Colorings of hyperbolic plane crystallographic patterns

AbstractIn color symmetry the basic problem has always been to classify symmetrically colored symmetrical patterns [13]. An important step in the study of color symmetry in the hyperbolic plane is the determination of a systematic approach in arriving at colored symmetrical hyperbolic patterns. For a given uncolored semi-regular tiling with symmetry group

Download Full-text

Symmetry groups associated with tilings on a flat torus

Acta Crystallographica Section A Foundations and Advances ◽

10.1107/s205327331402419x ◽

2015 ◽

Vol 71 (1) ◽

pp. 99-110 ◽

Cited By ~ 1

Author(s):

Mark L. Loyola ◽

Ma. Louise Antonette N. De Las Peñas ◽

Grace M. Estrada ◽

Eko Budi Santoso

Keyword(s):

Symmetry Group ◽

Geometric Modeling ◽

Three Dimensional ◽

Symmetry Groups ◽

Flat Torus ◽

Color Symmetry ◽

Symmetry Properties

This work investigates symmetry and color symmetry properties of Kepler, Heesch and Laves tilings embedded on a flat torus and their geometric realizations as tilings on a round torus in Euclidean 3-space. The symmetry group of the tiling on the round torus is determined by analyzing relevant symmetries of the planar tiling that are transformed to axial symmetries of the three-dimensional tiling. The focus on studying tilings on a round torus is motivated by applications in the geometric modeling of nanotori and the determination of their symmetry groups.

Download Full-text

The Bethe lattice : a regular tiling of the hyperbolic plane

Journal de Physique Lettres ◽

10.1051/jphyslet:01982004308024900 ◽

1982 ◽

Vol 43 (8) ◽

pp. 249-252 ◽

Cited By ~ 21

Author(s):

R. Mosseri ◽

J.F. Sadoc

Keyword(s):

Hyperbolic Plane ◽

Bethe Lattice ◽

Regular Tiling

Download Full-text

Costi di produzione ed erogazione di acqua potabile. Una proposta di analisi dell'efficienza

ECONOMIA PUBBLICA ◽

10.3280/ep2008-001003 ◽

2009 ◽

pp. 79-116

Author(s):

Gianni Bianco ◽

Pierluigi Cecati

Keyword(s):

Budget Deficit ◽

Basic Problem ◽

Scale Economies ◽

Administrative Monopoly ◽

Minimal Dimension ◽

National Characteristics ◽

Drinkable Water ◽

The Moment

- Water will be a basic problem in the future of the world. At the moment in Italy the main problem lies in water reserve reductions facing a growing demand, while for drinkable water more and more administrator authorities are facing a budget deficit. The causes of this national and local situation are the administrative monopoly and the absence of planning and coordination policies, that would rationalize water use without rationing it, starting from an awareness of the costs of different involved variables. The economic quality of spring and consumption water, the oldness of the waterworks and pipe networks, the extreme fragmentation of waterworks (often of minimal dimension), their territorial localisation, the absence of a common method of charges, the scanty use of analysis of management, are some of the causes of a unique and surprising variability of costs, proceeds and tariffs. This paper analyzes the generation and the structure of the costs of drinkable water in an area representative of many national characteristics on the environmental, physic and socio-economic level. The quest for more efficient forms of management and for a more transparent determination of the tariffs has been carried on through the use of custom indexes of productivity and of production. These indexes summarise the existence of scale economies, of pipe network related diseconomies, and of economies of localisation and density of the consumers. The paper presents a synthesis of the observations gathered from about two hundred waterworks subdivided by owner and entrepreneurial typologies

Download Full-text

Determination of the Molecular Symmetry Group

Mathematics for Chemistry & Physics ◽

10.1016/b978-012705051-5/50020-2 ◽

2002 ◽

pp. 369-371

Keyword(s):

Symmetry Group ◽

Molecular Symmetry

Download Full-text

Determination of the Criminal Offense Elements in the Safety Rules Violation during Mining Operations

E3S Web of Conferences ◽

10.1051/e3sconf/201910502012 ◽

2019 ◽

Vol 105 ◽

pp. 02012 ◽

Cited By ~ 3

Author(s):

Olga Safargalieva ◽

Oleg Sergeev ◽

Yuriy Volgin ◽

Marina Agienko

Keyword(s):

Systematic Approach ◽

Basic Element ◽

Mining Operations ◽

Criminal Offense ◽

Official Position ◽

Initial Stage ◽

The Subject ◽

Safety Rules

In the article, from the standpoint of a systematic approach, the forensic characterization of safety rules criminal violations during mining operations is analyzed. That is the basic element which determines the content and algorithm of uncovering of crimes, the investigation and trial of a criminal case. The subject (the identity of offender) is its central, basic element. It is noted that the element of subject (the identity of offender) is the most informative when investigating criminal violations of safety rules during mining operations. It is based on his study in the unity and interrelation of the following aspects: official position, social and psychological properties and personality traits and victimization behavior of the criminal offence victims and third parties. The situation of a crime (the second element of forensic characterization) is structured according to the circumstances that characterize pre-, criminal, and post-criminal state of outward things; three interrelated and interdependent are pointed out. The complex combination of the levels and edges of each selected elements of a cognizable object, due to the specifics of the crime in question, also determines the peculiarities of investigative actions and search activities at the initial stage of the investigation of safety rules criminal violations during mining operations. The article proposes recommendations to overcome the objective difficulties encountered in the investigation of criminal violations of safety rules during mining operations.

Download Full-text

Determination of Gyroscopic Drifts Associated With Angular Support Motions

Journal of Applied Mechanics ◽

10.1115/1.3408502 ◽

1970 ◽

Vol 37 (2) ◽

pp. 279-286

Author(s):

R. A. Wenglarz

Keyword(s):

Differential Equations ◽

Digital Computer ◽

Systematic Approach ◽

Equations Of Motion ◽

System Parameters ◽

Constant Rate ◽

Wide Range ◽

Fixed Line

A previously proposed systematic approach for the analysis of gyroscopic drifts associated with angular support motions is further developed. For a wide range of support motions, the problem of determination of drifts is reduced to the evaluation of four integrals. The validity of the theory is tested by applying it to a gyroscope experiencing a constant rate about a fixed line and comparing the resulting predictions with those of digital computer solutions of the exact differential equations of motion, and formulas relating steady drifts to system parameters are presented.

Download Full-text