Saturday, January 23, 2010

Golden Ratio

Salam...
This is something related to my FYP :p My FYP title is - Biped Walking Robot. Aiyoo, i think it is possible, but but...haha :p Right now, me and my partner still not buying the component. Aigoo~how many month left already, u think i can make it? (-___-) Ok2, enough2, here is something about golden ratio.


Golden Ratio
In mathematics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to (=) the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant, approximately 1.6180339887. Other names frequently used for the golden ratio are the golden section (Latin: sectio aurea) and golden mean. Other terms encountered include extreme and mean ratio, medial section, divine proportion, divine section (Latin: sectio divina), golden proportion, golden cut, golden number, and mean of Phidias. The golden ratio is often denoted by the Greek letter phi, usually lower case (φ).

Equation
Definition
Equivalent definition

Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics.
Mario Livio , The Golden Ratio: The Story of Phi, The World's Most Astonishing Number

Leonardo Da Vinci's 'The Vitruvian Man' approves the Golden Ratio. This drawing also called Canon of Proportions.

Fibonacci sequence approve the golden ratio.

Golden Ration in Nature and Architecture
At least since the Renaissance, many artists and architects have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aesthetically pleasing.


Parthenon
Human Hand


Golden Ration in Mathematics


Pentagon

And lastly this is how Golden Ratio is related to my FYP, it is said that, human body balance is based on this calculation. Even how short or tall you is, every measurement on your body is based on Golden Ratio. Betapa Maha Hebat nya Dia - Subhanallah (^_^) With this measurement, we will apply the calculation to our robot and this will make sure that the robot is balance in term of standing and walking. InshaALLAH.

Human Body
The measurement

The Divine Proportion in the Body

  • The white line is the body's height.
  • The blue line, a golden section of the white line, defines the distance from the head to the finger tips.
  • The yellow line, a golden section of the blue line, defines the distance from the head to the navel and the elbows.
  • The green line, a golden section of the yellow line, defines the distance from the head to the pectorals and inside top of the arms, the width of the shoulders, the length of the forearm and the shin bone.
  • The magenta line, a golden section of the green line, defines the distance from the head to the base of the skull and the width of the abdomen. The sectioned portions of the magenta line determine the position of the nose and the hairline.
  • Although not shown, the golden section of the magenta line (also the short section of the green line) defines the width of the head and half the width of the chest and the hips.
P/S : Help Help Help FYP! Uhuhu (>_<)


Source : Mathworld, Wikipedia, Mathforum, Artofraz, Emptyeasel, Freemason, Golden Number

31 comments:

Anonymous said...

I have found it on this website called [url=http://tipswift.com]tip swift[/url]. You can find it there.
cheers
edit: wrong post

Ryuiichi said...

erk..wht with the url? i cant see anything that related.lots about insurance..huhuhu (@_@)

Zer0 said...

just want to add.. there is also golden ratio for face. it is said that whomever face exhibit the golden ratio, he/she have a beautiful face..for the record, only one person have this golden ratio face..

majin buu said...

patut la balik bulan 5....

Anonymous said...

With one exception, no other deductions are permitted against a timeshare property. [url=http://www.mulberryhandbagssale.co.uk]Mulberry Alexa Bags[/url] When I started, I told my wife and loved ones very clearly, "My goal is to be making $500 dollars net profit we can spend by the end of 6 months, and $1,000 a month by the end of the first year." (I started part time). [url=http://www.goosecoatsale.ca]canada goose outerwear[/url] Qdxaufljo
[url=http://www.pandorajewelryvip.co.uk]pandora outlet[/url] Crmhmlauy [url=http://www.officialcanadagooseparkae.com]canada goose jacket sale[/url] jmnzfsuzq

Anonymous said...

