peodektophilia
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peodektophilia | The desire or love of exposing one's penis, generally in public. Part of the overall term, Exhibitionist.
Meaning
There are many ways, that an exhibitionist shows off.
For those who prefer to expose their penis, then the term applies, while those who expose other body parts, have different terms assigned to them.
Exposure does not necessarily mean exposing the entire crotch or groin, but merely the penis.