by David Singmaster
Last revised on 4 Aug 1996.
This includes relevant history texts and all items in the Sections:
Abbreviations; Common References; Some Other Recurring References; 2; 3.A and many items in 3.B of my Sources in Recreational Mathematics. Names of problems are generally those used in my Sources, or close approximations thereto.
Note that ‘first’ means ‘first known (to me)’.
In Greek mythology, Palamedes was the inventor of dice.
-2700? | Carved Stone Balls show all regular polyhedra and cubo-octahedron. |
-2300? | Geometric progressions on tablets from Nippur. |
-1800? | Old Babylonian tablet – first Sliding Spear. |
-1700? | Phoenician Puzzle Jugs in Cyprus. |
-1650 | Rhind Papyrus – our main source for Egyptian Fractions, a kind of St. Ives Problem. |
-1400 | Early Morris boards at Kurna, Egypt. |
-1200? | Sophocles claimed dice were invented by Palamedes during the siege of Troy. Herodotus attributed them to the Lydians in the reign of Atys. |
-650 | Shu Ching – first? mention of the Lo Shu (River Plan) which may refer to the magic square of order 3. |
c-500 | Confucius (= K’ung Fu-Tzu): Analects XVII,xxii – perhaps the earliest reference to the game of go. |
-500 | Lun Yu – mentions the River Map. |
c-450 | Pingala uses Fibonacci numbers in the study of prosody. (Date uncertain – cf -200.) |
-340? | Aristotle (attrib.): Mechanical Problems – Aristotle’s Wheel Paradox |
-330 | Eubulides – first Liar Paradox and other logical paradoxes: The Heap; Have You Stopped Beating Your Wife? |
-325 | Euclid – first Ass and Mule Problem. |
-300 | Ta Chuan – gives an association of numbers and concepts which led to an identification with the River Plan, but this may be spurious. |
-300 | Chang Tzu mentions the Lo Shu. |
c-300 | Meng Tzu (= Mencius): Works IV, ix refers to the game of go as well-developed. Cf -500. |
c-300 | Demotic Mathematical Papyri. |
-285 | Philetas of Cos – died from considering Liar Paradox. |
c-280 | The Stoics invent The Crocodile and Baby Paradox. |
-200 | Archimedes – first description of the Loculus of Archimedes; first Archimedean Polyhedra; first Volume of Intersection of Two Cylinders; first Archimedes’ Cattle Problem. |
c-200 | Pingala describes Pascal’s Triangle. (Date uncertain – cf -450.) |
c-150 | Chiu Chang Suan Shu – first Cistern Problem; first Men Buy a Horse; first Overtaking and Meeting Problems, including first Hound and Hare; first Broken Bamboo. |
-50 | Roman Lex Falcidia leads to inheritance problems, particularly Posthumous Twins Problem. |
-19 | Virgil: Aeneid – mentions isoperimetry. |
-1 & 10 | Ovid mentions a game thought to ba a form of Three Men’s Morris. |
50 | St. Paul: Epistle to Titus I, 12 – mentions All Cretans Are Liars. |
75 | Celsus – first example of Posthumous Twins Problem. |
80 | Josephus: De Bello Judaico. |
80 | Ta Tai Li Chi – first? clear reference to a Magic Square. |
1C | Nagarjuna – first order 4 Magic Square, in India. |
100 | Nicomachus: Introduction to Arithmetic. |
130 | Theon of Smyrna: Biblion … – natural square often erroneously cited as magic. |
c150 | Heron: Peri Metron – Cistern Problem; Aristotle’s Wheel Paradox. |
190?? | Xu Yiu (= Hsu Yo = Xu Yue): Shu Shu Ji Yi (= Shu Shu Chi I) (Memoir on Some Traditions of Mathematical Art) – first? description of order 3 Magic Square. However, current belief is that this text was written by Zhu Luan (= Shuzun) of c570. |
200 | Lå Kå. |
c220 | Legendary invention of the Chinese Rings by Hung Ming. |
c250 | Diophantos: Arithmetica – first Each Doubles Others’ Money; first Men Find a Purse. |
280 | Sun Tzu: Sun Tzu Suan Ching – first Chinese Remainder Problem; first Conjunction of Planets. |
290 | Pappus: Collection – describes Archimedean polyhedra. |
325 | Iamblichus: On Nicomachus’s Introduction to Arithmetic – first mention of Casting Out Nines; first description of the Bloom of Thymarides; first Amicable Numbers. |
450 | Proclus: A Commentary on the First Book of Euclid’s Elements – first Lines Approaching but not Meeting. |
468 | Chang Ch’iu-Chin [= Zhang Qiujian]: Chang Chhiu-Chien Suan Ching[= Zhang Qiujian Suan Jing] – first 100 Fowls Problem. |
499 | Aryabhata I: Aryabhatiya – first general solution of ax – by = c. |
c500 | Invention of chess, probably in northwest India. |
5-6C | Chinese culture is transmitted via Korea to Japan, probably including the games of go, shogi (oriental chess) and backgammon. |
505 | Varahamihira II: Brhatsamhita. |
c510 | Metrodorus, ed.: Greek Anthology. |
c550 | Chess reaches Persia. |
628 | Brahmagupta: Brahma-sphuta-siddhanta. |
629 | Bhaskara I: Laghu-Bhaskariya, a commentary on the Aryabhatiya. |
c640 | Ananias of Shirak: Arithmetical Problems. |
7C | The Game of Promotion – a Chinese version of Snakes and Ladders. |
c7C? | Bakhshali Manuscript – 100 Fowls Problem; first Present of Gems; first Dishonest Butler; first Snail Climbing out of Well. |
780 | Jabir ibn Hayyan. |
c800 | Possible Irish origin of the Josephus Problem with 15 and 15 soldiers, led by Black and White. The earliest MS versions are 9C. Verse mnemonics already exist by mid 12C. |
c800 | Alcuin: Propositiones ad Acuendos Juvenes – first River Crossing Problems (3 types); first Explorer’s Problem; first Division of Casks; first Apple-sellers’ Problem; first Collecting Stones; unusual solution ofPosthumous Twins Problem; first Three Odds Make an Even; first Strange Families. |
802 | Earliest Byzantine reference to chess. |
c820 | al-KhwÉrizmå. Untitled Latin MS of 13C known as Algorismus or Arithmetic. |
c840 | al-Adli – earliest known chess master. |
850 | Mahavira: Ganita-sara-sangraha – first 100 Fowls Problem with four types; first Monkey and Coconuts Problem; first Selling Different Amounts atthe Same Prices; first Sharing Cost of Stairs. |
860 | Chaturveda: Commentary on Brahmagupta. |
875 | Thabit ibn Qurra. |
c875 | al-Ya`qñbå – first Chessboard Problem. |
c890 | Rudrata: K_vy_lank_ra – first Knight’s Paths. |
c900 | Abu Kamil: Book of Rare Things in the Art of Calculation – first 100 Fowls Problem with five types. |
c900 | Sridhara: Patiganita. |
913 | Oldest known Japanese book on go: Go Shiki (The Rules of Go). |
c920 | as-Suli – early chess master. |
943 | el-Masudi: Meadows of Gold – first Chessboard Problem. |
950 | Aryabhata II. |
10C | Europeans learn chess from north Africa, probably via Moorish Spain. The word ‘mate’ is recorded in Latin before 1000. |
969 | Emperor Mu-tsung is reported to have played cards with his wives – the earliest reference to playing cards. However, it is evident that these were the ‘domino’ cards still in use in China. Cf. 1120. |