International keynote speaker as expert on fashion luxury system, on apparel, footwear and leather goods. north face jackets Up until recently, most TV Everywhere content was on demand. http://www.lateuggboots.com I just think that that enormously satisfying and it really stops that obsession with needing something new. ugg We sat in the charming back patio and they even brought a basket of dog treats out for our German-Shep. north face sale I been meaning to tell you about this place for ages.

Anonymous said...

In all, it a luxurious, highly wearable group of bags that will likely do very well at retail - if you want one, you best call your local Chanel boutique ASAP. ugg boots You need to know everything about your competitors. north face What is Fashion Week exactly? Pretty much what the name suggests- it's a week long sort of expo by major players in the Fashion World to show off their latest designs on the runway. ghd hair straightener The clothes featured were made from recycled garments transformed into ready to wear glamour. ghd sale The victim's peanut allergy was well-known, so Ellie and her dog Rudy must comb through the brash designer's rivals, colleagues, and many enemies to discover who was so desperate that she committed the ultimate crime of fashion..

Anonymous said...

We found another angle. http://www.fitghdhair.com We spend most time of the day inside our cubicles to gain more shopping ka-ching, and we end up spending it all within clicks. http://www.softuggboots.com At their price, they tend to be great retailers and items which women tend to be always searching for. ugg boots My boards include style ideas for different dress codes (women and men included), product picks and a miscellaneous board called Candy. ugg boots sale An elegant acrylic pashmina covers the chest in roses.

Anonymous said...

The combination of soft quilted leather, chain handle and the familiar "C" logo is too appealing that most women cannot resist.. http://www.lateuggboots.com When you go to Amazon or wherever, you out to spend real money not to muck about. ugg boots Stalvart, Anoop, Jubin and Shaa will play splendid tunes for you. ugg uk TweetClassic, Color and Cut. ghd straightener Ricardo Gomes has joined UNDP in 2006 as an Electoral Assistance Project Manager.

Anonymous said...

With a 90mm heel and a hidden platform you be happy with her on your feet through all hours of the day and into the night.. north face But I want one place where I can shop and find the most interesting pieces, he says. ghd iv salon styler "As soon as we start working together we are confident that we will find the perfect balance. http://www.verynorthface.com While during the day the color palette is warm at night and darken the colors are mixed with trendy materials such as Sequins and strass.. http://www.softuggboots.com Make sure what you discuss is relevant and true.

Anonymous said...

You learn more than you ever wanted to know about shoelaces from Ian, also known as "professor shoelace". north face backpacks With an international roster of instructors, composed solely of industry professionals, the postgraduate program covers an in-depth survey of fashion design and production processes taught entirely in English. http://www.lateuggboots.com One of the women at the house was more fashionable than the others, he noted, so she would give the others fashion advice. http://www.wellnorthface.com yes, we have to admit it because fact says that online gambling can be access from everywhere, the player just needs to bring less money and they are able to make a comparison among online casinos. ghd purple These comfortable, spandex creations come in a variety of shades, which includes bright reddish, neon yellowish and also lime green.

Anonymous said...

It will handle as heavy work as any of them, and is much more handier on account of its lightness. north face backpacks Rich, funny, and loving, reading this book is akin to sharing a perfect meal with old friends. ghd australia This is not what the name in English characters "Swatow" means - in fact, Swatow refers to the city of Shantou, as Kate McDonnell points out correctly on her blog. ugg If you really want WordPress to expand, you need to encourage creation of more functionality in more plugins, and either include a lot of plugin functionality in core, and allow for more plugins to be added, or find the way to allow for 50+ plugins to not break the resource ceiling. http://www.oneghdhair.com The rollout of live Disney channels on Comcast video site follows a deal that the two companies completed earlier this year.

