The most common and most likely answer to this crossword clue is the 8 letter word VERTICES
V
E
R
T
I
C
E
S
More clues leading to the result VERTICES
Buddy explains!

The straight part
We know that "points" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case points = vertices.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does VERTICES mean?
VERTICES noun- The highest point of something.
- The highest surface on the skull.
- The common point of the two rays of the angle, or its equivalent structure in polyhedra (meeting of edges) and higher order polytopes.
- A point on the curve with a local minimum or maximum of curvature.
- One of the elements of a graph joined or not by edges to other vertices.
- A point in 3D space, usually given in terms of its Cartesian coordinates.
- The point where the surface of a lens crosses the optical axis.
- An interaction point.
- The point where the prime vertical meets the ecliptic in the western hemisphere of a natal chart.
- A sharp downward point opposite a crotch, as in the letters "V" and "W" but not "Y".