I'm an ecologist, and I study complexity. I love complexity.

We got all of this hairy mess.

What's happened since is that bifurcation I described.

Which is a pretty neat outcome, especially considering how much hairy algebra we had to go through.

We're discovering in nature that simplicity often lies on the other side of complexity.

It's a dot! It's a dot, a dot!

It's, it's a dot!

It's a dot, a dot!

The most rewarding parts of this three pronged strategy are the first two namely, preventive diplomacy and peacemaking.

Point to Point

Dash Dot Dot

Ah! It's a dot, a dot!

PtP Address

PtP Address

PtP Address

Select the point which the similitude should map onto another point...

Ah! It's a dot. A dot...

Test whether a given point have the same distance from a given point and from another given point

Construct the midpoint of this point and another point

Apply a similitude mapping this point onto another point

Select the point onto which the similitude should map the first point...

So I want to share with you a couple key insights about complexity we're learning from studying nature that maybe are applicable to other problems.

That's our starting y point, over our finishing x point minus our starting x point.

Apply a similitude mapping a point onto this point

48 crossing points 123 crossing points

So this is an inflection point.

So let's just make this over here our starting point and make that our ending point.

Or, we can view it as the y value of our end point minus the y value of our starting point over the x value of our end point minus the x value of our starting point.

Select the point which might have the same distance from two other points...

0 is a critical point.

And so this intersection point is the midpoint.

So midpoint formula.

And that was a turning point, that was THE turning point.

pt

Point

point

Dot

Delimiter

Dot!

Full stop.

Perlod.

And even when we explained that if ABE goes away, all those 7,500 jobs go away too, we sometimes have this bifurcation between business and the social.

Add Point Click this to add points to a polygon.

Remove Point Click this to remove points from a polygon.

But how do you put this into point slope form?