A modular mounting system includes a panel with a hexagonal array of primary apertures each of which has at least three planes of symmetry. Each of the primary apertures is separated from an adjacent primary aperture by a secondary aperture comprising an elongated opening having a length that is greater than the width of a PALS strap. A mounting system comprising a backing plate, an optional separate indexing plate and a front mounting bracket can be assembled to the panel to provide a rigid attachment between the equipment and the panel.