Epstein Files Full PDF

CLICK HERE
Technopedia Center
PMB University Brochure
Faculty of Engineering and Computer Science
S1 Informatics S1 Information Systems S1 Information Technology S1 Computer Engineering S1 Electrical Engineering S1 Civil Engineering

faculty of Economics and Business
S1 Management S1 Accountancy

Faculty of Letters and Educational Sciences
S1 English literature S1 English language education S1 Mathematics education S1 Sports Education
teknopedia

  • Registerasi
  • Brosur UTI
  • Kip Scholarship Information
  • Performance
Flag Counter
  1. World Encyclopedia
  2. Morphy number - Wikipedia
Morphy number - Wikipedia
From Wikipedia, the free encyclopedia
(Redirected from Morphy Number)
Connection distance to Paul Morphy
This article contains a list of miscellaneous information. Please help improve it by relocating relevant information into other sections or articles. (January 2021)
Paul Morphy

The Morphy number is a measure of how closely a chess player is connected to Paul Morphy (1837–1884) by way of playing chess games.[1]

Morphy and Löwenthal

Description

[edit]

People who played a chess game with Morphy have a Morphy number of 1. Players who did not play Morphy but played someone with a Morphy number of 1 have a Morphy number of 2. People who played someone with a Morphy number of 2 have a Morphy number of 3, et cetera.

As of October 2019[update], there are very few known living players with Morphy number 3. Many ordinary players have a Morphy number of 6 or more.[2]

The idea is similar to the Erdős number for mathematicians, the Bacon number for actors, and the Shusaku number, the equivalent for the board game of Go.

Origin

[edit]

Taylor Kingston states that the idea of the Morphy number may have originated in a June 2000 note by Tim Krabbé, who has Morphy number 4. Krabbé wrote "I once played an official game with Euwe, who played Tarrasch, who played Paulsen, who played Morphy."[2][3]

Morphy number of famous players

[edit]

These are players who are important in making links for Morphy numbers.

Morphy number 1

[edit]

Morphy is known to have played about 100 people, but prior to 2010 all of the known links for players with Morphy number 2 went through just four players.[1][4] A few years after the early lists of Morphy numbers tabulated, it was discovered that a fifth player, James Mortimer, was Morphy's friend and played casual games with him. This gives Mortimer a Morphy number of 1, creating a need to drastically revise those previous lists to include many more players.[4][5] Mortimer had a very long, if not particularly successful, career, including the Ostende-B 1907 tournament, which enabled many famous younger players to gain a Morphy number of 2, including Mieses, Tartakower, Znosko-Borovsky, and Bernstein, who played beyond WW2, enabling still younger players to gain a Morphy number of 3, and so on.

  • Adolf Anderssen
  • Henry Bird
  • James Mortimer
  • John Owen
  • Louis Paulsen
  • Other opponents

Morphy number 2

[edit]

Everyone in this group played someone in the group above. The Australian champion Frederick Esling achieved MN2 by beating Anderssen in an offhand game[6] and another Australian champion, Julius Leigh Jacobsen (1862–1916)[7] achieved MN2 by beating Bird in a casual match +4-2=1, enabling many Australian players of the early 20th century to achieve MN3.[8] The following are some of the most important players who have achieved MN2.[1]

  • Semyon Alapin
  • Ossip Bernstein
  • Joseph Blackburne
  • Amos Burn
  • Mikhail Chigorin
  • Eugene Ernest Colman[9]
  • Oldřich Duras[10]
  • Frederick Esling
  • Isidor Gunsberg
  • David Janowski
  • Emanuel Lasker[11]
  • S. Lipschütz
  • George Mackenzie
  • Frank Marshall[12]
  • James Mason
  • Jacques Mieses[10]
  • Géza Maróczy
  • Reginald Michell
  • Aron Nimzowitsch[10]
  • Harry Pillsbury
  • Akiba Rubinstein[10]
  • Carl Schlechter


  • Edward Guthlac Sergeant[13]
  • Jackson Showalter
  • Rudolf Spielmann[10]
  • Wilhelm Steinitz
  • Siegbert Tarrasch[14]
  • Savielly Tartakower[15]
  • Richard Teichmann[10]
  • Sir George Thomas[16]
  • Szymon Winawer
  • Eugene Znosko-Borovsky[10]
  • Johannes Zukertort

