Features:

The time epoch is about 2007 October.
The author used 60 frames with a 12-hour time step.
The total length of the time is thus 29.5 days which is approximately the lunar month (mean length 29.53059 days).
The author chose to start the images at a new moon that was near apogee, and so the end image was also near apogee.
Apogee is the farthest distance of the Moon to the Earth, and so is a stationary point where the angular diameter of the Moon is changing slowly. Choosing to start and end the film near a stationary point prevents obvious sharp jumps in the angular diameter when the film restarts.
The actual period from apogee to apogee (and also perigee to perigee) is the anomalistic month.
The anomalistic month = 27.55450 days (J2000) to 7 digits.
The anomalistic month is not same in period as the lunar month (mean value 29.53059 days (J2000) to 7 digits) nor the sidereal month (mean value 27.32166 days (J2000) to 7 digits).
The apparent growing and shrinking of the Moon is due to the 11 % difference between distance at perigee and distance at apogee.
Note that tidally locking forces the Moon to nearly always turn the same side toward Earth.
This side is the near side of the Moon.
Until space observations, the near side was the only side humans could see.
The far side of the Moon was first seen by the Soviet spacecraft Luna 3, 1959 Oct07.
Actually, the Moon exhibits an apparent rocking motion as the film illustrates.
The apparent rocking motion is the lunar libration.
The lunar libration is due to the observer seeing slightly different hemispheres as the Moon and Earth move in space. There are actually three effects that add up to the overall lunar libration (see Wikipedia: Lunar libration). Remember "apparent" in astro jargon means as seen from Earth. There's no rocking relative to the inertial frame of the fixed stars---which for most purposes is the same as the Earth-Moon system free-fall frame: i.e., local approximate inertial frame.
Because of the lunar libration we do see a 59 % of the Moon's surface from the Earth (see Wikipedia: Tidal locking: Occurrence: Earth's Moon), but only very nearly 50 % at one time, of course.