Refresh Masonry on Event

I have a button that changes the appearance of my blog items, but masonry only updates, by default, upon changing the browser window's dimensions. I've come across the method to refreshing the layout, but I don't know how to call it properly. I'm calling all of my custom JS within /templates/jooswatch-v3-5/js/custom.js.

I'm attempting to mimic Gamespot's very clever method of "Latest Stories" layout change with simple JS and CSS.