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 SpadesHeartsClubsDiamonds

Playing Cards

The game isn't about holding good cards,
but playing poor hands very well.
 Michon
 
 Bachet Square

On this site, see also:

 Gerard Michon's Coat-of-Arms

Collectors, Enthusiasts, Museums :

International Playing-Card Society(open questions)  |  Æclectic Tarot
DXPO Playing Cards  by Miriam van Houten  & Joop Muller  (Netherlands)
The World of Playing Cards  (UK)  |  Alta Carta:Artistic Tarots
Cards without Traditional Suits  by Andy Pollett.  |  Joker Collectors
Collectors Playing Cards  by Peter Way  (UK).
 
Musée français de la carte à jouer (French Museum of Playing Cards)
16, rue Auguste Gervais   /   92130  Issy-les-Moulineaux  (France)
 
Elliott Avedon Virtual Museum of Games  (University of Waterloo).

Card Masters, Manufacturers, Publishers, Creators :

Dal Negro
Piatnik, Vienna.
Cartamundi
France-Cartes :
Naipes Heraclio Fournier.
Modiano,  Trieste,  Italy (1884).
USPC :
[Bulldog Squeezers, dated 1877, formed thedead man's hand on 1876-08-02 ]
Copag,  São Paulo, Brazil (1908).
Gemaco Playing Card Company, Blue Springs,  Missouri  (1965).
U.S. Games Systems, Inc. (1968, Stamford, CT)
Kuo Kau Paper Products Company.
Desjgn("J Design")  by Jason Hawley (Paisley,Culture,Victorian).
Heritage Playing Card Company, UK. Founded in 1992.
Dan and Dave. Started in 2001 by Dan & Dave Buck  (b. 1984).
Theory 11 &Ellusionist:  Creators of special decks, manufactured by USPC.
House of Playing Cards  (HOPC). Home of the Elites  and Mechanic Deck  (2012).
Denexa, Norman, Oklahoma. Founded by Scott Nazelrod  in 2012.
Expert Playing Card Co. NY. Founded in 2013 by Bill Kalush  (CARC).

Custom Playing Cards :

Playing Card Printers (UK) | Ivory Graphics (UK, 1994)
TMcards.com | CPC | Your Playing Cards | MPC
Bicycle&Zazzle | The Game Crafter

Retailers :

Le Comptoir des Jeux, Chantilly (France)  |  Cartes-Production (France)
Géoludie (France)  |  Playing Cards Only (UK)

Videos :

How Bicycle® Playing Cards are Made
How It's Made:  Cartamundi Playing Cards
10 Favorite Decks (for magic)  |  Bicycle® Prestige
Damage test of acetate cards:  Modianovs. Dal Negro.
Top 10 clichés  about playing cards.
Jack of Clubs
 
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Playing Cards


(2013-06-26)  

The first playing cards appeared in China, when paper started to be used in sheetsand books, rather than rolls.

Marco PoloThe legend that European explorers of the 13th and 14th century  (starting withMarco Polo) brought playing cards from the Orient to Venice is dubious at best. So are the reports that Bertrand du Guesclin (1320-1380) discovered them in Italy "in 1350", during the Hundred Years' War.

In 1371, the Catalan word naip  was used todescribe a playing card  (the Spanish spelling is naipe). According to Michael Dummett(1925-2011)  that's the earliest extant European reference to playing-cards.

Cards became really popular in Europe around 1377, at which time they attracted the attention of religious and civil authorities (until then,dice  were the sole gaming enemy). In 1377, a gaming statute was passed in Florence to regulate the"recently introduced" game of naibbe.

Playing cards were first letter-pressed by Thomas de la Rue (1793-1866)  in 1832,imitating wood-block style. The British company he founded in 1821 (DeLaRue) is now the World's largest producer of security papers. Its  playing-card operations were sold to John Waddington in 1969.


(2013-06-10)  
Rounded corners where introduced in 1858, by  Baptiste-Paul Grimaud.

A rounding radius  R  at the four corners reduces thecard's surface area by  (4-) R2 with respect to the unrounded rectangular area.

Most commonly used cornering radii  [ R ]
HandtoolSizeR
/ mm
Clippings
/ cm2
Nipper5/64''1.9843750.034
2 mm2
Nipper1/8''3.1750.087
3 mm30.077
Nipper
Corner Rounder
5 mm50.215
7/32''5.556250.265
Industrial5/16''7.93750.541
8 mm80.549
Nipper
Corner Rounder
3/8''9.5250.779
10 mm100.858

The most commonly encountered commercial sizes of playing cards aretabulated below, together with rarely-used standard  "B" sizes (ISO 216).

Also included, for good measure, are the series of Archimedes and Fibonacci  sizes, which are only of theoretical interest at this time (with the possible exception of the  62.5 by 100 mm  format,which is very close to the 62 by 100 size of some novelty decks by Cartamundi).

Cards of more than  105  square centimeters are considered oversized. Conversely,  the surface area of miniature  cards is less than  35 cm2.

