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	Roger Penrose - Wikipedia, the free encyclopedia
		Sir Roger Penrose, OM, FRS (born 8 August 1931) is an English mathematical physicist and Emeritus Rouse Ball Professor of Mathematics at the University of Oxford.
		Roger Penrose is the son of scientist Lionel S. Penrose and Margaret Leathes, and the brother of mathematician Oliver Penrose and chess grandmaster Jonathan Penrose.
		Penrose and Stuart Hameroff have constructed a theory in which human consciousness is the result of quantum gravity effects in microtubules.
	en.wikipedia.org /wiki/Roger_Penrose (1265 words)

	Jonathan Penrose - Wikipedia, the free encyclopedia
		Jonathan Penrose (born 1933) is an English chess grandmaster who won the British Chess Championship ten times from 1958 to 1969.
		He is the son of Lionel Penrose and brother of Roger Penrose.
		Penrose was the leading British player for several years in the 1960s and early 70s, winning the British Championship a record number of times.
	en.wikipedia.org /wiki/Jonathan_Penrose (154 words)

	Penrose (Site not responding. Last check: 2007-10-08)
		Penrose was awarded his Ph.D. for his work in algebra and geometry from the University of Cambridge in 1957 but by this time he had already become interested in physics.
		Penrose spent the academic year 1956-57 as an Assistant Lecturer in Pure Mathematics at Bedford College, London and was then appointed as a Research Fellow at St John's College, Cambridge.
		One of Penrose's major breakthroughs was his introduction of twistor theory in an attempt to unite relativity and quantum theory.
	www-gap.dcs.st-and.ac.uk /~history/Mathematicians/Penrose.html (2164 words)

	Roger Penrose
		Penrose and Hameroff have constructed a theory of human consciousness in which human consciousness is the result of quantum gravity effects in microtubules.
		And another quote, this one from Charles Seife: Penrose, the Oxford mathematician famous for his work on tiling the plane with various shapes, is one of a handful of scientists who believe that the ephemeral nature of consciousness suggests a quantum process.
		Roger Penrose is the son of scientist Lionel S Penrose and the brother of mathemetician Prof Oliver Penrose and chess Grand Master Jonathan Penrose
	www.brainyencyclopedia.com /encyclopedia/r/ro/roger_penrose.html (693 words)

	Encyclopedia: Roger Penrose
		A Penrose tiling A Penrose tiling is pattern of tiles, discovered by Roger Penrose and Robert Ammann, which could completely cover an infinite plane, but only in a pattern which is non-repeating (aperiodic).
		The Penrose triangle The Penrose triangle, also known as the tribar is an impossible object.
		The Penrose stairs is an impossible object devised by Lionel Penrose and his son Roger Penrose and can be seen as a variation on his Penrose triangle.
	www.nationmaster.com /encyclopedia/Roger-Penrose (3311 words)

	Roger Penrose (Site not responding. Last check: 2007-10-08)
		Roger Penrose is well-known for his 1974 discovery of Penrose tilings, which are formed from two tiles that can only tilingtile the plane aperiodic tilingaperiodically.
		Later on, Penrose followed up ''The Emperor's New Mind'' with ''Shadows of the Mind'' and ''The Large, the Small and the Human Mind'', further updating and explaining his theories.
		Roger Penrose is the son of scientist Lionel PenroseLionel S. Penrose, and the brother of mathematician Oliver Penrose and chess grandmaster Jonathan Penrose/.
	www.infothis.com /find/Roger_Penrose (787 words)

	Amazon.co.uk: Books: The Road to Reality: A Complete Guide to the Laws of the Universe (Site not responding. Last check: 2007-10-08)
		Roger Penrose is Emeritus Rouse Ball Professor of Mathematics at the University of Oxford.
		Penrose's book is inspiring, informative, exciting; and at the same time it's honest about what math and physics are.
		Penrose tried to fit in all the math needed but he tried to avoid the proofs and technicalities of most of the statements.
	www.amazon.co.uk /exec/obidos/ASIN/0224044478 (2115 words)

	Roger Penrose (Site not responding. Last check: 2007-10-08)
		Sir Roger Penrose, is a member of the faculty of Oxford University
		Sir Roger Penrose OM (born August 8 1931) is an English scientist and academician.
		Roger Penrose is the son of scientist Lionel S. Penrose, and the brother of mathematician Oliver Penrose and chess grandmaster Jonathan Penrose.
	www.worldhistory.com /wiki/R/Roger-Penrose.htm (1016 words)

