a qualitative one (rather than quantitative)

Originally posted by iamatiger
All the small triangles in each fractal pattern are the same shape as the starting triangle.

So I see!

In the vein of the circles problem from another thread, can you see what the area and the perimeter of the figures in each iteration tend to? (This is of course easier than the other problem.)

Originally posted by WanderingKing
In the vein of the circles problem from another thread, can you see what the area and the perimeter of the figures in each iteration tend to? (This is of course easier than the other problem.)

For an equilateral triangle with side length 1, starting area is √3/4. Each iteration multiplies the area by 3/4, driving area to zero.

Initial perimeter is 3. Each iteration multiplies the perimeter by 3/2, driving the perimeter to infinity.