Each player takes turns to place their penguins on the "1" ice floe hexes.

Then, take turns to move a penguin in a straight line in any direction, without passing through other penguins. When you move a penguin, you claim the hex that it started its move on.

When all penguins are on separate "islands" of hexes, the game lets players take turns to clear up those islands individually.

Finally, the penguins (who are now all on single hex islands) are removed and claim the hexes they were standing on.

Highest total of fish on the claimed hexes wins! (If tied, most individual hexes is the tiebreaker.)

Variants

Sleepy Penguins: At the end of your turn, you choose which penguin the next player moves on their turn. (You can't choose a penguin that's on an isolated set of hexes, or a single hex.)

Pushing Penguins: If an opponent's penguin is adjacent to yours, with water on the other side, you can have your penguin move into their hex to push them into the water, removing that penguin from play. Neither penguin takes the hex it was on. (I think this is how it works in play? I can't find a printed ruleset for the variant.)