The discussion revolves around finding the different combinations of the point (x,y,z) when each variable can be either positive or negative. Participants explore the concept of how many distinct points can be formed based on the signs of the variables and the terminology related to dimensions, such as quadrants and octants.
Participants generally agree on the number of octants in three dimensions being eight, but there is some confusion regarding the terminology and the concept of quadrants versus octants. The discussion remains somewhat unresolved regarding the clarity of these terms.
There are limitations in the discussion regarding the definitions of quadrants and octants, as well as the assumptions made about dimensionality and combinations.
In 3D coordinates, how many "quadrants" are there?Rosebud said:How do I find all the different combinations of the point (x,y,z) when x,y, and z can be either positive and negative? For example, what I'm trying to solve is (+,+,+), (+,+,-), (+,-,-), etc. How do I find out how many different points there are and the sign of each variable for each distinct point?
Right. So how many ways could you have the point positioned, from the point of view of differing signs?Rosebud said:There are eight octants. I'm not sure about quadrants.
Yeah, that's why I put "quadrants" in quotes, to mean just "sections", which you more appropriately identified as octants.Rosebud said:There are eight octants. I'm not sure about quadrants.