, Regularand  Card Sizes  (rounded corners of radius R)
DesignationAspect
Ratio
Specifications
W L   [R]
Width
/ mm
Length
/ mm
Area
/ cm2
Placemat29/2010'' 14.5''254368.3 
Hexadecapoker7/510'' 14''254355.6 
Hexadecuple2B4250353.6 
Hexadecabridge14/99'' 14''228.6355.6 
Mega[1 |2]2A4210.2297.3 
Giant7/5 200280 
Octuplelong10/77'' 10''177.8254 
ISO2B5176.8250 
short19/147'' 9.5''177.8241.3 
 9/77'' 9''177.8228.6 
Tetrapoker (jumbo)7/55'' 7''127177.8 
Quadruple2B6125176.8 
Tetrafibonaccimetric116.5188.5 
Tetrabridge14/94.5'' 7''114.3177.8 
BigTarot26/153.75'' 6.5''95.25165.1 
 3/24'' 6''101.6152.4 
Big Fibonacci144/89metric, R=8 mm89144127.61
Doublelong10/73.5'' 5''88.9127 
ISO2B788.4125 
short19/143.5'' 4.75''88.9120.65 
Fibonacci
Tarot
13/8metric, R=8 mm80130103.45
8/53.125'' 5''79.375127 
21/13metric, R=8 mm7812697.73
5/33'' 5''76.2127 
Tarot19/112.75'' 4.75''69.85120.65 
12/7metric, R=8 mm7012083.45
72116.583.33
Large17/123'' 4.25''76.2107.95 
Archimedes Tarot/2metric67.8106.5 
French Tarot23/12 59113 
Fibonacci
Trumps
34/21metric, R=5 mm6310264.06
8/562.510062.29
6198.759.99
Bolzano,Naples16/92.25'' 4''57.15101.6 
Spanish14/9 6195 
Poker7/52.5'' 3.5''62.988.355.54
Brazilian (Copag)11/82.5'' 3.4375''63.587.312555.44
ISO2B862.588.455.24
Fibonaccimetric58.2594.25 
Archimedes/258.7692.3 
Skat17/11 5991 
WSOP30/19 5790 
Bridge14/92.25'' 3.5''57.1588.9 
Small Fibonacci89/55metric5589 
ItalianNorthern2Width = 2''50.8101.6 
Bologna11/650.893.13 
French14/9Width = 2pouces54.1484.2245.59
11/8mrtrc55.184.046.28
ItalianSardinia7/4Width = 2''50.888.9 
Sicily13/850.882.55 
Milan21/10Length = 3.5''42.3388.9 
Little Archimedes/2metric45.271 
Little Fibonacci144/8944.572 
Patience3/21.75'' 2.625''44.4566.675 
metric4466 
Halflong10/71.75'' 2.5''    44.4563.5 
ISO2B944.262.5 
short9/71.75'' 2.25''    44.4557.15 
Slice / Skinny metric3088 
Mini3/2metric4060 
1.5'' 2.25''38.157.15 
14/9metric3656 
4/31.5'' 2''38.150.8 
QuarterPoker7/51.25'' 1.75''31.7544.45 
ISO2B1031.2544.2 
Bridge14/91.125'' 1.75''28.57544.45 

When specifications  are stated, the above dimensions are nominal  or ideal. Otherwise, they're simply measurements  from a commercial deck.


(2013-06-16)  
Two layers of paper  (with dark glue)  or 100% plastic.

For maximum opacity playing cards are made from two layers of paper,bonded with black glue.  After printing, a plastic finish isapplied which determines the feel  of the cards (and establishes the reputation of a brand).

The latest trend is to eliminate paper entirely and produce "100% plastic" cardsmade from eitherPVC orcellulose acetate (the later is heralded as feeling more like paper). The better brands apply the same plastic finishto their plastic cards as they do to their paper ones.

Before industrialization, French cards were obtained by using traditionalglue  (flour and amidon cooked together)  to bind three layers of paper:

  • Papier cartier :  For the backsides, free from identifying defects.
  • Main-brune :  Low-grade paper, providing thickness and opacity.
  • Papier au pot :  Supplied by the taxing authorities, for card fronts.


(2013-05-21)  
The modern designations came from ancient ones, tied to social classes.

The modern suit symbols  (spades, hearts, diamonds, clubs) in two colors  (black and red)  were introduced in France around 1480. They are still known as French suits. They were competing with the Latin suits (swords, cups, coins and staves)  and the German suits (leaves, hearts, bells and acorns)  of which the Swiss suits were a major variant  (shields, roses, bells and acorns).

Despite the prevailing political animosity between France and England at the time,the French suits eventually spread all over Europe, because theygreatly simplified the printing of playing cards (the Latin and German suits were printed in full colors).

SpadesSpades
Pique
HeartsHearts
Cœur
DiamondsDiamonds
Carreau
ClubsClubs
Trèfle
Swords
Épées
 
 
German leaves
Cups, chalices
Coupes
 
Swiss 6-lobe roses
Coins, money
Deniers, pièces,
soleils

 
disks, pentacles
German bells
Wands
Bâtons,
massues, gourdins

 
staves, rods
German acorns
Nobles
Second estate
Clergy
First estate
Merchants, craftsmen
Urban third estate
Farmers
Rural third estate
Fire  (or Air)WaterEarthAir  (or Fire)

In recent years, the traditional German suits were mostly favored by East-Germans.  Shortly after reunification  (in the 1990's) a compromise was adopted for the official decks of Skat tournaments, which now have the French-design suits of West-Germany withthe traditional East-German colors (the spades are green and the diamonds yellow,as reminders of the leaves  and bells, respectively).