c980 | al-B_zaj_n_: Arithmetic – first Lazy Worker. |
c983 | Ikhw_n al-Saf_’: Ras_’il (Encyclopedia) – first examples of order 5 and 6 Magic Squares. |
c1000 | Beginning of Rithmomachia. |
c1000 | Chain Code used as mnemonic in Sanskrit poetry. |
1000 | al-Biruni. |
1000 | Ibn al-Haitham. |
1010 | Earliest European mention of chess – the Count of Urgel (in Spain) leaves his rock crystal chess set to a convent. By 1200, the game has spread over most of Europe, reaching as far as Iceland, the Baltic and Bohemia. |
c1010 | al-Karkhi (= al-Karagi): Alfakhri – first Robbing and Restoring; Lazy Worker. |
1020 | Avicenna. |
11C | False dice, with two ones, were made. |
c1060 | Shao Yung: Fu-Hsi diagram – first diagram of the 64 I-Ching hexagrams in binary order. |
1061 | First known mention of chess in Italy – a cardinal complains to Pope Alexander II about a Florentine bishop who spent most of a night playing chess. |
c1075 | Tabar_: Mift_h al-mu`_mal_t – first Use of 1,3,9,… as Weights. |
1100 | al-Ghazzali. |
1120 | Emperor Suen-ho has playing cards made for his wives – probably the Chinese ‘domino’ cards. Cf 969. They are also recorded in 12C Arabia (I’ve forgotten this source – it may refer to the following facts). There is a fragment of a 12 or 13 C card and an almost complete early 15C deckfrom Egypt which show that the 52 card deck came to Europe from Egypt (orthereabouts). Indian cards and games are such that it is conjectured that cards originated in Persia or central Asia and that the Arabic/Egyptian and Indian forms are derived from a common ancestor rather than one from the other. John Scarne says there is an 11C card from Chinese Turkestan. |
c1140 | The Josephus Problem is said to have been in a lost work of Michinori Fujiwara. |
1141 | Abu Ishaq: first recorded Arabic Knight’s tour, possibly due to al-Adli or as-Suli. |
1150 | Bhaskara II: Lilivati & Bijaganita. |
1150 | ibn Ezra. Various works, including a poem about chess. |
Late 12C | Gretti’s Saga mentions Fox and Geese. |
1193 | Eustanthius, Archbishop of Thessalonica, says dice should have opposite sides adding to 7 to prevent cheating. |
c1200 | Latin squares used on amulets in medieval Islamic world. |
1200 | al-Buni. |
1202 | Fibonacci: Liber Abaci – first Western appearance of Fibonacci Numbers; first Use of 1,2,4,… as Weights; first Western version of Selling Different Amounts at the Same Prices; first If A is B, What is C?; first Divination of a Permutation; first Well Between Two Towers; first algorithm for expanding into Egyptian Fractions; first inheritance with ith getting 1 + 1/7 of the rest and all getting the same amount; first Sharing Unequal Resources; first use of 1,2,4,8… to pay rent. |
1225? | Fibonacci: Flos; Epistola. |
1228 | Fibonacci: Liber Abaci, 2nd ed. |
c1240 | Abbot Albert, in Annales Stadenses – first Jug Problem. |
c1240 | Maze laid in Chartres Cathedral. |
1247 | Ch’in Chiu Shao: Shu Shu Chiu Chang (Mathematical Treatise in Nine Sections) – first complete analysis of the Chinese Remainder Problem. |
1250 | al-Lubbudi. |
1253 | Earliest recorded Japanese game of go, supposedly played between Nichiren (founder of the Nichiren sect of Buddhism) and a 9-year old disciple named Nisshomaru. |
1256 | Ibn Khallikan. |
c1260 | al-Qazwini: (KitÉb) `AjÉ’ib al-MakhlñqÉt wa GharÉ’ib al-MawjñdÉt ((The Book of the) Wonders of the Creation and Unique [Phenomena] of the Existence = Prodigies of Things Created and Miraculous Aspects of Things Existing = The Cosmography) – first Man Digging a Well and Stopping Short. |
c1275 | Jacobus de Cessolis’s sermon based on chess is one of the first works on chess. It was one of the first books published by Caxton in 1475. |
1275 | Yang Hui – preserves various Magic Squares; first Magic Circles. |
c1275 | Nicholas de St. Nicholai (attrib.): Bonus Socius collection of chess problems. |
c1275 | Oldest extant MS of Fibonacci – L.IV.20 in Siena. |
1283 | The Spanish Treatise on Chess-Play (the Alfonso MS) produced for Alfonso X of Castile. |
c1305 | Byzantinisches Rechenbuch (BR). |
1315 | Moschopoulos – first Western discussion of Magic Squares. |
1327 | Gherardi: Libro di ragioni; Liber habaci. |
c1350 | Munich 14684. (Possibly 13C.) |
c1350 | Oresme first considers Date Line Problem. |
14C | Japanese Binary Divination is said to date to this time. |
1356 | N_r_yana Pandita: Ganita-kaumud_. |
c1370 | Columbia Algorism – first? Snail Climbing Out of Well with end effect. |
c1370 | ShihÉbaddån Abñ’l-`AbbÉs Ahmad ibn Yahya ibn Abå Hajala at-TilimsÉni alH-anbalå: KitÉb ‘anmñdhaj al-qitÉl fi la`b ash-shatranj (Book of the examples of warfare in the game of chess) – first Blind Abbess and Her Nuns. |
c1370 | dell’Abbaco(?): Trattato d’Aritmetica – first? Snail Climbing Out of Well with end effect. |
1371 | First mention of playing cards in Europe, in a Catalan document in Spain, where cards are called ‘naip’. (But I have a source that says cards were mentioned in 1275, that they are mentioned in German MSS of 1286 to 1384 and were used in Italy in 1299.) |
1377 | First (allegorical) description of playing cards in Europe, in a Swiss MS by John of Rheinfelden, describing a deck of 52 cards – theoriginal MS is lost and the oldest version is a 1429 copy. Within a short time, they are widespread in Europe, but they are not mentioned in severallists of games of the previous decade. They are also not mentioned in the general literature before this time, even by authors such as Petrarch, Boccaccio and Chaucer with an interest in games. A Paris ordinance regulating gaming in 1369 makes no mention of cards, but the equivalent ordinance of 1377 mentions them. By 1380, cards are recorded in Florence, Basel, Regensburg, Brabant, Paris and Barcelona, and several of the records describe cards as new or having arrived this year. |
1380 | Problem of Points in Italian MS. |
c1390 | Lucca 1754 – notes a circumference increases by 44/7 times the increase in the radius. |
1392 | Three packs of cards made for Charles VI of France. |
15C | First associaiton of Magic Squares with planets. |
c1450 | Civis Bononiae collection of chess problems formed. |
c1450 | Gerhardt(?): Algorismus Ratisbonensis (AR) – first Horseshoe Problem. |
c1450 | Tarot cards added to the card deck. |
1460 | Benedetto da Firenze. |
1478 | Treviso Arithmetic. |
1478 | Muscarello: Algorismus. |
c1480 | P. M. Calandri: Tractato d’Abbacho. |
1483 | Wagner(?): Bamburger Rechenbuch. |
1484 | Pietro Borghi: Arithmetica. |
