Talk:The Golden Ratio
From Math Images
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?