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Topic: Penrose

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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 (1480 words)

	World of Escher - Roger Penrose
		Roger Penrose, a professor of mathematics at the University of Oxford in England, pursues an active interest in recreational math which he shared with his father.
		Penrose began to work on the problem of whether a set of shapes could be found which would tile a surface but without generating a repeating pattern (known as quasi-symmetry).
		Penrose was raised in a family with strong mathematical interests: his mother was a doctor, his father, a medical geneticist, used math in his work as well as his recreation, one brother is a mathematician, another was ten times British chess champion.
	www.worldofescher.com /misc/penrose.html (644 words)

	Penrose tiling - Wikipedia, the free encyclopedia
		A Penrose tiling is pattern of tiles, discovered in 1973 by mathematical physicist Roger Penrose and around the same time by amateur mathematician Robert Ammann, which could completely cover an infinite plane, but only in a pattern which is non-repeating (aperiodic).
		That it must be possible to tile the plane aperiodically was first proven as a general proposition in 1966 by Robert Berger, who shortly thereafter invented the first aperiodic set of tiles, consisting of 20426 distinct tile shapes.
		Penrose and Pentaplex filed a lawsuit against Kimberly-Clark for breach of copyright.
	en.wikipedia.org /wiki/Penrose_tiling (749 words)

	The Geometry Junkyard: Penrose Tiling
		Penrose was not the first to discover aperiodic tilings, but his is probably the most well-known.
		The penrose tile and the golden mean: towards hyperdimensional intergeometry.
		Penrose tiles and how their visualization leads to strange looks from priests and small children.
	www.ics.uci.edu /~eppstein/junkyard/penrose.html (868 words)

	GAPS IN PENROSE'S TOILINGS (Site not responding. Last check: 2007-11-01)
		Penrose's arguments in favor of A1a and A1c are where most of the technical machinery is brought to bear.
		Penrose has a problem for his assumption regarding the "soundness" of human mathematical capacities when the careful, reflective performance of mathematicians on relatively simple statements, such as (pv~p), the axiom of choice, and the existence of infinite sets, is discrepant.
		From Penrose's perspective, therefore, it is important to have hard evidence for the existence of such postulated nonalgorithmic processes apart from the contentious case at hand, namely the mind/brain.
	philosophy.ucsd.edu /EPL/Penrose.html (8323 words)

	Roger Penrose: A Knight on the tiles
		Penrose is unusual in believing that quantum mechanics will have to change in order to fit into such a unified theory.
		Penrose's ideas on consciousness are, to say the least, controversial in the AI community.
		Penrose shows himself an unabashed realist, by proclaiming that acting conscious is not the same as being conscious.
	plus.maths.org /issue18/features/penrose (2258 words)

	Book review of Roger Penrose
		Penrose is obsessed with that limit and is probably aware that all neurobiology is using brain models that are computationally equivalent to Turing machines (neurobiologists are happy to claim that they can simulate their models on a computer, but Penrose is happy to counter that this proves their model cannot be correct).
		Penrose believes that consciousness is a manifestation of the quantum cytoskeletal state and its interplay between quantum and classical levels of activity.
		Penrose is led to believe in a Platonic scenario of conscious states that exist in a world of their own, and to which our minds have access.
	www.thymos.com /mind/penrose.html (722 words)

	Review of Penrose, The Emperor's New Mind
		Penrose sees that he has no hope of overthrowing the case for strong AI unless he can dislodge one of the most imperturbable objects in the intellectual universe: something I will call the Cathedral of Science.
		Penrose neglects to provide any argument to show what those limits are, and this is surprising, since this is where most of the attention is focussed in artificial intelligence today.
		I may well have missed a crucial ingredient in Penrose's argument that somehow obviates this criticism, but it is disconcerting that he does not even address the issue, and often writes as if an algorithm could have only the powers it could be proven mathematically to have in the worst case.
	ase.tufts.edu /cogstud/papers/penrose.htm (2883 words)