1484 | Chuquet: Triparty – gives inheritance problems of the form ith gets i + 1/7 of the rest which lead to fractional numbers of children. |
1488 | HB.XI.22. |
1489 | Widman: Beh_de und hubsche Rechnung. |
1491 | Calandri: Arithmetrica – printed arithmetic, first with printed illustrations. |
1493 | Kalendrier des Bergers – Date Line Problem. |
1494 | Luca Pacioli: Summa de Arithmetica – first printed version of Problem of Points. |
c1500 | Calandri: Aritmetica; Una Raccolta di Ragioni. |
1500 | Pacioli: De Viribus – first One Pile Game; first Binary Divination; first European Blind Abbess and Her Nuns; first Rearrangement on a Cross; first River Crossing with bigger boats; Explorer’s Problems. 1503,1534 References to a possible Nim-type game. |
1513 | Blasius: Liber Arithmetice …. |
1514 | DÅrer: Melencholia – famous Magic Square. |
1514 | Kobel. |
1521 | Ghaligai: Practica D’Arithmetica. |
1522 | Riese: Rechnung auff der Linien und Federn. |
1522 | Tonstall; De Arte Supputandi – the first arithmetic printed in England. |
1524 | Riese: Die Coss. early 16C First connection of Fibonacci numbers with j. |
1525 | Riese: Rechenung nach der lenge. |
1525 | Durer: Unterweysung der Messung … – first Nets of Polyhedra. |
1526 | Rudolff: Kunstliche rechnung … – first Clock Striking. |
1539 | Cardan: Practica Arithmetice Generalis – first connection of Josephus Problem with Josephus. |
1540 | Gemma Frisius. |
1541 | Rocha: Libro Dabaco. |
1544 | Stifel. |
1545? | Serlino: Libro Primo d’Architettura – first Vanishing Area. |
1545 | Cardan: Ars Magna. |
1546 | Tartaglia: Quesiti. |
1546 | Cataneo: Le Practiche. |
1550 | Cardan: De Subtilitate – first European publication of Chinese Rings; first False Balance. |
1556 | Tartaglia: General Trattato – first River Crossing with four couples; first Two Fathers and Two Sons Make Only Three People. |
1557 | Cardan: De Rerum Varietate – first Staircase Cut; Nets of Polyhedra; first Loop Puzzle (Alliance or Victoria Puzzle). |
1559 | Buteo: Logistica. |
1561 | Ruy Lopez: Libro de la Invencion liberal y Arte del Juego del Axedrez. |
1566 | Trenchant: L’Arithmetique. |
1568 | Jamnitzer: De Perspective Corporum regularum – first Great Dodecahedron. |
1562 | Baker: The Well Spring of Sciences. |
1571 | Gori: Libro di Arimetricha. |
1578 | Champenois: Les Institutions. |
1582 | Wecker: De Secretis Libri XVII. |
1583 | Clavius: Epitome Arithmetica Practica. |
1598 | First go tournament in Japan, sponsored by Toyotomi Hideyoshi. |
1597 or 1599 | Palomino: Liber de mutatione aeris …. |
c1604 | Harriot discovers Binary Arithmetic but does not publish it. |
1605 | Cervantes: Don Quixote – gives Sentinel Paradox. |
1603/1615 | Tokugawa Ieyasu unites Japan under his rule as Shogun. The Shogunate lasts until 1868. He systematises the games of go and shogi by establishing bureaus to regulate the game and provide semi-hereditary houses of professional players. |
1650 | Bacon’s 5-bit binary code. |
1608 | Clavius: Algebra. |
c1610 | Shakespeare: Midsummer Night’s Dream – mentions Nine Men’s Morris. |
1611 | Kepler: The Six-Cornered Snowflake. |
1612 | Bachet: Problemes, 1st ed. – first Divination of a Pair of Cards from its Rows. |
1617 | Napier: Rabdologia – first publication of Binary Arithmetic. |
1619 | Kepler: Harmonices Mundi – first systematic presentation of Archimedean Polyhedra and Tessellations; first finds the two stellated dodecahedra and the rhombic dodeca- and triaconta- hedron. |
1624 | Bachet: Problemes, 2nd ed. |
1624 | van Etten: Recreation Mathematique – first Pigeonhole Recreation; first Silhouette Problems; first Trick Purse. |
1628 | Ens: Thaumaturgus Mathematicus is a Latin editon of van Etten and |
Alcuin. | |
1628-30 | van Etten is extended by Mydorge and Henrion. |
1631 | Mersenne first asks about Multiply Perfect Numbers. |
1632 | Galileo: Dialogo … sopra i due Massimi Sistemi del Mondo … – first solution of Falling Down a Hole Through the Earth. Newton seems to be the first to determine the time taken. |
1633 | van Etten in English. |
1634 or 1641 | Yoshida: Jink_-ki – first extant Japanese version of Josephus Problem, with additional feature of skipping last of first group; first extant Japanese Binary Divination. |
1636 | Schwenter: Deliciae Physico-Mathematicae. |
1640 | Frenicle: letter to Mersenne mentions a Magic Triangle and a Magic |
1640 | Fermat – first mention of Magic Cubes. |
1641 | van Westen: Mathematische vermaecklyckheden is a translation of van Etten into Dutch. |
1647 | Mersenne. |
1651-53 | Schwenter expanded to 3 vols. by Harsdorffer. |
c1660 | Frenicle finds the 880 Magic Squares of order 4. |
1660 | Wecker: Eighteen Books of the Secrets of Art & Nature, translatedby Read. |
1663 | Cardan: Opera Omnia. |
1672 | Leibniz discovers Binary Arithmetic but does not publish on it for about twenty years. |
c1678, 1698 | Leibniz MSS about Solitaire, first published in 1992. |
1682 | d’Aviso: Trattato della Sfera – first Knotting a Strip to Make a Regular Pentagon. |
1685 | Wallis: De Algebra Tractatus – first publication of Prince Rupert’s Problem. |
1694 | Wm. Leybourn(e): Pleasure with Profit. |
1694 | Ozanam: Recreations Mathematiques et Physiques – False Balance; first Clock Problem. |
1694 | Hyde: De Ludis Orientalis. |
1697? | Berey – first depiction of Solitaire. |
c1700 | St. Ives rhyme is well known. |
1702 | Whiston’s Euclid discusses Rope Round the Earth problem. |
1707 | Newton: Arithmetica Universalis – Newton’s Cattle Problem. |
1708 | Remond de Montmort: Essai d’Analyse sur les Jeux de Hasards, 1st ed. – first? publication of Derangements. |
1708 | Ozanam in English. |
1710 | Sauveur finds first magic cube and invents(?) Latin squares. |
1710 | Leibniz – first published mention of Solitaire. |
1713 | N. Bernoulli – first mention of St. Petersburg Paradox. |
1714 | Remond de Montmort, 2nd ed. – first? publication of Derangements. |
1725 | Ozanam expanded to 4 vols. by Grandin. (Probably 1723??) First appearance of many topological problems: Scissors on String; People Joined by Ropes at Wrists; Cherries Puzzle; Solomon’s Seal. First mention of Knight’s Tours outside the chess literature. First orthogonal Latin Squares. First Cutting a Card so One can Pass Through It. |
1726 | Colson first describes negative digits. |
1727 | Kanchusen?: Wakoku Chie-kurabe [Japan Wisdom Competition] – simple Tangram-like puzzle; Staircase Cut; first to see that one can count out either group first in the Josephus situation by using different starting points and/or counts. |
