# Previous Harter-Heighway Dragon Discussion

### From Math Images

Back to Harter-Heighway Dragon page and current Harter-Heighway Dragon Discussion page

## Contents |

## Checklist (7/8/09)

1. Are the words that you define bold? YES 2. Do you have references and other interesting links? YES 3. Did you cite your pictures, or say if you created them? YES 4. Have you considered all of the comments on the discussion page? YES 5. Have you looked over everyone else’s pages, and linked to the relevant ones? YES

### Chris Taranta

This is a beautiful image and a cool hook into the math.

Intro: 2nd sentence, remove comma.

Basic Description: Is a fractal the same thing as an iterated function system? Will you have mouse overs for either or both terms?

*An IFS is a type of fractal. I'll try to make that more clear.*

Why is this described as a curve when it is made up of straight lines? Should the word “curve” be a mouse over so the reader understands that a straight line is an example of a curve?

*Good point. I should make it clear that I'm referring to the line as a curve*

⁋2, remove colon. Put periods at the end of sentences at bullet points.

*Yes, periods would be a good idea, but I would like to keep some sort of punctuation where the colon is to introduce the list.*

Citations for the first 5 iterations and 15th iterations?

*Yes, I forgot the citations on the 15th iteration image.*

What is the purpose of the two colors on the 15th iteration image?

*Also, thanks for noticing the two colors on the 15th iteration. It turns out that the artist that created that curve actually produced it using a slightly different method from the one I describe here. I'm going to write another section describing that alternate method of creating the curve.*

“An interesting property…” is repetitive. It should read, “An interesting property of this curve is that although the corners of the fractal seem to touch at various points, the curve never actually crosses over itself.” Also, remove the comma before because in the following sentence.

*Thanks for catching that mistake.*

Perimeter: Since a ratio is defined as the relationship between two numbers, should the final answer be written as √2/1?

*That is true. I'll make the relationship between "factor" and "ratio" more clear.*

Changing the Angle: What iterations are these? (I assume they are the same iterations.) The 100 and 110 degree images look identical.

*Thanks, the image link was a bit faulty.*

What is the purpose of the “About the Creator of this Image” section? If you include it, I think it needs more detail.

*Unfortunately, I don't have any more information about the author, but you bring up a good point because there is already an automatically-generated page about each author, which makes this section repetitive.*

Future Directions: Wikipedia has the animation you describe.

*Actually, someone else brought this up as well, but I'm looking for an animation like the one on the Koch Snowflake page that has frames for each individual iteration.*- Thanks for your comments! Ryang1 (7/6)

#### Anna 7/4

Ok, I'm going to get *super* picky, because this is very close to done... there are just a couple tiny things. This "An interesting property of this curve is that the curve never crosses itself. Although the corners of the fractal seem to touch at various points, the curve never actually crosses over itself." is repetative. I think just knocking out the first sentence there would fix it.

Can you unhide the sub (sub?) headings "Perimeter" "number of sides" and "fractal dimension"?

Can the picture in the perimeter section be larger?

Your pictures under fractal dimension + number of sides =awesome :)

Good work. This should just need a couple minutes to fix those things, then I'll vote for it to be public.

*Great, thanks!*Ryang1

#### Anna 6/25

Ok, so the overall structure looks really good, and I like this page a lot. So, I'm finding the very small picky things to fix. It's not bad that there's a lot, I just think the page is ready for picky revisions.

The sentence "The perimeter increases by srt2" is sort of vague. You state it much more clearly in the mathematical description. Can you make it more precise the first time?

*Yes, I think it's enough to say that the perimeter is infinite for the Basic Description and decided to just cut that sentence.*

Also, in the mathematical description, can you describe that a bit more, as well? It's not 100% clear what you mean by each of the two lengths. Maybe, make it clear what the two are, and state that as a separate sentence before giving the ratio? What you have makes sense with the picture, but the picture's small and off to the side. So an alternate change would be to make the picture bigger, or center it.

*I tried to make the explanation more clear by describing the picture in more detail.*

On the number of sides, can you state what you mean by side before you state how many of them there are? It's picky, but would be nicer to have the other way around.

*Sure, I'll add an image also.*

Your notation for the fractal dimension isn't consistent with the page Fractal Dimension. Can you change one or the other, and add this page into the list on the fractal dimension page?

*I think it's best to add the notation used in this page to the Fractal Dimension page, since I use this notation in other pages also.*

Can there be a mouse over on "space filling curve" or another part of the sentence? It feels like you're assuming the reader knows what you mean by that, which I don't think is necessarily true.

*Sure.*Ryang1 (7/1)

#### David 6/25

I really like this page.

Did you mean to say in the introduction that the dragon was an iterated function system?

In the Properties section it would be good to make sure that all the symbols are defined, namely N_k and e

*Thanks for catching my forgetting to define all the symbols. In reply to your first question, yes, I meant to say that the Harter-Heighway Dragon is a fractal that is an iterated function system. I'll try to rewrite that sentence to make it clearer.*- Ryang1 (6/25)

#### Gene 6/24

The image ~~above~~ --it ain't "above"

Basic Description: say something first about what the images are. "The curve itself is fairly simple" -- not clear what the curve is at this point.

"the curve never crosses itself." --the last 2 of the first 5 iterations cross each other.

Keep headers visible even when "More Math" is hidden.

No. of sides section isn't clear.

References!

*Thanks for the comments!**I believe that it's still true that the curve never crosses itself because the curve alternates left and right of the line. It's a bit confusing to see though, so maybe this can be an idea for an animation.**With our current template, the headers under "More Math" cannot be visible when the section itself is hidden. This is something I'll talk to Maria about. However, the headers are visible in the table of contents, which would be more helpful to the viewers.*- Ryang1 (6/25)