So here's the equation we're working with

Number of small copies = magnification factor to D power

And D is the self-similaty dimension
That's what we're interested in

So first, for this shape how many small
triangles do I see in the big triangle?

Well 1, 2, 3, 4
so the number of small copies is 4

What about the magnification factor?

How much do I have to magnify or strech this triangle by or any of the other ones, so it's as big as this one

And the answer is 2
And to see that maybe look at this length

between my two fingers here
So to go from this triangle to this triangle

I see I have to take this length and make it twice as large
Or you can see that this length

of the full triangle has two,
1, 2 triangles there

So that means the magnification factor is 2
So this is the equation

and then we want to figure out
the dimension D and we can see

that D is 2. Why? Because 2 to the 2

if I plug in D equals 2
gives me 4

So that means the dimension of this object is 2

It's two dimensional
And that makes sense

We know that triangles are two dimensional
They live in a plane

They, uh, extend in two different directions

So we haven't learned anyting new about triangles
we've known that they're two dimensional

But this is another example to show how
this formula works

So, next we'll use this formula on a fractal
and we'll see what we get