What's the 10-letter answer I'm looking for?
(5)
(4)
(6)
(4)
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DIMENSIONS?
Because your image depicts
from top to bottom:
A point. (5)
The endpoints of a line. (4)
The corners of a square. (6)
The vertices of a cube. (4)
And each of these objects contains more dimensions (and dots, hence the title) than the last.