A plate-based definition of discrete surfaces

► A new class of discrete surfaces for each adjacency pair in the grid Z3. ► The definition mimics that of a combinatorial surface by using discrete plates. ► They form the largest set of surfaces for a framework based on continuous analogues. ► The strong and simplicity 26-surfaces as well as other Jordan objects are examples. ► The number of configurations around a (26, 6)-surface voxel is estimated in 10,580.