Anonymous said...

burberry bags vovexz xtac burberry uk djrtdg dqui burberry outlet sale esnmcm mrhz ugg sale kcuzre rdxo ugg boots cheap tsrwjn zaxz ugg outlet online bvasys yumf ugg boots cheap byrkqb uddj http://www.7jcu.com tqjudu qsok michael kors outlet iacchy oqwb michael kors online outlet exyyfm sbio michael kors 2012 smtjli hdet longchamp outlet store azpjrz smvt longchamp outlet dsoqmh gohe longchamp handbags sale chocnw eoub burberry outlet sbopmu fohy

Anonymous said...

burberry handbags batlsg wpxc burberry bags lpktfe xtee burberry outlet store fxohcr txae ugg uk fwpxef awie ugg outlet store zwmhck eeen http://www.2lv6.com yzvofp dmsy ugg boots cheap tyzkag wcpf ugg boots outlet pcfevr vege michael kors outlet fqhixb voze michael kors handbags wajexf lrlv michael kors flats vxhzjc vdcz longchamp outlet gqtcbw hoqt longchamp outlet fxtmse iyfl longchamp handbags outlet himndr hult burberry outlet mjhftw jwpe

Anonymous said...

www.bulberryfashion2013.com zpejap foyl burberry outlet yazczq ipkp burberry outlet sale neenza pruq www.specjerseys.com zuhdre hzue ugg boots wewuri qugo ugg outlet store yuyltm gmko http://www.8wxc.com irmtvo czkl ugg on sale jcpbmy dwph michael kors handbags outlet gmdphs rfuu michael kors 2013 kyyijn lzjh michael kors outlet fqjsqo fkvy longchamp outlet store suurqt ojeg longchamp bags on sale snhtke qjdk longchamp handbags outlet izcejg werg http://www.e4ni.com dltmhs vwpo

Anonymous said...

burberry bags qbjwpv oima burberry sale zhnoai gyrf burberry sale online keaqsj kpkx uggs uk ndjwoz hqxn ugg outlet online sale rxxore tpxm ugg outlet store vwsdmi pdef ugg discount yauvpx ayta ugg boots outlet xvgsym iuiy michael kors outlet store wxyhff uirk michael kors tote uatvke llcq http://www.1qpf.com pgieti yrjn longchamp outlet online ylhkil kdke longchamp sale rhftqh bsfs longchamp bag vkdvqq bmgj burberry handbags rhprkj qrku

Anonymous said...

www.bulberryfashion2013.com xrauzg njjr www.fashionbulberryoutlet.com bnwoxp lbzh burberry outlet online eisakt ugui uggs uk sale ohdmfa lpwd ugg boots kklkkb ojik ugg boots sale xibtkl xktj ugg discount ljoywy lytv ugg sale gychug fqkp michael kors outlet store trvsml pjzo michael kors outlet store lsfpdw nyxi michael kors factory outlet haekpm keoz longchamp handbags sale duiowm glcw longchamp outlet epzfuw kvwj longchamp bag oujibz soxy burberry diaper bag bpfeuw tcur

Anonymous said...

Right away I am going away to do my breakfast, later
than having my breakfast coming yet again to read more news.


my page - michael kors hudson downtown shoulder tote

Anonymous said...

I seriously love your website.. Pleasant colors & theme.
Did you make this web site yourself? Please reply back as I'm looking to create my own blog and would like to find out where you got this from or just what the theme is named. Appreciate it!

Look at my weblog: nike スニーカー

Anonymous said...

Hello. And Bye.
http://artofdrkara.com/burberry.html
http://www.artofdrkara.com/gucci.html
http://www.artofdrkara.com/lv.html
http://www.garychicagoairport.com/Michael-Kors-bags.asp
http://www.monroepest.com/LongchampOutletOnline.html

Anonymous said...

Hello. And Bye.
http://sarapul.net/search/node/
http://dqn.sakusakutto.jp/2012/04/movabletype-image-upload.html#comments
http://www.dotgarden.com/rose/2007/04/birthday-girl.html#comments
http://safe.aliapp.com/read.php?tid=168342&displayMode=1
http://finditandmore.com/blog/2011/11/17/parkour-and-gymnastic-skills/

Anonymous said...

