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Mark Paragua

2025-04-11T01:19:03Z

4.78.240.29: infobox

{{short description|Filipino chess grandmaster (born 1984)}}
{{Philippine name|Callano|Paragua}}
{{Infobox chess biography
| name = Mark Paragua
| image =
| caption =
| full_name = Mark Callano Paragua
| country = [[Philippines]]
| birth_date = {{Birth date and age|1984|3|29}}
| birth_place = Philippines
| death_date =
| death_place =
| title = [[Grandmaster (chess)|Grandmaster]] (2005)
| worldchampion =
| peakrating = 2621 (April 2006)
| peakranking = No. 99 (April 2006)
| FideID = 5201241
}}

'''Mark Callano Paragua''' (born March 29, 1984) is a Filipino [[chess]] [[Grandmaster (chess)|grandmaster]]. He won the [[Philippine Chess Championship]] in 2012. He was the youngest Filipino master ever, at nine years of age. He also became the youngest Filipino GM ever at 20 (until [[Wesley So]] surpassed it), beating [[Eugenio Torre]]'s record by about two years.

==Chess career==
At the 1998 [[The Walt Disney Company|Disney]] World Rapid Chess Championship for Kids, Paragua tied for finished first with 7½ points in the boys' 14-and-under section, and took the gold medal on tiebreak points.

Paragua also played in the 3rd Asian Indoor Games held in 2009 where he finished with 5 wins, 1 draw, and 2 losses with a Tournament Performance Rating (TPR) of 2522 (ELO 2501) leading the team to a 7th-place finish but missed out on a playoff berth.<ref>{{Cite web |url=http://www.olimpbase.org/2009ai/2009ea.html |title=OlimpBase :: 3rd Asian Indoor Chess Games, Hanoi 2009, standings |website=www.olimpbase.org}}</ref>

===World Youth Chess Championship===

Paragua took part in two [[World Youth Chess Championship]]s:
* 15th World Youth Chess Championship (2001) where he tied for 17th-26th places in the tournament that attracted 83 players in the premier Boys U-18. He eventually placed 17th after tie-breaks scoring 6.5 points.<ref>{{Cite web |url=https://theweekinchess.com/html/twic365.html#7 |title=The Week in Chess 365 |website=theweekinchess.com}}</ref>
* 16th World Youth Chess Championship (2002) where he tied for 3rd-5th places, ultimately ending up in 5th place in the Boys U-18 category.<ref>{{Cite web |url=https://theweekinchess.com/html/twic420.html#9 |title=The Week in Chess 420 |website=theweekinchess.com}}</ref><ref>{{Cite web |url=https://www.philstar.com/palaro/2002/11/26/185537/paragua-nakisosyo-sa-3rd-place |title=Paragua, nakisosyo sa 3rd place |website=Philstar.com}}</ref>

===World Junior Chess Championship===

Paragua participated in two [[World Junior Chess Championship]]s scoring 12 wins, 7 draws, and 7 losses for a winning percentage of 59.6%:

*At the 41st World Junior Chess Championship held in December 2002, Paragua tied for 11th{{ndash}}16th places with a score of 6 wins, 4 draws, and 3 losses ending up in 16th place after tiebreaks. He had a TPR of 2432 as compared to his then ELO of 2476.<ref>{{Cite web |url=http://www.olimpbase.org/ind-junior/wu20-2002.html |title=OlimpBase :: 41st World Junior Chess Championship, Panaji 2002 |website=www.olimpbase.org}}</ref>
*At the 43rd World Junior Chess Championship held in 2004, Paragua (6th seed with 2534 ELO) tied for 15th{{ndash}}21st places eventually ending up in 18th place after tie-breaks. He scored 6 wins, 3 draws, and 4 losses with a TPR of 2450.<ref>{{Cite web |url=http://www.olimpbase.org/ind-junior/wu20-2004.html |title=OlimpBase :: 43rd World Junior Chess Championship, Kochi 2004 |website=www.olimpbase.org}}</ref>

