The Battle of Polytopia contains two confirmed Easter eggs. There is also the Luxidoor Easter egg, which can not be officially called an Easter egg but can be considered as one.
Nature Bunny EditTap ten times on any unoccupied square in your territory and you will spawn a Nature Bunny. The bunny moves randomly around the map, destroying any unit or building it touches. Nature Bunnies can be destroyed just like any other unit in the game. A Nature Bunny counts as an enemy unit in the sense that if one is on your city, you will not gain resources from it. The Nature Bunny can be used to your advantage if you have an unoccupied square of land that is separated from the land your city is on. It can also be used to remove unwanted buildings.
To do this Easter egg, touch and hold the sky for 15 seconds. Then, the sun will rise over the world.
Luxidoor Easter egg Edit
Normally, when you do not own a tribe, you don't get them on your worlds. The Luxidoor appear every once in a while to players who don't own them. This can be considered an Easter Egg. There is no known pattern as to in what settings it happens. The rough percentage of the Luxidoor appearing is 5-10% depending on how many tribes you own.