Bio-bibliography of Knight's Tours

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Full names of authors, together with dates of birth and death and other biographical details, where known and felt to be relevant, are given, followed by titles of their books or journals in which articles were published. For fuller titles, description of contents and other details go to the appropriate date in the Chronology pages. Names are listed in strict alphabetical order. Surnames preceded by prefixes or in two parts are cited under both parts (e.g. van der Linde is under V and L). Much of the biographical information on British names is gleaned from the Dictionary of National Biography and from Jeremy Gaige's Bio-bibliography of British Chess Personalia. Abbreviations: b = born, d = died, ms = manuscript. A dash (—) indicates missing information. Some works, where the author is unknown, are listed under the name of editor, publisher, printer, library, museum, city or country.

« A

A—, (Fr) Wilhelm; ms 1791.

Adam (Le Jeune), Carle; Des Mouvements du Cavalier, 1848; Le Kaleidoscope Echiquiéen 1867.

Adamson, Henry Anthony (b. Ealing 21 i 1871 – d. Falmouth 21 viii 1941) in Chess Amateur 1922, and in Fairy Chess Review 1932.

Addison, George Augustus (1792 – 1814); Indian Reminiscences 1837.

Adli; See al-Adli.

'Adsum' = Bouvier.

Ahrens, Wilhelm Ernst Martin Georg (b. 1872 – d. 1927); Mathematische Spiele 1900, Mathematische Unterhaltungen und Spiele 1901, 1910.

Akenhead, (Major) J; in Fairy Chess Review 1946–7, 1951–2.

Ala'addin Tabrizi; c.1400 (also known as Ali ash-Shatranji, i.e. Ali the chessplayer) Leading player at the Samarkand court of Timur (1336-1405). Known to have written a work on chess. Murray gives reasons to believe that a copy of this work may survive in a 16th century ms in the Royal Asiatic Society Library, London, ms Persian #211 (formerly #260). Quarterboard tour conundrum.

al-Adli ar Rumi (flourished 840) Kitab ash-Shatranj {Book of Chess}. Earliest closed knight's tour.

al-Amuli, Muhammad ben Mahmud (d. 1352); Nafa'is al-funun fi'ara'is al-'uyun {Treasury of the Sciences}. Contains one 8x8 tour.

al-Baghdadi, Abu Ishaq Ibrahim ben al-Mubarak ben Ali al-Mudhahhab; 1141, manuscript #560 in Istanbul Library, title Kitab ash-shatranj mimma's-lafahu'l-Adli was-Suli wa ghair-huma {Book of chess: extracts from the works of al-Adli, as-Suli and others}.

'Alban' = Will Scotland; in Crossword 1988.

Albert, Eugene; in Scripta Mathematica 1962.

al-Buni; 1200, various manuscripts, includes many 4×4 magic squares, using letters as numbers, with the top row spelling a word.

Alcuin (b. York 735 – d. Tours 804), also known as Ealhwine, or Flaccus Albinus. According to the Laings (1992) the seal on the Book of Kells (~800) illustrates a saying from Alcuin.

Alembert; See d'Alembert.

Alexandre, Aaron; Beauties of Chess 1846.

al-Hakim, Abu Zakariya Yahya ben Ibrahim; ms c.1350, Nuzhat al-arbab al-'aqulfi'sh-shatranj al-manqul {The delight of the intelligent, a description of chess}. This has two 8×8 tours, one attributed to al-Adli and the other to Ali ibn Mani. It survives in two mss, one scribed about 1350 has both tours, a later copy has only one.

'Ali ash Shatranji' = Ala'addin.

Amuli; See al-Amuli

Anderson, —; (conjecturally John Henry Anderson, the 'Wizard of the North', b. 1815 – d. 1874); see Troupenas 1842.

Andrews, William Symes (b. 1847); Magic Squares and Cubes 1908.

an-Nadim, ben Ishaq; Kitab al-fihrist. A bibliography which has a section on chess in which the Adli and Suli books are listed.

ApSimon, Hugh; in Mathematical Gazette 1956.

as-Suli, Abu-Bakr Muhammad ben Yahya (b. ~880 – d. 946); Kitab ash-Shatranj {Book of Chess} from which four 8×8 closed tours survive, including examples using alternating knight-fers and knight-alfil moves, in several later manuscripts.

« B

Babbage, Charles (b. 1791 – d. 1871); in Journal of Science and the Arts, Royal Institution, 1817-18; Prof. D. E. Knuth identifies the compute pioneer Babbage as the author of this anonymous article.

Babu, Lala Raja (I'm not sure if Lala Raja are names or a title) Mo'allim ul Shatranj 1901.

Baghdadi; See al-Baghdadi.

Baillie, (Rev) A.W.; in Fairy Chess Review 1948, 1950, 1954.

Bain, George; Celtic Art, The Methods of Construction 1951.

Ball, Walter William Rouse (b. London 14 viii 1850 – d. Cambridge 4 iv 1925); Mathematical Recreations and Essays 10 editions 1892 – 1922. See also Coxeter.

Ballière de Laisement, Denis (b. 1729 – d. 1800); Essai sur les Problèmes de Situation 1782.

Basra; Arabic encyclopaedia Raza`il by members of the philosophical association 'Brothers of Sincerity'. Describes the 3×3 magic square by moves of knight, fers and pawn.

Basterot, —; 1853.

Béligne, —; magic tours in Le Siècle 1880.

Beasley, John D.; circular chessboard tours in Variant Chess 1999.

Benjamin, Herbert Daniel (b. Ross-on-Wye 4 iii 1899 – d. Oxford 10 vii 1950); in Fairy Chess Review 1947–51.

Bennett, E.W.; in Fairy Chess Review 1947–52.

ben Othman; See Othman.

Benson, W.H. (with O. Jacoby); New Recreations with Magic Squares 1976.

Berg, E.J.

van den; See van den Berg.

Bergholt, Ernest; in Queen 1915–16, ms Memoranda on the Knight's Tour 1916–18, in British Chess Magazine 1918.

Berloquin, Pierre; Jeux et Paradoxes, Science et Vie 1979?, Manoeuvres de Cavalerie, Jeux et Strategie 1982.

