A Billboard is a customizable rectangular area on the screen. It displays an image it's provided on the screen which can be customized to have custom width and height. It lacks the 3D properties of a Sprite patch and doesn't work inside 3D Transformation Macro Patch.
An interpolation patch interpolates between the Start Value and End Value within the specified duration. The Repeat Mode port enables controlling how the animation loops. Interpolation controls the transition from Start to End Value through a mathematical functions designed like ease-in-out.
The logic patch is the implemantation of logic gates in Quartz Composer. The OR gate outputs a value 1 if any of the input values is 1. The AND gate outputs a value 1 only if both of the incoming inputs are 1.