# User:Egoldberg1

### From Math Images

My user page contains descriptions of projects that I have worked on, will work on, or am working on. If you're looking for any of my projects, you'll find them all here.

## Contents |

## Projects:

- Pascal's Triangle-, with input from Lizah using Flash to visualize patterns.

- Status- Finished (6/30) See it here or
**here**.

- Status- Finished (6/30) See it here or

- Towers of Hanoi-, make an applet which allows users to play this game.

- Status- Finished (7/7)

- Tessellations Image Gallery

- Status- Finished. I'm choosing to leave it as a static gallery for security reasons. If it needs to be edited, the fla source for it is on the repository.

- Line Drawing (manipulating alpha in Parametric Equations)

- Status- Finished.

- Implicit Surfaces page

- Status- This page needs some work from someone who knows more about the subject.

- Implicit Equations page

- Status- This page was abandoned and needs some TLC!

- Rhodonea (Cardioid, Rose Petals, Limacons, etc.)- interactive graphing

- Status- Ran out of time; this could be done in the future with webMathematica though.

- Torus & Volume_of_Revolution- interactive graphing

- Status- Ran out of time; this could be done in the future with webMathematica though.

- Cantor_Set zooming flash loop

- Status- Ran out of time.

### Week One

- This week after setting up Flash CS4 on my laptop and while familiarizing myself with actionscript3, I began a flash tutorial which explains and visualizes the patterns within Pascal's Triangle. The final result will be longer than I initially realized. At this point, it almost feels like I'm creating a movie, but that's alright because I want the tutorial to be thorough and to have clear visualizations of the patterns. Without thorough animation, some of the patterns would be particularly hard to see for yourself. Animation is started but not complete for the original triangle, diagonal rows, shallow diagonal rows (Fibonacci sequence), and the even/odd pattern (Sierpenski's triangle). Descriptions are needed for all of the patterns. Animation is not started for the hockey stick pattern. With no snags, I should be able to finish this animation by next Friday.

### Week Two

- The majority of the week was spent refining the Pascal's Triangle tutorial. Specifically, it was spent completing the animations within the tutorial, revising the descriptions/explanations, and debugging. In the final hours of the week, I looked into finding more projects which I can work on in the future, and began developing a flash video which is a looping zoom into a Cantor_Set. This week I also looked into the use of webMathematica for some applets. I think it will be particularly helpful in the construction of some interactive applets (like the Rhodonea graphing tool or for graphing 3d objects).

## Resource Testing

### Pascal's Triangle

*The animation below is a tutorial on patterns within Pascal's Triangle. It was created using Flash CS4 by Emily Goldberg. The project was finished on June 30th, 2009... And then Emily found a bug and resumed work on the animation. It was refinished on July 1.*

### Towers of Hanoi

This applet is a development of Kong-Kat Wong's '96 Towers of Hanoi (http://javaboutique.internet.com/Tower/). I updated the code for aesthetics, and to show the number of moves made as well as minimum number of moves to win. I corrected a flaw in the program which allowed users to set the number of blocks on the tower to be more than the applet window could accommodate. Additionally, Mike double buffered the game. For those not familiar with the Towers of Hanoi see the wiki page.

### Tessellation Gallery

This gallery, commissioned by Lizah, showcases some examples of tessellations in art and the world at large.

### Parametric Equation Explorer

This applet is intended to help students understand how changing an alpha value changes the plot of a parametric equation.