Brief History of Classical Mirror Symmetry

Author(s):  
Masao Jinzenji
Keyword(s):  
2014 ◽  
Vol 70 (a1) ◽  
pp. C1304-C1304
Author(s):  
Tsuyoshi Inoue ◽  
Yoko Sugawara ◽  
Atsushi Nakagawa ◽  
Masaki Takata

"We can find many seeds of crystallography in Japanese culture. Most of the family crests have symmetry elements such as rotation axes and mirror symmetry elements. Sekka-zue, a picture book of 86 kinds of crystals of snow, was made by Toshitura Doi, who is a feudal lord in Edo-period and he observed snow using a microscope in nineteenth century. In recent years, people enjoy to make crystal structures, polyhedrons, carbon nanotube, quasicrystal etc. by origami, the art of folding paper [1]. In the field of science, the Japanese crystallography has contributed to explore culture and art. An excellent example is unveiling the original color of Japanese painting "Red and White Plum Blossoms" by Korin Ogata [2]. Prof. Izumi Nakai (Tokyo University of Science) developed an X-ray fluorescence analyzer and an X-ray powder diffractometer designated to the investigation of cultural and art works and had succeeded in reproducing the silver-colored waves through computer graphics after X-ray analyses of crystals on the painting. The scientific approach by Prof. Nakai et al. unveiled the mystery of cultural heritage of ancient near east, ancient Egypt etc. and is being to contribute to insight into the history of human culture. [1] An event to enjoy making crystals by origami is under contemplation. [2] The symposium ""Crystallography which revives heritages"" was held on February 16, 2014 at Atami in Japan."


1959 ◽  
Vol 9 ◽  
pp. 51-79
Author(s):  
K. Edwards

During the last twenty or twenty-five years medieval historians have been much interested in the composition of the English episcopate. A number of studies of it have been published on periods ranging from the eleventh to the fifteenth and early sixteenth centuries. A further paper might well seem superfluous. My reason for offering one is that most previous writers have concentrated on analysing the professional circles from which the bishops were drawn, and suggesting the influences which their early careers as royal clerks, university masters and students, secular or regular clergy, may have had on their later work as bishops. They have shown comparatively little interest in their social background and provenance, except for those bishops who belonged to magnate families. Some years ago, when working on the political activities of Edward II's bishops, it seemed to me that social origins, family connexions and provenance might in a number of cases have had at least as much influence on a bishop's attitude to politics as his early career. I there fore collected information about the origins and provenance of these bishops. I now think that a rather more careful and complete study of this subject might throw further light not only on the political history of the reign, but on other problems connected with the character and work of the English episcopate. There is a general impression that in England in the later middle ages the bishops' ties with their dioceses were becoming less close, and that they were normally spending less time in diocesan work than their predecessors in the thirteenth century.


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