===FIDE World Chess Championship===
Paragua qualified for the [[FIDE World Chess Championship 2004|2004 World Championship]] that took place in 2004 where he was eliminated by [[Viktor Bologan]] of [[Moldova]] in the first round. Paragua won the first game against Bologan but then lost three straight games, eliminating him from the tournament.<ref>{{Cite web |url=http://www.chessib.com/wcc4r1.html |title=World Chess Championship 2004 |website=www.chessib.com}}</ref>

===FIDE World Cup===
Paragua was a 3-time participant in the [[Chess World Cup]]:

*At the 2005 Chess World Cup (qualifying tournament for world championship), he upset [[Sergei Movsesian]] in the first round, 1.5-0.5 winning the second game with the white pieces,<ref>{{Cite web |url=https://www.chessgames.com/perl/chess.pl?tid=49540&pid=10126 |title=World Cup (2005) (games of Mark Paragua) |website=www.chessgames.com}}</ref> before losing in the tie breaker against [[Alexey Dreev]] in the second round, 2.5-3.5 (Paragua drew both his games against Dreev in the regulation)<ref>{{Cite web |url=https://en.chessbase.com/post/fide-world-cup-round-2-3-tiebreaks |title=FIDE World Cup Round 2.3 - Tiebreaks |date=December 2, 2005 |website=Chess News}}</ref><ref>{{cite web |url=http://www.chessgames.com/perl/chessgame?gid=1378321 |title=Mark Paragua vs Alexey Dreev, FIDE World Cup 2005, Semi-Slav Defense: Accelerated Meran Variation (D45), 1-0 |website=Chessgames.com |access-date=January 2, 2021}}</ref>
* He also qualified in the 2011 Chess World Cup, a 126-player field<ref>{{Cite web |url=https://www.chessgames.com/perl/chess.pl?tid=74901 |title=World Cup (2011) |website=www.chessgames.com}}</ref> knockout tournament where he was seeded 108th (2545 ELO). Paragua earned the berth after finishing second (after tie-breaks) in the 2011 Asian Zone 3.3 chess championship. He faced the 21st-seeded [[Michael Adams (chess player)|Michael Adams]] who beat him, 1.5–0.5 in the first round.<ref>{{Cite web |url=https://www.chessgames.com/perl/chess.pl?tid=74901&pid=10126 |title=World Cup (2011) (games of Mark Paragua) |website=www.chessgames.com}}</ref><ref>{{Cite web |url=https://theweekinchess.com/chessnews/events/fide-world-cup-khanty-mansiysk-2011 |title=FIDE World Cup Khanty-Mansiysk 2011 | The Week in Chess |website=theweekinchess.com}}</ref>
* At the 2013 Chess World Cup, a 7-round knockout chess meant to determine the qualifiers for the 2014 Candidates.<ref>{{Cite web |url=https://theweekinchess.com/chessnews/events/fide-world-cup-tromso-2013 |title=FIDE World Cup Tromso 2013 | The Week in Chess |website=theweekinchess.com}}</ref> Paragua was seeded 101 with an ELO of 2569 and was eliminated in the first round by [[Dmitry Jakovenko]] 2–0.<ref>{{Cite web |url=https://chess24.com/en/watch/live-tournaments/worldCup2013 |title=FIDE World Cup Tromsø 2013 2013 |website=chess24.com}}</ref>

===Paragua breaks 2600 ELO===
Paragua became the first Filipino to reach 2600 FIDE after he finished co-champion in the Asian Zonal 3.3 Chess Championships in September 2005.<ref name="auto">{{Cite web |url=https://www.uschesschamps.com/bio/mark-paragua |title=Mark Paragua | www.uschesschamps.com |website=www.uschesschamps.com}}</ref><ref>{{Cite web |url=https://theweekinchess.com/html/twic566.html#22 |title=The Week in Chess 566 |website=theweekinchess.com}}</ref>

