Matrix Wipe

A run of many short shots in quick succession that compresses time or information into a few seconds.

This is for a motion graphics video. Build [scene] as a "Montage" (also called rapid cuts or dynamic cutting): a run of many short shots in quick succession.
Give every shot a different image and only a moment on screen, joined by plain cuts, so together they compress a long stretch of time — unlike a cross-cut, the shots do not alternate between two fixed actions.
Fit the whole run into [duration], and keep the cutting rhythm steady and on the beat.

A foreground object, such as a wall, a person or a passing vehicle, crosses the lens and hides the cut to the next shot.

This is for a motion graphics video. Join two shots in [scene] with a "Natural Wipe" (also called frame blocking or an invisible wipe): a foreground object passes right in front of the lens and the next shot is already there behind it.
Keep the changeover hidden under the object the whole way across, so the object itself seems to wipe the old shot off — unlike a plain wipe there is no drawn edge, and unlike an invisible cut the viewer is meant to see that the scene has changed.
Run the pass over [duration], with the object moving at a steady, natural speed.

The outgoing shot peels or turns away like a page, uncovering the next shot behind it.

This is for a motion graphics video. Join two shots in [scene] with a "Page Peel" (also called a page curl, or a page turn when the whole side lifts): the outgoing shot lifts from one corner and peels away like a sheet of paper, uncovering the next shot lying underneath.
Show the back of the page as it folds over, and keep the shot underneath still — unlike a plain wipe, the old picture reads as a physical sheet being lifted off.
Run the transition over [duration], easing in as the corner lifts and out as the page leaves the frame.