A pressure sore prevention mattress is provided alternating pressure points on the body of an occupant that is easily transformable between two stable configurations. The four-layer mattress construction has a top foam pad, a webbing layer, a dynamic layer of deformable panels trapezoid-shaped four-bar mechanisms that deform to produce an undulating pattern of peaks, and a base. Panel geometry can determine peak height. The mattress has a spatially hollow geometry that allows natural air convection through the breathable top foam pad to enable drying of moisture as well as the use of forced air convective drying or cooling. The mattress can be transformed from one configuration to the other while the occupant is on the mattress.