  A general construction principle of inflation rules for decagonal
quasiperiodic tilings is proposed. The prototiles are confined to be polygons
with unit edges. An inflation rule for a tiling is the combination of an
expansion and a division of the tiles, where the expanded tiles can be divided
arbitrarily as far as the set of prototiles is maintained. A certain kind of
point decoration processes turns out to be useful for the identification of
possible division rules. The method is capable of generating a broad range of
decagonal tilings, many of which are chiral and have atomic surfaces with
fractal boundaries. Two new families of decagonal tilings are presented; one is
quarternary and the other ternary. Properties of the ternary tilings with
rhombic, pentagonal, and hexagonal prototiles are investigated in detail.
