Abstract: Construction member panels have an array of engaging elements and cooperating receiving spaces, such as dovetails and dovetail shaped keyways. The engaging elements are relatively closely spaced such that a pair of such panels can be meshed together, and will be locked against motion in two directions. The construction member panels can be used alone, with one planar member being fixed to a support and the other to an item to be supported, or they can be connected to each other to form units, such as L-shaped units, U-shaped units, or rectangular parallelepiped boxes. Shapes other than dovetails can also be used.Specially located engaging elements along the length of construction members, or the sides of the units made therefrom allow mated construction members to be translated relative to each other as desired, even if one construction member is mated with and bridges across two facing construction members, thus exhibiting translational symmetry.