	Roger Penrose biography .ms (Site not responding. Last check: 2007-10-08)
		Sir Roger Penrose OM (born August 8 1931) is an English mathematical physicist.
		And another quote, this one from Charles Seife : Penrose, the Oxford mathematician famous for his work on tiling the plane with various shapes, is one of a handful of scientists who believe that the ephemeral nature of consciousness suggests a quantum process.
		In 2004 Penrose released The Road to Reality: A Complete Guide to the Laws of the Universe, a 1000 page book aimed at giving a comprehensive guide to the laws of physics.
	roger-penrose.biography.ms (672 words)

	Roger Penrose Article, RogerPenrose Information (Site not responding. Last check: 2007-10-08)
		In 1967, Penrose invented twistor theorywhich maps geometric objects in Minkowski space into the4-dimensional complex space with the metric signature (2,2).
		Penrose and Hameroff have constructed a theory of human consciousness in which human consciousness is the result of quantumgravity effects in microtubules.
		Roger Penrose is the son of scientist Lionel S. Penrose, and thebrother of mathemetician OliverPenrose and chess grandmaster Jonathan Penrose.
	www.anoca.org /he/hameroff/roger_penrose.html (681 words)

	Scotland on Sunday - The Review - Epic quest for Einstein Junior
		Penrose says he would like it to be accessible to people who struggled with fractions at school (in other words everyone).
		Penrose instead backs ‘loop quantum gravity’, a theory whose origins lie in work he did 50 years ago.
		All of this might sound like a less than ringing endorsement, but Penrose’s work is genuinely magnificent, and the most stimulating book I have read in a long time.
	scotlandonsunday.scotsman.com /thereview.cfm?id=849142004&20040728132020 (1036 words)

	Scotsman.com News - Features - Epic quest for Einstein Junior
		In the case of The Road To Reality, that is hardly surprising - but at least Penrose is a safe bet, since he truly is one of the world’s leading mathematical physicists.
		That great quest is the real subject of Penrose’s book - but before we get to the nitty gritty there are an awful lot of preliminaries to get out of the way.
		Most interestingly, Penrose gives vent to his scepticism regarding the hip theories of inflation and superstrings.
	news.scotsman.com /features.cfm?id=849142004 (1174 words)

	Welcome to the Bucks County PA GenWeb (Site not responding. Last check: 2007-10-08)
		The PENROSE family is an old one and was established in Yorkshire, England, many generations before Robert PENROSE, the ancestor of the subject of the sketch left there in 1669.
		PENROSE was a Republican, but while giving his unfaltering support to the principles of that party by his ballot he neither sought nor neld public office.
		Penrose is now serving his second term as director of the poor of Bucks county, and is also a director of the Doylestown Trust Company, vice-president and director of the Philadelphia and Eastern Railway Company, and director of Fellowship Norse Company.
	www.rootsweb.com /~pabucks/penrose.html (2359 words)

	Welcome to the Bucks County PA GenWeb (Site not responding. Last check: 2007-10-08)
		Jonathan Penrose, the grandfather of the above named Samuel Penrose, was the eldest son of Robert and Mary (Heacock) Roberts, an account of whose arrival in America and subsequent settlement in Richland, Bucks county, is given elsewhere in this work.
		Jonathan was born March 1, 1736 (N.S.) in Richland township, and lived his whole life there, dying in 1797.
		Samuel Penrose, son of David and Mary (Hartzell) Penrose, was born in Rockhill township about the year 1800, and resided there and in Richland until 1842, when he purchased a farm of fifty acres in Plumstead, near Carversville, and removed thereon.
	www.rootsweb.com /~pabucks/hellyervalmorem.html (1000 words)

	emiliza (Site not responding. Last check: 2007-10-08)
		Stuart Hameroff and Roger Penrose have proposed a theory of the quantum mind in which the hollow cores of microtubules inside neurons form an environment capable of supporting quantum coherence and quantum-scale information processing and conscious awareness.
		A critical flaw in the Penrose theory is that it relies on the microtubules having two interchangable states that are equally likely and in continual interconversion.
		While the GDP vs. GTP bound states of tubulin allow for this possibility and thus Penrose's theory, the empirical data has shown that all microtubules are composed of only 13 or 26 GTP bound tubulin at the ends.
	www.emiliza.blogdrive.com (4058 words)

