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.