scholarly journals Visual Discrimination of the 17 Plane Symmetry Groups

Symmetry ◽  
2011 ◽  
Vol 3 (2) ◽  
pp. 207-219 ◽  
Author(s):  
Klaus Landwehr
Keyword(s):  
Visual Discrimination ◽  
Symmetry Groups ◽  
Plane Symmetry

The 17 Plane Symmetry Groups

1974 ◽  
Vol 58 (404) ◽  
pp. 123 ◽  
Author(s):  
R. L. E. Schwarzenberger
Keyword(s):  
Symmetry Groups ◽  
Plane Symmetry

Tessellations and plane symmetry groups as applied to the derivation of close-packed binary layers

1973 ◽  
Vol 29 (3) ◽  
pp. 234-243 ◽  
Author(s):  
M. O. Figueiredo
Keyword(s):  
Symmetry Groups ◽  
Plane Symmetry

Finite plane symmetry groups

1990 ◽  
Vol 67 (7) ◽  
pp. 549 ◽  
Author(s):  
Joseph A. Gallian
Keyword(s):  
Symmetry Groups ◽  
Plane Symmetry ◽  
Finite Plane

Symmetry groups of Moroccan geometric woodwork patterns

2013 ◽  
Vol 46 (6) ◽  
pp. 1834-1841 ◽  
Author(s):  
Youssef Aboufadil ◽  
Abdelmalek Thalal ◽  
My Ahmed El Idrissi Raghni
Keyword(s):  
Symmetry Groups ◽  
Plane Symmetry ◽  
Geometric Patterns

Many works report the classification and analysis of geometric patterns, particularly those found in the Alhambra, Spain, but few authors have been interested in Moroccan motifs, especially those made on wood. Studies and analyses made on nearly a thousand Moroccan patterns constructed on wood and belonging to different periods between the 14th and 19th centuries show that, despite their great diversity, only five plane groups are present. Groupsp4mmandc2mmare predominant,p6mmandp2mmare less frequent, whilep4gmis rare. In this work, it is shown that it is possible to obtain the 17 plane symmetry groups by using a master craftsmen's method calledHasba. The set of patterns are generated fromn-fold rosettes, considered as the basic motif, by theHasbamethod. The combination and the overlap between these basic elements generate other basic elements. By repeating these basic elements, it is possible to construct patterns having various symmetry groups. In this article, only uncoloured patterns are considered and the interlace patterns are disregarded.

Plane Symmetry Groups

1988 ◽  
Author(s):  
David W. Jensen ◽  
Robert G. Harvey
Keyword(s):  
Symmetry Groups ◽  
Plane Symmetry

The Plane Symmetry Groups: Their Recognition and Notation

1978 ◽  
Vol 85 (6) ◽  
pp. 439-450 ◽  
Author(s):  
Doris Schattschneider
Keyword(s):  
Symmetry Groups ◽  
Plane Symmetry

Relation Between the Iteration of Planar Retractable Plate Structure and Plane Symmetry Group

2021 ◽  
Vol 10 (2) ◽  
pp. 17-28
Author(s):  
Aylin Gazi Gezgin ◽  
Koray Korkmaz
Keyword(s):  
Symmetry Group ◽  
Numerical Analyses ◽  
Symmetry Groups ◽  
Plane Symmetry ◽  
Design Processes ◽  
Plate Structure

One of the most important issues in the design processes of retractable plate structure is to determine the most suitable shape of the plates that form an enclosure without any gaps or overlaps in both closed and open configurations of the structure. One of the approaches to find the most suitable shape of the plates is based on mathematical tessellation technique without using any kinematical or numerical analyses. Due to the usage of RPS on many different areas in architecture, it is just as important to be able to iterate them regularly. This study both focuses on the iteration of planar RPSs that are formed based on 1-uniform tessellation and develops a relation between iteration capacity of RPS and plane symmetry groups. By the help of developed relationship, it tries to realize whether this structure can be derived from 1-uniform tessellation and which tessellation should be selected before obtaining it.

The Plane Symmetry Groups: Their Recognition and Notation

1978 ◽  
Vol 85 (6) ◽  
pp. 439 ◽  
Author(s):  
Doris Schattschneider
Keyword(s):  
Symmetry Groups ◽  
Plane Symmetry

X-Ray Microanalysis of Nickel and Cobalt Intensified Peroxidase- Antiperoxidase For Verification of Reaction Sites

1985 ◽  
Vol 43 ◽  
pp. 468-469
Author(s):  
A. Angel ◽  
K. Miller ◽  
V. Seybold ◽  
R. Kriebel
Keyword(s):  
Reaction Mechanisms ◽  
Visual Discrimination ◽  
Osmium Tetroxide ◽  
Ultrastructural Level ◽  
Microscopic Level ◽  
Electron Microscopic Level ◽  
Electron Microscopic ◽  
X Ray ◽  
Insoluble Polymer ◽  
Cytochemical Reaction

Localization of specific substances at the ultrastructural level is dependent on the introduction of chemicals which will complex and impart an electron density at specific reaction sites. Peroxidase-antiperoxidase(PAP) methods have been successfully applied at the electron microscopic level. The PAP complex is localized by addition of its substrate, hydrogen peroxide and an electron donor, usually diaminobenzidine(DAB). On oxidation, DAB forms an insoluble polymer which is able to chelate with osmium tetroxide becoming electron dense. Since verification of reactivity is visual, discrimination of reaction product from osmiophillic structures may be difficult. Recently, x-ray microanalysis has been applied to examine cytochemical reaction precipitates, their distribution in tissues, and to study cytochemical reaction mechanisms. For example, immunoreactive sites labelled with gold have been ascertained by means of x-ray microanalysis.

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