I know this is the Builder pattern, but it's a modified form of it. Whereas the Wikipedia article on Builder pattern gives the example:
pizzaBuilder.createNewPizzaProduct();
pizzaBuilder.buildDough();
pizzaBuilder.buildSauce();
pizzaBuilder.buildTopping();
Pizza p = pizzaBuilder.getPizza();
Is there a specific name for the modified Builder pattern which looks like:
Pizza p = pizzaBuilder.createNewPizzaProduct().buildDough().buildSauce().buildTopping();
This is best seen in the jQuery library, where you can do something like:
$('li.item-a').parent().css('background-color', 'red');
Where each method, including the initial $(), returns a jQuery object which typically represents a set of page elements, and each method operates on that set in some way.