The discussion revolves around the geometric implications of changing the angle between axes from 90 degrees to 60 degrees. It highlights that with 60-degree angles, the resulting coordinates would not be independent, suggesting a more complex relationship between the axes. Participants explore how many lines can be drawn where the angle between each line is 60 degrees, indicating a shift in the dimensionality and independence of the coordinate system. The term "axes" is questioned as potentially misleading in this context, prompting a deeper examination of geometric relationships and their implications.