The game of Tarot  features trump cards thatdo not belong to any suit.

Trump cards make trick-taking card games more interestingbut dedicated ones increase the size of a deck (cost considerations were not insignificant in the old days). Some of the best card games (bridge, belote, skat)  are based on the idea that one of the fourregular suits could be used as trumps after a preliminary negotiationstage  (bidding,enchères)  oncethe players have received their cards. This idea was introduced in the gameOmbre


(2013-05-26)  
If  there are only 3 face cards per suit,  court cards may  include aces too.

Originally, the highest-ranking cards in a suit were the four face cards:  king, queen, knight and jack.  Aces were thelowest-ranking members of a suit.  This remains true in tarot decks.

At least one modern tarot deck  (The Alchemical Tarot by  Robert M. Place)  has two female figures in the court: King, Queen, Knight and Lady.

For tarot packs, the locutions court cards  and face cards  are synonymous.  In decks containing onlythree face cards per suit, however, the aces are normally considered torank above the king and they belong to the court. Thus,there are always four court cards.

In most decks with three face-cards, the missing face card is usually one ofthe two knaves  (the remaining one is dubbed jack  in modern English).

German Decks :

Traditional German deckshave no queens;  the three figures are male:

A crown identifies the king  (K for König ).  Next is the cavalier, riding a horse, called Ober  (O). Last is the so-called Unter  (U or B for Bube ).

Modern German decks follow the international tradition by retaining the king  (K) the queen  (D for Dame)  and only one knave,called Bube  or Bauer (B) sometimes also known as Junge  or Wenzel.

The first card ladies were French :

The earliest extant record offemale card figuresdates back to  1392, when the painter Jacquemin Gringnonneur  delivered to Charles VIthree decks he had been commissioned for. In those decks, the cavaliers were replaced by queens. This was before the invention of the tarot deck, which has both  cavaliers and queens. The royal treasurer, Jacques Poupart, paidGringnonneur 56sols parisi for his work. This was apparently all it took to set the French pattern of 3 face cards whichis dominant today.

 52-card deck
(2013-05-27)  
The Mameluke deck (c. 1370)
begat the modern English
packs for Bridge and Poker.

The oldest full 52-card deck was identified in November1983, by an Amsterdam dealer who got it in 1978 for less than  $3000. Those large oval cards were manufactured in Flanders between 1470 and 1479 (probably in Lille, modern-day France)  from paper made before 1450. The deck has three figures  (Kings, Queens, Knaves) all hand-painted in three-quarter pofiles.  The foursuitshave a hunting  theme:

  • Red hunting .
  • Blue hound .
  • Blue game .
  • Red dog .

Sotheby's  of London  sold this full deck for $143,000, on1983-12-06, to TheMetropolitan Museum of Art.  It's part of their Cloisters Collection.


(2013-05-19)  
Four suits of 14 cards each,  21 numbered trumps and the fool.

In each suit, the four court carts  (or figures ) are:  King, queen, cavalier (or knight) and jack (or page).

Some Famous Tarot Decks
WhatWhoWhereWhen
Visconti-SforzaBonifacio Bembo c. 1425
Tarot de Charles VI  (unrelated to Charles VI)Bologna 
Sola-BuscaNicola di maestro AntonioN. Italy1491
Tarot de Marseille
(original)
Jean NobletParisc. 1650
Jacques ViévilleParisc. 1650
Jean DodalLyon1701
Tarot de BruxellesNicolas BodetBrussels 
Tarot de MarseilleNicolas ConverMarseilles1760
Tarot d'EpinalFrançois GeorginEpinal1830
Rider-WaitePamela Colman Smith 1909

 Come back later, we're still working on this one...


(2013-05-22)     (c. 1440)
What occultists call the 21 numbered trumps and the fool.

The trumps in the tarot deck  are a Europeaninvention inspired by the works of the Italian poet Petrarch (1304-1374) who started writing I Trionfi  after 1352 (his manuscript was printed posthumouly in Rome, in 1471). Petrarch's triumphs  (that's where the word trumps  come from) include the triumph of Chastity over Love and Love over Mankind. Eternity triumphs over Time, Time over Fame, Fame over Death, Death over Life. The charade was pseudo-knowledge that was probably commonplace when thetarot was designed.  It served as little more than a graphic mnemonic. With the passage of time, the legend faded away but the cards remained,acquiring an aura of mystery which was never meant...

#FrenchEnglish#
21MondeWorldXXI
20JugementAngel, JudgementXX
19SoleilSunXIX
18LuneMoonXVIII
17EtoileStarXVII
16Maison-Dieu, FoudreTowerXVI
15DiableDevilXV
14TempéranceTemperanceXIV
13(La Mort)DeathXIII
12PenduHanged manXII
11ForceStrengthXI
10Roue de la FortuneWheel of FortuneX
9ErmiteHermitIX
8JusticeJusticeVIII
7ChariotChariotVII
6L'AmoureuxLoversVI
5Pape, BacchusHierophant, PopeV
4EmpereurEmperorIV
3ImpératriceEmpressIII
2PapesseHigh PriestessII
1BateleurMagician, JugglerI
0Mat, Fol, Fou, ExcuseFool, Jester, Joker

The other 56 cards  (Minor Arcana) are divided into  4 suits (swords,cups,coins andstaves) each with  4 court cardsking,queen,knight andknave.


