Regular
A matroid is regular if it is representable over every field, equivalently by a totally unimodular real matrix. Regular matroids are exactly those that are both binary and ternary. In this database, graphic $\Rightarrow$ regular $\Rightarrow$ binary, ternary and quaternary. Copied from polyDB (REGULAR).
Not to be confused with rs_is_regular_scheme, a property of the realization space.