For the first exploration, I'm going to
need five points, and I'm going to
make sure "Snap-to-Grid" is on
and then let's set up the points.
[no talking]
OK. Let's iterate and see what happens.
[no talking]
So it starts looking kind of broccoli-like
to me... sort of a fun shape.
And this is a variant on the Koch curve
it's just that the angle here is a
lot larger.
OK. Let's try the next one.
The next one is a little tricky to get set up
But it's really cool when it works.
So, let's see... I'm going to choose
"Snap-to-Grid," I need six points
and I want a triangular grid this time.
So now I'll arrange the points.
[no talking]
OK. There we go. Let's iterate.
There is the next step.
And the next.
And, sure enough,
we're seeing a Sierpinski Triangle appear.
So this is another way to make a Sierpinski Triangle.
Previously, we made it by starting
with a big triangle and cutting out
smaller and smaller triangles.
Here we can do it through an iterative process similar to how we
made the Koch curve.
For the last one, again I'm going to
choose "Snap-to-Grid." I only need four points this time.
And I'm going to do this like this...
... there. So let's give that a try.
[no talking]
So, we can see some irregular pattern here
Again, a relatively simple variation on
the Koch curve. The main point of
these explorations is for you to
experiment on your own a little bit and
appreciate the diversity of shapes and
the different types of fractals you can make
from really simple rules.