	Bed Breakfast Lodging Western Massachusetts Accomodations Northampton Near Colleges
		The village of Haydenville is at the foot of the Hampshire Hilltowns; gateway to the Berkshires of Western Massachusetts.
		Penrose Bed and Breakfast Inn is known for Victorian elegance, and was selected for a national Christmas television special with the Mark Twain House.
		Penrose Inn provides bed and breakfast lodging accommodation alternatives for visitors to the 5 College Area as well as visitors that seek day trips to Tanglewood, Lenox Massachusetts, and Mass MOCA.
	www.penroseinn.com (413 words)

	Rogers Penrose and Quantum Consciousness
		Roger Penrose is slight in figure and gentle in mien, and he is an Roddly diffident chauffeur for a man who has just proposed how the entire universe-including the enigma of human consciousness-might work.
		Penrose proposes that the physiological process underlying a given thought may initially involve a number of superposed quantum states, each of which performs a calculation of sorts.
		The upshot of the exercise, as far as Penrose is concemed, is that "the mere carrying out of a successful algorithm does not in itself imply that any understanding has taken place." ths conclusion certainly holds if it is directed at the executing apparatus, whether flesh or hardware.
	dhushara.tripod.com /book/quantcos/penrose/penr.htm (11315 words)

	Tassellatura di Penrose: Tutte le informazioni su Tassellatura di Penrose su Encyclopedia.it (Site not responding. Last check: 2007-11-01)
		Esistono più insiemi possibili di tasselli di Penrose.
		La tassellatura di Penrose è stata creata per essere un'interessante struttura matematica ma si è scoperto dopo che la disposizione degli atomi in alcuni materiali segue lo stesso schema di una tassellatura di Penrose.
		Recentemente è stato dimostrato che una tassellatura di Penrose è colorabile con tre colori.
	www.encyclopedia.it /t/ta/tassellatura_di_penrose.html (423 words)

	3.3
		The first [680] in the Penrose family of replicators was a set of “A” and “B” type tilt-blocks, cut from plywood or vulcanite, and placed on a track where they could slide freely but not pass each other.
		Penrose [681-685] went on to devise an ingenious interlocking column design which allowed the replication of a multipart machine which is free to move about in a 2-dimensional agitation environment strewn with a random assortment of premanufactured constitutive columns.
		Explains Penrose [683]: “When the neutral unit at left joins the seed (b), it disengages one of the hooks holding the seed together and sets the blocking mechanism so that only one more neutral unit can be added.
	www.molecularassembler.com /KSRM/3.3.htm (602 words)

	Amazon.com: The Emperor's New Mind: Books: Roger Penrose (Site not responding. Last check: 2007-11-01)
		Penrose claims that there is an intimate, perhaps unknowable relation between quantum effects and our thinking, and ultimately derives his anti-AI stance from his proposition that some, if not all, of our thinking is non-algorithmic.
		Penrose would protest there are none; Dennett, Dawkins, Hofstadter and their colleagues and adherents (including me) would beg to differ, and point to a lot of literature that Penrose hasn't read.
		Penrose uses ideas from the theory of computation, and Godel's incompleteness theorem to attempt to show that algorithmic processes cannot be used to explain the diversity of human consciousness.
	www.amazon.com /Emperors-New-Mind-Roger-Penrose/dp/0140145346 (3349 words)

	Penrose Tilings (Science U)
		Penrose tilings are a class of beautiful and fascinating nonperiodic tilings.
		Penrose tiling are constructed from two tiles, with very specific shapes, illustrated on the left.
		The key to the Penrose rules is the bottom illustration to the left.
	www.scienceu.com /geometry/articles/tiling/penrose.html (575 words)