Paragua finished the nine-round Swiss system event with 7 points. In January 2006, [[FIDE]] listed Paragua with a rating of 2618 enough to get him in the top 100.<ref>{{Cite web |url=https://ratings.fide.com/profile/5201241/chart |title=Paragua, Mark |website=ratings.fide.com}}</ref>

===Asian Individual Chess Championship===
Paragua participated in seven editions of the Asian Individual Chess Championship:
*3rd [[Asian Chess Championship]] (2001) where he placed 48th in a 76-player field for the 11-round Swiss System event where he scored 4 wins, 2 draws, and 5 losses with a TPR of 2458 as compared to his ELO of 2444;
*4th Asian Chess Championship (2003) where he placed 20th in a field of 54 players in this 9-round Swiss System event where he scored 3 wins, 3 draws, and 2 losses with a TPR of 2528 (ELO rating was 2506);
*6th Asian Chess Championship (2007) where he finished the 11-round Swiss System event in 29th place in a field of 72 players with 3 wins, 6 draws, and 2 losses with a TPR of 2474 which was way below his ELO then of 2525;
*9th Asian Chess Championship (2009) where he finished in 61st place in the 86-player field that competed in the 11-round Swiss System event scoring 2 wins, 6 draws, and 3 losses putting up a TPR of 2400 as compared to his 2529 ELO;
*9th Asian Chess Championship (2011) where he ended up in 29th place in the 9-round Swiss System event that featured 50 players finishing with 3 wins, 3 draws, and 3 losses with a TPR of 2472 (2542 ELO);
*10th Asian Chess Championship (2012) where he ended up in 36th place in the 72 player-field that comprised the 9-round Swiss System event scoring 4 wins, 1 draw, and 4 losses with a TPR of 2468 as compared to his 2521 ELO; and lastly at the
*11th Asian Chess Championship (2013) where he won the bronze medal in the 9-round Swiss System event featuring 77 players where he finished undefeated with 4 wins and 5 draws for a TPR of 2710 compared to his 2550 ELO at that time.

Overall, Paragua compiled 36 points in 68 games (52.9% winning percentage) with 23 wins, 26 draws, and 19 losses for 1 bronze medal.<ref>{{Cite web |url=http://www.olimpbase.org/players-ind/o/ocqiouad-asia.html |title=OlimpBase :: Asian Individual Chess Championship :: Paragua, Mark}}</ref>

===Chess Olympiad===
He played for the Philippines in the [[Chess Olympiad]]s of 2002, 2004, 2006, and 2012,<ref name="auto1">{{Cite web |url=http://www.olimpbase.org/players/ocqiouad.html |title=OlimpBase :: Men's Chess Olympiads :: Mark Paragua}}</ref> and the [[2020 Online Chess Olympiad]].

At the [[35th Chess Olympiad]], Paragua scored 5 wins, 5 draws, and 2 losses with a Tournament Performance Rating (TPR) of 2503 in Board 4 to place 19th, second-best in the team.

At the [[36th Chess Olympiad]], Paragua scored 6 wins, 3 draws, and 4 losses with a TPR of 2556 as compared to his ELO rating then of 2534 playing Board 3.

Paragua played the top Board for Team Philippines for the first time in his career in the [[37th Chess Olympiad]]. He scored 2 wins, 5 draws, and 4 losses.

At the [[40th Chess Olympiad]], Paragua played Board 4 scoring 6 points on the strength of 3 wins, 6 draws, and 2 losses with a TPR of 2561 as compared to his 2508 ELO rating where he finished at 18th place.<ref name="auto1"/>

In total, Paragua has already scored 25.5 points in 47 games recording 16 wins, 19 draws, and 12 losses for a 54.3% winning rate with his best performance coming at the 2012 Olympiad held at Istanbul, Turkey where he placed 18th.