1728 | D. Bernoulli first solves general linear recurrences, assuming distinct roots, and obtaining Binet’s formula for Fibonacci Numbers. First solution of xy = yx in integers. |
1730 | Colson invents Negative Digits. |
1733 | Buffon invents Buffon’s Needle Problem. |
1735 | North Pole problems were well known. |
1736 | Euler on Euler circuits. |
1740 | Sa(u)nderson: Elements of Algebra. |
1742 | “Ganriken”: Sei-Shonagon Chie-no-Ita – Japanese version of Tangrams, very similar, but with different pieces. |
1743 | Nakane: Kanja-otogi-soshi – first appearance of Tait’s Counter |
Puzzle. | |
c1744 | Dilworth: The Schoolmaster’s Assistant – first Four Fours. |
1745 | Simpson: A Treatise of Algebra – first Times from Meeting to Finish Given. |
1747 | Alberti: I Giochi Numerici. |
1748 | Ladies’ Diary gives a Tethered Goat Problem. |
1748 | Euler: Introductio in Analysin Infinitorum – general solution of xy = yx |
1749 | Les Amusemens – first Quadrisection of an L-Tromino; first Dissection of a Cross into Zs and Ls; first Octagram Puzzle; first Dissection of Five Squares to One; first Rearrange a Cross of Six to Make Two Lines of Four; first type III Age Problem. |
1749 | Philidor: Analyze du Jeu des êchecs. |
1750 | Franklin’s elaborate Magic Squares. |
c1750 | Edmond Hoyle active. |
1751 | Walkingame: The Tutor’s Assistant. |
1757,1759 | Euler on knight’s tours. |
1770 | Euler: Algebra. |
1771 | Vandermonde on Knight’s Tours – first 3D version. |
1773 | Lessing first publishes Archimedes’ Cattle Problem. |
1774 | Hooper: Rational Recreations. First discussion of a card shuffle; first form of Polyaboloes; first Geometric Money (3 x 10 to 2 x 6 & 4 x 5); first mnemonic for Divination of a Pair of Cards from its Rows (MUTUS DEDIT NOMEN COCIS). |
1775 | Euler on Josephus Problem – first to find the recurrence for the last person. |
1778 | Euler on Curves of Constant Width. |
1778 | Ozanam-Montucla, dropping the topological problems. First Shortest Route via a Wall. |
1780 | Utamaro depicts Tangram-type puzzle. |
1782 | Euler on Latin Squares. |
1782 | Bonnycastle: Introduction to Algebra. |
1784 | Watt’s Linkage. |
1788 | Pike: A New and Complete System of Arithmetic – first motion with and against current problem. |
1789 | Bullen: A New Compendium of Arithmetic. |
c1790 | Fox invents Thirty-One Game. |
1790 | Catel: Mathematisches und physikalisches Kunst-Cabinet – first Six-piece Burr; first Imperial Scale; first Circle, Square, Triangle Silhouette puzzle; first 6×6 into Zs and Ls; first Puzzle Box. |
1794 | Eadon: The Arithmetical and Mathematical Repository. |
c1800 | A French dice game was introduced to New orleans and develops into craps. |
1801-03 | Bestelmeier: Magazin von verschiedenen Kunst- und andern nÅtzlichen Sachen …. [catalogue] – Six-piece Burr; Imperial Scale; Circle, Square, Triangle Silhouette puzzle; 6×6 into Zs and Ls. |
1801 | Strutt: The Sports and Pastimes of the People of England. |
1803 | Earliest Chinese Tangram book. |
1803 | Ozanam-Hutton. |
1800-10 | Tangram craze in Europe and China. |
1807 | Bestelmeier catalogue for this year shows a Tangram. |
1810 | Poinsot discovers Great Dodecahedron and Great Icosahedron. |
1812 | Laplace: Theorie Analytique des Probabilities. |
1816 | Nieuwland finds largest Cube which will Pass Through a Cube. |
1817 | Colebrooke: translation of the Arithmetic and Algebra chapters of Brahmagupta’s Brahma-sphuta-siddhanta and Bhaskara’s Lilivati and Bijaganita. |
c1818 | Endless Amusement. |
c1819 | Laplace: Essai Philosophique sur les ProbablitiÇs (A Philosophical Essay on Probabilities) – first to discuss Attempts to Modify Boy-Girl Ratio. |
c1820 | Babbage is first to write about Tic-Tac-Toe and first to attempt analysis of a game. |
1821 | Jackson: Rational Amusement for Winter Evenings – first Configuration Problems; first Missionaries and Cannibals problem; North Pole problems; first Dissect Circle into Two Hollow Ovals. |
1822 | Babbage observes a form of the Prisoners’ Dilemma. |
1822 | Minguet e Irol: Engamos … – first diagram of the pieces of a Six Piece Burr. |
1826 | Steiner first studies number of regions determined by n planes. |
1826? | A Sequel to the Endless Amusement. |
1828 | [Clarke, ed.]: Boy’s Own Book – first Heart and Ball Puzzle. |
1829 | First US ed. of Boy’s Own Book. |
1834 | First mention of poker in the US. |
1835 | M. Ohm: Die reine Elementar-Mathematik, 2nd ed. – first use of ‘goldene Schnitt’. |
1835 | The Riddler; A Collection of Puzzles. |
1836 | First chess journal – La PalÖmede, founded by La Bourdonnais in |
Paris. | |
1840 | Lehmus poses Steiner-Lehmus Theorem to Steiner. |
1840 | Ozanam-Riddle. |
1843 | Crambrook’s Catalogue – mentions Puzzle Boxes. |
1843 | Binet gives his formula for Fibonacci Numbers, but it was alreadygiven, much more clearly, by D. Bernoulli in 1728. |
1843 | Fuss: Correspondance Mathematique et Physique. |
1844 | Boy’s Treasury of Sports, Pastimes, and Recreations – first That Man’s Father. |
1846 | Schachzeitung starts. |
1846 | Walker: The Art of Chess-Play, 4th ed. |
1847 | Beverley finds first Semi-magic Knight’s Tour. |
1847 | The Illustrated Boy’s Own Treasury. May be the same as the 1860 version?? |
1848 | Bezzel proposes Eight Queens Problem. |
1849 | Family Friend starts. |
1850s | Matchstick puzzles begin. |
c1850 | Gorham develops Plaiting of Polyhedra. |
c1850 | Jacob’s Ladder toys appear. |
1850 | Nauck gives first complete solution of Eight Queens Problem. |
1851 | Howard Staunton organizes first international chess tournament, at the St. George’s Club in London, in association with the Great Exhibition. Anderssen wins. |
1853 | Sarrus invents Straight Line Linkage. |
1854 | First Multiplying by Shifting. |
1855 | British Chess Association develops from northern and midlands clubs. First congress in Manchester in 1857. |
1857 | First American Chess Congress and founding of American Chess Association in New York. |
1857 | D. W. Fiske starts Chess Monthly. |
1857 | The Magician’s Own Book – first Dead Dogs. |
1857 | Uncle George [George Frederick Pardon?]: Parlour Pastime – first Passing Over Counters; first Place Four Points Equidistantly. |
1857 | Early version of Spots on Foreheads. |
1857-62 | Boncompagni publishes Fibonacci. |
c1858 | Loyd claimed to have invented the 8×8 to 5×13 Vanishing Area about this time. |
1858 | The Sociable – first Number of Cuts to Make N Pieces. |
1858 | Kirkman notes Hamilton Circuits of the Dodecahedron. |
