@article{oai:tsukuba.repo.nii.ac.jp:00031786, author = {秋山, 茂樹 and Akiyama, Shigeki and Harriss, Edmund}, issue = {10}, journal = {Discrete and continuous dynamical systems. Series A}, month = {Oct}, note = {Self-inducing structure of pentagonal piecewise isometry is applied to show detailed description of periodic and aperiodic orbits, and further dynamical properties. A Pisot number appears as a scaling constant and plays a crucial role in the proof. Further generalization is discussed in the last section.}, pages = {4375--4400}, title = {Pentagonal domain exchange}, volume = {33}, year = {2013} }