Tests of QED to Fourth Order in Alpha in Electron-Positron Collisions at 29 GeV

Tests of Quantum Electrodynamics to order a4 in e+e-collisions using the ASP detector at PEP (fi = 29 GeV) are presented. Measurements are made of e+e-+ yyyy, e+e-+ e+e-yy and e+e-+ e+e-e+e-where all four final state particles are separated from the beam line and each other. These are the most precise and highest statistics measurements yet reported for these processes. The ratios of measured t.o predicted cross sections are where the first uncertainty is the systematic uncertainty, and the second is the statistical uncertainty. All measurements show good agreement with theoretical predictions. A Monte Carlo method for simulating multi-pole processes is also presented, along with applications to the e+e-+ e+e-yy and e+e-+ yyyy processes. The first measurements of five-body CY' events (5y, e+e-yyy and e+e-e+e-y) and one candidate six-body a6 event (e+e-4y) are reported. Both the a5 and a6 measurements agree with estimates of their cross sections.