1858 | Listing and Mobius independently discover the Mobius Strip, but don’t publish until 1861 and 1865, respectively. |
1858 | Landells: The Boy’s Own Toy-Maker. |
1859 | The Secret Out. |
1859 | Hamilton: Icosian Game. |
1859 | Book of 500 Curious Puzzles – first Mitre Puzzle; first Unfair Division; first combination of 1,2,…9 to make 100; first Use of Counterfeit Bill; first Probabilistic Truthtellers and Liars Problem; first Removing Loop From Arm. |
1859? | Indoor and Outdoor Games for Boys and Girls. |
1860 | Boy’s Own Conjuring Book. |
1860 | Illustrated Boy’s Own Treasury. May be same as 1847?? |
1860 | Landells: Boy’s Own Toy-Maker. |
1862-63 | de Jaenisch: Traite des Applications de l’Analyse Mathematique au Jeu des êchecs, 3 vols. |
1864 | First Cryptarithm, in American Agriculturist. |
1865 | Charades, Enigmas, and Riddles. Collected by a Cantab. |
1865 | Sylvester first asks for the Probability of a Triangle being Acute. |
1867 | First appearance of Frogs and Toads, in American Agriculturist. |
1868 | First appearance of 8×8 to 5×13 Vanishing Area. |
1868 | Pardon: Parlour Pastimes. |
1869 | G. Cantor gives a general treatment of mixed base number systems. |
1871? | Cremer: The Secret Out. |
1871 | Cremer: The Magician’s Own Book, UK ed., quite different from US 1857 book. |
1871 | Loyd: Trick Ponies. |
1871 | First appearance of a Bug Problem, in a Cambridge Tripos. |
1872 | Cremer: Hanky Panky – first Division (of 17 elephants) into Half + Third + Ninth; first Jacob’s Ladder used as Chinese Wallet. |
1872 | Elliott: Within Doors. |
1872 | Gros: Theorie du Baguenodier – first analysis of Chinese Rings and hence first Gray Code. |
1873 | Lemoine considers Probability that Three Lengths Form a Triangle. |
1874 | Labosne’s edition of Bachet’s Problemes. Reprinted 1879, 1884 and since. |
1874 | van der Linde: Geschichte und Literature des Schachspiels. |
1875 | Reuleaux: Theoretische Kinematik – discusses Reuleaux Triangle. |
1875 | Diagonal Six Piece Burr. |
1875 | Grunwald invents Negative Bases. |
1876 | Fechner: Vorschule der ésthetik – formalises aesthetic aspects of golden ratio. |
1876 | Child: The Girl’s Own Book, new ed. [First appeared, c1830, but earliest extant copies seem to be 6th ed., 1833.] |
1877 | Kamp: Danske Folkeminder …. |
1878 | Kinsey patents 6×6 sliding piece puzzle and makes first mention of use of non-square pieces. |
c1878 | Baudot uses Gray Code in a printing telegraph. |
1878 | Lucas: Theorie des fonctions numeriques simplement periodiques begins modern theory of recurrences. |
1879 | First publications on Fifteen Puzzle. (Possibly 1880?) |
1879 | First Ring Maze. |
1879 | Mittenzwey: Mathematische Kurzweil – first A Right Angle is Obtuse; first Place an Even Number in Each Line; first Bridge a Moat with Planks; first Number of Buses Met. |
1880 | Fifteen Puzzle craze. |
1880 | Tait proposes Sliding Cube Puzzle. |
1880 | Otto Korschelt publishes “Das japanisch-chinesische Spiel Go” in Mitteilungen der deutschen Gesellschaft fÅr Natur und Volkerkunds Ostassiens (1880-81) – the first extended description of go in a Western language. |
1880 | Luers patents first Dissected Chessboard. |
1880 | van der Linde: Erst Jartausend. |
1880-81 | Marre publishes Chuquet’s Triparty. |
1881 | Simon Newcomb observes the First Digit Problem and derives Benford’s Law. |
1881 | Milne: The Inductive Algebra. |
1881 | General Four Fours problem appears in Knowledge. |
1881 | Cassell’s Book – first Removing Waistcoat without Removing Coat. |
1881 | Tissandier: Les RÇcrÇations Scientifiques – first Packer’s Secret. |
1881 | British Chess Magazine starts. |
1870-95 | Carroll active – first Water in Wine versus Wine in Water Problem; first Pawning Money. |
1882 | Lucas: RÇcrÇations MathÇmatiques, vol. 1. Gives De Fontenay’s idea of couples crossing a river with an island. |
1883 | Proctor finds Largest Parcel One Can Post. |
1883 | Lucas invents Tower of Hanoi. |
1883 | Lucas: Recreations Mathematiques, vol. 2 – first Dots and Boxes; first Shunting Puzzles. |
1883 | Hunter and Squirrel problem discussed in Knowledge. |
1883 | Ward patents first Rolling Piece Puzzle – with tetrahedra. |
1884 | Sylvester poses(?) and answers the Postage Stamp Problem for two values. |
1880s | Wire puzzles appear. |
1885 | GrÅnwald introduces negative bases for number systems. |
1886 | Ring and Spring Puzzle appears. |
1886 | Peck & Snyder catalogue. |
1887-88 | Pauwels patents squared Trick Dovetail Joint. |
1888 | Hoernle first describes the Bakhshali Manuscript. |
1889 | Bertrand: Calcul des Probabilites – first Box Paradox; first Chord Paradox. |
1889 | Rice patents a 2x2x2 Sliding Cube Puzzle. |
1889 | von Haselberg finds first Magic Hexagon. |
1889 | Lucas first mentions Tower of Hanoi with More Pegs. |
1890 | Thurston patents matching puzzles. |
1890 | Lemon: Everybody’s Illustrated Book of Puzzles – Use of Counterfeit Bill. |
1890 | Altekruse patents Altekruse Puzzle. |
1890 | Der Gute Kamerad: Kolumbus-Eier – first Tumble Rings. |
1890 | 1089 Problem, with English money giving ú12 18s 11d, appears. |
1890-93? | Tom Tit: La Science Amusante – shows square trick dovetail joint. |
1891 | Hutchison, ed.: Indoor Games and Recreations – first Cube Made from Six U Pieces. |
1891 | Lucas: ThÇorie des Nombres – first Folding a Strip of Stamps problem. |
1891 | Hoffmann: Magic at Home – an annotated translation of Tom Tit: La Science amusante, vol. 1. |
1891 | Smith patents a Triangular Solitaire. |
1891 | Everett patents Loony Loop. |
1892 | Ball: Mathematical Recreations and Essays, 1st & 2nd eds. (MRE) – first Fore and Aft Puzzle; first Every Triangle is Isoceles. |
1892 | Berkeley & Rowland: Card Tricks & Puzzles. |
1893 | Lucas: RÇcrÇations MathÇmatiques, vol. 3. |
1893 | Hoffmann: Puzzles Old and New – first Cube Dissection Puzzle; shows Three Piece Burr; first publication of Dissected Die; first Interlocked Nails; first Horseshoes Puzzle; first Caught Heart. |
1893 | Sylvester proposes Sylvester’s Problem of Collinear Points. |
1893 | MacMahon & Jocelyn patent MacMahon Pieces. |
1893 | Lewis Carroll’s Monkey Problem. |
1894 | Carroll prints his Barber Paradox. |
1894 | Lucas: RÇcrÇations MathÇmatiques, vol. 4. |
1894-98 | Gomme: Traditional Games of England, Scotland and Ireland. |
1890s | Walker analyses Celts = Rattlebacks. |
1895 | Culin: Korean Games. |
1895 | Curtze publishes Munich 14684. |
1895 | Lucas: L’Arithmetique Amusante. |
1896 | Ball: Mathematical Recreations and Essays, 3rd ed. – first Salary Puzzle. |
1896-97 | Loyd: columns in Brooklyn Daily Eagle. |