	ROGER PENROSE FACTS AND INFORMATION (Site not responding. Last check: 2007-10-08)
		Roger Penrose is the son of scientist Lionel S. Penrose and Margaret Leathes, and the brother of mathematician Oliver_Penrose and chess grandmaster Jonathan_Penrose.
		Roger Penrose is well-known for his 1974 discovery of Penrose_tilings, which are formed from two tiles that can only tile the plane aperiodically.
		He was influential in popularizing what are commonly known as Penrose_diagrams (causal diagrams).
	www.igopay.com /Roger_Penrose (1139 words)

	Special Agents Wheeler and Penrose
		Penrose is an eternal optimist, and maintains a cheerful and good-humored disposition in almost all situations.
		His father, Jonathan Penrose, was a farmer with a superstitious streak and consequently named this seventh son Isaiah Richard Penrose.
		Recently Penrose and Wheeler have been investigating a situation in New York City, where an alley killing bears all the marks of a particularly nasty serial killer who thinks he is a vampire.
	www.greatquail.com /vampire/agents.html (4933 words)

	Jonathan Penrose -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-08)
		He is the son of (Click link for more info and facts about Lionel Penrose) Lionel Penrose and brother of (Click link for more info and facts about Roger Penrose) Roger Penrose.
		He was of near grandmaster standard, but did not achieve the title in over-the-board play, despite some notable scalps (principally beating the world champion, Tal, at the 1960 Leipzig Olympiad.
		He moved instead to (Click link for more info and facts about Correspondence chess) Correspondence chess, where he was successful, winning the grandmaster title.
	www.absoluteastronomy.com /encyclopedia/j/jo/jonathan_penrose.htm (143 words)

	[No title]
		The winner, Britain's Jonathan Penrose, was one of the few players to defeat the late Mikhail Tal when he was world champion and at the height of his powers.
		Penrose was one of the runners-up in the 13th World Championship Final, won by M.M. Umansky of Russia;.
		In correspondence chess, it is much easier to analyze such positions to the limit and confirm that an ending is won or drawn, whereas over-the-board grandmasters, playing against a pressing time limit and without the freedom to move the pieces around before making their decision, may sometimes settle for second best.
	www.chesscafe.com /text/kibitz03.txt (1540 words)

	News (Site not responding. Last check: 2007-10-08)
		Grandmaster Jonathan Rowson won the first Scottish tournament of 2000 with victory at the Lothians Championship held in Wester Hailes, January 7-9.
		The new Edinburgh resident didn't have things all his own way and was lost for a few moves against Oliver Penrose, the title-holder for the previous two years.
		Penrose, 71, is the elder brother of 10 times British champion Jonathan Penrose.
	www.chessscotland.com /archives/loth2000.htm (502 words)

	British Federation for Correspondence Chess: BFCC-40 Tournament
		CC and FIDE GM Dr Jonathan Penrose won the OTB British Championship many consecutive times before concentrating his chess attentions on the correspondence game.
		The greatest team success was by Dr Jonathan Penrose, Adrian Hollis, Simon Webb, John Footner, John Toothill and Chris Shephard, who as Great Britain won the gold medals in Olympiad IX, and then as England in Olympiad X took the silver medal, a mere half point behind the victorious Soviet Union team.
		A further GM invitation tournament was staged a few years later to mark the Federation's 25th anniversary, which was won by Dr Jonathan Penrose.
	www.bfcc-online.org.uk /files/tourneys/bfcc-40.htm (633 words)

	Thomas BICKHAM, son of Caleb & grandson of Thomas
		In the household were one male under 16 (Jonathan), one male over 16 (Thomas), and two females (Sarah being one of them).
		These cousins were Charles, the son of Uncle Thomas Penrose; and Sarah, the daughter of Uncle Jonathan Penrose.
		In the "accounting" of the estate of Thomas Bickham, deceased, there were a number of cash items either received or paid that are of interest.
	home.earthlink.net /~chalfort/bickham/id14.html (1751 words)

