Which state has the only non-rectangular state flag, shaped like a swallowtail pennant?

Which two states border the most other states, with eight each? Which state is divided into "parishes" instead of counties? Which state is divided into "boroughs" instead of counties? Which state has a unicameral (one-house) legislature? Which state flag features the Big Dipper and the North Star? Which state flag features a grizzly bear? Which state flag features the Zia sun symbol? Which state flag features a single white star on a blue stripe beside red and white stripes?