The family of theta matroids appears in Oxley, p. 663. For a given n, thetaMatroid n has 2n elements and rank n.
A notable feature of this family is that thetaMatroid n is representable over a field iff the field has at least n - 1 elements (a property also shared by uniformMatroid(2, n)).
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The object thetaMatroid is a method function.
The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Matroids/doc-Matroids.m2:3206:0.