In 2020, Paragua headed Team Philippines at the 2020 Online Chess Olympiad. He scored 5 wins, 1 draw, and 2 losses as he led the team to a 5th-place finish in Pool A of Division II with 10 match points.<ref>{{Cite web |url=https://olymp-results.fide.com/division/5 |title=Standings |website=FIDE Online Olympiad 2020}}</ref><ref>{{Cite web |url=https://olymp-results.fide.com/team/phi |title=Philippines |website=FIDE Online Olympiad 2020}}</ref><ref>{{Cite web |url=https://mb.com.ph/2020/08/17/ph-settles-for-fifth-in-fide-online-chess-olympiad/ |title=PH settles for 5th in FIDE Online Chess Olympiad |date=August 17, 2020 |website=Manila Bulletin}}</ref>

===Asian Cities Chess Championship===
Paragua participated in three editions of the Asian Cities Chess Championship:
*14th edition held in Manila, Philippines (2004) where he served as the captain of the Mandaluyong Team playing Board 1 and finishing with 4 wins, 3 draws, and 2 losses with a TPR of 2477 as compared to his then ELO of 2529. He led the team to a bronze medal finish in Team Competition;
*15th edition played in Tehran, Iran (2007) where he again played Board 1 this time representing Team Tagaytay where he scored 3 wins, 3 draws, and 3 losses with a TPR of 2377 as against his 2573 ELO at that time leading the team to a silver medal in the Team Competition; and
*18th edition held in Tagaytay City, Cavite, Philippines where he played Board 2 and finished with 4 wins, 3 draws, and 2 losses with a TPR of 2445 compared to his ELO of 2571 during that time leading Team Tagaytay to a gold medal finish in the Team Competition.

He finished his stint in the tournament with 15.5 points in 27 games posting 11 wins with 9 draws and 7 losses for a winning percentage of 57.4% ending up with 1 gold, 1 silver, and 1 bronze in Team Competition.<ref>{{Cite web |url=http://www.olimpbase.org/playersz/ocqiouad.html |title=OlimpBase :: Asian Cities Chess Campionship's :: Mark Paragua}}</ref>

===Philippine National Chess Championship===
Paragua won the 2012 [[Philippine Chess Championship]]. He scored 11.5/15 with 10 wins, 3 draws, and 2 losses. He had a TPR of 2627 as against his 2508 ELO.<ref>{{Cite web |url=https://chessaccount.com/news/mark-paragua-wins-philippines-championship-2012/ |archive-url=https://web.archive.org/web/20150812002856/http://chessaccount.com/news/mark-paragua-wins-philippines-championship-2012/ |url-status=usurped |archive-date=August 12, 2015 |title=Mark Paragua Wins Philippines Championship 2012 |first1=jaimenarin on |last1=July 26 |first2=2012 at 3:11 Am |last2=Said |date=July 25, 2012}}</ref>

===World Open===
Paragua finished the 38th Annual World Open in a tie for 9th-18th places. He posted 5 wins, 2 draws, and 1 loss.<ref>{{Cite web |url=https://ratings.fide.com/tournament_report.phtml?event16=46919 |title=38th Annual World Open - Open Section September 2010 United States of America FIDE Chess Tournament report |website=ratings.fide.com}}</ref><ref>{{Cite web |url=https://ratings.fide.com/individual_calculations.phtml?idnumber=5201241&rating_period=2010-09-01&t=0 |title=Paragua, Mark C September 2010 FIDE Individual Chess Calculations |website=ratings.fide.com}}</ref>

Paragua tied for 7th-13th places in the 42nd Annual World Open. He scored 6 points on 5 wins, 2 draws, and 2 losses after tiebreaks.<ref>{{cite web |url=http://www.journal.com.ph/sports/other-sports/paragua-barbosa-sparkle |title=Paragua, Barbosa sparkle - Journal Online |website=[[People's Journal]] |accessdate=2014-07-19 |url-status=dead |archiveurl=https://web.archive.org/web/20140727212610/http://www.journal.com.ph/sports/other-sports/paragua-barbosa-sparkle |archivedate=2014-07-27}}</ref>