Bertrand, L.; Developpement Nouveau de la Partie Elementaire des Mathematiques 1778.

Bessy, de = Frénicle.

Betts, Douglas A.; Chess, an Annotated Bibliography, 1974.

Beverley, William (probably William Roxby Beverley b. 1814 – d. 1889); in Philosophical Magazine 1848.

Bidev, Pavle; in FIDE Magazine 1964, Did Chess Originate in India or China 1986.

Bigelow, H.R.; see U.Papa, in Chess Amateur 1922.

Bilguer, von ; See von Bilguer

Billig, Eduard; Der Rösselsprung mit Variationen 1831.

Bingham, —; English edition of Ozanam's Recreations 1820.

Blanshard, Charles Thomas (b. Leeds 26 January 1852 – d. August 1924) in Chess Amateur 1923.

Blathy, O.T.; in Chess Amateur 1922.

Böcklin, C.; In Archiev der Math. 1889.

Bonsdorff, E.; see K.Fabel 1966.

'Bonus Socius'{Good Companion}; the name given to the compiler of the first large collection of mediaeval chess problems of which numerous manuscript copies survive, written over a long period (1250 - 1350). See Nicolas de Nicolai,

Bossut, — (with Lalande); Dizionario Enciclopedico delle Matematice 1800.

Bouvier, Charles (= 'Adsum'); in Le Siècle 1876, 1882, 1883.

Braadbaart, Bension Hela; De Paardensprung in het Schaakspel 1965, 1966.

Brede, Ferdinand Julius (b. 1800 – d. 1849); Almanach für Freunde vom Schachspiel 1844.

Brockhaus, F.A. (publisher); Der Pfennig-magazin der Gessellschaft 1834.

Brown, J.W.; in Notes & Queries 1919.

Browne, William Hand (b 1826 – d. 1912); Dictation Tours of the Chess Knight 1870.

Brügge, Joachim; in Die Schwalbe 1985, 1988.

Brunacci, (Prof.) Vicenzo; Compendio di Calcolo Sublime 1811.

Brunet, Georges Edouard Auguste (b. 1856 – d. 1900); Analysis Situs, Recherches sur Réseaux 1894.

Buni; See al-Buni.

« C

Caldwell, E.C.; in English Mechanic 1879.

Cairns, Grant; references in Mathematics Magazine 2002.

Cairo; ms c.1370 in former Khedival Library, Cairo, ref: Mustafa Pasha #8201, with three of the tours given by al-Baghdadi 1141.

Canel, A.; Recherches sur les Jeux d'Esprit 1867.

Carpenter, G.E.; in Brentano's Chess Monthly 1881.

Cashmore, M.; Chess Magic Squares 1908.

Cassani, F.; in Die Schwalbe 1931.

Castilho; See de Castilho.

'Célina' = Francony.

Celtic; ~700–800° Interlacing designs, some of which can be interpreted as king tours, are found in books and artefacts produced in monasteries of Ireland, Scotland and Northern England. In particular (in order of increasing complexity, not necessarily chronologically): panels of the Soicel Molaise book-shrine, horizontal borders of the eagle page of the Book of Dimma, a panel of the St Madoes stone, vertical borders of the lion page of the Book of Durrow and the knot design in the Book of Kells. The latter appears to illustrate a saying of Alcuin (735-804).

Cerchi, Teofrasto; Giuochi Fisici e Mateatici i Piu Belli Finora Immaginati ... 1817–18.

Chachi, Johannes, of Terni; 1511, ms #791 Casanatense Library, Rome, 4×8 tour.

Chambure; See de Chambure.

Chapais, —; Essais analytique ... 1777.

Charpentier, Jean Baptiste Alexandre; Du Jeu des Echecs 1844; Anciens et Nouveaux Jeux Géometriques 1849.

Chartres; Pavement labyrinth at the Cathedral of Notre Dame, Chartres ~1220.

China; the 3x3 diagonal magic square occurs in the I Ching, ~2200BC.

Ciccolini, Giuseppe; Il Nuovo Tesoro degli Scacchi 1827.

Ciccolini, Teodoro (Marchese di Guardiagrele); Del Cavallo degli Scacchi 1836.

'Civis Bononiae'{Citizen of Bologna}; The name given to the compiler of the second main collection of mediaeval chess problems; mss c.1450-1500. Like the earlier Bonus Socius collection this larger compilation also exists in numerous ms copies. The 4×8 tour is identical to one of the six Bonus Socius solutions.

Clausen, (Dr) T.; in Achiv der Math, und Phys. 1853.

Collini, Cosimo Alessandro (b. 1727 – d. 1806), (Private Secretary to Voltaire and to the Elector Palatine); in Journal Encyclopédique 1773, Solution du Problème du Cavalier 1773.

Collings, Stanley on 5-rank tours in Chessics last issue 1987.

Cook, E.B. (and other editors); American Chess Nuts 1868.

Coxeter, (Professor) Harold Scott Macdonald (b. 9 February 1907, d. Toronto 31 March 2003); W. W. Rouse Ball's Mathematical Recreations and Essays, 11th edition 1939; 12th 1974, 13th 1987.

Cozens, William Harold (b. Longstock 20 October 1911 – d. Taunton 16 July 1984); in Fairy Chess Review 1939, Mathematical Gazette 1940; FCR 1941, 1946, 1950–52; MG 1956; Chessics 1978.

Crétaine, A.C.; Etudes sur le Problème de la Marche du Cavalier 1865.

Crete; labyrinth occurs on Minoan coins ~1600BC.

Cross, Harold Holgate (b. Barton-on-Humber 20 April 1909 – d. 9 August 1962); in Fairy Chess Review 1941.

Cubison, W.M.; in Chess Monthly 1896.

« D

D—, J—.B—.; in Leisure Hour 1873.

Daidalos (Latinised: Daedalus); Minoan Labyrinth Builder, ~1600BC.

d'Alembert, Jean le Rond (b. 1717 – d. 1783); Encyclopédie 1751.

dalla Volpe, Lelio; Corsa del Cavallo... 1766.

Dalfsen; See van Dalfsen.

Dawson, (Miss) Dorothy R.; in Evening News 1932; in Fairy Chess Review 1936, 1939.

