Five-fold quasiperiodic tilings generated by inflated rhombuses with identical boundaries: possible application to the growth of quasicrystals
作者： V.S.K. Balagurusamy , K. Ramesh , E.S.R. Gopal
DOI: 10.1016/0921-4526(92)90023-L
关键词: Quasicrystal 、 Quasiperiodic function 、 Inflation procedure 、 Substitution tiling 、 Mathematics 、 Rhombus 、 Pure mathematics 、 Close relationship 、 Penrose tiling
摘要: In order to generate normal Penrose tilings by inflation/deflation, decisions have be made regarding the matching of rhombuses/tilings with their neighbours. We show here that this decision-making problem can avoided adopting a deflation/inflation procedure which uses decorated rhombuses identical boundaries. The enables both kinds inflated match in any orientation along edges. so generated are quasiperiodic. These structures appear close relationship growth mechanism quasicrystals.
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