Morphy number 3

[edit]

Most of the masters in this group played several members of the previous group. This group includes some of the most important players for making connections to later generations. Botvinnik and Reshevsky played older masters such as Lasker and Janowski, had long careers, and played many younger players.[1] Najdorf was Tartakower's pupil and they played a number of published games together, and Najdorf played blitz right into his 80s, allowing many younger players to achieve 4. Smyslov and Keres had very long careers, so much younger players achieved MN4 by playing them. Gligoric also played Tartakover,[17] allowing many Yugoslav players to achieve 4. C.J.S. Purdy played Tartakower,[18] enabling many Australian players to achieve 4. Fairhurst, who played Tartakover,[19] was many times champion of Scotland, and later moved to New Zealand, so a number of players in these countries achieved 4 by playing him.

As of April 2025, living players with Morphy number 3 include Leonard Barden, Bernard Cafferty, Owen Hindle, Christian Langeweg, Oliver Penrose, and Jim Walsh.[4][20][21][22][23]

  • James Macrae Aitken[24]
  • Alexander Alekhine
  • Conel Hugh O'Donel Alexander
  • Leonard Barden
  • Pal Benko
  • Arthur Bisguier
  • Efim Bogolyubov
  • Fedor Bogatyrchuk[25]
  • Isaac Boleslavsky[26]
  • Mikhail Botvinnik
  • David Bronstein
  • Bernard Cafferty[27]
  • José Raúl Capablanca
  • Martin Christoffel
  • Arthur Dake[28]
  • Arnold Denker
  • Jan Hein Donner[29]
  • Marcel Duchamp
  • Erich Eliskases


  • Max Euwe
  • William Fairhurst
  • Reuben Fine
  • Salo Flohr
  • Svetozar Gligorić
  • Owen Hindle[22]
  • Borislav Ivkov[30]
  • Paul Keres
  • George Koltanowski
  • Alexander Kotov[31]
  • Čeněk Kottnauer[32]
  • Franciscus Kuijpers[33]
  • Christian Langeweg[33]
  • Bent Larsen[4]
  • Edward Lasker
  • Andor Lilienthal
  • Aleksandar Matanović
  • Vera Menchik
  • Stuart Milner-Barry
  • Vladimir Nabokov[34]
  • Miguel Najdorf[35]


  • Friðrik Ólafsson
  • Frank Parr[27]
  • Jonathan Penrose[36]
  • Oliver Penrose[37]
  • Arturo Pomar
  • Lodewijk Prins
  • David Pritchard[38]
  • C.J.S. Purdy[39]
  • Samuel Reshevsky[40]
  • Stewart Reuben
  • Friedrich Sämisch
  • Vasily Smyslov[41]
  • Rudolf Spielmann
  • Herman Steiner
  • László Szabó[42]
  • Wolfgang Unzicker[43]
  • Milan Vidmar
  • Robert Wade[44]
  • Jim Walsh[23]
  • Norman Whitaker
  • Baruch Harold Wood[45]

Morphy number 4

[edit]

As of 2013[update] many of these players are still alive; a few (such as Anand, Adams, Svidler and Ivanchuk) are still active.[1]

  • Michael Adams[46]
  • Viswanathan Anand[47]
  • Ulf Andersson
  • Lev Aptekar[48]
  • Keith Arkell
  • Yuri Averbakh
  • Alexander Beliavsky
  • Harold Bloom[49]
  • Walter Browne[50]
  • Donald Byrne
  • Murray Chandler[51]
  • Maia Chiburdanidze[52]
  • Pia Cramling[53]
  • Nigel Davies[54]
  • Mark Dvoretsky
  • Ben Finegold[55]
  • Bobby Fischer
  • Semyon Furman
  • Nona Gaprindashvili[56]
  • Paul Garbett[57]
  • Efim Geller
  • Florin Gheorghiu[58]
  • Ewen Green[59]


