American Triple Tiara of Thoroughbred Racing develop a "Filly Triple Crown" or a Triple Tiara for fillies only, but no set series of three races consistently remained in the public eye. At least four different configurations of races have been designated as such. Two fillies won the series of the Kentucky Oaks, the Pimlico Oaks (now the Black-Eyed Susan Stakes), and the Coaching Club American Oaks, in 1949 and 1952, but the racing press did not designate either accomplishment as a "triple crown." The New York Racing Association designated three of its races as a filly triple crown of sorts, but the races so designated changed
Quadruple product Quadruple product In mathematics, the quadruple product is a product of four vectors in three-dimensional Euclidean space. The name "quadruple product" is used for two different products, the scalar-valued scalar quadruple product and the vector-valued vector quadruple product or vector product of four vectors . The scalar quadruple product is defined as the dot product of two cross products: where a, b, c, d are vectors in three-dimensional Euclidean space. It can be evaluated using the identity: or using the determinant: The vector quadruple product is defined as the cross product of two cross products: where a, b, c, d