===US tournaments===
At the '''2008 Foxwoods Open''', Paragua tied for 9th-17th places scoring 5 wins, 2 draws, and 2 losses to place 13th overall after tiebreaks.<ref>{{Cite web |url=http://chessheroes.blogspot.com/2008/03/gm-paragua-13th-place-in-foxwoods-open.html |title=ChessHeroes: GM Paragua, 13th place in Foxwoods Open |first=Des |last=Catolos |date=March 26, 2008}}</ref>

In 2016, Paragua took part in the 3rd Millionaire Chess Open. Paragua ended up in a tie for 17th-28th place where he eventually ended up in 21st place with 4 wins, 1 draw, and 2 losses which did not qualify him for the next round.<ref>{{Cite web |url=https://chess24.com/en/watch/live-tournaments/millionaire-chess-2016-open |title=Millionaire Chess - Open 2016 |website=chess24.com}}</ref>

In 2017, he tied for first at the 9th annual Chesapeake Open with 5 wins, 2 draws, and no losses. The tournament employed no tie-break and Paragua won $1,100 (USD).<ref>{{Cite web |url=https://www.washingtontimes.com/news/2017/jan/25/julio-sadorra-mark-paragua-sail-to-victory-in-the-/ |title=Julio Sadorra, Mark Paragua sail to victory in Chesapeake Open|website=[[The Washington Times]] }}</ref><ref>{{Cite web |url=https://www.mdchess.com/index.php?option=com_content&view=article&id=518:9th-annual-chesapeake-open-final-results-with-prizes&catid=126&Itemid=806 |title=9th Annual Chesapeake Open Final Standings |website=www.mdchess.com}}</ref>

On July 10, 2019, Paragua topped the 12th New York Int 2019 that featured 24 players in 9 rounds with an average ELO Rating of 2309. He finished undefeated with 4 wins and 5 draws. Paragua was seeded third in this tournament with an ELO of 2503.<ref>{{Cite web |url=https://www.365chess.com/tournaments/12th_New_York_Int_2019_2019/43504 |title=12th New York Int 2019 2019 - 365Chess.com Tournaments |website=www.365chess.com}}</ref>

On July 27, 2019, Paragua won the 8th Washington Int 2019, a 9-round 35-player tournament with an average ELO Rating of 2309. He finished with 6 wins, 2 draws, and 1 loss.<ref>{{Cite web |url=https://www.365chess.com/tournaments/8th_Washington_Int_2019_2019/43534 |title=8th Washington Int 2019 2019 - 365Chess.com Tournaments |website=www.365chess.com}}</ref>

Also in 2019, Paragua placed second in the 141st New York State Championship. He scored 3 wins and 3 draws ending up tied for 2nd-4th places, but ended up with the runner-up honors after tie-breaks; all the three players won $600.00 each.<ref>{{cite web |url=https://theweekinchess.com/html/twic1296.html#29 |title=The Week in Chess 1296 |access-date=2021-01-01}}</ref>

On November 14, 2019, Paragua finished in joint 1st place at the 103rd ch-Marshall CC 2019. The tournament featured 10 players with an average of 2482 ELO Rating. Paragua went undefeated with 3 wins and 6 draws.<ref>{{Cite web |url=https://www.365chess.com/tournaments/103rd_ch-Marshall_CC_2019_2019/43739 |title=103rd ch-Marshall CC 2019 2019 - 365Chess.com Tournaments |website=www.365chess.com}}</ref>

On November 27, 2019, Paragua finished in joint third place at the CCCSA Fall GM 2019 Tournament, a 10-player tournament with an average ELO Rating of 2441, finishing with 3 wins, 3 draws, and 3 losses.<ref>{{Cite web |url=https://www.365chess.com/tournaments/CCCSA_Fall_GM_2019_2019/43789 |title=CCCSA Fall GM 2019 2019 - 365Chess.com Tournaments |website=www.365chess.com}}</ref>