1896-98 | Loyd & Dudeney: columns in Tit-Bits. |
1897 | von der Lasa: Zur Geschichte und Literatur des Schachspiels. |
1897 | Loyd or Dudeney uses symmetry in a game analysis. |
1897 | Loyd or Dudeney introduces No Three in a Line Puzzle. |
1897 | Loyd or Dudeney introduces Counting Routes in a Word Diamond. |
1897 | Loyd introduces Chain Cutting and Rejoining puzzles. |
1898 | Ball-FitzPatrick, 1st ed. – first 1089 Problem. |
1898 | Schubert: Mathematische Mussestunde. |
1899 | Carroll: The Lewis Carroll Picture Book, ed. by Collingwood – first Lowering from Tower problem. |
1899 | Segerblom describes Three Piece Burr with identical Pieces. |
1899 | Pick gives Pick’s Theorem. |
1899 | Fourrey: Recreations Arithmetiques. |
1896-1903 | Dudeney’s Puzzles & Prizes column in the Weekly Dispatch. |
c1900 | Russell invents his paradox. |
c1900 | Archimedes’ letter on Loculus of Archimedes is discovered. |
1900 | Bräckner: Vielecke und VielflÑche – first rotating ring of polyhedra. |
1900 | Hilbert’s Problems. He asks about tessellating space. |
1900 | Schubert: Mathematische Mussestunde, 2nd ed. in 3 vols. |
1900 | Schossow (US) and Moffatt (UK) patent Instant Insanity Puzzles. |
1900-02 | Suter: Die Mathematiker und Astronomen der Araber …. |
1901 | Ahrens: Mathematische Unterhaltungen und Spiele, 1st ed. |
1902 | Dudeney: Lady Isabel’s Casket begins development leading to Squaring the Square. |
1902 | Dudeney’s Square to Triangle Dissection. |
1902 | Workman: The Tutorial Arithmetic – first Skeleton Arithmetic Problems. |
1902 | Bouton: Nim: A game with a complete mathematical theory – first mention of Nim. |
1902 | Tropfke: Geschichte der Elementar-mathematik, 1st ed., 2 vols. |
1903 | Loyd: Chinese Tangrams. |
1903 | Cox’s edition of Strutt: The Sports and Pastimes of the People of England. |
1903 | First Dissected T. |
1903 | Dudeney’s four side Spider and Fly Problem. |
1904 | Berry invents Visitng Card Paradox and Berry’s Paradox. |
1904 | Dudeney: Great puzzle crazes, in Strand Magazine. |
1904 | Benson: The Book of Indoor Games …. |
1904? | Ahrens: Mathematische Spiele, in Encyk. der Math. Wiss. |
1905 | Dudeney’s five side Spider and Fly Problem. |
1905 | Ball: Mathematical Recreations and Essays, 4th ed. – popularises Chessboard Placing Problems. |
1905 | Fiske: Chess in Iceland. |
1905 | Zermelo is first to analyse games in general. |
1905 | Ice in a Full Glass of Water appears. |
1906 | Dudeney’s No Three in a Line Problem. |
1906 | Laisant: Initiation MathÇmatique – first Fly Between Trains; first Limited Means of Transport. |
1907 | Berwick: Seven Sevens Problem. |
1907 | Pearson: Twentieth Century Standard Problem Book – first Counting Triangles problem; first Ladder Over Box; first pan-digital fractions; first Push a Bicycle Pedal. |
1907-08 | Loyd: Our Puzzle Magazine. |
1907 | Dudeney: Canterbury Puzzles (CP). Broken chessboard is first use of all 12 pentominoes. |
1907 | Loyd’s Columbus Egg Puzzle – join all points of a 3×3 array with a four segment line. |
1907 | Fourrey: Curiosities Geometriques. |
1907-09 | Ball-FitzPatrick, 2nd ed. |
1908 | Scrutchin patents a Polyiamond puzzle. |
1908 | Greeling invents his paradox, about Heterological. |
1908 | Morley’s Theorem. |
1908 | Dudeney: Puzzles from games; Some much-discussed puzzles; The world’s best puzzles – all in Strand Magazine. |
1908 | First modern Crossed Ladder Problem. |
1908 | Dudeney: The broken chessboard – first depiction of pentominoes. |
1908 | W. F. White: A Scrap-Book of Elementary Mathematics. |
1909 | First Western journal on go – Die Abonnente – founded by L. Pfaundler of Graz, Austria. |
1910? | Goldston: More Tricks and Puzzles – first description of Loyd’s Pencil Puzzle. |
1910 | Dudeney starts his Perplexities column in Strand Magazine. It runs to c1931?? |
1910 | Witting – first Illegal Cancellation. |
1910 | Bullivant: Home Fun. |
1911 | Lewis first discusses Multiplying by Reversing. |
1911 | Ball: Mathematical Recreations and Essays, 5th ed. |
1911 | Manson: Indoor Amusements. |
1912 | Morley Adams, ed.: The Boy’s Own Book of Indoor Games and Recreations. |
1913 | 21 Dec: Arthur Wynne’s first crossword puzzle for New York World Sunday Magazine. |
1913 | Dudeney: first publication of Gas, Water and Electricity Problem. |
1913 | R. Journet patents first Centrifugal Puzzle – Spoophem. |
1913 | Mikami: The Development of Mathematics in China and Japan. |
1913 | A. C. White: Sam Loyd and His Chess Problems. |
1913 | Murray: History of Chess. |
1914 | Ball: Mathematical Recreations and Essays, 6th ed. |
1914 | Loyd: Cyclopedia – Mrs Perkins’ Quilt; first Selling, Buying and Selling Same Item; first Bookworm’s Distance; first Circling an Army problem. |
1915 | Watts patents device for drilling square holes. |
1915 | Rausenberger discovers the convex Deltahedra. |
1917 | Ball: Mathematical Recreations and Essays, 7th ed. |
1917 | Dudeney: Amusements in Mathematics (AM) – first 2592 Problem. |
1917 | Licks: Recreations in Mathematics – first Moving Round a Corner problem. |
1917 | Smith: On the origin of certain typical problems. |
1910-18 | Ahrens: Mathematische Unterhaltungen und Spiele, 2nd ed. (MUS). |
1918 | Tom Tit – Knott: Scientific Amusements. |
1918 | Ahrens: Altes und Neues aus der Unterhaltungsmathematik (A&N;). |
1919 | Dudeney: Fly Between Trains. |
1919 | Ball: Mathematical Recreations and Essays, 8th ed. |
1919 | Smith: Number Stories of Long Ago. |
1920 | Daily Mail World Record Net Sale puzzle. |
1920 | Dudeney’s Damaged Measure starts Ruler with Minimal Number of Marks problem. |
1920 | Ball: Mathematical Recreations and Essays, 9th ed. |
1920 | First Resistor Networks problems. |
1919-23 | Dickson: History of the Theory of Numbers. |
c1920 | Bartl magic catalogue. |
c1920 | Five Brick Puzzle develops into standard form. |
early 1920s | Polyiamond puzzles used for promotions. |
1921 | Heath: History of Greek Mathematics (HGM). |
1921 | MacMahon: New Mathematical Pastimes. |
1921 | Blyth: Match-Stick Magic. |
1921-24 | Tropfke: Geschichte der Elementar-mathematik, 2nd ed., 7 vols. |
1922 | Ball: Mathematical Recreations and Essays, 10th ed. |
1922-23 | Langley poses his Adventitious Angles problem. |
1923 | Coffin proposes Card Piling Over a Cliff Problem. |
1923 | Smith: History of Mathematics. |
1924 | 2 Nov: First Brtiish crossword appears in The Daily Express. |
1924 | FIDE (FÇdÇration Internationale des êchecs) founded. |
1924 | The Week-End Book – first Impossible Exchange Rates. |
1924 | Dudeney, in Strand, first(?) gives SEND + MORE = MONEY. |
