Branching- when a Hopscotcher has a copy of your project in their "Drafts" section
Remixing- when someone Branches your projects, changes the graphics or the designs of it, and republishes it. It could also have a comment on it, complementing your projects.
Rehoping- when someone branches your projects and republishes it without changing the code. Rehoping means that your project was really good. But sometimes people do that because they want credit for it.
Credit to Kiwicute 2016 for definitions.