# Naming convention: looking for better terminology for "centrally symmetric smooth strictly convex bodies"

I have recently found myself researching a certain type of convex body in $$\mathbb{R}^2$$, namely centrally symmetric smooth strictly convex bodies. Instead of repeating such a sentence repetitively I have found myself referring to them as "symmetric bodies", but I was hoping there is a more widely used name for them. I have checked the literature but cannot for the life of me find anything. Any help is appreciated.

• perhaps you could just say "in this article CSSSCB stands for centrally symmetric smooth strictly convex bodies?"
– erz
May 29, 2020 at 10:53
• "symmetric convex body" is widely used to mean "centrally symmetric convex body", so I would add an extra adjective here. Maybe "regular symmetric (convex) body" ? (I have seen "regular" to mean "smooth and strictly convex", but it is not standard terminology) May 29, 2020 at 12:38
• You could try giving them your own name. Call them D-bodies. May 30, 2020 at 3:24
• @erz I did originally go with this but I found it isn't very nice to read every time. Jun 2, 2020 at 13:22