	Marriage and Death Records of Gwynedd Friends Meeting Pennsylvania
		Jonathan Lukens of Gwynedd s/o Jesse and Susanna, dec'd m.
		Jonathan Thomas of Upper Dublin, s/o Spencer (dec'd) and Hephzibah m.
		Benjamin Cox and Jonathan Adamson 12/28/1826 to 5/3/1832
	www.gwyneddfriends.org /jenkinschapter12.htm (9199 words)

	Roger Penrose Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-08)
		Looking For roger penrose - Find roger penrose and more at Lycos Search.
		Find roger penrose - Your relevant result is a click away!
		Look for roger penrose - Find roger penrose at one of the best sites the Internet has to offer!
	www.variedtastes.com /encyclopedia/Roger_Penrose (1428 words)

	Penrose (Site not responding. Last check: 2007-10-08)
		Lionel Penrose (1898-1972), English geneticist, father of Roger and Jonathan Penrose
		Jonathan Penrose (born 1933), English chess grandmaster, son of Lionel Penrose
		Charles W. Penrose (1832–1925), a leader in The Church of Jesus Christ of Latter-day Saints.
	www.worldhistory.com /wiki/P/Penrose.htm (135 words)

	Caleb Bickham, Son of Thomas
		Witnesses to the codicil were Jonathan Penrose, Daniel Smith, and Thomas Steel.
		I nominate and appoint my said wife Mary and my beloved friends Miers Fisher and Jonathan Willis to be the executors of this my last will and testament and I do hereby revoke all other wills and testaments by me heretofore made and declare this and no other to be my last will and testament.
		Marriage Notes: Children of Caleb and wife Mary, listed in Southern District MM records as Jonathan born 13 October 1776, Anne born 5 May 1779, Mary born 18 February 1782, Caleb born 2 December 1785, Joshua born 18 December 1789, George W. born 7 April 1793, and Elizabeth Hopper born 16 December 1794.
	home.earthlink.net /~chalfort/bickham/id13.html (4462 words)

	BCSC 1999-2000 – THE FINAL TABLE (Site not responding. Last check: 2007-10-08)
		He is also the brother of Sir Roger Penrose, Professor of Mathematics at Oxford.
		Their brother is Grandmaster Jonathan Penrose, ten times British Chess Champion.
		Their father was Lionel Penrose, a medical geneticist and Chess Problemist.
	home.freeuk.net /bstephen/9900/final.html (381 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		Thanks to our readers we found out that, while nobel prize winning physicists Roger Penrose is a chess player and uses chess examples in many of his lectures, he is not a master.
		His Brother Jonathan Penrose is a Grand Master and 10 times British Champion.
		Jonathan Penrose was the chess master; Sir Roger is his brother.
	www.jaxchess.org /home/jan.html (2338 words)

	Encyclopedia article on Roger Penrose [EncycloZine] (Site not responding. Last check: 2007-10-08)
		Most mathematicians consider the claims made in Penrose's books to be mathematically incorrect.
		See the articles on Gödel's incompleteness theorem, the Church-Turing thesis and the halting problem for more on their reasoning.
		Two theories for the formation of quasicrystals resembling Penrose tilings (http://www.sciencenews.org/sn_arch/10_12_96/bob1.htm)
	encyclozine.com /Roger_Penrose (816 words)

	Stage Fright
		Late in the film Eve remains determined to exonerate Jonathan, but her romantic leanings have clearly shifted to Smith who at least is sending reciprocal signals.
		That he is the unwitting dupe of Charlotte Inwood is consistent with the novel, where it is in fact Charlotte and Freddy Williams who are the pair responsible for the murder of her husband.
		The screenwriters' choice to build tension in the film's final moments by transforming Jonathan from Charlotte's pawn to an outright psychopath becomes difficult to swallow, and is directly linked to the film's fatal flaw - which resulted in the need to abandon a long-planned humorous ending.
	stevenderosa.com /writingwithhitchcock/stagefright.html (1156 words)

	Blunders - Larry Parr - Chess News - World Chess Network (Site not responding. Last check: 2007-10-08)
		In Penrose-A. Thomas (British Championship, 1949), White obviously believed he had refuted an unsound gambit and could consolidate with solid positional moves.
		Lest the reader imagine that I have permitted a tasteful blunder into this Chess Beat, even the winner wrote, “This is really rather a horrid thing.
		Penrose was only a teenager when this game was played and had not yet begun his record of winning 10 British Championships.
	www.worldchessnetwork.com /English/chessNews/articles/blunders-3.php (800 words)

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