Dawson, Thomas Rayner (b. Leeds 28 November 1889 – Croydon 16 December 1951); in Chess Amateur 1909; in Cheltenham Examiner 1913; in Pittsburgh Gazette-Times 1917; CA 1922, 1928; in Evening News 1932; in Problemist Fairy Chess Supplement 1932–6; in Evening Standard 1933; in Congres Internationale de Recreation Mathematique 1935; in Fairy Chess Review 193651; in British Chess Magazine 1941.

de Castilho, Alexandre Magne (b. 1836 – d. 1874); Recueil ... du Cours de Mnémotechnie 1831.

de Chambure, Eugéne (b. 1813); Du Problème Relatif à la Marche du cavalier ... 1861.

'de Hijo, Paul' = (Abbé) Philippe Jolivald.

Dehornoy, Pierre Counting moves in knight's tours (Décompte des mouvements dans les tours de cavalier). Comptes Rendus Académie des Sciences Paris Ser. I 336 (2003) 543-548.

de Lavernède: See Thomas-de-Lavernède.

della Mantia; see Gianutio 1597

de Mairan, Jean-Jacques d'Ortous (Directeur de l'Academie Royale des Sciences); in Ozanam 1725.

de Moivre, Abraham (b. 1666 – d. 1754); in Ozanam's Recreations 1725.

de Montmort, Pierre Rémond (b. 1678 – d. 1719); in Ozanam's Recreations 1725.

de Poilly, Jules; in Le Palamède 1844.

de Stchoulepnikoff, (Rev) Serge; ms Twenty solutions of the Problem of the Knight's Tour 1865; ms Numerate Tables of all Symmetric Tours Arranged with Quarts... 1885.

de Vasa, Helge Emanuel; in Fairy Chess Review 1951, 54–5; see Willcocks 1962.

d'Hooghe, G.; Les Secrets du Cavalier 1962.

Dickins, Anthony Stewart Mackay (b. Bath 1 November 1914 – d. Kew 25 November 1987); A Guide to Fairy Chess 1967; in Chessics 1978, 1987.

Diderot, Denis (b. 1713 – d. 1784); Encyclopédie 1751.

Dignal, F.; in Problemist Fairy Chess Supplement 1933–4.

Dollinger, Joseph; Ein Hundert ... End-Spiele. Dann vier und zwanzig verschiedene Arten den Springer 1806.

Douglas, F.; in Chess Amateur 1922, 1928; in Problemist Fairy Chess Supplement 1932–4.

Drach, S.M.; in Philosophical Magazine 1848. Footnote to Beverley's tour.

Dresden; ms, c.1400, which gives the half tour problem without solution and sets as a wager game a tour over a board of 4×4 squares.

Duby, J. J.; Un Algorithme Graphique Trouvant Tous Circuits Hamiltoniene d'un Graphe 1964. First enumeration of all closed 6×6 knight tours.

Dudeney, Henry Ernest (b. Mayfield 10 April 1857 – d. Lewes 24 April 1930); in Tribune 1906; Amusements in Mathematics 1917.

Durand, (L'Abbé); Géneralisation Complète du Problème d'Euler ... 1856, 1862.

« E

Egan, Pierce (b. 1772 – d. 1849); Sport Anecdotes 1820.

Eggleton, Roger B.; in Ars Combinatoria 1984.

Eid, Abdul; in Ars Combinatoria 1984.

Eperson, Donald Patterns in Mathematics 1988.

Erlebach, J.; in Math. Mussestunden 13th edition 1967.

Errera, M. A.; in L'Echiquier 1925.

Eschwege, H.; The Knight's Tour in a Continuous and Uninterrupted Ride over 48 Boards ... 1896.

Euler, Leonhard (b. 1707 – d. 1783); Letter to C. Goldbach 1757; Solution d'une Question Curieuse qui ne Paroit Soumise a Aucune Analyse 1759; Commentationes Arithmeticae Collectae (edited by P.H. von Fuss and N. von Fuss) 1849; Opera Omnia 1923.

Exner, (Dr), ; Rösselsprung als Zauberquadrat 1876.

« F

Fabel, (Dr) Karl; in Schach und Zahl {Chess and Number} by E. Bonsdorff, K. Fabel and O. Riihimaa 1978

Falkener, Edward (b. London 28 ii 1814 – d. Carmarthen 17 xii 1896); Games Ancient and Oriental 1892.

Feisthamel, M.A.; in Le Siecle 1880–84.

Fisher, John; The Magic of Lewis Carroll 1973.

Fitting, Friedrich (b.1862); in Z. für Math. und Physik 1900; in Archiv der Math. und Physik 1902; Das Rösselsprungproblem in Neuer Behandlung 1904; in Schubert's Mathematische Mussesstunden 4th edition 1924, 6th 1940, 10th 1943, 11th 1953.

Florence; c.1490 Italian ms, end of 15th century, has a 4×8 tour.

Flye Sainte-Marie, C.; (Répétiteur à l'Ecole Poly- technique; according to Lucas 1894); in Bull Soc. Math. France 1877; in L'Intermédiaire des Mathématiciens 1904.

Fontana, Giorgio; Opuscoli Matematici ... 1789.

Forbes, Duncan (b. Kinnaird 28 April 1798 – d. 17 August 1868) (Professor of Oriental Languages, King's College, London 1837–61; Catalogued British Museum Persian mss); History of Chess 1860.

Francony, Edouard, (= 'Célina'); in Le Siècle 1881–83.

Franz, R.; in Schachzeitung 1847.

Fraser, Alexander; in British Chess Magazine 1911.

French, R. J.; in Problemist Fairy Chess Supplement 1934; in Fairy Chess Review 1939, 1941.

Frénicle de Bessy, B. (d.1675); Table Générale des Quarrés Magiques de Quatre 1693.

Fritsche, Hugo; Brett oder Rösselsprungspiel ... Patentschrift 179770, 18 December 1906.

Frolow, Mikhail; Le Problème d'Euler et Carrés Magiques 1884; Les Carrés Magiques 1886.

Frost, Andrew Hollingworth; in Quarterly Journal of Mathematics 1876–77; Magic Squares in Encyclopaedia Britannica 1883; also in Frolow 1886.

