Talk:Apollonian Snowflake

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Awesome! Some ideas for the more mathematical sections (no need to do all of these):

  • discuss/explain the mathematical properties you've found relating to area and iteration.
  • discuss why this is not exactly and apollonian gasket.

Also, in your basic description, you might consider giving a more general explanation of constructing the figure that doesn't rely on the reader knowing how to use GSP.

-Leah & Diana (4/1/12, 17:42)


When I try adding reformatting and aligning my images, they get messed up. The "More Mathematical Explanation" blurb gets in the middle of everything. Any help please?

Victorc 09:52, 15 April 2012 (EDT)

This happens a lot. Add the code, <br style="clear: both" /> after the section your images are in -- wherever you want that part to end and the "More Mathematical Explanation" to start, and it should fix things. -Diana (4/15/12 20:59)

When I try to box my text, the box extends all the way to the right of the page. How can I make it so it only extends halfway along the page? Also, how can I make the font size bigger? I want to make a balloon so when I mouse over it, an image appear instead of text. Is that even possible??

Victorc 13:10, 17 April 2012 (EDT)

For the boxes, that's a bit tricky; boxes automatically format to extend across the screen. You can put your text in a box, though not the same type of box, by just putting it in a one-cell table with the syntax,
{{{!}}border="1" cellspacing="1" cellpadding="1"
{{!}}your text
{{!}}}
It'll look like this:
your text
The text inside will wrap at the edge of the page, and you can create line breaks just as you normally would.
For the balloons, use {{EasyBalloon|Link=text to appear on page|Balloon=text inside balloon, and any <math></math> or [[images]] you want}}.
Hope that helps! -Diana (21:22 4/17/12)

It seems like you didn't say much about the circles and its impact on the area. Try going into more detail about that. Also you have so much information in the ballon. Is it necessary? Well, yes. Then, I suggest that you put it into a subsection. Also you have a box where you list your problems is that for thos of us who are editing or for your reader to understand that your image is a bit different than what's expected.

It's looking great by the way!

-Leah

Hey Victor,

I am a college student at Swarthmore who is looking over your page. I was really impressed! It was very cool to combine those two fractals, and the mathematical treatment of them was sophisticated. There are only a few suggestions I have for you. At some point in the page, there is some text that is red for some reason. Probably its best to have black text.

Sometimes it would be helpful if you micro-organized the more mathematical section a little bit more clearly. I mean, I can understand what is going on, but sometimes it would visually more helpful if some of the larger paragraphs were divided into smaller paragraphs, with the math formulas in their own little lines. I can show a page that is good with this. I'll post one later.

One final thing that I noticed was your mathematical for the area of the snowflake and thus the Apollonian snowflake could be improved by a few minor tweaks. It might be easier to consider the area of the equilateral triangles using the length of one of the sides, and not the height and base. The formula is

 A = (sqrt(3)/4)a^2

This could be useful in your formula since there is less going on than the 1/2 bh method. Also, if you are farmiliar with summation notation, that could simplify your math a lot, and would in fact give you a more general formula! In fact, you could simplify the summation notation further to show that the area is given by a geometric sequence that converges (I believe...). If you have no idea what I'm talking about, I'd be happy to help or I guess you could ask your teacher. Anyway, I bet the Apollonian snowflake also has a convergant geometric sequence as well.

All in all, your page is really complex, creative and the images are well presented.

Best, Jorin

Hey Jorin,

I'm really not that interested in math images work anymore, now that I won't have another geometry course in my high school career. If you want, you can take over my page since you're a better mathematician. I don't think we've learned of summation notations before in class.

Victor