Answer:
6 points of data, minimally.
Easiest if they are 3 points.
All data is going to be comprised of more than one unit of data itself.
For 3 points, we need 6 coordinates.
For 3 lines, we need 2 points each, and then 2 coordinates for each point.
Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.
Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.
So in a 2D space, the information required to make a figure is twice the number of vertices.
Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.
“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”
Edit… A closed figure made only of straight line segments.
I'm sorry if it has any wrong ♀️
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