posted April 24, 2005 10:15 AM              

lemme start by telling about some terms:
Fibonacci series ...the series of no.s:
1 1 2 3 5 8 13 21 34 ..... (and on and on)
is called a fibonacci series (named after the mathematician Fibonacci discovered it).
In this series we simply have that any no. is the sum of the previous 2 no.s (eg. 8 is sum of 5 and 3).

The no. phi:
its value is under root of 5 added to 1 and the resulting no. divide by 2.
(note: when we say A to the power 2 we mean A multiplied by A , when we say A to the power 5 we mean A*A*A*A*A and so on...)
Now consider this:
(let phi = A)
1.) 1A + 0 A to the power 1
2.) 1A + 1 A to the power 2
3.) 2A + 1 A to the power 3
4.) 3A + 2 A to the power 4
5.) 5A + 3 A to the power 5
6.) 8A + 5 A to the power 6
7.)13A + 8 A to the power 7

and so on... what do we have here?
cant you see the fibonacci sequence 1 1 2 3 5 8 13 down the line (against the serial no.s 1 2 3 4 5 6 7 )
(its no magic but plain mathematics! and i was playing with my calculator when i found this)
Now why such a relation is coming i will hint later but before that you need to know this:

The Golden Rectangle :
click here: http://goldennumber.net/face.htm
having done that go down the page and look at the human ear...
that is a series of golden rectangles ..
and look at that online page and do as instructed :

(you need a compass , a pencil a scale , an eraser and plain paper )
drwa a sqaure of any dimension ..
in anti clockwise order mark as ABCD its vertices.... A being the vertice left down.
at the middle point of the side AB of the square put the compass ... open it so that its another arm is on C , make a complete circle now.... extend the line AB in B's direction..to meet the arc at E . E is one of the 4 vertices of the golden rectabgle , the other being A and D .

now cut out a square from the rectangle BEFC, BEFC is a golden rectangle as also is the rectangle thats left after you have cut out the square.... .now keep on doing the thing as a cycle....
now draw that green colored line just like on the online page .... now note!

the ratio of the sides of any golkden rectangle is phi....also the rectangle that is situated right in the middle (in the centre of the spiral) if you multiply its area by phi , you get the area of the rectangle that contains the previous rectangle , now again if you multiply the area of this rectrangle by phi you get the area of the rectangle that contains this 1... and so on until the final rectangle....
and so another question , why in that site have they called the rectangle's series as a fibonmacci series.. is it because of the relation i previously showed to you between the fibonacci series and the different powers of the no. phi.
now consider this!

the rectangle which is the smallest in area multiplied itself by the no. of growth phi ... and gave birth to another rectangle of a similar nature (since the ratio of the sides are equal) .. and in the process it also turned clockwise....and the cycle continued ..... so going by this logic can we say that (since we are all are made up of right handed cork-screws) .. this is how the spiral in each part of or body grow????????????????

and so if we keep "dividing ourself (say only somehow symbolically) by the no. phi " somehow ... we could go back one step?????

is it some truth of astro-biology said with the language of mathematics????

posted April 24, 2005 11:49 AM              

heres a good site on phi.....
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html

http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi2DGeomTrig.html

posted April 25, 2005 01:33 AM              

now go down the page to the Golden Spiral..

actually there is a correction which i would want to make here .. and it is the same mistake that the author of that page has made..which i made in mi previous post (speaking now with reference to the rctangle on the page whose link is given above) .. they say as i wrote above in mi previous post that CDFH multiplied to phi gives the area of the next rectrangle in the spiral ie ABDF.. but thats not whats happening infact the ratio of the lengths of the 2 rectangles is phi and same for the breadths of the 2 rectangles.

the same for the 2 consecutive squares in the spiral.. the ratio of its sides is also phi.

and because in the fibonacci series we have the ratio of any 2 succesive no.s as phi , so it simply means that if you consider the length of any square (or rectangle), then it is equal to the sum of the sides of the previous 2 squares (or rectangles).

and so since phi is also called the divine proportion therefore so tell me if any of you know about it if spirals in our bodies also grow with phi as the building block or not , biology students...... rings any bell????

if you look at the spiral of that online page you loom at it this way.. IHG is a square and next we have the GFE square ..next the EDCJ one.. next the CBAH one.. and so can you not see a right handed spiral .
(if you turn the fingers of ur right hand with the spiral then the thumb points in the direction in which the spiral grows .. )

and well its not ended yet.. if you go on drawing an infinite number of squares .. and then look at the figure from some distance then what shall happen to the first central square ? it simply disappeared into a point ... and well point is from everything starts ..

theres one thing more: consider these set of no.s which infact is the fibonacci series..