Frost, Percival (b. 1817 – d. 1898); in Quarterly Journal of Mathematics 1876.

Fuhlendorf, G.; in Problemist Fairy Chess Supplement 1932, in Fairy Chess Review 1937.

Funk, J. E.; in Fairy Chess Review 1940.

Fuss; see von Fuss.

« G

Gardner, Martin (b. Tulsa 1914); in Scientific American October 1967.

Gasbarri, —; Raccolta di Venticinque Nuovi Problemi di Scacchi ... 1836.

Geynet, —; in Academie des Sciences, Paris 1865.

Ghersi, (Ing.) Italo; Matematica Dilettevole e Curiosa 1921.

Gianutio della Mantia, Orazio; Libro nel quale si tratta della maniera di giuocar a Scacchi, con alcuni sottilissimi partiti, nuovamente composto, Antonio de Bianchi, Torino, 1597. Has one 4×8 tour.

Gibbins, Norman Martin (b. Brighton 15 October 1882); in Mathematical Gazette 1944; in Fairy Chess Review 1944.

Gik, Evgeny (or Yevgeny) Yakovlevich; Matematika na Shakhmatnoy Doske 1976; Shakhmatnye Dosugi 1979; Zanimatel'nye Matematicheskie Igry 1982; Shakhmatny i Matematika 1983.

Gilbert, Grove Karl (1843 – 1918); in Phil. Soc. Washington 1884.

Gizycki, Jerzy; 1987.

Glaszer, (Prof.) Christian Flamin Heinrich August; Abhandlung über dem Gang eines Springers auf dem Schachbrette 1841.

Golomb, Solomon, W.; in Journal of Recreational Mathematics 1968, 1993.

Gorgias, Victor; in Dubuque Chess Journal 1871; in Gentleman's Journal 1871.

Goulieux, (Mlle.) Stella; in La Strategie 1899.

Grandin, (Prof.) —; (Collège de Navarre) editor of editions of Ozanam's Recreations 1820, 1825, 1835.

Grigis, A. L'indice d'un tour de cavalier. Comptes Rendus Académie des Sciences Paris Ser. I 335 (12) 989-992 (2002?).

Grimstone, Clive (b. London 24 ix 1950 – d. London 21 iv 1986); in Chessics 1983.

Grossetaite, —; An 8x8 magic knight's tour, in Figaro 1896.

Guarini di Forli, Paulo (= Paulus Guarinus) (d. 1520) ms 1512 in Cleveland Library, contains the Civis Bononiae tour, and the al-Adli problem of interchanging the two black and two white knights on a 3×3 board.

Gullberg, Jan Mathematics from the Birth of Numbers 1997.

Guyot, Edmé Gilles; Nouvelles Récréations Physiques et Mathématiques ... 1769 (translations: Neue physikalische und mathematische belustigungen ... 1772; Giuoci Fisici e matematici ... 1881).

« H

H—, F—. P—.; Appendix to Studies of Chess (editor P. Pratt), 6th edition 1825.

Haberlandt, Michael (b.1860); Der altindische geist ... 1887.

Haddy, Albert H. (b. 1900 – d. 24 December 1971); in Problemist Fairy Chess Supplement 1932-3; in Fairy Chess Review 1944

Hakim; See al-Hakim.

Haldeman, Samuel Stehman (b. 1812 – d. 1880); Prodromus: Bibliography of Chess Knight's Tour 1864; Tours of a Chess Knight 1864.

Hall, (Dr) Sidney Herbert (b. Carlisle 4 July 1871 – d. Brentwood 23 December 1947); in Problemist Fairy Chess Supplement 1935–6; in Fairy Chess Review 1937–9.

Hamilton, (Sir) William Rowan (b. Dublin 4 August 1805 – d. 2 September 1865); 1856, 1857.

Hansson, Frans (b. 25 September 1887 – d. 28 August 1968); in Problemist Fairy Chess Supplement 1932; in Fairy Chess Review 1938–40, 45, 48.

Hanstein, W. (b. 1811 – d. 1850); in Schachzeitung 1849.

'Harding, (Mrs) E. M.' = T.R.Dawson; in Fairy Chess Review 1950.

Harikrishna Sharma Jyotishacharya, (Pandit); ms 1871.

Héraud, Auguste (1832 – 1885); Jeux et Récréations Scientifiques ... 1884, 1893.

Herma, A.; Rösselsprünge aus deutsche Dichtern ... 1849?, 1889.

Hersom, D. H.; in Fairy Chess Review 1932.

Hertzsprung, S.; in Brentano's Chess Monthly 1881.

'Hijo, Paul de' = (Abbé) Philippe Jolivald.

Hoenigman, Rebecca L. with J. J. Watkins in Mathematics Magazine 1997.

'Hoffmann, (Prof.) Louis' = (Rev) Angelo John Lewis; Puzzles Old and New 1893.

Hofmann, Fritz; in Nouvelles Annals de Math. 1886.

Hofmann, Joseph Ehrenfried; Uber Rösselringe auf dem Brett von 6² Zellen (edited by C. J. Scriba), Elemente der Mathematik, 1988.

Hogrefe, (Dr.) M.; Weser Zeitung 13 July 1924.

Hooghe, G. d'; See d'Hooghe.

Hooper, David (with K.Whyld); Oxford Companion to Chess 1984.

Houlston and Hughes (publishers); The Knight Crusader's Games ... 1840.

Houston, Alasdair Iain (b. Dingwall 17 April 1952); in Chessics 1985.

Huber-Stockar, Emile (d. 9 May 1939 - Chief Electrical Engineer on Swiss Railways); in Congres International de Recreation Mathematique 1935; in Fairy Chess Review 1938–45. [obituary FCR June 1939 p.200]

Hunter, J. A. H; Mathematical Diversions. Journal of Recreational Mathematics 1969.

Hurst, Samuel Bertram Haworth (b.1876); The Governor's Secretary ... 1931.

Hutton, Charles (b. Newcastle-on-Tyne 14 August 1737 – d. Charlton 27 January 1823) (Professor of Mathematics, Royal Academy Woolwich 1773); English editions of Ozanam's Recreations 1803, 1814.

« I

Ingram, J. G.; in Fairy Chess Review 1939.