On January 16, 2020, he won the Winter CCCSA GM Norm Invitational going undefeated with 3 wins and 6 draws. The tournament featured ten players with an average ELO Rating of 2433.<ref>{{Cite web |title=Winter 2020 CCCSA GM Norm Invitational February 2020 United States of America FIDE Chess Tournament report |url=https://ratings.fide.com/tournament_report.phtml?event16=239207 |access-date=2020-06-16 |website=ratings.fide.com}}</ref><ref>{{Cite web |url=https://www.365chess.com/tournaments/CCCSA_Winter_GM_2020_2020/43901 |title=CCCSA Winter GM 2020 2020 - 365Chess.com Tournaments |website=www.365chess.com}}</ref>

On February 27, 2020, Paragua won the Marshall GM Norm 2020, another 10-player tournament with an average ELO Rating of 2444, with a score of 6 wins, 2 draws, and 1 loss.<ref>{{Cite web |url=https://www.365chess.com/tournaments/Marshall_GM_Norm_2020_2020/43974 |title=Marshall GM Norm 2020 2020 - 365Chess.com Tournaments |website=www.365chess.com}}</ref>

===Other notable tournaments===

In 2004, Paragua won the 4th Alushta Autumn as he scored a total of 11.0 points in 13 rounds on the strength of 10 wins, 2 draws, and 1 loss.<ref>{{Cite web |url=https://theweekinchess.com/html/twic517.html |title=The Week in Chess 517 |website=theweekinchess.com}}</ref>

Paragua finished second in the Asian Zone 3.3 (2011) Chess Championships and clinched the last berth in the year's World Cup. Paragua actually finished tied for second but took last World Cup berth with a superior tiebreak score.<ref>{{Cite web |url=https://newsinfo.inquirer.net/10755/paragua-indon-gm-get-world-cup-slots |title=Paragua, Indon GM get World Cup slots |first=Marlon |last=Bernardino |date=May 31, 2011 |website=INQUIRER.net}}</ref><ref>{{Cite web |url=https://chessdailynews.com/asian-zone-3-3-set/ |title=- Asian Zone 3.3 set |date=May 30, 2011}}</ref>

Paragua won the 2012 Mayor Allen Singson Cup (Candon City Chess Championships) in March 2012. He finished undefeated with 5 wins and 2 draws.<ref>{{Cite web |url=https://chessdailynews.com/paragua-wins-candon-open/ |title=- Paragua wins Candon Open |date=March 19, 2012}}</ref>

On May 18, 2020, Paragua topped the Curly King Shark online chess tournament. Paragua finished with 70 points in 30 games for a winning percentage of 73 percent and performance rating of 2774, coming in first place. Paragua won 12 games, drew 11, and lost 7 games.<ref>{{Cite web |url=https://www.pna.gov.ph/articles/1103383 |title=Paragua wins Curly King Shark online chess tourney |website=www.pna.gov.ph}}</ref>

==Personal life==
Paragua was born to Flordeliza Callano and Ricardo Paragua, the latter of whom is also his coach. The son and father went around the world to participate in international tournaments. Paragua resided both in the city of [[Meycauayan]] and the adjacent town of [[Marilao]] in the province of [[Bulacan]].<ref>{{Cite web |url=https://newsinfo.inquirer.net/115953/gm-barbosa-captures-gov-espino-chess-title |title=GM Barbosa captures Gov. Espino chess title |first=Marlon |last=Bernardino |date=December 23, 2011 |website=INQUIRER.net}}</ref>

He became a resident of [[New York (state)|New York]]<ref name="auto"/> and coaches at the New York Chess Academy.<ref>{{Cite web |url=https://www.ny-chessacademy.com/ |title=Chess | New York Chess Academy | United States}}</ref>

