It occurs everywhere in nature, but I am having a tough time looking it up. I know it is in the neightborhood of 1: 1.618?
2006-07-02 07:44:55 · 14 answers · asked by snoweagleltd 4 in Science & Mathematics ➔ Mathematics
the golden ratio = 1.61803399
2006-07-02 07:48:29 · answer #1 · answered by Time-on-My-Hands 2 · 1⤊ 1⤋
2 characteristics of the golden ratio are the following. Let g = golden ratio
g^2 = g +1 so if g =1.618... g^2 = 2.618...
and
1/g = g-1 If g = 1.618... 1/g = 0.618...
You can take the first equation to form
g^2 -g -1 =0
Or you can take the second equation
1/g =(g-1)/1 and cross multiple to get
g*(g-1) =1
g^2 -g =1
g^2 -g -1 =0 will give the same equation as above.
solve for g using the quadratic equation
g =( 1 (+ -)squareroot(1 -4*1*-1) )/(2*1)
= (1 (+ -) squareroot (5) )/2
g is postive so
g = (1 +squareroot(5) )/2
2006-07-02 14:38:33 · answer #2 · answered by PC_Load_Letter 4 · 0⤊ 0⤋
The Golden Ratio, divine proportion, golden mean, et cetra, is known as Phi. It's value is precisely the ratio of (1+sqrt 5)x0.5
or approximately 1.618
2006-07-02 08:35:48 · answer #3 · answered by rayndeon 2 · 0⤊ 0⤋
I used to stay on the point of the old Order Amish in Pennsylvania, and so a options as I ever heard, none of them left the order. The Amish boys will be allowed as childrens to run free contained in the evenings after the chores were finished, and there became a custom said as "throwing your hat" the position a youthful guy would go away the farm by the back field, yet carry his hat on the back fence so his mom would comprehend he wasn't lost or in difficulty. on the some time previous domicile he might want to assemble his hat. I were given this tale from an Amish boy, so i comprehend it became real.
2016-11-30 03:52:41 · answer #4 · answered by ? 3 · 0⤊ 0⤋
this is the golden ratio---1.618033988749894848204586834365 6381177203 091798057628621354486227052604 6281890244 97072072041893911374847540880753868917521266338622 23536931793180060766726354433389086595939582905638 32266131992829026788067520876689250171169620703222 10432162695486262963136144381497587012203408058879 54454749246185695364864449241044320771344947049565 846788509874339442212544877066 47809158846074998871 24007652170575179788341662562494075890697040002812 10427621771117778053153171410117046665991466979873 17613560067087480710131795236894275219484353056783 00228785699782977834784587822891109762500302696156 17002504643382437764861028383126833037242926752631 16533924731671112115881863851331620384005222165791 28667529465490681131715993432359734949850904094762 132229810172610705961164562990 98162905552085247903 52406020172799747175342777592778625619432082750513 12181562855122248093947123414517022373580577278616 00868838295230459264787801788992199027077690389532 19681986151437803149974110692608867429622675756052 31727775203536139362107673893764556060605921658946 67595519004005559089
2006-07-02 09:35:54 · answer #5 · answered by if 1 · 0⤊ 0⤋
(1 + sqrt(5) ) /2 = 1.618...
2006-07-02 08:53:04 · answer #6 · answered by atheistforthebirthofjesus 6 · 0⤊ 0⤋
I read Da Vinci Code and I know the answer !!!!!!!!!
1.618
2006-07-02 08:42:05 · answer #7 · answered by The Game BOY ! 1 · 0⤊ 0⤋
It is exactly (1 + V5) / 2
So about 1,61803398874989.
This is a very close encounter to your number.
2006-07-02 10:57:17 · answer #8 · answered by Thermo 6 · 0⤊ 0⤋
(1+ sqrt(5)) / 2
2006-07-02 08:46:01 · answer #9 · answered by Anonymous · 0⤊ 0⤋
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html#phimillions
list phi to the 200,000
the number is best writen as a/b=b/a+b because it is a nonrepeting number
2006-07-02 08:39:43 · answer #10 · answered by specal k 5 · 0⤊ 0⤋