貢中元的部落格

貢中元準晶表面觀測的一些貢中元結果

Some results of quasicrysta

l observationsSome results of quasicr

四向對稱十方準晶體最多可以有四個不同的中心

ystal observationsA quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational symmetryClassical theory of crystals reduces crystals to point lattices where each point is the center of mass of one of the identical units of the crystal. The structure of crystals can be analyzed by defining an associated group. Quasicrystals, on the other hand, are composed of more than one type of unit, so, instead of lattices, quasilattices must be used. Instead of groups, groupoids, the mathematical generalization of groups in category theory, is the appropriate tool for studying quasicrystals.[49]Here,

相當大比例的面積被位五邊形簇覆蓋

A significant  proportion of the area is covered by clusters of unit pentagons

A co

A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational symmetryClassical theory of crystals reduces crystals to point lattices where each point is the center of mass of one of the identical units of the crystal. The structure of crystals can be analyzed by defining an associated group. Quasicrystals, on the other hand, are composed of more than one type of unit, so, instead of lattices, quasilattices must be used. Instead of groups, groupoids, the mathematical generalization of groups in category theory, is the appropriate tool for studying quasicrystals.[49]Here,

Cluster morphologies intercepted from atomic sites converted from Penrose decagonal tiles can be divided into three types

從彭羅斯十邊形瓦片轉換的原子位點截取的團簇形貌可分為三種類型

 the category of

We categorize the discrete atom clusters found separated as different  groups

GROUPOID:

The clustr topography intercepted from the atomic sites converted from the Penrose decagonal tiles can be divided into three types

1. Pentagonal shape, euallateral , non equilateral length , with one atom in side and with two atoms in side,\
2.  

Circular shape,

3. Rectanglur shape , face center,  non centers,
4. Two parts : The topography from the atom sites that converted from the Penrose decagonal tiles. From the decagonal tiles converted to atom sites model,

nsiderable proportion of area was covered by unit pentagonal shaped clusters