%0 Book Section %1 statphys23_0360 %A Jeong, H.C. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K algorithm growth penrose quasicrystals statphys23 tiling topic-9 %T Local Growth Algorithm for a Perfect Decagonal Quasicrystal %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=360 %X We present a local growth algorithm for a decagonal quasicrystal. Using a three dimensional (3D) local growth rule, we grow a perfect Penrose tiling (PPT) layer on a growing decapod tiling layer. Once a PPT layer begins to form on the upper layer, successive 2D PPT layers can be added on top resulting in a perfect decagonal quasicrystal structure in bulk. Our growth rule implies that an ideal quasicrystal structure can be constructed by a local growth rule in 3D, contrary to the requirement of nonlocal information for a 2D PPT growth.

@incollection{statphys23_0360, abstract = {We present a local growth algorithm for a decagonal quasicrystal. Using a three dimensional (3D) local growth rule, we grow a perfect Penrose tiling (PPT) layer on a growing decapod tiling layer. Once a PPT layer begins to form on the upper layer, successive 2D PPT layers can be added on top resulting in a perfect decagonal quasicrystal structure in bulk. Our growth rule implies that an ideal quasicrystal structure can be constructed by a local growth rule in 3D, contrary to the requirement of nonlocal information for a 2D PPT growth.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Jeong, H.C.}, biburl = {https://www.bibsonomy.org/bibtex/2649d48af66ece22de34ab8a87476baf7/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {59a2a8ee20afa3113d5d67b89f9ef147}, intrahash = {649d48af66ece22de34ab8a87476baf7}, keywords = {algorithm growth penrose quasicrystals statphys23 tiling topic-9}, month = {9-13 July}, timestamp = {2007-06-20T10:16:18.000+0200}, title = {Local Growth Algorithm for a Perfect Decagonal Quasicrystal}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=360}, year = 2007 }