How should a martini be served when ordered without any further specification?

A martini served without any further specification is traditionally understood to be served "straight up." This means that the drink is mixed with ice to chill it, then strained into a chilled glass, typically a martini glass, without any ice remaining. This presentation emphasizes the elegance of the drink and allows the drinker to enjoy the full flavor and aroma of the gin or vodka used.

Serving a martini straight up is also consistent with classic cocktail standards, catering to traditional preferences among gin enthusiasts. In contrast, the other options imply variations or additional components: serving on the rocks would involve ice and dilutes the drink as it sits, a twist indicates the addition of citrus for flavor, and blending changes the texture and temperature significantly, which is not typical for a classic martini. Thus, the standard approach for a martini, unless specified otherwise, is to serve it straight up.