Ingram, R. E.; 1931, see Hamilton 1856.

Inwards, R.; ms in Koninklijke Bibliotheek 1925?

Irwin, A. M. B.; in Notes & Queries 1919.

Iyer, L. R. Ramachandra; in Indian Antiquary 1923.

Iyer, S. R.; Indian Chess 1982.

« J

Jackson, D. E.; in Journal of Recreational Mathematics 1993.

Jacobi, H.; in Zeitschrift der Morgenlandischen Gessellschaft 1896.

Jacobs, Walter; in Problemist Fairy Chess Supplement 1933.

Jacoby, Oswald (with W. H. Benson); New Recreations with Magic Squares 1976.

Jaenisch, Carl Friedrich Andreyevich (also von J or de J or Yanich) (b. 1813 – d. St Petersburg 17 iii 1872); in Chess Monthly 1859; Traité des Applications de l'Analyse Mathématique au Jeu des Echecs 1862.

Janot, Denis (printer); Paris 1530-40. Sensuit Jeux Partis des Eschez: Composez nouvellement Pour recréer tous nobles cueurs et pour eviter oysiveté a ceulx qui ont voulenté: desir et affection de le scavoir et aprendre et est appelé ce Livre, le jeu des Princes et Damoisellles. Contains the first printed tour; same as Civis Bononiae [Vienna Library MUS II #195]

Jelliss, George Peter (b. Woolwich, 8 February 1940); in Chessics 1976–81, 84–86; in Problemist 1978; in Games and Puzzles Journal 1987–89; in Math. Spectrum 1992; in Journal of Recreational Mathematics 1994.

Jolivald, (Abbé) Philippe (= 'Paul de Hijo') (b.1843); Le Problème du Cavalier ... 1882.

Jordan, C.; Palermo Rendiconti 1888.

« K

Käfer, Victor; Vollständige anweisung zum schachspiel ... 1842

Kempelen, Farkas, also known as Wolfgang von K- or de K- (b. 1734 – d. 1804); see Willis 1821.

King's Library (British Museum) manuscript c.1275 in Anglo-French, containing two tours, one 4×8 identical to one of the Bonus Socius solutions, and one 8×8 formed of two 4×8 tours joined together.

Kniest, Albert Heinrich (b. 15 May 1908 – d. 8 November 1984); in Problemist Fairy Chess Supplement 1933.

Knuth, (Prof.) Donald Ervin; in Journal of Recreational Mathematics 1969; personal communications 1992; in Mathematcal Gazette 1994?

Kowalewski, Gerhard Waldemar Hermann (b.1876); Alte und Neue math. Spiele ... 1930.

Kraitchik, Maurice (b.1882, d.1957); in L'Echiquier 1926–7; Le Problème du Cavalier 1927; La Mathématique des Jeux 1930; in Sphinx (editor) 1931; in Congres Internationale de Recreation Mathematique (editor) 1935; Mathematical Recreations 1942, 1949, 1953.

Kürschak, J.; 1926 (see Nash-Williams)

« L

Labelle, Jacques; Discrete Applied Maths 1989.

Laing, Lloyd and Jennifer, Art of the Celts 1992.

Laisement; see Ballière de Laisement 1782.

Lala Raja Babu (I'm not sure if Lala Raja are names or a title) Mo'allim ul Shatranj 1901.

Lalande, — (with Bossut); Dizionario ... 1800

Lamarle, —; Academie Royale Belgique 1852.

Lange, E.; in Lehmann 1932; in Sphinx 1932–3.

Lange, Max (b. 1832 – d. 1899); Lehrbuch 1856, 1871; Thon's Meister im Schachspiel ... 1863.

Langstaff, W.; in Fairy Chess Review 1943–4.

Lapierre, A.; in Fairy Chess Review 1939.

Laquière, Emmanuel M.; Géométrie de l'Echiquier ... 1880, 1881.

Lasa, T von der; See von der Lasa.

Lauber, G.; Aufklärung von Schachgeheimnissen 1878.

Lavernède, de: see Thomas-de-Lavernède.

Leathem, George; in Fairy Chess Review 1939.

Legendre, Adrien Marie (b. 1752 – d. 1833); Théorie des Nombres 1830.

Lehmann, Max Bruno; Der Geometrische Aufbau Gleichsummiger Zahlenfiguren 1932; An 8x8 magic knight's tour in Sphinx 1933.

le Lionnais, Francois; (with E. Maget) 1967.

Leonhardt, N. F.; Handbuch fur angehende Schachspieler 1857.

Lester, W. E.; in Problemist Fairy Chess Supplement 1932, in Fairy Chess Review 1937–8.

Lewis, (Rev) Angelo John; see 'Hoffmann' 1893.

Ligondès, (Count) (= 'Palamède'); Polygraphie du Cavalier 1874; in Le Siècle 1880–84; Polygraphie ... Appliquée a ... Carrés Magiques 1884, 1906, 1910, 1911.

Linde, van der; See van der Linde.

Lionnais; See le Lionnais.

Litmanowicz, W. Ladyslaw; 1987.

Locock, C. D.; in Pittsburgh Gazette-Times 1917.

Loyd, Sam(uel) (b. Philadelphia 30 January 1841 – d. Elizabeth NJ 10 April 1911); in Sphinx 1867; in American Chess Nuts 1868; Chess Strategy 1878; in Tit Bits 1897.

Lucas, François Edouard Anatole (b. 1842 – d. 3 October 1891); in Revue Scientifique 22 September 1882; Nouveaux Jeux Scientifiques 1889; Théorie des Nombres 1891; Récréations Mathématiques (vol.4) 1894 (vol.3, pp.v-vii reported: Edouard Lucas succombait, dans toute la force de son talent, aux atteintes d'une courte et terrible maladie. Cette morte prématurée — il n'était àgé que de quarante-neuf ans — laissait un grand vide dans la Science, en meme temps qu'elle frappait de stupeur ses nombreux amis.); L'Arithmétique Amusante 1895.

Luke, Dorman; in Recreational Mathematics Magazine 1962.

« M

Madachy, Joseph S.; Mathematical Diversions 1963; Mathematics on Vacation 1966.

