Many people have a slightly cushioned cutting surface. Some use short pile carpets or rugs, others use thin rubber or foam sheets, others use dining table protectors. All these are useful for cutting large pieces and have advantages and disadvantages.
- Carpets and foam can trap shards of glass, so have to be cleaned very carefully to avoid retaining sharp glass within the pile or foam.
- Smooth, wipe-able surfaces avoid trapping glass, but can be slippery. Choose one with a non-slip surface.
It is better to cut small pieces on smooth hard surfaces, as the flexible surface will not provide overall support, and so allow breaks, especially on long thin pieces.
Clean the glass, at least along the cut line, as this makes the action of the cutter smoother. The grit on the glass actually interrupts the action of the wheel, so you get a staccato effect in the score line.