We employ a novel plaquette basis to investigate static and dynamic pr
operties of Heisenberg spin ladders; these materials share some of the
important features of high-temperature superconductors. Insights affo
rded by this new basis suggest a very efficient truncation scheme for
more precise calculations. When the small truncation errors are accoun
ted for using recently developed contractor renormalization techniques
, very accurate results requiring a small fraction of the computationa
l effort of exact calculations are obtained. These methods allow us to
determine the energy/site, the spin gap, and the spin response for up
to 2 x 16 ladders.