# golden

1. ### golden globe2016 73rd

https://www.reddit.com/40cz41/ https://www.reddit.com/40d0h7/ https://www.reddit.com/40d08d/ https://www.reddit.com/40d17g/ https://www.reddit.com/40d8gd/ https://www.reddit.com/40d20s/ https://www.reddit.com/40d9j1/ https://www.reddit.com/40da0d/ https://www.reddit.com/40dcdo/...
2. ### Prove that by removing 1X1 block from a golden rectangle, it will remain golden

Prove that by removing a 1X1 block from a golden rectangle, it will remain golden I am having trouble coming up with a proof with this. I am a beginning student in Discrete Math and do not yet have ability to do a problem like this, but I can benifit greatly by seeing a proof. Question: The...
3. ### Golden Globe fashion

Keeping all the stuff at right place helps in easy organization of things Golden Globes 2015 Live Stream Golden Globe Awards 2015 Live Stream Golden Globes 2015 Live Stream Golden Globe Awards 2015 Live Stream
4. ### Golden ratio pentagon

So I need to show that the diagonal x satisfies the following ratio x/1=1/(x-1). I know this turns out to be the golden ratio, But I cant seem to find the similar triangles in order to find this ratio in this pentagon. Any help is appreciated, thanks
5. ### Comparing ratios to the Golden Ratio

Hi all, I'm currently trying to write an equation or piece of logic which will allow me to test ratios against the Golden Ratio to find the closest match. The ratios I need to test range from 1:255 to 255:1 (to several decimal places) and I want to convert these ratios into a decimal (z)...
6. ### Comparing ratios to the Golden Ratio

Hi all, I'm currently trying to write an equation or piece of logic which will allow me to test ratios against the Golden Ratio to find the closest match. The ratios I need to test range from 1:255 to 255:1 (to several decimal places) and I want to convert these ratios into a decimal (z)...
7. ### difference between Golden Mean Grid and The Golden Ratio?

I'm in school, I don't quite get the difference between Golden Mean Grid and The Golden Ratio. I'm trying to apply the Golden Mean Grid to a painting, yikes! Don't understand why, and google isn't helping Thanks, nice to be at this forum with you folks
8. ### Determining step size using golden ratio

I would like to calculate the minimum of the function g(x,y) = (y-x^2)^2+(1.1 -x)^2 using the steepest descent method. I am, however, stuck at determining the step size. I want to calculate the step size using golden ratio, however, as I have only use the method in 1 dimension, I don't know how...
9. ### calculate the number of best fit golden rectangles in a given area

Hello all :-) Here's an interesting one that is not as simple as it seems at first. Lets say my daughter has a piece of paper. It has a height (H) and width (W). She wants to draw an arial view of a number of farmers fields (N). The thing is she's been learning about the golden ratio...
10. ### About the golden ratio

Is this equality valid? I just noticed it, and I haven't heard of it before. 2cos(\frac{\pi }{5})=\varphi,~where~\varphi~is~the~golden~ratio.
11. ### Help proving the golden ratio is "hereditary".

Need a little help with this excercise: "Show that the golden ratio is hereditary. For this, take a CeAB, which divides this segment according to the golden ratio and a DeAC, such as AD ≡ CB. All you need to do is show that AC/AD = AD/DC. Rember that AC^2 = AB.CB." Thanks
12. ### fibonacci and the golden ratio proof

any help on getting started would be great. i really don't know where to go with this as i'm useless with limits. alpha is the golden ration ((1+sqrt5)/2) f2k etc are part of the fibonacci sequence prove lim f2k/f2k+1 = 1/alpha k->infinity
13. ### evaluating pi and e from integer series like golden ratio

Apologies if I'm in the wrong forum. The ratio of two successive terms in the Fibonacci series converges on the golden ratio. Are there equivalent number series that evaluate pi or e?
14. ### Calculating Phi (golden ratio) - continued fraction.

My teacher told our class that the \varphi can be calculated by: 1 + \frac{1}{1 + \frac{1}{1+ \frac{1}{...}}} I don't understand how or why this works. I understand that as the denominators' continue on forever, the 1 + (fraction) changes ever so slightly. How do I go about...
15. ### Golden Ratio Based from 1..10 ?

My wife and I were having this discussion on the golden ratio being used to measure beauty and thought it would be fun to calculate our own ratings based 1..10 (10 being the perfect golden ratio 1.618) We have each of our scores see below: first face mesaurment (height / width) = 1.571...
16. ### Golden Ratios (Q Fields)

Hello Everybody, As a continuation to my last thread, there are other examples that I struggled with. 1. There exists a defining equation for the golden ratio: (1+Sqrt(5))/2 , and its norm in Q[Sqrt(5)] can also be found. Can anyone help me find this equation and the norm? I tried to...
17. ### Fibonacci members and powers of the golden ratio

Hello. I searched for a topic for the same question, but my queries were fruitless, although they returned some similar questions. If i have missed it, please lock this one, and redirect me to the proper thread. It's not a homework assignment, but a personal inquiry due to some home studies I'm...
18. ### Newton-Raphson and Golden section search

Hi. Im stuck on this problem: Consider the function: f(x) = x+2 if x \le 2 f(x) = 8-x otherwise Discuss the applicability of Newton-Raphson and golden section search: will they successfully approximate the minimum in [-3,5] to within a pre-specified tolerance? I am thinking no? because...
19. ### Golden rectangle.

Hello all, I'm wondering if someone here could kindly give me a hand to solve a small problem. I'm trying to draft a golden spiral but I keep finding myself snagged mid-way through the drawing. I'll explain my procedure first, leading into the issue i'm having. I start by creating the...
20. ### Fibonacci and golden section proof

hello, based on the formular for Fibonacci numbers I am supposed to calculate the value for the golden section phi. (1) rn = Fn+1 / Fn converges against phi, and I have to prove that (2) rn+1 = 1 + 1 / rn and thus phi = 1 + 1 / phi But how do I get from (1) to (2) ? any help greatly...