Education:
He studied in 1961 at the Nathional College of Arts and Crafts, Reykjavik, Iceland and during 1961-67 at the National Art Academy, Copenhagen, Denmark.

Individual Exhibitions: 
A part from many individial exhibitions in Iceland and Denmark he has exhibited in Gallery Jensen, Copenhagen, Denmark; Gallery SUM, Reykjavik, Iceland 1969-77;  Amos Anderson Gallery, Helsinki, Finland; and Gallery Krebsen, Copenhagen, Denmark

Group Exhibitions: 
A part from participating in many group exhibitions in the Nordic countries, Tryggvi has been presented in group exhibitions in the Netherlands, Germany, France and England.

Represented:
A part from many private collections, Tryggvi is represented in the National Gallery, Reykjavik, Iceland; National Gallery, Stockholm, Sweden; Gothenburg Artmuseum, Sweden; The Modern Art Gallery Silkeborg, Denmark; and Den Kongelige Kopperstickssamling, Copenhagen, Denmark.