A cellular structure may include a plurality of cells each having a twelve-cornered cross section. The twelve-cornered cross section may include twelve sides and twelve corners creating eight internal angles and four external angles. Each cell may include a plurality of longitudinal walls extending between a top and a bottom of the cell, the longitudinal walls intersecting to create corners of the cell. A structural component may include at least one wall surrounding a component interior space with a cellular structure having at least two cells being positioned within the interior space. A sandwich structure may include first and second substantially planar structures, and a cellular structure with at least two cells positioned between the first and second substantially planar structures.