Physics – Mathematical Physics
Scientific paper
2009-11-27
Physics
Mathematical Physics
7 pages, 4 figures, submitted to the proceedings of Aperiodic'09
Scientific paper
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.
No associations
LandOfFree
A family of ternary decagonal tilings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A family of ternary decagonal tilings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A family of ternary decagonal tilings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-195205