(2013-05-30)  
Joan of Arc  lives on, thinly disguised, in French decks of cards.
Un étendard blanc semé de lys, avec un monde entre deux anges.

In Europe then, news spread apace and unlettered folk got to know,
in some strange way, the doings of camps and courts.

Virginia Frohlick about Joan of Arc 

It's been exactly 582 years since the infamous day (May 30, 1431) when a teenager was burned at the stake for witchcraft, becauseshe heard voices and answered their call.  She had led armies into battle on horseback andsecured the throne of the French king, at  the beginning of the end of the Hundred Years' War (1337-1453).  She was Joan of Arc, she is Queen of Spades.

Playing cards appeared in Francearound 1377,a few months before Charles VI,le fol,would begin his 42-year reign at age 11. The court cards would receive their formal namestoward the end of the reign of his disinherited son,Charles VII(1403-1461)  who was mocked as le petit roi de Bourges until his grand coronation in Reims  (1429) which was brought about by the fabulous efforts of Joan of Arc,La Hire,Xaintrailles et al.

La Hire

Jeanne d'Arc  (Joan of Arc)  lives on as the queen of spades, dame de pique  or,  appropriately, Lady of Swords.  The printed name is Pallas (Athena, the celibate goddess of war)  a phonetic anagram for pucelle (the virgin)  Jeanne's popular nickname (used in her ennoblement decree of 1429).

The names still printed on modern French 32-card decks form a riddle which would have been easy to decode in 15th-century France. The playing cards were the tabloids of that era and the names of thecelebrities were thinly disguised with anagrams (Argine = Regina = the reigning queen)  or phonetic inversions (Pallas = Pucelle = Joan of Arc, dame d'épée).

Naming three of the kings after legendary rulers certainlyflattered the fourth, the reigning king Charles VII,  king of cups. The popular interpretation of Charles  as Charlemagne  (742-814)  probably came only much later (that made the 4 card kings belong to the Nine Worthies).

The four ladies are directly connected to Charles VII. They are respectively his mother, his wife, his official mistress and finally,last but not least, the aforementioned lady of swords  (Pallas = Pucelle = Virgin) who helped secure his throne: Joan of Arc, burned at the stake at the age of 19  (1431)  after a year of incarceration and a riggedtrial. She was innocented posthumously in 1450 and fully rehabilitated by the Churchin 1455.

 

 Signature of Joan of Arc I had a banner of white bocassin, fringed with silk.
The field was sprinkled with lilies,
with an orb painted between two angels.
On the side was written, I believe, "JHESUS MARIA".

Jeanne d'Arc, at her trial  (1431)

The French Court Cards
 RoisDamesValets
SpadesDavid
2nd King of Israel
(c. 1040-970 BC)
Pallas
"Pucelle"Joan of Arc
(1412-1431)
Hogier
"Hoshe'a"Joshua
(c. 1500-1390 BC)
HeartsCharles
Charles VII
(1403-1461)
Judith("de Bavière")
Isabeau de Bavière
(1371-1435)
LaHire
Etienne de Vignolles
(1390-1443)
DiamondsCésar
Julius Caesar
(100-44 BC)
Rachel
"Ragnelle"Agnès Sorel
(1422-1450)
Hector
de Galard de Brassac
(1415-1475)
ClubsAlexandre
Alexander the Great
(356-323 BC)
Argine
"Regina"Marie of Anjou
(1404-1463)
Lancelot
Judas Maccabeus
(c. 200-160 BC)

 Bec de corbin  Hector de Galard belonged to the court of Charles VII and was the founding captain, in 1474,of the Grande Garde, an elite military unit of 100 knightsformed by Louis XI  (son, foe and successor of Charles VII) for the protection of the king  (nicknamed gentilshommes à bec-corbin,  because of their weapon of choice).

Galard's identification with the jack of diamonds isn't nearly as firmly established asthe identification with the jack of hearts of La Hire (Etienne de Vignolles)  the most prominent military leader in the campaigns of Joan of Arc, who died pauvre et glorieux  at Montauban on January 12, 1443.

Actually, Hector  was almost certainly intended to be Hector of Troy,  one of the so-calledNine Worthies (les neufs preux)  who had been singled outbyJacques de Longuyon(1312) as personifying the medieval ideals of chivalry. That popular list goes a long way towardexplaining how the male names of the court cards were chosen, about 150 years later.

The Nine Worthies  (les neufs preux)  after Jacques de Longuyon (1312)
3  Pagans3  Jews3  Christians
Hector of TroyJoshua,son ofNunKing Arthur
Alexander the GreatKing DavidCharlemagne
Julius CaesarJudas MaccabeusGodefroy de Bouillon

Hogier, the jack of spades, was thus meant to be Hoshe'a, son of Nun  (whom Moses called Joshua, cf.Numbers 13:16). The identification toOgier the Daneisn't supported by anything, except similar spelling !Jack of Clubs

The Last Court Card :  Valet de Trèfle

The jack of clubs is now dubbed Lancelot.

