A Simple Game

Copyright (c) ? ??
Described by Jan Willemson

This game is played on the following 4x4 square board:

MOVE - On each turn, each player move one of his stones into an adjacent orthogonal empty cell.
GOAL - Wins the player that makes a (orthogonal or diagonal) 3 in-a-row.
An example

White moves the marked white stone to cell [1]. Now, every Black move will imply a White win!

There is a ZRF to play this game with Zillions. Playing a bit with Zillions, it seems to me that this game is a draw with perfect (or even just good) play.