Algebraic surfaces are like shapes made from numbers. Imagine an empty room and you have a bag of blocks in different shapes like cubes and pyramids. You take the blocks out of the bag and you can use them to build all kinds of things like houses and castles, which are the shapes of the room. Algebraic surfaces are like those blocks, except that instead of being made of plastic and wood, they are made of numbers. You can use them to make shapes like squares and circles, and even more complicated shapes like donuts and spirals. All the shapes are made from numbers!