TWO PAWNS.
- 346.--SETTING THE BOARD.
- 347.--COUNTING THE RECTANGLES.
- 348.--THE ROOKERY.
- 349.--STALEMATE.
- 350.--THE FORSAKEN KING.
- Play as follows:--
- 351.--THE CRUSADER.
- 352.--IMMOVABLE PAWNS.
- 353.--THIRTY-SIX MATES.
- 354.--AN AMAZING DILEMMA.
- 355.--CHECKMATE!
- 356.--QUEER CHESS.
- I believe the position was first published by the late S. Loyd.
- 357.--ANCIENT CHINESE PUZZLE.
- Play as follows:--
- 358.--THE SIX PAWNS.
- 359.--COUNTER SOLITAIRE.
- 360.--CHESSBOARD SOLITAIRE.
- 361.--THE MONSTROSITY.
- 362.--THE WASSAIL BOWL.
- 363.--THE DOCTOR'S QUERY.
- 364.--THE BARREL PUZZLE.
- 365.--NEW MEASURING PUZZLE.
- 366.--THE HONEST DAIRYMAN.
- 367.--WINE AND WATER.
- 368.--THE KEG OF WINE.
- 369.--MIXING THE TEA.
- 370.--A PACKING PUZZLE.
- 371.--GOLD PACKING IN RUSSIA.
- 372.--THE BARRELS OF HONEY.
- 373.--CROSSING THE STREAM.
- 374.--CROSSING THE RIVER AXE.
- Here is the solution:--
- 375.--FIVE JEALOUS HUSBANDS.
- 376.--THE FOUR ELOPEMENTS.
- 377.--STEALING THE CASTLE TREASURE.
- Here is the best answer, in eleven manipulations:--
- 378.--DOMINOES IN PROGRESSION.
- 379.--THE FIVE DOMINOES.
- I will leave my readers to find the remaining nine for themselves.
- 380.--THE DOMINO FRAME PUZZLE.
- 381.--THE CARD FRAME PUZZLE.
- 382.--THE CROSS OF CARDS.
- 383.--THE "T" CARD PUZZLE.
- 384.--CARD TRIANGLES.
- 385.--"STRAND" PATIENCE.
- 386.--A TRICK WITH DICE.
- 387.--THE VILLAGE CRICKET MATCH.
- 388.--SLOW CRICKET.
- The captain must have been "not out" and scored 21. Thus:--
- 389.--THE FOOTBALL PLAYERS.
- 390.--THE HORSE-RACE PUZZLE.
- 391.--THE MOTOR-CAR RACE.
- 392.--THE PEBBLE GAME.
- 393.--THE TWO ROOKS.
- THE TWO ROOKS.
- 394.--PUSS IN THE CORNER.
- 395.--A WAR PUZZLE GAME.
- 396.--A MATCH MYSTERY.
- 397.--THE MONTENEGRIN DICE GAME.
- 398.--THE CIGAR PUZZLE.
- 399.--THE TROUBLESOME EIGHT.
- 400.--THE MAGIC STRIPS.
- 401.--EIGHT JOLLY GAOL-BIRDS.
- 402.--NINE JOLLY GAOL BIRDS.
- 403.--THE SPANISH DUNGEON.
- 404.--THE SIBERIAN DUNGEONS.
- 405.--CARD MAGIC SQUARES.
- Arrange the cards as follows for the three new squares:--
- 406.--THE EIGHTEEN DOMINOES.
- 407.--TWO NEW MAGIC SQUARES.
- Here are two solutions that fulfil the conditions:--
- 408.--MAGIC SQUARES OF TWO DEGREES.
- 409.--THE BASKETS OF PLUMS.
- 410.--THE MANDARIN'S "T" PUZZLE.
- 411.--A MAGIC SQUARE OF COMPOSITES.
- 412.--THE MAGIC KNIGHT'S TOUR.
- 413.--A CHESSBOARD FALLACY.
- 414.--WHO WAS FIRST?
- 415.--A WONDERFUL VILLAGE.
- 416.--A CALENDAR PUZZLE.
- 417.--THE TIRING-IRONS.
- 418.--SUCH A GETTING UPSTAIRS.
- 419.--THE FIVE PENNIES.
- 420.--THE INDUSTRIOUS BOOKWORM.
- 421.--A CHAIN PUZZLE.
- 422.--THE SABBATH PUZZLE.
- 423.--THE RUBY BROOCH.
- 424.--THE DOVETAILED BLOCK.
- 425.--JACK AND THE BEANSTALK.
- 426.--THE HYMN-BOARD POSER.
- 427.--PHEASANT-SHOOTING.
- 428.--THE GARDENER AND THE COOK.
- 429.--PLACING HALFPENNIES.
- 430.--FIND THE MAN'S WIFE.
- INDEX.
- Charitable Bequest, A, 2, 148
- THE END.
- End of Project Gutenberg's Amusements in Mathematics, by Henry Ernest Dudeney