phi

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Black holes 'preceded galaxies'

Astronomers believe they have solved a cosmic chicken-and-egg question: what came first - black holes or galaxies?

news.bbc.co.uk

Heat may spark world food crisis

Half the world's population could face food crisis by 2100 as soaring temperatures cripple staple crops, scientists warn.

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US vows 'huge' marine protection

The US is to establish "the largest area of protected sea in the world", banning fishing and mining, around its Pacific islands.

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Animal matters

Scotland's debate over tests on primates

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First flight of algae-fuelled jet

Continental Airlines is the latest to test fly a jet biofuel, this time with a product derived partially from algae.

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Our writers talk back

Some of the previous contributors to the Green Room respond to readers' questions and comments.

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Zimbabwe troops 'eat elephants'

A Zimbabwean wildlife campaigner tells the BBC that soldiers are being given elephant meat to eat, as the economic crisis deepens.

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Venomous mammal caught on camera

Rare footage of one of the world's most strange and elusive mammals is captured by scientists.

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Eat it or lose it - why centuries of crop diversity are at risk

Centuries of crop diversity are at risk of being lost forever as farmers turn to just a few modern, high yielding varieties.

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Panda bites his third tourist in two years at Beijing zoo

A panda at Beijing zoo bites a man for the third time in two years.

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Beagle hunter

On a mission to find the most famous ship of science

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Mummy of female pharaoh uncovered

Egyptologists find remains of a mummy thought to belong to a queen who ruled 4,300 years ago, Egypt's antiquities chief announced.

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Tech fair offers greener vision

Analysts at the Consumer Electronics Show say green credentials of tech products will become critical to success.

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Poetry or science?

Is romantic love just a chemical cocktail?

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A deep-sea fish caught in the Pacific has mirrors for eyes

A deep-sea fish caught in the Pacific has eyes which use mirrors as well as lenses, scientists discover.

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Canadians claim South Pole record

A trio of Canadians claim a new record for the fastest trek across Antarctica to the South Pole.

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Holes give edge to new armour

Scientists from the UK Ministry of Defence (MoD) have devised ultra-hard vehicle armour to protect military personnel.

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China alert over bird flu death

Chinese authorities shut down and clean poultry markets in Hebei province, after the first human death in nearly a year.

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Mosquitoes make sweet love music

Sexy songs sung by mosquitoes in courtship could be key to curbing the spread of dengue fever, say scientists.

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Baby Jupiter's huge weight gain

The planet Jupiter must have gained mass fast during its infancy, according to astronomers.

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Earth Watch

Why it is hard to predict sudden environmental crises

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'Wolfman' returns

Explorer Jim McNeill tracks down Arctic wolves

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Everest trip helps critically ill

Blood oxygen levels recorded on a trip by medics to Everest could help the treatment of critically ill patients.

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Feilden's blog

Ground-breaking new technique in stem cell science

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Body repair 'could be ramped up'

A combination of drugs could trick the body into sending its repair mechanisms into overdrive, say scientists.

news.bbc.co.uk


 Science > Math > Recreations > Specific Numbers > phi

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Science > Math > Recreations > Specific Numbers > phi

phi:

Ask Dr. Math

A list of questions gathered pertaining to Fibonacci and Golden Ratio.

http://mathforum.org/library/drmath/sets/high_fibonacci-golden.html

Ask Yahoo

The column at yahoo.com answers the question "What is the "Golden Ratio" and what significance does it have?".

http://ask.yahoo.com/ask/19991201.html

Graand

Free Classified Ads Portal

www.graand.com

A brief introduction to Golden Ratio

An interview with George Cardas, describing his use of the Golden Ratio in high-end audio equipment cables.

http://www.tnt-audio.com/intervis/cardase.html

Colin and Greg's Golden Ratio Page

This is an informative site on an interesting aspect of Geometry: The Golden Ratio.

http://members.tripod.com/~ColinCool/mathindex.html

Constructing the Golden Rectangle

A description of the golden rectangle with formulas and drawings.

http://jwilson.coe.uga.edu/EMT669/Student.Folders/May.Leanne/Leanne%27s%20Page/Golden.Ratio/Golden.Ratio.html

10,000 Digits

A web page with phi to 10,000 places.

http://www.ac.wwu.edu/~stephan/webstuff/ratio.digits.html

20,000 Digits

A Project Gutenberg Etext.

http://www.gutenberg.org/etext/633

Division in Mean and Extreme Ratio

The base angle of the largest trinalges of most representations of Sri Yantra are about 52 degrees, close to the base angle of the Great Pyrmaid of Cheops, which is 51deg50'. With such a base angle, the ratio of the hypotenuse to half the base is phi, the Golden Ratio.

http://alumni.cse.ucsc.edu/~mikel/sriyantra/golden.html

The Golden Mean

Explains the theory behind the golden mean and how it can be constructed out of the Fibonacci series.

http://www.vashti.net/mceinc/golden.htm

The Golden Mean by Jerry Bonnell and Robert Nemiroff

A Project Gutenberg eBook with one million digits.

http://www.gutenberg.org/etext/744

Golden Number

A few words about Golden Number.

http://www.freewebs.com/goldenno/

The Golden Ratio

Explanation, presence in biology, art, and ancient art.

http://www.geocities.com/jyce3/

The Golden Ratio

Project with art references and object construction lessons.

http://www.geom.uiuc.edu/~demo5337/s97b/

The Golden Ratio

Examines the uses/occurrences of phi in biology, art, and ancient times.

http://library.thinkquest.org/C005449

The Golden Ratio

Extension of the number.

http://www.cs.arizona.edu/icon/oddsends/phi.htm

The Golden Ratio: A Golden Opportunity to Investigate Multiple Representations of a Problem

Essay and brief introduction by Edwin M. Dickey.

http://www.ite.sc.edu/dickey/golden/golden.html

The Golden Ratio and The Fibonacci Numbers

A presentation of the relationship between the Golden Ratio and the Fibonacci Numbers from the proceedings of the Friesian School.

http://www.friesian.com/golden.htm

Golden Rectangle

Defines the "Golden Rectangle" based on phi and shows some formulars and drawings of the results.

http://mathworld.wolfram.com/GoldenRectangle.html

The Golden Section

Short page describing the Golden Section. Includes a description of various constructions and history.

http://www.perseus.tufts.edu/GreekScience/Students/Tim/Golden.html

The Golden Section - the Number and Its Geometry

Simple definitions; exact value and first 2000 decimal places; finding the golden section; continued fractions. Simple tricks for your calculator, puzzles and games.

http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html

Golden`s Section Formulas

Explores a connection between Golden Section on the one hand and Fibonacci and Lucas numbers on the other...

http://milan.milanovic.org/math/english/relations/relation.html

The Greeks and the Golden Mean

A paper relating the early discovery of the Golden Mean by the ancient Greeks and their methods of constructing it.

http://community.middlebury.edu/~harris/Humanities/TheGoldenMean.html

Phi: That Golden Number

How to generate the number, GSP script for dividing segments, rectangle and other shapes, the rabbit problem and references.

http://jwilson.coe.uga.edu/emt669/Student.Folders/Frietag.Mark/Homepage/Goldenratio/goldenratio.html

The 'Phi-Nest'

Information on the Golden Section, Divine Proportion, Fibonacci series and phi.

http://goldennumber.net/

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