Geometric Symmetry

Author(s):  
Manuel Laso ◽  
Nieves Jimeno
Keyword(s):  
2021 ◽  
Author(s):  
Guo Wei-Gui ◽  
Pei Zi-Xi ◽  
Qiu Xiang-Gang

Abstract Superconducting films with the same hole density but different geometric symmetry have been designed and fabricated. The R(H) curves show obvious periodic oscillations with several dips at fractional matching fields. It is found that the period of the oscillations in the low field is not necessary equal to that derived from the hole density, but consistent with that from the corresponding wire networks when the large disk-like film regions are regarded as nodes. The experimental results of R(H), T c (H) and j c (H) at fractional matching fields within the first oscillation also support the rationality of considering films with large-diametered hole arrays as wire networks. Our results demonstrate that the connectivity of superconducting films with large-diametered hole arrays plays a more important role in the oscillations of R(H) curves.


Author(s):  
T.B. Goldvarg ◽  
◽  
V.N. Shapovalov ◽  

Definitions are given and properties of inertial characteristics of solid are formulated; the influence of geometric symmetry of the body on its characteristics is described. The geometric approach to the presentation of the material is used.


2018 ◽  
Vol 91 (7) ◽  
Author(s):  
Jian-Hua Li ◽  
Yan-Dong Guo ◽  
Xiao-Hong Yan ◽  
Hong-Li Zeng ◽  
Xiao-Chen Song ◽  
...  

Author(s):  
Felix Arnold

This chapter describes how Islamic architecture developed more sober and abstract tendencies during the religious reforms of 1100-1250 CE as two successive Berber dynasties, first the Almoravids, then the Almohads, consolidated power and united Islamic rule in the western Mediterranean. During the reign of the Almoravids the palaces at Bin Yūniš, Onda, and Murcia show a steady transition from the styles of the tā’ifa-period to the distinctive architeture of the Almohads. Meanwhile, the palace of Monteagudo, constructed at the collapse of the Almoravids during the “second tā’ifa-period” fully introduced the Abbasid concept of space to the Iberian Peninsula and culminated the merger of fortified castles and residential palaces. Reflecting their interest in the governed community, the Almohads constructed their qasabas adjoined to cities, as may be seen in Marrakesh and Seville. An affinity for geometric symmetry and order, likely arising from Abbasid spatial conceptions, dictated the Almohads’ unadorned architectual style.


2014 ◽  
Vol 70 (3) ◽  
pp. 203-216 ◽  
Author(s):  
Egon Schulte

Skeletal polyhedra and polygonal complexes in ordinary Euclidean 3-space are finite or infinite 3-periodic structures with interesting geometric, combinatorial and algebraic properties. They can be viewed as finite or infinite 3-periodic graphs (nets) equipped with additional structure imposed by the faces, allowed to be skew, zigzag or helical. A polyhedron or complex isregularif its geometric symmetry group is transitive on the flags (incident vertex–edge–face triples). There are 48 regular polyhedra (18 finite polyhedra and 30 infinite apeirohedra), as well as 25 regular polygonal complexes, all infinite, which are not polyhedra. Their edge graphs are nets well known to crystallographers and they are identified explicitly. There are also six infinite families ofchiralapeirohedra, which have two orbits on the flags such that adjacent flags lie in different orbits.


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