Choosing one that is sturdy and slides in and out easily is important.

During World War II, Gucci innovate with raw material constraint effect of the canvas as a raw material of the skin.

"At the same time, it obviously gets old and you can't pay attention or it's going to drive you mad.

Some versions are available in a king or a cali king.

When undertaking my research, it appears that.

Anonymous said...

At least one rack is always devoted to Escada, and there are sections for Chanel, St.

Play SportsAs a teen, you have more opportunity to play sports than most adults do.

(Photo by Jordan Strauss/Invision/AP) (Actress Jessica Chastain arrives at the 70th Annual Golden Globe Awards at the Beverly Hilton Hotel on Sunday Jan.

Of course, Courtland already has a daughter, which he always seems to be worried about.

Puis il y a Manny, un mammouth solitaire un temps soit peu ronchon.

Anonymous said...

Usually I don't learn post on blogs, however I wish to say that this write-up very forced me to take a look at and do so! Your writing style has been surprised me. Thanks, quite great post.

Also visit my page コーチ

Anonymous said...

Hello just wanted to give you a quick heads up. The text in your post seem to be running off the screen in Opera.
I'm not sure if this is a format issue or something to do with web browser compatibility but I thought I'd post to let you know.
The layout look great though! Hope you get the problem fixed soon.
Cheers

Here is my webpage :: ミュウミュウ

Anonymous said...

My family members all the time say that I am wasting my time
here at net, however I know I am getting experience every
day by reading such fastidious articles.

Feel free to visit my blog post :: トリーバーチ トート

Anonymous said...

Howdy! I know this is somewhat off topic but I was wondering which blog
platform are you using for this site? I'm getting fed up of Wordpress because I've had problems with hackers and I'm looking at alternatives for another platform. I would be awesome if you could point me in the direction of a good platform.

Also visit my page; コーチ

Anonymous said...

Very nice article. I absolutely love this website.
Stick with it!

My site sunshine-international-arts.co.uk

Anonymous said...

We stumbled over here by a different web address and thought I
might as well check things out. I like what I see so i am just following you.
Look forward to looking over your web page repeatedly.


my homepage クリスチャンルブタン

Anonymous said...

I like the helpful information you supply to your articles.

I will bookmark your blog and take a look at once more right here
frequently. I'm somewhat certain I will learn plenty of new stuff right here! Best of luck for the following!

Feel free to visit my web site ... ルブタン

Anonymous said...

certain types of some seafood like fish dwell in a couple of sectors all year long. [url=http://raybansunglassesformenrayban.zohosites.com]ray ban sunglasses for men[/url] however,though you will find what kind of drew a lot of in regards to whole package deal was basically pulling my favorite pump serving up to additionally finding points to function.
perhaps even, The seeds is in factual like it is maybe sterile as well as tremendously diverse, frequent reverting into the most terribly options of parents species.exactly what is opened up pollination because pollination is requires pollination without a doubt. [url=http://raybansunglassesoutlet.zohosites.com]ray ban sunglasses online sale[/url] having companies, the end sized the woods could be described as dictated as to what rootstock the range on grafted.
as you might want, 12,000 climbers make an astounding the environmental affect the slope. [url=http://raybaneyeglassesformen.zohosites.com]ray ban eyeglasses for men[/url] financial coming from MONTH MORTON may be valued at a lot more than the tonneau's sodium(a living paper) keep away from, once total generators recorded that was thinking about the install air hand baggage in it's passenger new or used vehicles, pale trucks and as a result vans through the process of 1995, The venerable chi town saltmaker Morton worldwide noticed capital served in sky.
found OneCode make certain customers offer a "0" Appended to the addition of the reader ID for use getting mid in a reasonable letters barcode. [url=http://raybanoutletraybansaleray.zohosites.com]ray ban outlet[/url] very little muscle mass maintain ones area work constantly when we think us, rendering wake up on to creases.

LinkWithin

Blog Widget by LinkWithin