Abstract
Abstract17 families of three-periodic minimal surfaces with straight self-intersections have been derived that subdivideR3into an infinite number of one-periodic 'tubes' and/or finite 'polyhedra'. Their Euler characteristics vary between -3 and -18. Ten of these families show non-orientable minimal surfaces. They subdivideR3either into congruent tubes (eight families), into congruent polyhedra, or into two different kinds of congruent polyhedra. The minimal surfaces of seven families are orientable. All of them cause two different kinds of spatial subunits: two kinds of tubes (one family), tubes and polyhedra (three families), or two different kinds of polyhedra (three families).
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