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Thread: The Divine Proportion

  1. #1
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    The Divine Proportion

    What is Phi?

    Gold9472: I read about this in the DaVinci Code, and I thought it was incredible.


    Leonardo DaVinci's "The Vitruvian Man"

    Phi ( = 1.618033988749895... ), most often pronounced fi like "fee" is simply an irrational number like pi ( p = 3.14159265358979... ), but one with many unusual mathematical properties.

    Phi is the basis for the Golden Section, Ratio or Mean

    The ratio, or proportion, determined by Phi (1.618...) was known to the Greeks as the "Golden Section" and to Renaissance artists as the "Divine Proportion"* It is also called the Golden Ratio and the Golden Mean.

    Phi, like Pi, is a ratio defined by a geometric construction

    Just as pi (p) is the ratio of the circumference of a circle to its diameter, phi () is simply the ratio of the line segments that result when a line is divided in one very special and unique way.

    Divide a line so that:



    the ratio of the length of the entire line (A)
    to the length of larger line segment (B)

    is the same as

    the ratio of the length of the larger line segment (B)
    to the length of the smaller line segment (C).*

    This happens only at the point where:

    A is 1.618... times B and B is 1.618... times C.

    Alternatively, C is 0.618... of B and B is 0.618... of A.

    Phi with an upper case "P" is 1.6180339887..., while phi with a lower case "p" is 0.6180339887, the reciprocal of Phi and also Phi minus 1.

    What makes phi even more unusual is that it can be derived in many ways and shows up in relationships throughout the universe.

    Phi can be derived through:

    A numerical series discovered by Leonardo Fibonacci

    Mathematics

    Geometry

    Phi appears in:

    The proportions of the human body

    The proportions of many other animals

    Plants

    DNA

    The solar system

    Art and architecture

    Music

    Population growth

    The stock market

    The Bible and in theology
    No One Knows Everything. Only Together May We Find The Truth JG


  2. #2
    princesskittypoo Guest
    Quote Originally Posted by Gold9472
    What is Phi?

    Gold9472: I read about this in the DaVinci Code, and I thought it was incredible.


    Leonardo DaVinci's "The Vitruvian Man"

    Phi ( = 1.618033988749895... ), most often pronounced fi like "fee" is simply an irrational number like pi ( p = 3.14159265358979... ), but one with many unusual mathematical properties.

    Phi is the basis for the Golden Section, Ratio or Mean

    The ratio, or proportion, determined by Phi (1.618...) was known to the Greeks as the "Golden Section" and to Renaissance artists as the "Divine Proportion"* It is also called the Golden Ratio and the Golden Mean.

    Phi, like Pi, is a ratio defined by a geometric construction

    Just as pi (p) is the ratio of the circumference of a circle to its diameter, phi () is simply the ratio of the line segments that result when a line is divided in one very special and unique way.

    Divide a line so that:



    the ratio of the length of the entire line (A)
    to the length of larger line segment (B)

    is the same as

    the ratio of the length of the larger line segment (B)
    to the length of the smaller line segment (C).*

    This happens only at the point where:

    A is 1.618... times B and B is 1.618... times C.

    Alternatively, C is 0.618... of B and B is 0.618... of A.

    Phi with an upper case "P" is 1.6180339887..., while phi with a lower case "p" is 0.6180339887, the reciprocal of Phi and also Phi minus 1.

    What makes phi even more unusual is that it can be derived in many ways and shows up in relationships throughout the universe.

    Phi can be derived through:

    A numerical series discovered by Leonardo Fibonacci

    Mathematics

    Geometry

    Phi appears in:

    The proportions of the human body

    The proportions of many other animals

    Plants

    DNA

    The solar system

    Art and architecture

    Music

    Population growth

    The stock market

    The Bible and in theology
    huh???

  3. #3
    somebigguy Guest
    Quote Originally Posted by princesskittypoo
    huh???
    Hahaha!!! Don't worry, Gold's posts have that affect on people. Just ignore him, maybe he'll go away.

  4. #4
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    Quote Originally Posted by somebigguy
    Hahaha!!! Don't worry, Gold's posts have that affect on people. Just ignore him, maybe he'll go away.
    You need to understand what this is in order to appreciate it...

    Did you ever notice that the width of your arms stretched out is exactly the same as your height? That has something to do with this...
    No One Knows Everything. Only Together May We Find The Truth JG


  5. #5
    somebigguy Guest
    Quote Originally Posted by Gold9472
    You need to understand what this is in order to appreciate it...

    Did you ever notice that the width of your arms stretched out is exactly the same as your height? That has something to do with this...
    I'm just buggin' ya Gold!! But seriously, STFU.

  6. #6
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    Quote Originally Posted by somebigguy
    I'm just buggin' ya Gold!! But seriously, STFU.
    Did you play Mouse Race yet?
    No One Knows Everything. Only Together May We Find The Truth JG


  7. #7
    somebigguy Guest
    Quote Originally Posted by Gold9472
    Did you play Mouse Race yet?
    No, but I did take your Donky Kong score away from you already. Where's all the other boards?

  8. #8
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    Quote Originally Posted by somebigguy
    No, but I did take your Donky Kong score away from you already. Where's all the other boards?
    S373N went out for a bit... don't worry... more games on the way.
    No One Knows Everything. Only Together May We Find The Truth JG


  9. #9
    Join Date
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    I spent more money for you assholes. :D
    No One Knows Everything. Only Together May We Find The Truth JG


  10. #10
    Giggles Guest
    Quote Originally Posted by Gold9472
    What is Phi?

    Gold9472: I read about this in the DaVinci Code, and I thought it was incredible.


    Leonardo DaVinci's "The Vitruvian Man"

    Phi ( = 1.618033988749895... ), most often pronounced fi like "fee" is simply an irrational number like pi ( p = 3.14159265358979... ), but one with many unusual mathematical properties.

    Phi is the basis for the Golden Section, Ratio or Mean

    The ratio, or proportion, determined by Phi (1.618...) was known to the Greeks as the "Golden Section" and to Renaissance artists as the "Divine Proportion"* It is also called the Golden Ratio and the Golden Mean.

    Phi, like Pi, is a ratio defined by a geometric construction

    Just as pi (p) is the ratio of the circumference of a circle to its diameter, phi () is simply the ratio of the line segments that result when a line is divided in one very special and unique way.

    Divide a line so that:



    the ratio of the length of the entire line (A)
    to the length of larger line segment (B)

    is the same as

    the ratio of the length of the larger line segment (B)
    to the length of the smaller line segment (C).*

    This happens only at the point where:

    A is 1.618... times B and B is 1.618... times C.

    Alternatively, C is 0.618... of B and B is 0.618... of A.

    Phi with an upper case "P" is 1.6180339887..., while phi with a lower case "p" is 0.6180339887, the reciprocal of Phi and also Phi minus 1.

    What makes phi even more unusual is that it can be derived in many ways and shows up in relationships throughout the universe.

    Phi can be derived through:

    A numerical series discovered by Leonardo Fibonacci

    Mathematics

    Geometry

    Phi appears in:

    The proportions of the human body

    The proportions of many other animals

    Plants

    DNA

    The solar system

    Art and architecture

    Music

    Population growth

    The stock market

    The Bible and in theology
    Don't talk about math, I hate math (gives a pathetic look).

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