Talk:The Golden Ratio

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Feedback for The Golden Ratio:

all comments welcome!

UPDATE: the initial group meeting has been tentatively rescheduled for next Monday (6/4/12) in the afternoon. Maybe 2 or 3? Any time conflicts, post them here:

I guess some general concerns...

  • I am having trouble getting the main image to show up. Even when the image is resized much smaller, it still appears very big and blurry. Any suggestions?
  • I feel like this page has very little text (and a lot of math). However, I'm not really sure what to add. Any ideas?
  • Are the proofs self-explanatory?
  • Any ideas for more animation?

Small gripes about a very good page from Gene:

"golden ratio refers to the ratio phi  : "

"refers to any ratio which has the value phi"  ?? No colon, too.

1. The image

Why the "1"?

In reality, man of these claims

Don't you mean "women of these claims"?

George Markowsky argues that, similar to the Mona Lisa,

"like the Mona Lisa" ?

Let r denote the ratio : -- replace by

Suppose the ratio r = a/b is the same as (a+b)/a,

In the continued fraction, before the first continued fraction representation (before "This last infinite form is a continued fraction" add something like

Continuing this substation forever

In the sentence following my above quote, I don't get

(the finite displays above it)

It would be good to have a subsection called Continued Fraction Representation and one called Fibonacci Numbers.

Following "Let's also denote the terms of the Fibonacci sequence as" at least have

... S3 = 2, etc.

By our definition of xn, we have

By our assumptions about x1, ..., xn  ??

Noting the definition of , we see that we have

Where the hell did the f's come from all of a sudden?
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