The present invention provides a modular fabric-unit with preferred embodiments for the construction of a multitude of different self-supporting game boards of different types, sizes and shapes, wherein the fabric-unit comprises an array of 3-dimensional square fabric-cells for game tiles or 3D game pieces and game board accessories, mounting slots in the form of cross-connectors for attaching game board accessories and a background graphic layer, a plurality of hermaphroditic edge connectors on all sides of the fabric-unit, whereby the hermaphroditic edge connectors make a strong connection with hermaphroditic edge connectors of an adjacent inverted fabric-unit of the same construction, and the fabric-unit comprising small profile crossbars and walls and preferably high optical transparency material to increase visibility of a background graphic layer, and matching edge-panels for providing a cosmetic perimeter to the game board and for attaching a background graphic layer.