I had a PhD supervisor who refused to work with me because he did not like my political opinions. My work was nothing to do with politics.
Still wondering whether to do something about this because discrimination based on political views is unlawful.
The blue outline is an equilateral triangle.
The red triangle is approximately equilateral with integer grid point vertices.
The black triangle is equilateral triangle shifted by half the distance to the apex of the grid triangle.
Overlaid blue equilateral triangle (0,0), (152,0), (76,76*sqrt(3)) and red outline (0,0),(152,0),(76,132).
Then an enlargement at the apex to show the error.