Maelzel, Johann Nepomuk; see Willis 1821.

Magee, J. F. edsitor The Good Companions Chess Problem Club Folders 1917.

Maget, Ernst; (with F. le Lionnais) 1967.

Mairan, Jean-Jacques d'Ortous de; See de Mairan.

Mani, Ali ibn; in al-Hakim ms ~1350.

Mann (Jr), G.; 120 neue Rösselsprünge ... 1859.

Manning, W.; ms ~1850.

Mannke, W.J.; in Journal of Recreational Mathematics 1968.

Mansion, —; Nouv. Corr. Mathém. 1876.

Mantia, della; see Gianutio 1597

Marlow, Thomas W.; in Chessics 1981, 83, 87; in Games and Puzzles Journal 1987; in Problemist 1988 (Five new 8x8 magic knght's tours).

Mason, William; Good Companions 1917.

Matsuda, M.; in Journal of Recreational Mathematics 1969.

Mattey, J.R.; in Chess Amateur 1909.

Mauvillon, Friedrich Wilhelm von (1774 - 1851); 1827. [K.Whyld, e-mail 2002]

McCoy, J. C.; Scripta Mathematica 1946.

McGuffey, G. E.; in Fairy Chess Review 1937 (a cryptotour).

Mercklein, — (Professeur de Sciences Appliquées a l'Ecole Imperiale d'Artillerie de Douai); Memoirs de la Société Inpériale d'Agriculture, de Science et d'Arts séant à Douai 1863; in Le Sphinx 1866.

Merson, Robin, H. (b. 1914); Games and Puzzles magazine 1973; personal communication 1990; in Games and Puzzles Journal 1999.

Meyer, Heinrich; in Leisure Hour 1873.

Miles, John Augustus (b. 4 December 1817 – d. 23 July 1891); Poems and Problems 1882; in British Chess Magazine 1884.

Minding, Ferdinand; in Bulletin de l'Acad. Sci. St Petersburg 1847; in Cambridge and Dublin Math. Journal 1852; in Crelle's Journal 1852.

Moivre, Abraham de; See de Moivre.

Mollweide, Carolus Brandanus (or Carl Brandan); Dissertationis Mathematicae de Quadratis Magicis 1816; in Klugel's Mathemat. Wörterbuch 1823.

Monneron, —; Nouveau Dictionaire, Paris, 1776.

Montferrier, —; Dictionnaire des Sciences Mathématiques, vol.I, p.489, 1778.

Montmort, Pierre Rémond de; See de Montmort.

Montucla, Jean Etienne; editor of editions of Ozanam's Recreations, 1750, 1778, 1790,

Moon, (Rev) R.; in Cambridge Math. Journal 1843.

Moore, G. L.; ms 1920.

Muhammad-Khan, Shir; Sardarnama 1798.

Müllner, — von; See von Müllner.

Murray, Harold James Ruthven (b. 24 June 1868 – d. Midhurst 16 May 1955); in British Chess Magazine 1902, 1911; History of Chess 1913; in BCM 1917; ms Early History of the Knight's Tour 1930; in PFCS/FCR 1936–7, 1940; ms The Knight's Problem 1942; in FCR 1942, 1949; in BCM 1949; ms The Magic Knight's Tours 1951; other mss 1955.

Mysore, (Rajah of); see Wadiar.

« N

Nadim; See an-Nadim.

Naidu, Sammete Rangiah; Feats in Chess 1922.

Nami of Gizerat; Commentary on Rudrata 1069.

Nash-Williams, C. St.J. A.; in Proceedings of the Cambridge Philosophical Society 1959.

Neal, T. H.; in Chess Amateur 1908.

Nicolas de Nicolai; c.1250. Scribe of one of the Bonus Socius manuscripts, a scholar from Picardy who studied and lectured at the Lombard Universities. The knight's tour problem is presented on a 4×8 board in which a knight is to capture the other 31 chessmen in a given sequence. The sequence of capture of the pawns is not fully determined, allowing six different tours.

Nilakant-ha, Bhatta; Bhagavantabaskara: see Monneron 1776.

Nivernais, Ernest; 1868.

Nixon, Dennison (b. 13 December 1912 – d. Middlesbrough 11 September 1993); in Fairy Chess Review 1946, 1952.

« O

Okunev, L.; Kombinatornye Zadachi ia Schachmatno ... 1935.

Onitiu, Valeriu; in Problemist Fairy Chess Supplement 1932; in Fairy Chess Review 1939–40.

Oppen; See von Oppen.

Othman, Muhammad ben Hawa ben; 1221, manuscript, has the second as-Suli tour.

Ozanam, Jacques (b. Brescia 1640 – d. Paris 3 April 1717); Recreations Mathematiques et Physiques 1725.

« P

'Palamède' = Ligondès.

Papa, (Colonel) Ugo; in La Scienze per Tutti 15 August 1920; in Chess Amateur 1922.

Parmentier, (General) Théodore (b. 1821 – d. 1910); in Association Française pour l'Avancement des Sciences, Congres 1891, 1892, 1894.

Pauly, Wolfgang; in L'Echiquier 1930.

Pearson, (Rev) Arthur Cyril (b. Springfield 9 January 1838 – d. St Leonards-on-Sea 8 November 1916); Twentieth Century Standard Puzzle Book 1907, 1915.

Pennick, Nigel; Mazes and Labyrinths 1990.

Perenyi, —; 1842.

Perigal; Henry; see Beverley 1848

Pickover, Clifford A.; The Zen of Magic Squares, Circles and Cubes 2002.

Planck, (Dr) Charles (b. Dhiapore 1 November 1856 – d. Haywards Heath 18 June 1935); Theory of Path Nasiks 1905; in Chess Amateur 1907-10.

Plödtiels, Ignaz; ms Versuch einer allgemeinen Lösung des Rösserlsprunges ... 1834.

Poirson-Prugneaux, Q.; Introduction Pratique du Jeu des Echecs 1849.

Poilly; See de Poilly.

Polignac, C.; Comptes Rendus Acad. Sci. Paris 1861; Bull. Soc. Math. France 1881.

Pollard, T. G.; in Fairy Chess Review 1945-7, 1950.

