Polystrate fossils are one of numerous evidences for the rapid deposition of strata, as opposed to the uniformitarian belief in slow deposition over millions of years. They are briefly described from the Joggins Formation, Nova Scotia; Yellowstone National Park, Montana and Wyoming; Ginkgo Petrified Forest State Park, Washington; the Geodetic Hills of Axel Heiberg Island; the Lompoc diatomite, California; and a diatomite from Peru. Uniformitarian geologists usually ignore polystrate fossils or claim that they represent only local rapid deposition, but they rarely supply any supporting evidence. A new location with polystrate petrified trees is described from open-pit coal mines in Alaska. About twenty upright trees at many different levels support rapid deposition of the strata there. The upright trees can be explained by the creationist log mat model, and evidence from the coal mines supports that interpretation.