an interconnected series of elongated bars 18 of substantially rectangular cross section wherein said interconnection may be achieved by a process of injection molding in which the entire gridlike frame member 12 may be formed in a single piece see fig4 semi rigid frame member 12 may be supplied in sheet form or in rolls and furthermore fitting to the requisite shape of a floor or wall is achieved by trimming to shape using scissors knives or other cutting tools the series of elongated bars 18 are cojoined to form a plurality of geometric shapes as required for specific tile applications for example substantially square tiles may be fit into laying space 20 outlined by a series of elongated bars 18 disposed as shown in fig4 or hexagonal round or any other complex shaped tile may be fit into a corresponding matrix wherein the elongated bars 18 are interjoined to enable alignment of these more complex tile forms elongated bars 18 have a plurality of alignment fingers 14 attached thereon semi rigid gridlike frame member 12 comprises thickened elongated bars 19 forming a central portion and thinned elongated bars 21 forming an edge portion whenever two semi rigid gridlike frame members are laid adjacently the thinned elongated bars 21 engage thereby presenting a resultant thickness equivalent to that of thickened elongated bar 19 which preserves tile spacing and alignment semi rigid gridlike frame member 12 is nailed or otherwise attached to the existing underlaying material to which the tiles are to be attached and thereby becomes a permanent part thereof alignment fingers 14 are strategically disposed to provide an adequate reference for setting multiple tiles in substantial alignment thereby forming an aesthetically pleasing tile matrix elongated bars 18 form a complete perimeter around a given tile 16 provided that said.