Pongracz, Arnold (Graf zu Balassa Gyarmath); in Schachzeitung? 1855.

Ponziani, Domenico Lorenzo (b. 1719 – d. 1796); Il Giuoco Incomparabile degl Scacchi (1st edition Modena 1769) Rome edition 1829.

Price, B. D.; in Mathematical Gazette 1956.

Pruen, —; Introduction ... 1804.

« Q

Quignano, Anselmo T.; Saltes del Caballo ... 1853.

« R

Rädell, (Dr) Carl; in Schachzeitung 1848; Mathematische Schachfragen 1863-64.

Ravenna; labyrinth design ~530.

Read, R. C.; in Eureka 1959.

Régnier, A; in Les Mondes 1874.

Reid, M.; in Journal of Recreational Mathematics 1993.

Reilly, William Henry (b. Salford 5 October 1892); in Problemist Fairy Chess Supplement 1935, in Fairy Chess Review 1939, 1948.

Reuss, C.E.; in Le Siècle 1883.

Richmond, Paul; An Annotated International Bibliography of Chess Articles in Non-Chess English-Language Periodicals 1975.

Riddle, Edward (b. Troughend 1788 – d. Greenwich 31 March 1854); editor of English editions of Ozanam's Recreations 1840, 1854.

Rilly, A.; Le Problème du Cavalier 1905.

Rixey, Fred; Jumblegrams 1927.

Roget, Peter Mark (Secretary of the Royal Society for 20 years) (b. Soho, London 18 January 1779 – d. West Malvern 12 September 1869); in Philosophical Magazine 1840.

Rothe, (Prof), —; see Glaszer 1841.

Rouse Ball; see Ball.

Rowland, Frideswide F.; Chess Fruits 1884.

Rowland, Thomas B. (b. 1 June 1850 – d. 1926); Chess Fruits 1884.

Royal Asiatic Society Library; see Ala'addin.

Rudrata, Kashmirian poet, ascribed to the reign of Sankaravarman, 884-903, gave in Kavyalankara rook, elephant and knight tours of the 4×8 board. Commentary by Nami of Guzerat 1069. Analysis by H. Jacobi 1896.

Ruemmler, R. E.; in Journal of Recreational Mathematics 1969.

« S

Sainte-Marie, C. Flye (Répétiteur à l'Ecole Poly- technique; according to Lucas 1894); in Bull Soc. Math. France 1877; and in L'Intermédiaire des Mathématiciens 1904.

Scotland, Will = 'Alban'.

Scheidius, T.; in Sissa 1850.

Schinnern; See von Schinnern.

Schubert, (Prof. Dr.) Hermann Caesar Hannibal; in Monist 1892; Zwölf Geduldspiel 1899; Mathematische Mussestunden 1898, 2nd edn 1904, 3rd 1909.

Schuh, Fred; Wonderlijke Problemen ... 1943; Master Book of Math. Recreations 1968.

Schwenk, Allen J.; in Mathematics Magazine 1991.

Scriba, C. J.; see J. E. Hofmann 1988.

Secker, Jexon, J.; in Chessics 1978, 79.

Sharp, Archibald; Linaludo 1925.

Sherwood, Jones & Co (publishers); The Youth's Miscellany of Knowledge and Entertainment 1823.

Silberschmidt, H.; in Das Gambit 1829.

Simonot, Edmé; Le Polygraphile Déscrit par son Inventeur 1872, 1882; in Strategy 1872.

Singmaster, (Prof.) David; Enumerating Unlabelled Hamiltonian Crcuits 1975; Sources in Recreational Mathematics, 5th preliminary edition 1991.

'Slyvons, Edmond' (E. S. A. L. Solvyns); Application de l'Analyse aux Sauts du Cavalier du Jeux des Echecs 1856.

Smook, Roger W.; in Chessics 1985.

Solvyns, E. S. A. L.: see Slyvons.

Somesvara III, Manasollasa {Delight of the Intelligent} c.1150, contains an edge-hugging tour.

Sprague, T. B.; in Edinburgh Math Soc. 1891.

Stamma, Philip; Essai sur le Jeu des Echecs (1st edition 1737) Hamburg edition 1770.

Staunton, Howard (b. 1810 – d. London 22 June 1874); column in Illustrated London News 1870–74.

Stchoulepnikoff; See de Stchoulepnikoff.

Stead, W.; in Fairy Chess Review 1954.

Stein, Elias (b. 1748 – d. 1812); Manuel de l'Amateur de Jeu des Echecs... 1850?

Stenzler, Adolf Friedrich (b. 1807 – d. 1887); Uber Nilakant-ha's Rösselsprung 1874.

Stewart, I.; in Journal of Recreational Mathematics 1971.

Stone, D. J. W.; On the Knight's Tour Problem, Solution by Graph-Theoretic Methods 1969.

Stowell, T. P.; Problem Relative to the Move of the Knight at the Game of Chess 1879.

Suli; See as-Suli.

Sunyer, J.; in Fairy Chess Review 1943.

Svanberg, (Prof) A. F.; in Schachzeitung 1849.

Syamakisora, —; Risala i Shatranj 1885.

« T

Tabrizi: see Ala'addin.

Tarry, (M.), —; in Les Mondes 1872.

Taylor, P. C.; in Problemist Fairy Chess Supplement 1932; in Fairy Chess Review 1938–40, 1944.

Temple, R. C.; in Indian Antiquary 1923.

Tenac; See van Tenac.

Terquem et Gerono (publishers); Sur le Problème du Cavalier au Jeu des Echecs, Nouvelles Annales de Mathématiques 1854.

Thomas de Lavernède, J. E.; in Mémoires de l'Academie Royale du Gard de Nimes 1839.

Thon, Christian Friedrich Gottfried (b. 1773 – d. 1844); Thon's Meister im Schachspiel (edited by Max Lange) 1863.

Tomlinson, Charles (b. London 27 November 1808 – d. Highgate, London 15 February 1897); in Saturday Magazine 1841; Amusements in Chess 1845.

Tope, Vinyaka Rajarama; Buddhibalakrida 1893.

Tramblay, A. (publisher) Cosmos... 1862.

Trigg, C.; in Journal of Recreational Mathematics 1970.

Troupenas, E.; in Le Palaméde 1842.

