The horga'hn is a small Risian statuette symbolizing sexuality; displaying one on Risa signals that its owner is seeking jamaharon.
The horga'hn is a well-known emblem of Risa's pleasure resorts. Owning one is considered a sign of good fortune, and placing it prominently announces an interest in romantic encounters.
When Picard took a vacation on Risa in 2366, Riker asked him to bring one back. Picard's display of it in his room produced a string of unexpected invitations.