Talk:Fractals With Stars
From Math Images
Hey Michael! This is Jason from Swarthmore. Hope your summer is great and refreshing so far! I hope you feel refreshed enough to work on this page because i have some suggestions. Don't worry, we'll be working together on this emerging and exciting page. This is a great idea for a page and it deserves to have more work done on it. I'm excited and expected to see it polished and ready for publishing by July 26.
First off, great job presenting! People loved it. I know for a fact that my peers at Swarthmore enjoyed it as well. You were very engaging and confident about your page, now let's let the page do more of the talking rather than you.
Here are some areas ideas i had in mind:
- Basic Description
- I really admire what you did in terms of making the image, Mr. Taranta and i are really impressed. What concerns me, however, is how you communicate the information that you know. I know it can be hard, but i am here to help.
- I know you were rushed typing this the day before, but bullet your procedure in the basic description.
- Don't write too many or you will overwhelm the reader.
- There are some sentences that need splitting up, like "Rotate the midpoint around point A at 36 degrees to create point C and then rotate C at 72º to create point D and then rotate point D by 72º 4 times to create the outline points of a star" maybe write with different bullets containing bullet saying "(bullet 1)Establish a midpoint C between A and B. (bullet 2) Repeat the 72 degree rotating process done previously, starting from C"
- Don't necessarily write all your sentences in bullet form, really determine what sentences/phrases you want to keep.
- Where exactly do you connect points? Be specific. (I'm Referring to "Then hide C and connect all the points to form an outline of a star")
- Can you explain what you mean by "making a tool"? Also, you should reference somewhere that people need to be familiar with GSP.
- Why exactly did you decide that successive stars would be 2.2676 times smaller than the star before it? If this was an arbitrary decision of yours, make that clear. I know you like to play around with GSP at times, so for the next time you make manipulation based on an arbitrary number, make it clear.
- The part "and map a polar grid around it and then try to find a parametric function that intersects the centers of the stars" is not necessary for making the star. You can say, in another subsection of your basic description (probably named Mathematical Explorations [which should not be math-intensive but rather introduce the reader to the mathematical concepts you will be working with])) that if desired, they can produce a paramatric equation of one of the spirals by mapping a polar grid around the stars of interest.
- A More Mathematical Description
- i recommend hiding the procedure (yes, hiding a section on a section that is hidden), and leave it there if people are interested. I can show you how to hide if you are interested.
- Try to find if there is some finite area that you can mathematically derive (assuming that we can ignore that they overlap each other, that is, add of the areas of the stars)
- try to determine if there is infinite perimiter and try to derive it mathematically (with the same assumption that we can ignore overlap)
- I am not sure if you have seen this already but there is a page already, called Koch Snowflake, that is similar to what you are doing. it has derivations of area and perimiter which might be very similar to those you will encounter.
- Why it's Interesting
- I like that you found it interesting because of your expericence of GSP in the classroom and your adoration of stars. Remember that outsiders will be seeing your page and will not relate to the experience you had in the classroom. Try to focus on the implications it has with fractals in real life. Maybe refer to the Romanesco Broccoli and make a certain person happy?
- I'll leave it up to you to find interesting applications of fractals.
Good Luck! Keep me updated! I look forward to working with you more on this
--Jason 16:27, 3 July 2013 (EDT)