We introduce some new subsemigroups of the finite full transformation semigroupsT . We consider various irregular boards of different shapes and sizes to generate subsemigroups of Tn using the four idempotent operators L, R, U, D. These operators shift tiles on a board in four different directions (left, right, up and down) in their respective rows and columns. In this way each operator Oe G = { L, R, U , D} defines a member of Zon the base set X — {l, 2, . . . , n} and the semigroups of various properties are given as .