{{Filipino GMs}}

==References==
{{reflist}}

==External links==
* {{FIDE}}
* {{Chessgames player|10126}}
* {{Chess.com member|Hamonde}} ([https://web.archive.org/web/20200814121030/https://www.chess.com/member/Hamonde archive])

{{DEFAULTSORT:Paragua, Mark}}
[[Category:1984 births]]
[[Category:Living people]]
[[Category:Filipino chess players]]
[[Category:Chess Grandmasters]]
[[Category:Chess Olympiad competitors]]
[[Category:People from Meycauayan]]
[[Category:Sportspeople from Bulacan]]
[[Category:SEA Games medalists in chess]]
[[Category:SEA Games bronze medalists for the Philippines]]
[[Category:Competitors at the 2011 SEA Games]]

Richard Fateman

2024-12-11T03:25:01Z

4.78.240.29: advisor

{{distinguish|Richard Bateman (disambiguation)}}
{{Infobox person
|name = Richard J Fateman
|image = Richard Fateman 1981 (headshot).jpg
|image_size =
|caption =
|birth_date = {{birth date and age|1946|11|04}}
|birth_place =
|death_date =
|death_place =
|other_names =
|education = B.S. (1966), [[Union College]] Ph.D. (1971), [[Harvard University]]
|known_for = [[Macsyma]], [[Franz Lisp]]
|employer = [[University of California, Berkeley]]
|occupation = [[Computer scientist]]

|awards =
|spouse = Martha Fateman
|children = {{Unbulleted list|Abigail Fateman|[[Johanna Fateman]]}}
|nationality = American
|callsign = KJ6BIH
| module = {{Infobox scientist
| child=yes
| thesis_year = 1971
| thesis_title = Essays in Algebraic Simplification
| doctoral_advisor = [[Joel Moses]] [[Anthony Oettinger]]
}}
}}

'''Richard J Fateman''' (born November 4, 1946)<ref>[https://books.google.com/books?id=zd0jAQAAIAAJ&q=%22Fateman,+Richard+J%22+AND+%221946%22 Page 97], Who's who in California, Volume 22, Alice Catt Armstrong, Sarah Alice Vitale, Who's Who Historical Society, 1993 - California</ref> is a professor emeritus of [[computer science]] at the [[University of California, Berkeley]].

He received a BS in Physics and Mathematics from [[Union College]] in June, 1966, and a Ph.D. in Applied Mathematics from [[Harvard University]] in June, 1971. He was a major contributor to the [[Macsyma]] computer algebra system at [[MIT]] and later to the [[Franz Lisp]] system. His current interests include scientific programming environments; [[computer algebra system]]s; [[distributed computing]]; [[analysis of algorithms]]; programming and measurement of large systems; design and implementation of [[programming languages]]; and [[optical character recognition]]. In 1999, he was inducted as a [[List of Fellows of the Association for Computing Machinery|Fellow of the Association for Computing Machinery]].

Richard Fateman is the father of musician [[Johanna Fateman]].

== References ==

{{Reflist}}

== External links ==

* [http://www.cs.berkeley.edu/~fateman/ Home page].
* {{MathGenealogy|id=25263|title=Richard Jay Fateman}}

{{Authority control}}

{{DEFAULTSORT:Fateman, Richard}}
[[Category:Living people]]
[[Category:Union College (New York) alumni]]
[[Category:Harvard University alumni]]
[[Category:UC Berkeley College of Engineering faculty]]
[[Category:1999 fellows of the Association for Computing Machinery]]
[[Category:Programming language researchers]]
[[Category:1946 births]]
[[Category:Lisp (programming language) people]]
[[Category:Amateur radio people]]

{{compu-scientist-stub}}

Triheptagonal tiling

2024-12-11T01:28:39Z

4.78.240.29: /* 7-3 Rhombille */

{{Uniform hyperbolic tiles db|Uniform hyperbolic tiling stat table|U73_1}}
In [[geometry]], the '''triheptagonal tiling''' is a semiregular tiling of the hyperbolic plane, representing a [[Rectification (geometry)|rectified]] [[Order-3 heptagonal tiling]]. There are two [[triangle]]s and two [[heptagon]]s alternating on each [[vertex (geometry)|vertex]]. It has [[Schläfli symbol]] of r{7,3}.