It was originally dedicated to Judas Maccabeus,another one of thenine worthies,but the name of Judas was supposedly omitted because of the embarrassing homonymy with Judas Iscariot, the betrayor of Christ  (in French, "Judas" is acommon synonym of "traitor").

French card masters would sign their names on the jack of clubsor put their marks on the shield carried by that jack. In the 1600s, one of them didn't print anything distinctiveon his jack of clubs. Strangely, he became known by the standardinscription he put on the jack of diamonds : Ector de Trois.

When card makers started to sign one of the aces instead,it was natural to give a new name to the jack of clubs. An obvious choice was the most famous of all knights: The fictitious Lancelot du Lac, chief knight of King Arthur's Round Table, lover of QueenGuinevere (Guenièvre) and seeker of theHoly Grail. This very popular character was first introduced by Chrétien de Troyes in the romance of "Lancelot,le chevalier à la charrette"  (c. 1172).


(2013-05-29)  
The 25th card in Euchre /Jucker was called best bower.

Although traditional card games are played without jokers,virtually no modern 52-card deck is sold without at least one extra joker  card (usually two, sometimes four).

Jokers are primarily used for casual poker games, which are alwaysplayed with a 52-card deck.

In the old game of Jucker  from Alsace, the two most powerful cards are two jacks of the same color (called Juker,  regionally, or Bauer in German).  When that game was exported to the United States,its name was distorted to Euchre  and Bauer  became Bower  (both spellingsapproximate the German pronunciations).  The game was originallyplayed with a deck of 24 cards  (it still is). An American innovation was to introduce one extra card, called best bower  that would take either bower... This became known as the Jucker card. The joker  was born.

The first joker was made for the London Club Park  deck,published in 1857 by Samuel Hart  (New-York).

The joker  can also be construed as a descendant of the ancient fool  from the tarot deck (which plays a key rôle in the tarot game, as one of only three oudlers ). In most games the joker  plays the same rôle as that original fool (a wild card  that can take the place of any other card, as the need arises).

The first French joker :

Jokers were only officially allowed into French decks in 1902, at which time the illustratorHenri Bellery-Desfontaines(1867-1909)  designedthe first French jokerfor a deck published by Fossorier Amar et Cie, supposedly as a portrait of the  "royal dwarf" Haincelin Coq (also spelled Hainselin). Every detail in the picture (below) seems wrong : Coq's costume was mostly green with some red elements. The bonnet à grelots ( fool's cap  with bells) wasn't worn by court jesters before the end of the 15-th century. Finally, the cunning look seems to betray an intelligence which, alas,Haincelin Coq didn't possess at all...

Haincelin Coq 


An international network of joker collectors exists, with cross-linkedamateur websites displaying private collections and/or offering duplicatesfor trade. Dozens of such sites are online, as of June 2013, including:


(2013-06-05)  
The mimicks of Aluette  are tied to Latin suits and traditional designs. Two of Cups

Nowadays, packs of Mexican origin are commonly sold as Spanish decks of  "50 cards" (48 cards plus two modernjokers, calledcomodines) in the proper Latin suits  (called espadas, copas, oros, bastos) but without the popular symbolism associated to the game of Aluette, which seems to have been limited to the west coast of France (mostly, from cardmakers located in the regional capital ofNantes).

 Come back later, we're still working on this one...



(2013-06-02)  
Ombre and the introduction of bidding  for trumps.

 Come back later, we're still working on this one...


(2013-06-10)  

 Come back later, we're still working on this one...


(2013-05-27)  
The French deck is used for many popular games.

 Come back later, we're still working on this one...


(2013-06-18)  
Created in Altenburg  around 1815, it's now part of German culture.

To this day, part of the economy and cultural identity of Altenburg revolvesaround Skat.  The city is known far and wide as Skat's town ( Skatstadt ).

Three players play the game, using a32-card deck.

The dealer deals  "3-skat-4-3"  clockwise after shuffling the deck. That's to say, he first gives 3 cards to the player to his left, 3 cards to the thirdplayer, 3 cards to himself and discards 2 cards  (the Skat ) in the middle of the table.  He then serves a round of 4 cards and a final round of 3cards, so everyone has 10 cards at the beginning of the bidding.

The 2 cards of the Skat will belong to the winner of the auction, the declarer, who will play 10 tricks  against the other two, aiming either to win most trick pointsor none at all  (the latter applies when a Null  game is declared).

The player who wins the auction by biding the highest number choosesthe type of play and the trump color, if any (the 4 jacks are the highest trumps, except in a null  game). He then plays against the other two for a score computed according to his 12  cards  (10 original cards plus theSkat ).