1924 | The Times refers to crossword puzzles as a menace. Cf 1930. |
1925 | Ackermann: Scientific Paradoxes and Problems. |
1926 | Dudeney: Modern Puzzles (MP) – first description of all Nets of a Cube. |
1926 | Dudeney: The psychology of puzzle crazes. |
1926 | Dudeney gives first Crossnumber Puzzle in Strand. |
1926 | Western Puzzle Works Catalogue. |
1926 | Ben Ames Williams: “Coconuts”, in the Saturday Evening Post causes popular furore. |
1926 | Western Puzzle Works Catalogue shows first Pick Up Puzzle. |
1927 | Davenport invents Birthday Problem. |
1927 | King: Best 100 Puzzles – first Use of Fallen Signpost. |
1927 | Sanford: History and Significance of Certain Standard Problems in Algebra (H&S;). |
1927-33 | Kaye’s stdy of the Bakhshali Manuscript. |
1913-42 | Perelman active – first to consider travel around a ‘square’ on the earth; first to ask for the Largest Number Expressible with Four Ones, etc.; first? to consider Nets of a Cube. |
1928 | Wyatt: Puzzles in Wood. |
1928 | Loyd Jr.: Sam Loyd and His Puzzles (SLAHP) – first Antimagic Figure, a 3×3 square; first Counting Squares problem. |
1928 | Collins: Fun with Figures. |
1929 | Smith: A Source Book in Mathematics. |
1930 | The Times succumbs and begins running a crossword puzzle. |
1930 | Sanford: A Short History of Mathematics. |
1930 | Kraitchik: La Mathematique des Jeux. |
1930 | Hargrave: A History of Playing Cards and a Bibliography of Cards and Gaming. |
1931?? | Dudeney’s Perplexities column ends with his death. |
1931 | MINOS [S. Vatriquant], in Sphinx, introduces word “cryptarithmie” and gives desireable qualities for one. |
1931 | Loyd Jr.: Are you good at solving puzzles?. |
1931-39 | Sphinx, ed. by Kraitchik. |
1932 | Dudeney: Puzzles and Curious Problems (PCP) – first Smith, Jones, Robinson Problem; first Mirror Reversal Paradox. |
1932 | Phillips: Week-End Problems Book. |
1933 | Read – first Missing Dollar. |
1933 | Abraham: Diversions and Pastimes. |
1933 | Phillips: Playtime Omnibus. |
1933-34 | Dissection of 1x1x2 to a Cube. |
1934 | Cohen & Nagel describe Reversal of Averages Paradox. |
1934 | ReutersvÑrd invents Tribar but doesn’t publish it. |
1930-40 | Tropfke: Geschichte der Elementar-mathematik, 3rd ed., vols. 1-4 (the MSS of the remaining volumes were lost in 1945). |
c1935 | Using Chain Links to Pay for a Room. |
1935 | Premiere Congres International des Recreations Mathematiques in Brussels. |
1935 | Spots on Foreheads develops. |
1935-38 | Datta & Singh: History of Hindu Mathematics. |
1935-39 | Fairy Chess Review has a number of polyomino problems. |
1936 | Truthtellers and Liars Problems develop. |
1936 | Cigarette Butts problem occurs. |
1936 | Phillips: Brush Up Your Wits – first Ship’s Ladder in Rising Tide. |
1936 | Hein invents Soma Cube. |
1936 | Sprague discovers Sprague-Grundy Theory. |
1936 | Rudin: So You Like Puzzles! |
1937 | Ciamberlini & Marengoni: Su una interessante curiosità numerica – first publication of the Four Number Game, attributed to Ducci. |
1937 | Hoppenot, in Sphinx, first asks about Numbers Equal to the Sum of Some Power of Their Digits. |
1937 | Deuxiäme Congrés International des Recreations Mathematiques. |
1937 | Phillips: Question Time. |
1938 | Benford: The law of anomalous numbers – popularizes Newcomb’s discovery of the First Digit Problem, generally known as Benford’s Law. |
1938 | Coxeter et al.: The Fifty-Nine Icosahedra. |
1938 | Steinhaus: Mathematical Snapshots (in Polish and English) – first Self-Rising Dodecahedron. |
1939 | August: The Black-Out Book. |
1939 | von Mises first studies Birthday Problems, but not the usual version. |
1939 | Ball-Coxeter: Mathematical Recreations and Essays, 11th ed. – first publication of Davenport’s version of the Birthday Problem. |
1939 | Depew: Cokesbury Game Book. |
1939 | Adams: Morley Adams Puzzle Book – first Counting Hexagons problem; first Reverse a Triangular Array of 10 Circles. |
1939 | First discussion of polycubes in Fairy Chess Review. |
1939 | Grundy discovers Sprague-Grundy Theory. |
1939 | Sprague finds first perfect squared square. |
1939 | Chowla shows Cubing the Cube is impossible. |
c1939 | Stone invents Flexagons and Flexatube. Stone, Feynman, Tuckerman & Tukey study them. |
1939-41 | Thomas: Selections Illustrating the History of Greek Mathematics (SIHGM). |
Late 1930s | 3D and 4D Tic-Tac-Toe played at Cambridge. |
1940 | Johnson patents Two Piece Dissection of the Tetrahedron. |
1940 | McKay: At Home Tonight. |
1940 | Williams & Savage: The Penguin Problems Book. |
1941 | Heald: Mathematical Puzzles – first Erroneous Averaging of Velocities. |
c1941? | Ekboom notes Unexpected Hanging Paradox. |
1942 | Filipiak: 100 Puzzles – How to Make and Solve Them. |
1942 | Hein invents Hex. |
1943 | First Early Commuter. |
1943 | Kraitchik: Mathematical Recreations. |
1943? | Origin of False Coin Problems. |
1943-44 | Richmond dissects 63 into 33 + 43 + 53. |
1943-47 | Sullivan: Problems involving unusual situations. |
1944 | Scorer, Grundy & Smith describe the graph of the Tower of Hanoi. |
1944 | Northrop: Riddles in Mathematics. |
1944 | Steinhaus asks How to Divide a Cake Fairly. |
1944 | Bagley: Paradox Pie – first Square Peg in Round Hole or Vice Versa; first 28/7 = 13; first Walking in the Rain. |
1944 | Bagley: Puzzle Pie. |
c1945 | Wayne introduces Doubly True Cryptarithms. |
c1945 | Hempel invents Hempel’s Rave Paradox. |
1946 | Wyatt: Wonders in Wood. |
1946 | Leeming: Fun with Puzzles. |
1946 | Black: Critical Thinking – first Covering Deleted Chessboard with Dominoes. |
1946-47 | Freudenthal & van der Waerden rediscover Convex Deltahedra. |
1947 | Gardner describes a hexatetraflexagon. |
1950 | Flood & Dresher identify Prisoners’ Dilemma. |
1952 | Riccardi: Biblioteca Matematica Italiana dalla Origine della Stampa ai primi Anni del Secolo XIX. |
1952 | Murray: A History of Board-Games Other than Chess. |
1952 | Schuh’s Game of divisors, isomorphic to Chomp. |
1953 | Littlewood: A Mathematician’s Miscellany. |
1953 | Tippee Tops popular in the UK. |
1954 | Golomb: Checkerboards and polyominoes starts geenral interest in Polyominoes. |
1954 | Coxeter et al.: “Uniform polyhedra”. |
1955 | Ransom: One Hundred Mathematical Curiosities. |
1955 | Hunter introduces word ‘alphametic’. |
1956 | Crowe observes connection between Gray Codes and Tower of Hanoi. |
1956 | Gardner starts his Mathematical Games column in Scientific American. |
1956 | Gardner: Mathematics, Magic and Mystery. |
1957 | Gardner describes Polyominoes. |
1957 | Perelman: Figures for Fun, in English. |