	BBC NEWS \| Business \| Q&A: Penrose Inquiry
		Lord Penrose was asked in 2001 by the Treasury to investigate the history of the Equitable, and to find out who was to blame, what lessons could be learned and whether there was a failure by the regulatory authorities.
		Penrose had to examine witnesses and documentation dating way back to the 1960s, when the Equitable started to offer a guaranteed annuity to the public.
		Lord Penrose is not the first and is likely not to be the last person to scrutinise the Equitable scandal.
	news.bbc.co.uk /1/hi/business/3228621.stm (743 words)

	Penrose Neighborhood
		The Penrose Community Housing Corporation was organized in March 1991 under the direction of Operation ConServ with technical assistance from Operation Impact.
		The Housing Corporation consists of seven residents of Penrose, was appointed by Mayor Vincent Schoemehl, with approval by the board of Aldermen by resolution.
		The Penrose Housing Corporation believes that the increase of owner-occupied units and the decrease of investment rental property is necessary to stabilize the community and provide better control over what happens in their neighborhood.
	stlouis.missouri.org /penrose/housing.htm (940 words)

	The Emperor's New Mind, by Roger Penrose
		The range of issues addressed by Penrose is vast, from Relativity and quantum mechanics, to many questions about mathematics, and ultimately to important questions about Artificial Intelligence; and Penrose's authority as one of the greatest living mathematicians to address these things is unique.
		This did not mean that Penrose could actually visualize a proper Lobachevskian space or a four-dimensional Euclidean space, just that he expected that this would be possible as we get used to these things in the future.
		Escher's "depiction" of Lobachevskian space in Penrose's book, or any such depiction of a non-Euclidean space, seems to involve the use of curved Euclidean lines to represent "straight" non-Euclidean lines (as in the triangle on page 156) or results in uniform or congruent non-Euclidean figures becoming distorted in shape or in size.
	www.friesian.com /penrose.htm (2215 words)

	On the road with Roger Penrose (September 2004) - Review - PhysicsWeb
		Before discussing Penrose's success as an expositor in dealing with well established and less well established ideas, I must warn the prospective reader that this is not a book for someone who does not like mathematics.
		Penrose manfully suggests that if you have little taste for equations, you might still enjoy the book in the way that he used to enjoy his parents' chess books: although not interested in the game himself, he would uncomprehendingly skim through the moves to get some sense of the drama.
		But Penrose is an honourable man, and, like a good scientist, proposes an experiment to test his non-standard predictions.
	www.physicsweb.org /article/review/17/9/1 (1195 words)

	Penrose Press (Site not responding. Last check: 2007-11-01)
		Penrose Press began in Utrecht, the Netherlands, in 1988.
		In 1989, Penrose Press began publishing the "International Directory of Design", the most complete international directory of design educational programs.
		The directory's website remained dormant for about two years, until a new version that could fulfill the new requirements of a web-only publication could be developed.
	www.penrose-press.com (235 words)

	Penrose Tiles
		The repeat polygon is a rhombus with vertices in the centers of the blue paired decagons.
		The purple region at the center is outlined by a decagon consisting of a kite and dart edge.
		If a patch of tiles in a Penrose tiling has a diameter d, there will be an identical patch within a distance of at most 2d and most likely within d.
	www.uwgb.edu /dutchs/symmetry/penrose.htm (932 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		Penrose left the majority of his estate to the Foundation upon his death in 1939.
		Penrose and his design team imported artisans who crafted elaborate interior and exterior details fashioned after the opulence and elegance that the Penroses had experienced in Europe and the Orient.
		Spencer Penrose, owner of The Broadmoor Hotel, had acquired the Railway in 1925 and efforts were begun to build a compact, self-contained railcar, which could carry fewer passengers during the slow parts of the season.
	academy.d20.co.edu /ate/penrose.html (645 words)

	Handbook of Texas Online: (Site not responding. Last check: 2007-11-01)
		Richard Penrose, Jr., geologist, was born on December 17, 1863, in Philadelphia, Pennsylvania, to Richard Alexander Fullerton and Sarah Hannah (Boies) Penrose of Rockland, Maryland.
		Penrose attended a school run by the Misses Hough, across the street from his Philadelphia residence.
		Penrose was active in the Geological Society of America, which he supported enthusiastically.
	www.tsha.utexas.edu /handbook/online/articles/PP/fpe58.html (811 words)

