# Fun With Toric Varieties (I)

Toric varieties are fun things…

Proposition: The blowup of $\mathbb{P}^2$ at two points is isomorphic to $\mathbb{P}^1\times \mathbb{P}^1$ blown up at one point.

Proof:

Fan for the blowup of P^2 at two points.

Fan for the blowup of P^1 x P^1 at one point.

Done.