If you imagine the universe as the surface of a balloon, the balloon itself stretches. (See Figure 4.) If you had marked two points on the balloon’s surface, those two points would grow farther apart, just as galaxies recede from each other in an expanding universe.
Assuming the points are dots drawn with a marker, the dots themselves would grow. Does Dr. Randall mean points in the scientific mathematic sense, or the colloquial sense?

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Brian