  A new family of decagonal quasiperiodic tilings are constructed by the use of
generalized point substitution processes, which is a new substitution formalism
developed by the author [N. Fujita, Acta Cryst. A 65, 342 (2009)]. These
tilings are composed of three prototiles: an acute rhombus, a regular pentagon
and a barrel shaped hexagon. In the perpendicular space, these tilings have
windows with fractal boundaries, and the windows are analytically derived as
the fixed sets of the conjugate maps associated with the relevant substitution
rules. It is shown that the family contains an infinite number of local
isomorphism classes which can be grouped into several symmetry classes (e.g.,
$C_{10}$, $D_5$, etc.). The member tilings are transformed into one another
through collective simpleton flips, which are associated with the
reorganization in the window boundaries.
