Pedestal and support structure for tile

A tile system comprising:

• a support structure;
• a support structure spine extending upward from the support structure;
• a first support structure rail extending perpendicularly outward from the support structure spine;
• a second support structure rail opposite the first support structure rail extending perpendicularly outward from the support structure spine;
• a pair of flanges separated by and extending outward from the spine of the support structure each with an upper most planar surface;
• a tile comprising a first face that is entirely planar, a second face that is entirely planar that is opposite the first face, a plurality of side edges extending between the first face and the second face with each of the plurality of side edges being square with respect to the first face and the second face, and a groove formed in at least one of the plurality of side edges;
• and
• wherein the groove of the at least one of the plurality of edges of the tile is configured for engagement by the first support structure rail of the support structure;
• wherein the second face of the tile rests on the upper most planar surface of one of the pair of flanges.