  • Vlastimil Hort
  • Robert Hübner
  • Vassily Ivanchuk[60]
  • Gata Kamsky[61]
  • Anatoly Karpov
  • Garry Kasparov
  • Allen Kaufman
  • Alexander Khalifman[62]
  • Ratmir Kholmov
  • Viktor Korchnoi
  • Gary Lane
  • Ljubomir Ljubojević
  • Sergio Mariotti
  • Tony Miles
  • Predrag Nikolić[63]
  • John Nunn
  • Bruce Pandolfini
  • Tigran Petrosian
  • Judit Polgár[64]
  • Susan Polgar
  • Ruslan Ponomariov[54]
  • Lajos Portisch


  • Lev Polugaevsky
  • Hans Ree
  • Zoltán Ribli[65]
  • Ian Rogers[66]
  • Valery Salov[67]
  • Ortvin Sarapu[68]
  • Jonathan Sarfati
  • Yasser Seirawan
  • Alexei Shirov[69]
  • Nigel Short
  • Vernon Small[70]
  • Boris Spassky
  • Peter Svidler[71]
  • Richard John Sutton[72]
  • Mark Taimanov
  • Mikhail Tal
  • Jan Timman
  • Veselin Topalov[73]
  • Anna Ushenina[74]
  • Rafael Vaganian
  • Hikaru Nakamura[75]
  • John L. Watson[76]

Morphy number 5

[edit]

As of 2013[update], many of the top grandmasters were thought to be in this group (along with a large number of lower-rated players).[1] However, several players initially thought to be in this group were actually MN4s;[54] for instance, based on playing Smyslov, who played Tartakower and Bernstein.

  • Magnus Carlsen
  • Fabiano Caruana[77]
  • Boris Gelfand
  • Gukesh Dommaraju[78]
  • Mikhail Gurevich
  • Igor Ivanov[79]


  • Rustam Kasimdzhanov
  • Sergey Karjakin[80]
  • Vladimir Kramnik
  • Joël Lautier
  • Ding Liren[81]
  • Péter Lékó


  • Shakriyar Mamedyarov[82]
  • Karsten Müller
  • Ian Nepomniachtchi[83]
  • Levy Rozman[84]
  • Jon Speelman
  • Artur Yusupov

