Thursday, November 20th, 2008
11.19.8

In class today we worked on the Menger Sponge (actually, a 2D version called a Sierpinski Carpet). Create a spreadsheet for calculating the area at any iteration. Create a graph that goes to the 15th iteration. Then, write a paragraph about what you notice.
Your paragraph should be clear and mathematical.
- Discuss general trends you notice and support them with mathematical evidence.
- Explain exactly how much the pattern changes by each time.
- Compare what you know about this pattern to what you observed about the Sierpinski Gasket and/or any other patterns.
- Check for correct spelling or grammar.
Use excel to create a spreadsheet and a graph for representing the area of the Sierpinski Gasket. Then write a paragraph about what you notice.Your categories will be different from the ones you used for the Koch Snowflake - think carefully about what you need to know to calculate the area at each iteration. Remember to proofread your paragraph before you turn in your assignment - I shouldn’t see any spelling or grammar errors. Also, please remember the proper heading for you work! 