18,20,22,23,24,27,30,33,35,36,40,44,45,46,48,50,54,55,59,60,63,66,70,72...
Jacks and trumps heldChosen Trump Suit
ClubsSpadesHeartsDiamondsA10KQ987GrandClubsSpadesHeartsDiamonds
21110430241211109
YesNo         mit 124824222018
NoYes         ohne 1
YesYesNo        mit 237236333027
NoNoYes        ohne 2
YesYesYesNo       mit 349648444036
NoNoNoYes       ohne 3
YesYesYesYesNo      mit 4 5 12060555045
NoNoNoNoYes      ohne 4
YesYesYesYesYesNo     mit 5 6 14472666054
NoNoNoNoNoYes     ohne 5
YesYesYesYesYesYesNo    mit 6716884777063
NoNoNoNoNoNoYes    ohne 6
 
YesYesYesYesYesYesYesYesYesYesNomit 101126413212111099
NoNoNoNoNoNoNoNoNoNoYesohne 10
YesYesYesYesYesYesYesYesYesYesYesmit 1112288144132120108
NoNoNoNoNoNoNoNoNoNoNoohne 11
 13312156143130117
14336168154140126
15360180165150135
16384192176160144
Null = 23   Null Hand = 35   Null Ouvert = 46   Null Hand Ouvert = 59
 

The base value for a Grand  game (where only jacks are trumps) was 20, instead of 24, until 1932. Some older amateurs still use the original value.

The largest possible score would be 384  for  Grand (24) mit 11 (12) Hand, Schwarz, Ouvert (+4).

 Come back later, we're still working on this one...


(2013-06-02)  
Euchre, Sixty-Six and Pinochle.

 Come back later, we're still working on this one...


(2013-05-25)  
Deck of 44 cards.  Eleven families  (father, mother, son, daughter).

The game was launched by Jaques & Sons  at the Great Exhibition  of 1851. The 4 cards in every family are labeled after the pattern:

  • Mr. Pots, the Painter.
  • Mrs. Pots, the Painter's Wife.
  • Master Pots, the Painter's Son.
  • Miss Pots, the Painter's Daughter.

Mr. Block, the barberThe 11 original families were:

  • Block, the Barber
  • Bones, the Butcher
  • Bun, the Baker
  • Bung, the Brewer
  • Chip, the Carpenter
  • Dip, the Dyer
  • Dose, the Doctor
  • Grits, the Grocer
  • Mug, the Milkman
  • Pots, the Painter
  • Soot, the Sweep

Besides the funny names tied to the professions, the initial appeal of the game was due in no small part to the44 caricatures byJohn Tenniel (1820-1914)the chief cartoonist forPunch. The deck underwent many minor revisions, starting with the replacement of "Mug, the Milkman" by"Tape, the Taylor" (before 1880).

The game can also be played with a regular deck. There are two main variants; the first one is normally playedwith a full deck  (52 cards, 13 families)  and the secondone with lesser decks, including the 44 cards of traditionalspecialized Happy Families  decks:

  • Go Fish!   Hunting for a whole family: "Do you have any kings?"
  • Quartets   Hunting for a card: "Do you have the king of clubs?"

Merchandising vs. Education :

Modern merchandisers often shortchange unsuspecting parents by peddling smallerdecks of only eight families  (32 cards) based on the latest craze. On outter packages, there's no hint of the swindle, which is madeeven easier by the lack of proper labelling on traditional 44-card decks.

Another unfortunate trend is the substitution of codes  (A1, A2, A3, A3, B1, B2, etc.) for the words that formerly identified each card. The lack of formal sentencesduring the game is a definite loss for younger players...

Conversely, although they tend to be pricey,I recommend the luxury educational decks of 48 cards  (12 families)  thatforgo codes and patterns entirely:  Each oversized card (70 mm by 120 mm)  illustrates a topic and quotesthe titles of the three cards it forms a "family" with.


(2013-05-25)  
Jeu des sept familles.  French deck of 42 cards; 7 families of 6 cards.
 Potard, le pharmacien

The 42-card deck is composed of seven numbered families of six people. Various names have been assigned to the 6 members of each family:

  • 1876: Père,Mère,Fils,Fille,
    Valet,Cuisinière.
  • 1890: Aïeul,Aïeule,
    Père,Mère,Fils,Fille.
  • Traditional: Grand-père,Grand-mère,
    Père,Mère,Fils,Fille.
  • Modern: Papy,Mamie,
    Papa,Maman,Grand frère,Petite sœur.

 In 1875, a few months before he put together the first jeu des sept familles the famous caricaturist André Gill painteda famous sign, of a rabbit  (lapin)  jumping outof a saucepan, for a cabaret in Montmartre which became known as Le lapin à Gill  (Gill's Rabbit)  then Le lapin agile (The Nimble Rabbit).  It was notoriously patronized bystruggling artists and writers before they achieved great fame,including Courteline, Max Jacob, Marcel Proust,Apollinaire, Modigliani, Renoir, Utrillo and Picasso. The cabaret was bought by Aristide Bruant in 1903 and remains a quaint Parisian attraction.


(2013-05-24)  
106 cards of 4 types  (18 attaques, 38 parades, 4 bottes, 46 étapes).

Over 10 million of these automobile-themed games have been sold.

Attaques
Attack
Parades
Parade
Bottes
Safety
3Panne d'essence6Essence1Citerne
3Crevaison6Roue de secours1Increvable
3Accident6Reparation1As du volant
4Limite de vitesse6Fin de limite1Véhicule
prioritaire
5Feu rouge14Feu vert
 Etapes 
Progress
4200
12100
1075
1050
1025

 Logo


Under the pen name of Edmond Dujardin,  the deaf FrenchmanArthur Dujardin (19??-1964) was a publisher of driving-school material. In 1949, he received a Concours Lépine silver medal  for designing a board game around an automobile theme,called L'Autoroute.