1 1 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 .... ..... .........

if you take the ratio of any 2 no.s in the series which appear soones.. like say 55 and 34 ... so the ratio of these is 1.617647059

and if you take the ratio of the later no.s 75025 and 46368 it comes closer to phi .. it comes as 1.618033989 .. and so if we go infinitely ahead in the series and take ratio of consecutiove no.s it will be very close to phi.... now if spirals within us too grow "the phi way" then well since we have "come a long way" (the metabolic process) .. so .. we are now growing by a ratio almost equal to phi...

and so well.. (ha!ha!) if we somehow could divide ourself by phi ... shall we not reverse the process... and well if we want to stay the same age . we simply niether divide nor multiply .. and so remain the same.. all the time..
so if we could have a teacher who could mix maths with spirituality and teach us how to do it all....

immortals plz listen!

http://goldennumber.net/beauty.htm

;-)

posted April 25, 2005 02:07 AM              

click here to view how the spiral i have referred to throughout exists in our body and literally right infront of your eyes..

go down the page and look at that ear ... which God made the spiral way...

so are other spirals in the body too that way??
comments?

posted April 27, 2005 09:15 PM            

FishKitten, that number rings a bell, but I can't say I remember what it means. I think I also watched that movie, but I don't think I understood it much

posted April 29, 2005 02:30 AM              

216 is simply the cube of 6!!!!!
hahahahahahahahahahahahahaha

i min it rung a bell.. and was wondering what...
i searched it on google.. http://www.google.co.in/search?hl=en&q=the+number+216&meta=

and well there is a belt around mi thigh sesame for corporal mortification. so it pain can comfort..

just kidding ! hahahaha
i have read the da vinci code.. its a treat really!
infact i had gone mad as to on which page i read about the number phi .. . and finally found it in chapter 20..
the whole novel of a hundred something chapters from the last page i turned back.. and found it.

posted April 29, 2005 03:45 AM              

ok..

Dan Brown said that the divine proportion also called the golden ratio exists in the pentacle . i wanna tell you people of a chord connecting the pentacle with the pentagon that would be formed if you join the 5 vertices of the pentacle (a pentacle is simply a five pointed star .. ) .. available at.. http://images.google.co.in/images?hl=en&lr=&q=the+pentacle+&btnG=Search
ok.. you draw a pentagon of say 'a'cm side .. then if you extend its side so they meet together and eventually form a pentacle.. the pentacle now has 10 sides each of length 'b' and now if you join the vertices of the pentacle to form a pentagon which ofcourse has 5 sides each 1 of say 'c' cm length .... and so on continue the process a many no . of times ..
this you shall have:
a into phi times is b , b into phi timse is c and so on...
rings a bell???.. lemme make you recall..
remember i explained that the ratio of the rectangles' (rectangles occuring consecutively in the golden spiral) sides is phi.. and also the ratio of the squares' (occuring consecutively in the golden spiral ) sides is phi.. and also the rectangles are contained within the squares and you can as well say that the squares are contained withing the rectangles.... infact its simultaneous ...like a .... woman and a man spiralling about each other while kissing... who is spiralled around whom??
also the DNA..
and well.. that astro-biology statement that i made i gess is right .. check this out.. http://www.worldviewz.net/mathemagics_day4.html

to qoute from that poage: "As we begin to view our own D.N.A. and the shapes of our first mitotic divisions since fertilization we realize that all these sacred shapes are actually part of our Genetic Memory. e.g.: our first 4 cells pack into a Tetrahedron of 4 spheres" .. but go over vthere there's lots more....

and well... something i have till now with held ......
1.) i read about the golden spiral in a book of vedic mathematics for students of class 8th... it did not go in esoteric detail only restricted itself to mathematics.. (Vedic Mathematics for (Indian) schools by Glover..)
(the Vedas are the sacred text of the hindus.. there are 4 vedas..)
2.)read about the spiral in Dan Brown's The Da Vinci Code and Star Signs..
3.) then combined everything .. !

posted October 09, 2019 01:24 AM            

quote:

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Originally posted by ballerina:
Interesting...

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