1957 | Reeve generalizes Pick’s Theorem to three dimensions. |
1957 | Hall: A Bibliography of Books on Conjuring in English from 1580 to 1850 (BCB). |
1958 | Gamow & Stern: Puzzle-Math – first Forty Unfaithful Wives. |
1958 | R. Penrose invents Tribar; L. S. Penrose invents Impossible Staircase. |
1958 | Gardner gives first description of Bridg-It. |
1958 | Gardner describes Solid Pentominoes, Pentacubes, Tetracubes. |
1958 | Gardner Describes Soma Cube. |
1958 | Needham: Science and Civilization in China, vol. III. |
1958 | Scott does the first programming of a combinatorial puzzle – Pentominoes on 8×8 with 2×2 in center. |
1959 | Bath: Fun with Figures. |
1959 | Bose & Shrikande disprove Euler’s conjecture on orthogonal Latin Squares. |
1959 | Gardner begins collecting his columns in books with: The Scientific American Book of Mathematical Puzzles and Diversions. |
c1959 | Hein’s Superellipse. |
1959-60 | Mathematical Puzzles of Sam Loyd 1 & 2 (MPSL1&2), ed. by Gardner. |
1955-78 | Schaaf: A Bibliography of Recreational Mathematics, 4 vols. |
1960 | Escher: Ascending and Descending. |
c1960 | O’Beirne’s Steps. |
1961 | Escher: Waterfall. |
1961 | Gardner: The Second Scientific American Book of Mathematical Puzzles and Diversions. |
1961-62 | O’Beirne’s Puzzles and Paradoxes column in New Scientist – first describes Tetraboloes; coins word Polyiamonds. |
1961-64 | Recreational Mathematics Magazine, ed. by Madachy (RMM). |
1962 | Dresner: Science World Book of Brain Teasers. |
1962 | Conway and M. Guy find all solutions of Soma Cube. |
1964 | Duby is first to compute knight’s tours and finds all of them on the 6×6 board. |
1964 | First published Two Pronged Trident. |
1965 | Golomb: Polyominoes. |
1965 | Think-a-Dot introduced. |
1965 | O’Beirne: Puzzles and Paradoxes. |
1965 | Greenblatt: Mathematical Entertainments. |
c1965 | Li & Du: Chinese Mathematics: A Concise History, in Chinese. |
1966 | Madachy: Mathematics on Vacation. |
1966 | Taylor: The Mathematical Practitioners of Hanoverian England 1714-1840. |
1966 | Gardner: Martin Gardner’s New Mathematical Diversions from Scientific American. |
1966-67 | Johnson & Zalgaller find the Regular-Faced Polyhedra. |
1967 | Gardner describes Polyhexes. |
1967 | Gardner: The Numerology of Dr. Matrix. |
1967 | Schofield solves Eight Puzzle. |
1967 | Gardner gives first description of Conway’s Sprouts. |
1967 | Dudeney: 536 Puzzles and Curious Problems, ed. by Gardner (536). |
1967 | Trigg: Mathematical Quickies. |
1968 | Journal of Recreational Mathematics starts, ed. by Madachy (JRM). |
1969 | Simmons invents Sim. |
1969 | Gardner: The Unexpected Hanging and Other Mathematical Diversions. |
1969 | Struik: A Source Book in Mathematics 1200-1800. |
1969 | Parker Bros. produce Soma Cube. |
1970 | Smith: Rara Arithmetica, 4th ed. |
1970 | Hein: Pyramystery – first Ball Pyramid Puzzles, in two forms under the same name! |
1970 | Taylor: The Mathematical Practitioners of Tudor & Stuart England 1485-1714. |
c1970 | Conway invents Life; Gardner describes it in 1970. |
1971 | Avedon & Sutton-Smith: The Study of Games. |
1971 | Doubleday: Test Your Wits, vol. 2. |
1972 | Wieber: Das Schachspiel in der Arabischen Literatur …. |
1972 | Hall: Old Conjuring Books (OCB). |
1973 | Zaslavsky: Africa Counts. |
1973 | Libbrecht: Chinese Mathematics in the Thirteenth Century. |
1973 | Fisher: The Magic of Lewis Carroll. |
1974 | Ball-Coxeter: Mathematical Recreations and Essays, 12th ed. |
c1974 | Penrose invents Penrose Pieces. |
1972-1981 | Games & Puzzles, in England. |
1975? | Gardner: Martin Gardner’s Sixth Book of Mathematical Games from Scientific American. |
1975 | Gardner: Mathematical Carnival. |
1975 | Golomb trademarks word ‘Pentominoes’. |
1976 | Biggs, Lloyd & Wilson: Graph Theory 1736-1936 (BLW). |
1976 | Gaffney & Steen: Annotated Bibliography of Expository Writing in the Mathematical Sciences. |
1976 | Gardner: The Incredible Dr. Matrix. |
1976 | Devi: Puzzles to Puzzle You. |
1976-78 | Toole Stott: A Bibliography of English Conjuring 1581-1876. |
1977 | Slocum: Compendium of Mechanical Puzzles. |
1978 | Folkerts produces first critical edition of Alcuin. |
1978 | Hermelink: Arabische Unterhaltungsmathematik. |
1978 | D. Hoffman’s Cube. |
1978 | Rubik’s Cube first starts to become known outside Hungary. |
1978 | Gardner: Mathematical Magic Show. |
1978 | Birtwistle: The Calculator Puzzle Book. 1975-1987 Jelliss produces Chessics. The Journal of Generalized Chess. |
1979 | Gardner: Mathematical Circus. |
1980 | Tropfke: Geschichte der Elementar-mathematik, 4th ed., vol. 1. |
1980-82 | Rubik’s Cube becomes greatest puzzle craze of all time. |
1981 | Moser: Research Problems in Discrete Geometry. |
1981 | Berloquin: Le Jardin du Sphinx. |
1981 | Gardner ends his regular Scientific american columns. |
1982 | Berlekamp, Conway & Guy: Winning Ways. |
1983 | Gardner: Wheels, Life and Other Mathematical Amusements. |
1983-87 | Schaaf’s 12 Vestpocket bibliographies in Journal of Recreational Mathematics. |
1980s? | Knowing Sum Versus Knowing Product develops. |
1985 | Gardner: The Magic Numbers of Dr. Matrix. |
1985 | Hayashi’s thesis on the Bakhshali Manuscript. |
1985 | Flegg, Hay & Moss’s study of Chuquet and his Triparty. |
1985-86 | Strens Collection purchased for Calgary and opening conference. |
1980s onward | Fraenkel: Selected Bibliography on Combinatorial Games and Some Related Material. |
1986 | Gardner: Knotted Doughnuts and Other Mathematical Entertainments. |
1986 | Slocum & Botermans: Puzzles Old & New (S&B;). |
1986 | Hordern: Sliding Piece Puzzles. |
1986? | Sallows invents alphamagic squares. |
1987 | GrÅnbaum & Shephard: Tilings and Patterns. |
1987 | Li & Du: Chinese Mathematics: A Concise History. |
1987 | Ball-Coxeter: Mathematical Recreations and Essays, 13th ed. |
1987 | Ascher analyses Mu Torere. |
1987-89 | Jelliss produces Games and Puzzles Journal (successor to Chessics). |
1988 | Hoffmann: Puzzles Old and New, of 1892, reprinted by Hordern. |
1988 | Gardner: Time Travel and Other Mathematical Bewilderments. |
1989 | Gardner: Penrose Tiles to Trapdoor Ciphers. |
1991 | Ascher: Ethnomathematics. |
1991 | Allen: Brain Sharpeners. |
1992 | Rabinowitz: Index to Mathematical Problems 1980-1984. |
1992 | Sallows devises Pangrams and Reflexicons. |
1992 | Hadley & Singmaster translate and annotate Alcuin into English. |
1993 | Folkerts and Gericke translate and annotate Alcuin into German. |
1993 | Hordern’s edition of Hoffmann, with colour illustrations. |