Building on that first success, Dujardin went on to design the megaseller Mille Bornes in 1954, inspired by theTouring  game ofWilliam Janson Roche  (1906) with the key addition of safety cards and coup-fourré  play. 200

The standard graphics of the 1000 bornes  cards date back to 1960and are due to the graphist Joseph Le Callennec  (1905-1988). They appear on a bilingual edition introduced internationally in 1962. About  200 000 Mille Bornes  decks are sold every year.

 A player is only allowed to play the highest distance denomination (200 km)  once per game.  On the corresponding card  (above right) Le Callennec  drew a swallow which is discreetly reminiscentof the famous logo he had revamped for La Pie qui Chante candies  ("Singing Magpie" at left).

 Patent GB-963821-A
300 points200 points150 points100 points50 points    


Brian Kieffer (2011-06-17
What's the probability of having no valid "set" among  9  random cards?

The modern  SET®  playing cards form an 81-carddeck with a regular ternary structure, used to play a totally new species of games. It's also a good pretext to practice some challenging combinatorial calculus.

Each card is uniquely identified by the four following 3-valued attributes. The 81-card  deck covers all possibilities once and only once (81 = 3).

  • Number :  one, two or three (identical) symbols.
  • Shape :  squiggles, diamonds or ovals.
  • Color :  red, green or purple.
  • Shading :  solid, striped or open  (a.k.a. "empty").

By definition, a valid set  consists of 3 cards which,for every attribute, have either identical values or pairwise distinct ones. To put it in a nutshell, three cards do not  form a "set"  when  "two are of one kind and the third isn't".

 Example of a valid SET of 3 cards.

For any pair of cards, there's one and only one third card that will form a valid set (since only one value of each attribute isn't ruled out).  [  ]

Thus, a valid set  is determined by two of its cardsin three different ways.  So, there are C(81,2)/3 = 1080  distinct valid sets.

Unless  n = 3,  we can't use this approach to analyze thegeneralized game that uses a deck of  nk  cards bearing k  attributes having  n  possible values.  Instead, we count ordered  SETs  directly (there are  n!  of those per SET):

Every ordered  SET  corresponds uniquely to  k sequences chosen among  (n! + n)  possibilities (namely,  n!  permutations and  n  constant sequences,assuming  n > 1) except that a choice of a constant sequence for all attributes at once is disallowed  (that woukd yield  n  identical cards). All told, the number of  n-SETs  [ consistingof  n  cards bearing separate attributes that are either all alikeor all different ]  is thus equal to:

[ (n! + n) k nk ]/ n!

The probability that a hand of  n  cards forms a  SET  isequal to that integer divided by the total number of possible hands,namely  C(nk, n).

Probability  Pn,k (m) of at least one SET among  m  cards :

  •   Pn,k (m)   is zero 0   when  m < n.
  •   Pn,k (n)  = [ (n! + n) k nk ]  / [ n! C(nk, n) ]  is tabulated next.
  •   Pn,k (m)   is challenging to computewhen  m > n.  See below.

Probability that  n  cards with  k  (n-valued) attributes form a  SET
Pn,k (n)n = 2n = 3n = 4n = 5
k = 11111
k = 211 / 78 / 45513 / 5313
k = 311 / 2519 / 1323721 / 302621
k = 411 / 7980 / 546227313 / 120320613
k = 511 / 2412801 / 177310271521 / 5071628121
k = 611 / 7276536 / 38121588057813 / 1906250203113
k11 / (3k-2)(7k-1) /(4k-1)(4k-2)(4k-3)(5k+1) /(5k-2)(5k-3)(5k-4)

The classical  SET®  game  (n=3, k=4) corresponds to the highlighted entry in the above table. The simple formula at the bottom of the column  n=3 confirms our previous remark that, with 3-valued attributes,any pair of cards is turned into a SET by one and only one of the remaining cards.

To design actual cards with  k = 5 or 6  attributes with n = 3, we could add one or two independent features at the bordersof standard SET cards: Borders encoding 5th and 6th attribute

  • Edge :  dark, light or white.
  • Corner :  angle, square or round.

However, that would probably make the game too difficult to play because of thelarge size of the decks  (243 or 729 cards)  and the great numberof cards that will typically be drawn before a SET is found... On the other hand, k=2  (9 cards) is too simple to be interesting. Only k=4 and k=3 are actually played (the latter mostly by beginners who use one third of a standard SET deck, likethe 27 red cards or the 27 solid ones).

With n = 3, two distinct SETs can have at most one card in common. So, if a hand of  m = 4  cards contains a SET, it contains onlyone and is uniquely determined by the juxtaposition of a SET and one other card (if k > 1):

P3,k (4)   =  [ (3! + 3) k 3k ]C(3k-3, 1)  /  [ 3! C(3k, 4) ]  =   4 / (3k-2)

4 cards yield  C(4,3) = 4 mutually exclusive  opportunities to form a SET.