See also

[edit]
  • iconChess portal
  • List of chess players

References

[edit]
  1. ^ a b c d e f Your Morphy Number is Up, Taylor Kingston, The Chess Cafe, 2005
  2. ^ a b Playing the Morphy Number Game, Tim Harding, The Chess Cafe, 2010
  3. ^ Tim Krabbé - see item #67
  4. ^ a b c d Frederick Rhine, Fun with Morphy Numbers
  5. ^ Taylor Kingston, Morphy numbers revisited: the Mortimer effect, ChessCafe.com, 1 Oct 2014.
  6. ^ Frederick Karl Esling vs Adolf Anderssen, Casual game (1878), Frankfurt
  7. ^ Chesgames.com page on Julius Leigh Jacobsen
  8. ^ Hans Renette, H.E. Bird: A Chess Biography with 1,198 Games, p. 245, McFarland, 2016.
  9. ^ Played James Mortimer in the City of London Championship of 1910/11.
  10. ^ a b c d e f g Played James Mortimer at Ostend, 1907.
  11. ^ Lasker-Bird games
  12. ^ "James Mortimer vs Frank Marshall (1900)".
  13. ^ Played James Mortimer in several City of London Championships from 1906 to 1910.
  14. ^ Tarrasch-Paulsen games
  15. ^ "James Mortimer vs Savielly Tartakower (1907)".
  16. ^ Mortimer played Sir George Thomas in the Canterbury 1903 and Brighton 1904 tournaments. Gino de Felice, Chess Results, 1901-1920, McFarland & Co., 2006, pp. 26, 37.
  17. ^ Svetozar Gligoric vs Savielly Tartakower, Budapest 1948
  18. ^ Cecil John Seddon Purdy vs Savielly Tartakower, Australia versus France Radio Match, 1946
  19. ^ Fairhurst v Tatakower games
  20. ^ Barden's comments to Tim Harding, Playing the Morphy Number GameArchived 2011-06-06 at the Wayback Machine, chesscafe.com, 2010.
  21. ^ Edward Winter, Chess Note 6614, June 11, 2010. Retrieved on September 15, 2010.
  22. ^ a b Hindle played E.G. Sergeant in the 1960 British Championship
  23. ^ a b Jim Walsh played Ossip Bernstein in the 1955 An Tostal Cork tournament
  24. ^ JM Aitken beat Savielly Tartakower at Southsea in 1949
  25. ^ "Emanuel Lasker vs Fedor Parfenovich Bohatirchuk (1925)".
  26. ^ "Groningen (1946)".
  27. ^ a b Defeated Edward Guthlac Sergeant in the 1960 British Championship
  28. ^ Frank Marshall vs Arthur William Dake New York, NY (1931)
  29. ^ Jan Hein Donner vs Savielly Tartakower, Amsterdam (1950), Amsterdam NED, rd 15, Nov-30
  30. ^ "Tartakower-Ivkov, Bled 1950".
  31. ^ "Groningen (1946)".
  32. ^ Čeněk Kottnauer played Tartakower at the Staunton Memorial Tournament, Groningen 1946.
  33. ^ a b Played Ossip Bernstein at the 1961 IBM Amsterdam tournament.
  34. ^ Boyd, Brian. Vladimir Nabokov: The Russian Years. Princeton University Press, 1990, p. 259.
  35. ^ Miguel Najdorf vs Savielly Tartakower (various games)
  36. ^ Jonathan Penrose vs Savielly Tartakower Southsea, England (1950)
  37. ^ Eugene Znosko-Borovsky vs Oliver Penrose BCF-Premier (1948)
  38. ^ Played Eugene Ernest Colman, Morphy number 2, at least three times, 1947-1953; scores recorded in Surviving Changi: E E Colman by Olimpiu G Urcan (Singapore, 2007)
  39. ^ "Cecil Purdy vs Savielly Tartakower (1946)".
  40. ^ "Lasker-Reshevsky, Nottingham 1936".
  41. ^ "Groningen (1946)".
  42. ^ "Groningen (1946)".
  43. ^ Eugene Aleksandrovich Znosko-Borovsky vs Wolfgang Unzicker, Lucerne (1949), SUI
  44. ^ Robert Wade played Savielly Tartakower twice, in 1951 (Staunton Memorial) and 1953 (Hastings). He also defeated Ossip Bernstein at the IBM Amsterdam tournament in 1961.
  45. ^ Played Eugene Znosko-Borovsky at Baam in 1947.
  46. ^ "Wade, Robert G - Adams, Michael 2008, 6th Staunton Memorial, London ENG".
  47. ^ Bent Larsen vs Viswanathan Anand, Tournoi de Generations (1989), Cannes FRA, rd 6,
  48. ^ William Albert Fairhurst vs Lev Isaakovich Aptekar, 83rd New Zealand Ch, 1976
  49. ^ Bloom, Harold. The Bright Book of Life: Novels to Read and Reread. Alfred A. Knopf, 2020.
  50. ^ Walter Shawn Browne vs Paul Keres, Vancouver, 1975
  51. ^ William Albert Fairhurst vs Murray Chandler, 83rd New Zealand Ch, 1976
