The Golden Ratio

[alex whitmer]

I am hoping somebody here can help me calculate the golden Ratio. I have the number 35. It will be the number of units I use to construct a painting. How will 35 break down?

Alex

[Epsilon=One]

I am hoping somebody here can help me calculate the golden Ratio. I have the number 35. It will be the number of units I use to construct a painting. How will 35 break down?Google: "Golden Ratio" for much info; or.

See: The Golden Ratio, Phi, "Φ" at: www.101123.com/GR or "Click" this line. (www.101123.com/GR)

[Philomath]

Also, "The Golden Ratio" by Mario Livio is an excellent read for someone not already familiar with this number. It goes through its definition and shows its presence in many different areas of nature. Enlightening for those of us who enjoy this type of book.

[HallsofIvy]

The "golden ratio" is (1+ sqrt(5))/2 or approximately 1.618.

I have no idea what '35' has to do with that, how you are using "35 units" to construct a painting, or how you want '35' to "break down".

[arikwex]

The golden ratio can be visualized as follows.

Two line segments A and B.

|<-------- A --------->|<---- B------> |
-----------------------X----------------
|<----------------- A+B -------------->|

Given:
A/B = (A+B)/A

So the golden ratio is the ratio of A/B when B=1.
You're "35" could mean the value of A+B???

So lets try solving this?
A/B = 1.618.... = 35/A
35 = A*1.618...
A = 21.6....

So I'll assume your dealing with integers because you said "consturction" or something.

Sooooooo, we have:
A = 22
and
B*1.618 = A
thus, (rounded)
B = 13

So you're consturction can approximate the golden ratio with the proportions 22/13.

Which is = 1.69
I'd like to point out how awful of an approximation that is, but that's all you can get with integer level accuracy.

Good luck!