With  m = 5 cards, the similar enumeration of choosing a SET and a pair would count twicethe hands consisting of two SETs sharing one card. Every such combination is obtained in  4  distinct ways by choosing one SET,one of the  3  cards in that set, one random card and the final card thatmakes a SET with the chosen card and the random one.  By inclusion-exclusion:

P3,k (5)   =  {C(3k-3, 2) 3(3k-3)/4 } [(3! + 3) k 3k ]/ [ 3! C(3k,5)]

With  m = 6 cards, let's first count the number of configurations thatconsist of two disjoint SETs.  This is equal to the number of pairs ofSETs minus the previously enumerated number of such pairs that share one card,namely:

{ ½ [(9k-3k)/6 - 1 ]  3(3k-3)/4 } (9k-3k)/ 6  =  (3k-7)(3k-3)(9k-3k)/ 72

Now, a hand of 6 cards may also consist of 3 SETs that share a card pairwise. Each such hand can be obtained in 3 different ways by choosing a SET, two cards in that SETand one random card outside the SET  (the two remaining cards arethose which form a SET with that card and either of the two previous choices). Alternatively, as every pair of the 3 shared cards determines one unshared card,there are as many of those special 6-card hands as there are combinations of 3 cardsthat do not form a SET, namely:

1/3 C(3,2)(3k-3) (9k-3k)/6  =  C(3k, 3)(9k-3k)/6  =  (3k-3)(9k-3k)/6
 4 SETs with 6 different cards are not possible.

So, byinclusion-exclusion, we obtain the following expressionfor P3,k (6):

{C(3k-3, 3) 3(3k-3)(3k-5)/4 (3k-7)(3k-3)/12+ (3k-3)}(9k-3k)/ [ 3! C(3k,6)]

Probability that  m  cards with  k  (3-valued) attributes contain a  SET
P3,k (m)m = 3m = 4m = 5m = 6
k = 11
k = 21 / 74 / 711
k = 31 / 254 / 2543 / 115806 / 1265
k = 41 / 794 / 79755 / 608327395 / 115577
k = 51 / 2414 / 2412375 / 5759979570 / 979183
k = 61 / 7274 / 7271447 / 105415521287 / 19080115
k
1
Vinculum
3k-2
4
Vinculum
3k-2
5 (2 . 3k-11)
Vinculum
(3k-2)(3k-4)
20 (9k - 14 . 3k + 52)
Vinculum
(3k-2)(3k-4)(3k-5)

With only two attributes (a deck of 9 cards)  the above shows that there's always a SETin a hand of 5 cards. That result belongs toRamsey theory.

Least number (m) of k-attribute cards among which a SET is unavoidable
k123456
m35102143 ?86 ?


(2015-02-24)  
Based on the new deck order  from the manufacturer.

Fresh from the factory, SET games come in two packs of cards ordered in a specificway.  The following numbering reflects that order.

  • Shape weight:   SQUIGGLE = 0,   DIAMOND = 3,   OVAL = 6.
  • Color weight:   ,  ,   .
  • Shade weight:   SOLID = 0,   STRIPED = 27,   OPEN = 54.

To obtain the new deck number  of a card,add the weights of its various attributes to the number of objects on it. This gives you a number from 1 to 81 (if you'd rather number such things from 0 to 80, eithersubtract 1 from that total or assign a score from 0 to 2 to the number of objects).

 Example of a valid SET of 3 cards.
Card 26
(2+6+18+0)
Card 56
(2+0+0+54)
Card 41
(2+3+9+27)

A new deck comes in two separate packs:  A small pack with cards 1 to 27 in that order (namely, single solid purple squiggle face up on top and triple solid red oval at thebottom).The rest of them  (cards 28 to 81)  are in the second pack (single striped purple squiggle face up on top, and triple open red oval at the bottom).

The packaging might gives some weak clue that the manufacturer originally intendedthe large pack to be "first"  (they put it in the left compartment ofthe box when the publicity cards are right-side up). However, far more importantly, their advice is to playonly with solid cards when a reduced deck of 27 is desired (for geginners and/or young children).  That's why it's best to assign numbers 1-27to the "solid" pack  (this gives compatible numbers to the reduced pack and thefull deck).


(2015-03-01)  
Five symbols:   Round (1),  cross (2),  waves (3),  square (4),  star (5).

The five cards pictured above were designed in the early 1930s by thepsychologist Karl Zener  (1903-1964)  to helpin parapsychological investigations by J.B. Rhine  of extrasensory perception (clairvoyance or telepathy). Only the black-and-white version was ever widely used.

A standard Zener deck consists of 25 black-and-white Zener cards (5 copies of each).  The person to be tested is supposed toguess the cards face-down  (clairvoyance)  or while someone else looksat them  (telepathy). Any statistically-significant deviation from a success rate of  20% would be meaningful (counting either the overall hit rate or the rate for each type of card called,  sincethe rate for each type of card presented  is very easily biased by personal preferences). No such thing has ever been observed undercontrolled conditions where all forms of cheating and/or sensory leakage  are ruled out. (E.g.,  card counting,stacked deck, marked cards,reflections off the glasses/eyes of the examiner, etc.)

If anything, the use of such cards has now become a joke. Marked decks of Zener cards may well be more common than honest ones!

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