  52. ^ Maia Chiburdanidze vs Samuel Reshevsky, Vilnius (1978), Vilnius LTU, rd 4
  53. ^ [1]
  54. ^ a b c Morphy Numbers Revisited: The Mortimer Effect, by Taylor Kingston
  55. ^ Arthur Bisguier vs Benjamin Finegold, World Open (2000), Philadelphia, PA USA, rd 2, Jul-02
  56. ^ Robert Wade vs Nona Gaprindashvili, Reykjavik (1964), Reykjavik ISL, rd 9, Jan-26
  57. ^ Paul Anthony Garbett vs William Albert Fairhurst, 83rd New Zealand Ch, 1976
  58. ^ Florin Gheorghiu vs William Albert Fairhurst, Olympiad Qualifying Group 6 (1974), Nice FRA
  59. ^ Ewen McGowen Green vs William Albert Fairhurst, 83rd New Zealand Ch, 1976
  60. ^ Vasily Smyslov vs Vassily Ivanchuk, 55th USSR Championship (1988), Moscow URS, rd 9
  61. ^ Vasily Smyslov vs Gata Kamsky, New York Open (1989), New York, NY USA, rd 7
  62. ^ Vasily Smyslov vs Alexander Khalifman, 55th USSR Championship (1988), Moscow URS, rd 5
  63. ^ Vasily Smyslov vs Predrag Nikolic, 6th Vidmar Memorial (1985), Portoroz, rd 3
  64. ^ Judit Polgar vs Vasily Smyslov, Women-Veterans (1992), Aruba, rd 5
  65. ^ Vasily Smyslov vs Zoltan Ribli, October Revolution 60th Anniversary (1977), Leningrad URS, rd 15, Jul-16
  66. ^ Cecil John Seddon Purdy vs Ian Rogers, Sydney International Tournament (1979), Sydney, Australia
  67. ^ Valery Salov vs Vasily Smyslov, 55th USSR Championship (1988), Moscow URS, rd 4
  68. ^ Efim Bogoljubov vs Ortvin Sarapu, Oldenburg (1949), Oldenburg GER, rd 10, Jun-26
  69. ^ Alexey Shirov vs Vasily Smyslov, Keres Rapid Memorial (1996) (quick), Tallinn EST, rd 3
  70. ^ William Albert Fairhurst vs Vernon Albert Small, 83rd New Zealand Ch, 1976
  71. ^ Peter Svidler vs Vasily Smyslov, Alekhine Memorial Open (1992), Moscow RUS, rd 4
  72. ^ William Albert Fairhurst vs Richard John Sutton, 83rd New Zealand Ch, 1976
  73. ^ "Veselin Topalov vs Arturo Pomar Salamanca (1992)".
  74. ^ "Anna Ushenina vs Fridrik Olafsson (Snowdrops and Old-hands 2008)".
  75. ^ https://www.365chess.com/game.php?gid=3012455
  76. ^ Paul Keres vs John L Watson, Vancouver 1975
  77. ^ https://www.chessgames.com/perl/chessgame?gid=1964454&comp=1
  78. ^ https://www.chess.com/news/view/2023-superunited-croatia-rapid-blitz-day-3
  79. ^ Igor Ivanov vs Anatoly Karpov Moscow (1979)
  80. ^ https://www.chessgames.com/perl/chessgame?gid=1385670
  81. ^ https://www.chessgames.com/perl/chessgame?gid=1963995&comp=1
  82. ^ https://www.chessgames.com/perl/chessgame?gid=1751201&kpage=2
  83. ^ https://www.chessgames.com/perl/chessgame?gid=2061638
  84. ^ https://www.chess.com/events/2024-battle-of-generations?utm_source=chesscom&utm_medium=article&utm_campaign=battlegenerations2024

External links

[edit]
  • Paul Morphy at Chess Games
Retrieved from "https://teknopedia.ac.id/w/index.php?title=Morphy_number&oldid=1331963859"
Categories:
  • Chess terminology
  • Separation numbers
Hidden categories:
  • Webarchive template wayback links
  • Articles with short description
  • Short description is different from Wikidata
  • Articles with trivia sections from January 2021
  • All articles with trivia sections
  • Articles containing potentially dated statements from October 2019
  • All articles containing potentially dated statements
  • Articles containing potentially dated statements from 2013

  • indonesia
  • Polski
  • العربية
  • Deutsch
  • English
  • Español
  • Français
  • Italiano
  • مصرى
  • Nederlands
  • 日本語
  • Português
  • Sinugboanong Binisaya
  • Svenska
  • Українська
  • Tiếng Việt
  • Winaray
  • 中文
  • Русский
Sunting pranala
url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url url
Pusat Layanan

UNIVERSITAS TEKNOKRAT INDONESIA | ASEAN's Best Private University
Jl. ZA. Pagar Alam No.9 -11, Labuhan Ratu, Kec. Kedaton, Kota Bandar Lampung, Lampung 35132
Phone: (0721) 702022
Email: pmb@teknokrat.ac.id