Pattern is a synonym of Figure. Figure is related to Shape. Shape is related to Side. Side is related to Length. 
Public is etymologically related to People. People is related to Country. Domain is part of Country. 
Pattern <--Synonym--> Figure <--RelatedTo--> Shape <--RelatedTo--> Side <--RelatedTo--> Length 
Public --EtymologicallyRelatedTo--> People <--RelatedTo--> Country <--PartOf-- Domain 