Over the past 24 years, the gravity fields of homogeneous polyhedra have been studied extensively (Paul, 1974; Barnett, 1976; Okabe, 1979; Golizdra, 1981; Strakhov et al., 1986a, 1986b; Gotze and Lahmeyer, 1988; Pohanka, 1988; Ivan, 1990; Pohanka, 1990; Holstein and Ketteridge, 1996). This intensive scrutiny is well deserved because polyhedra provide a framework in which complex body shapes can be modeled parsimoniously and because the analytic expressions for the gravity fields of uniform polyhedra involve only elementary transcendental functions available as part of the run‐time library for most computational programming languages.