Compare to [[trihexagonal tiling]] with [[vertex configuration]] ''3.6.3.6''.

== Images ==
{| class=wikitable width=480
|- valign=top
|[[File:Uniform tiling 73-t1 klein.png|240px]] [[Klein disk model]] of this tiling preserves straight lines, but distorts angles
|[[File:7-3 rhombille tiling.svg|240px]] The dual tiling is called an ''Order-7-3 rhombille tiling'', made from rhombic faces, alternating 3 and 7 per vertex.
|}
== 7-3 Rhombille ==
{{Infobox face-uniform tiling
| name=7-3 rhombille tiling
| Image_File=File:7-3 rhombille tiling.svg
| Type=
| Cox={{CDD|node|3|node_f1|7|node}}
| Face_List=Rhombi
| Symmetry_Group=[7,3], *732
| Rotation_Group= [7,3]+, (732)
| Face_Type=V3.7.3.7
| Dual=Triheptagonal tiling
| Property_List=[[edge-transitive]] [[face-transitive]]
}}

In [[geometry]], the '''7-3 rhombille tiling''' is a [[tessellation]] of identical [[rhombus|rhombi]] on the [[hyperbolic plane]]. Sets of three and seven rhombi meet two classes of vertices.

[[File:Order 7-3 rhombic tiling in the Band Model.png|640px]] 7-3 rhombile tiling in [[band model]]
{{-}}

== Related polyhedra and tilings ==
The triheptagonal tiling can be seen in a sequence of [[quasiregular polyhedron]]s and tilings:
{{Quasiregular3 table}}

From a [[Wythoff construction]] there are eight hyperbolic [[Uniform tilings in hyperbolic plane|uniform tilings]] that can be based from the regular heptagonal tiling.

Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 8 forms.
{{Heptagonal tiling table}}

{{Quasiregular7 table}}

== See also ==
{{Commonscat|Uniform tiling 3-7-3-7}}
* [[Trihexagonal tiling]] - 3.6.3.6 tiling
** [[Rhombille tiling]] - dual V3.6.3.6 tiling
* [[Tilings of regular polygons]]
* [[List of uniform tilings]]

==References==
* [[John Horton Conway|John H. Conway]], Heidi Burgiel, Chaim Goodman-Strauss, ''The Symmetries of Things'' 2008, {{isbn|978-1-56881-220-5}} (Chapter 19, The Hyperbolic Archimedean Tessellations)
* {{Cite book|title=The Beauty of Geometry: Twelve Essays|year=1999|publisher=Dover Publications|lccn=99035678|isbn=0-486-40919-8|chapter=Chapter 10: Regular honeycombs in hyperbolic space}}

== External links ==
*{{MathWorld | urlname= HyperbolicTiling | title = Hyperbolic tiling}}
*{{MathWorld | urlname=PoincareHyperbolicDisk | title = Poincaré hyperbolic disk }}
* [http://bork.hampshire.edu/~bernie/hyper/ Hyperbolic and Spherical Tiling Gallery]
* [http://geometrygames.org/KaleidoTile/index.html KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings]
* [http://www.plunk.org/~hatch/HyperbolicTesselations Hyperbolic Planar Tessellations, Don Hatch]

{{Tessellation}}

[[Category:Hyperbolic tilings]]
[[Category:Isogonal tilings]]
[[Category:Isotoxal tilings]]
[[Category:Quasiregular polyhedra]]
[[Category:Semiregular tilings]]

{{hyperbolic-geometry-stub}}