	Dictionary of Philosophy of Mind - quantum consciousness (Site not responding. Last check: 2007-11-01)
		Part B gets into much of Penrose's non-consciousness-related thought, in particular a theory of quantum gravity that he has been working on for some time.
		Details on Penrose's argument are best found in his Shadows of the Mind (1994), and details of the criticisms can be found in Grush and Churchland (1995) [a draft of this paper is available here].
		Penrose and Hameroff (1995) is a brief reply to the criticisms of Grush and Churchland.
	www.artsci.wustl.edu /~philos/MindDict/quantum.html (1251 words)

	Penrose Cancer Center
		It is through our mission of furthering the healing ministry of Christ that we stand apart form the rest.
		The Penrose Cancer Center is accredited by the Commision on Cancer (CoC).
		Penrose received their first accreditation in 1952 and has maintained this status ever since.
	www.penrosecancercenter.org (159 words)

	Penrose Neighborhood Association Home Page
		Penrose neighborhood meetings are the third Tuesday of every month at 7:30 p.m.
		Penrose is lucky to have 3 parks, Penrose, Butler Holmes, and Towers Park.
		Penrose now has an updated vision of needed improvements to our neighborhood and is one major step closer to obtaining funding for improvements already in the funding process.
	www.on-the-pike.com /penrose (882 words)

	Wired News: Penrose: The Answer's Not 42
		Penrose makes a unique tour guide, overhauling components of big-bang cosmology and quantum mechanics as some tinkerers might take out and reinstall their car's transmission.
		For instance, despite the stampede of physicists today seeking to unify all physical theories under the aegis of string theory, Penrose thinks his colleagues are on a wild goose chase.
		Penrose argued that the underlying assumption of string theory -- that space-time consists of anywhere from 10 to 26 dimensions -- is simply wrongheaded and unmotivated by either intuition or evidence.
	www.wired.com /news/culture/0,1284,66751,00.html?tw=newsletter_topstories_html (565 words)

	penrose
		Although it was situated in Penrose, it was called the "Thatcher Cemetery." Two children, who died from diphtheria in 1906, were some of the first people to be buried in this cemetery.
		The cemetery was maintained by both Thatcher and Penrose until Thatcher joined Bothwell in a joint community cemetery.
		Some of the information on this website was obtained from the book, "Penrose Ward," sexton, and family records.
	www.lofthouse.com /boxelder/Penrose/penrose.htm (145 words)

	Amazon.co.uk: The Emperor's New Mind: Concerning Computers, Minds and the Laws of Physics: Books: Roger Penrose (Site not responding. Last check: 2007-11-01)
		Penrose covers the subjects in that book in two chapters of this one, and in a much more satisfying way because he is not afraid to use math.
		Sir Roger Penrose provides a contemporary review of theoretical computing, mathematical physics and briefly, the biology of the brain to create a case for the non-computability of the underlying functions of conciousness.
		Roger Penrose, one of the world's top physicists, summarizes modern science, examining topics including Turing machines, relativity, quantum physics, fl holes, etc. At the end, he argues that the human mind can not be simulated by computers or anything algorithmic.
	www.amazon.co.uk /Emperors-New-Mind-Concerning-Computers/dp/0192861980 (1384 words)

	Penrose Tiles (Site not responding. Last check: 2007-11-01)
		The classic Penrose tiles consist of two rhombi with angles 72 and 36 degrees.
		There's a fancy way to generate Penrose tile patterns like this that involves intersecting a plane at a certain angle with a five-dimensional integer lattice.
		All of the faces of the five-dimensional integer lattice that lie within a certain distance of the plane are projected onto the plane, and you either wind up with a set of Penrose tiles or a really bad seizure.
	www.traipse.com /penrose_tiles/index.html (158 words)

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