This is the solution to Puzzle of the Week #4.
Red can start in the corner, threatening to make territory immediately. If Blue is foolish he’ll try to kill Red. He starts with Blue 2. Red 3 threatens at 4, so Blue blocks there. Then Red 5 threatens at 6, so Blue plays there as well. Then Red 7 connects to the outside, completely ruining Blue’s territory. Blue 8 takes 4 squares of territory and blocks Red from taking 4 of his own, but Blue is much worse off than when he started.
Blue would do much better to simply wall Red off in the corner with Blue 2. If Red wants to live, he needs to make territory with Red 3. Then Blue 4 maximizes his territory.
Blue is slightly less successful if he protects the outside first, as shown here. Red makes more territory inside before Blue manages to seal him in.
Note that Blue has two ways to connect outside and Red can’t block both, so there’s no way for Red to succeed by starting outside first.