Twiss, Richard (b. Rotterdam 26 April 1747 – d. Somers Town, London 5 March 1821); Chess 1787, 1789.

Tylor, Christopher Max Bazett (b. Dartmouth 16 August 1932); in Chessics 1976, 78, 82.

Tychsen, C.; in Tidskrift for Mathematik 1865.

« U

« V

Valtorta, M.; in Journal of Recreational Mathematics 1993.

van Dalfsen, P. B.; in Fairy Chess Review 1951, 1953.

van den Berg, E.J.; in Problemist Fairy Chess Supplement 1932.

van der Linde, (Dr) Antonius (b. 1833 – d. 1897); Geschichte und Litteratur des Schachspiels 1974; Quellenstudien zur Geschichte des Schachspiels 1881.

Vandermonde, Alexandre-Théophile (b. 1735 – d. 1796); Remarques sur les Problemes de Situation, Memoires de l'Academie des Sciences 1771.

van Tenac, Charles; Traités Illustrés des Jeux des Echecs ... 1870?

Vasa; See de Vasa.

Vatriquant, S.; in L'Echiquier 1929.

Vazsonyi, —; (cited by Nash-Williams) 1938.

Vencélidès, C.: see Wenzelides.

Vinje, O. E.; in Fairy Chess Review 1940–41.

Volpe; See dalla Volpe.

Volpicelli, Paolo (b. 1804 – d. 1879); Solution d'une Problème de Situation Relatif au Cavalier des Echecs, Acad Sci Paris 1850; Solution Compléte ... Acad Sci Paris 1872; Soluzione Completa ... Academia de Lincei 1872; Résponse aux Critiques ... Les Mondes 1874.

von Bilguer, (Lieut) Paul Rudolph (b. 1815 – d. 1840); Handbuch des Schachspiels. 1st edition 1843.

von der Lasa, (Baron) Tassilo (von Heydebrand und) (b. 1808 – d. 1899); in Schachzeitung 1846, 1862.

von Fuss, N.; see von Fuss, P.

von Fuss, Paul Heinrich; Correspondance Mathématique et Physique de Quelques Célèbres Géomètres ... 1843; (with N. von Fuss) Euler's Commentationes Arithmeticae Collectae 1849.

von Mauvillon, Friedrich Wilhelm (1774 - 1851); 1827. [K.Whyld, e-mail 2002]

von Müllner, —; in Literatur-Blatt 1824; in Algemeiner Lit. Zeitung 1825; in Schachzeitung 1858.

von Oppen, O—.; in Schachzeitung 1858.

von Schinnern, Clemens Rudolph Ritter; Ein Dutzend mathematischer Betrachtungen 1826.

von Warnsdorf, H. C.; Des Rösselsprunges einfachste und allgeneinste Lösung 1823; in Schachzeitung 1858.

von Windisch, Karl Gottlieb; 1773, 1780, German editions 1783, English edition 1819.

Vyasa, Ambikadatta; Chaturanga Chaturi 1884.

« W

W—, (Chevalier); (Capitaine au Régiment de Kinski, Dragons, au Service de l'Impératrice-Reine); in Journal Encyclopedique 1773.

Wadiar, Krishnaraj (Rajah of Mysore) (b. 1790 – d. 1868); Silk 1852; see also Harikrishna 1871 and Iyer 1982.

Walker, George (b. London March 1803 – d. 23 April 1879); New Treatise on Chess 1832; in Frazer's Magazine 1840; in Philosophical Magazine 1840; in Polytechnical Journal 1840; in Chess Player's Chronicle 1844.

Warnsdorf, H. C. von; Des Rösselsprunges einfachste und allgeneinste Lösung 1823; in Schachzeitung 1858.

Watkins, John J. with R. L. Hoenigman in Mathematics Magazine 1997; and in Congr. Numer. 2000. Knight's tours on cylinder.

Weber, A.; in Monatsbericht der Königlichen Akademie der Wissenschaften zu Berlin 1873.

Welch, Lloyd R.; in S. W. Golomb, Journal of Recreational Mathematics 1968.

Wells, David The Penguin Book of Curious and Interesting Puzzles 1992.

Wenzelides, Carl (or Vencélidès, Karl) (b. Troppau (now Opava) September 1770 – d. Nikolsburg (now Mikulov) 6 May 1852); in Schachzeitung 1849–51, 1858.

White, Alain Campbell (b. 1880 – d. 1951); Sam Loyd and his Chess Problems 1913; Good Companions 1917; in Fairy Chess Review 1945.

White, John Griswold (b. 1845 – d. 1928); Chess Collection in Cleveland Library, Ohio.

Whyld, Kenneth (b. 6 March 1926 – d. 11 July 2003, Caistor Lincolnshire) (with D. Hooper); Oxford Companion to Chess 1984.

Wieber, Reinhard (Richard?); Das Schachspiel in der arabischen Literatur ... 1972.

Wihnyk, Maxwell; Deutsche Schachzeitung 1885.

Wijker, A.; in Fairy Chess Review 1939, 1951, 1953.

Willcocks, Theophilus Harding (b. Newquay 19 April 1912); in Fairy Chess Review 1944, 1954–5; in Recreational Mathematics Magazine 1962; in Journal of Recreational Mathematics 1968; in Chessics 1976, 78, 85–6; in Games and Puzzles Journal 1989.

Willis, Robert (Professor of Applied Mechanics, Cambridge 1837) (b. London 27 February 1800 – d. Cambridge 28 February 1875); An Attempt to Analyse the Automaton Chess Player ... 1821.

Windisch, Karl Gottlieb von; 1773, 1780, German editions 1783, English edition 1819.

Wolf, Rudolph (b. 1816 – d. 1893); Studie über den Rösselsprung 1894.

« X

« Y

Yarbrough, L. D.; in Journal of Recreational Mathematics 1968.

Yeh, Yeong-Nan; Discrete Applied Maths 1989.

Ylikarjula, S.; in Chessics 1982.

« Z

Zahid, M. I.; in Journal of Recreational Mathematics 1993.

Zuckermandel, Christoph Wilhelm (b. 1767 – d. 1839); Regeln nach denen Zauberquadrate ... 1838.

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