Symmetry Analysis of Step Fret Patterns on Ceramics and Other Media from Mesoamerica and the American Southwest

2018 ◽  
pp. 217-248 ◽  
Author(s):  
Dorothy K. Washburn
Keyword(s):  
American Southwest ◽  
Symmetry Analysis ◽  
Two Dimensional ◽  
Profound Change ◽  
One Dimensional ◽  
Design Structure ◽  
Political Dominance ◽  
Ceramic Design ◽  
Plane Pattern

The step fret motif is pervasive in ceramic design and other media throughout Mesoamerica and the American Southwest. Through both design structure and symmetry analysis, I show how the plane pattern symmetries that repeat the step fret motif reveal contact between the two areas from the Formative through the Postclassic periods in the form of shared pattern systems. The analysis highlights a profound change at the end of the Classic from one-color, one-dimensional designs to two-color, two-dimensional patterns that seems to correlate with changes in the nature of spheres of political dominance.

A Symmetry Analysis of Design Structure: 1,000 Years of Continuity and Change in Puebloan Ceramic Design

2010 ◽  
Vol 75 (4) ◽  
pp. 743-772 ◽  
Author(s):  
Dorothy K. Washburn ◽  
Donald W. Crowe ◽  
Richard V.N. Ahlstrom
Keyword(s):  
Social Relationships ◽  
Structural Integrity ◽  
Structure Design ◽  
American Southwest ◽  
Agricultural Communities ◽  
Continuity And Change ◽  
15Th Century ◽  
Design Structure ◽  
Settlement Type ◽  
Ceramic Design

This paper postulates that cultural entities with long term structural integrity are characterized by symmetrical relationships between and among the constituent sectors of society. We demonstrate how such social relationships are embedded in the symmetrical arrangements of motifs in geometric design. We test this premise with an analysis of 1000 years of ceramic design from the northern American Southwest, AD 600-1600, with a description of the continuities and changes in the plane pattern symmetries that structure design. Two major points of change in symmetry use at c. AD 900 and AD 1300 correlate with changes in settlement type from pithouses to unit pueblos and from unit pueblos to multi-storied plaza oriented pueblos that accompanied adjustments to changes in environmental conditions. We propose that in the American Southwest the predominant use of bifold symmetry is a structural metaphor for the reciprocal social relationships basic to the organization of small puebloan agricultural communities and that the changes in these symmetries reflect the changing integration of the household into an increasingly complex social system. This interpretation of the meaning of design structure is derived from cosmological principles embedded in 20th century ritual songs of the Hopi, descendents of the prehistoric puebloans, as well as depicted in images in their 15th century kiva wall murals. We present this interpretation of the sequence of pueblo development in the American Southwest in terms of the changing symmetrical nature of the social relationships that integrated the agricultural communities as an example of the insights possible with this new approach to design analysis.

scholarly journals Symmetry Analysis of Double-ikat Textile Patterns: Patan Patola and Geringsing

2018 ◽  
Vol 1 (2) ◽  
pp. 59
Author(s):  
Nyoman Dewi Pebryani
Keyword(s):  
Symmetry Group ◽  
Ethnic Groups ◽  
Symmetry Analysis ◽  
Point Symmetry ◽  
Two Dimensional ◽  
High Similarity ◽  
One Dimensional ◽  
Symmetry Classes ◽  
Close Relationship

Symmetry analysis of the patterns appearing in the Patan Patola and Geringsing textiles produced by the double ikat technique in India and Indonesia can provide information about cultural relationship between these two ethnic groups. Symmetry, which describes the motion which generates a repeated design, are categorized under classes based on the theory of symmetry group. This study used 8 textile samples: 4 Patan Patola textiles and 4 Geringsing textiles collected from an exhibition catalogue. Each sample was then examined based on the symmetry group classes using three categories: point symmetry and one-dimensional and two-dimensional classes. The results show a high similarity in these symmetry classes for the samples from these two ethnic groups, suggesting the patterns have a common connection. Patan Patola and Geringsing textile patterns admitted p111 and d4 in all samples, indicating intense interaction. Hence, this study provides additional evidence of a close relationship between the areas that produce these textiles

scholarly journals Symmetry Analysis and Conservation Laws of a Generalized Two-Dimensional Nonlinear KP-MEW Equation

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Khadijo Rashid Adem ◽  
Chaudry Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Expansion Method ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Optimal System ◽  
Two Dimensional ◽  
Lie Symmetry Analysis ◽  
One Dimensional ◽  
Similarity Reductions

Lie symmetry analysis is performed on a generalized two-dimensional nonlinear Kadomtsev-Petviashvili-modified equal width equation. The symmetries and adjoint representations for this equation are given and an optimal system of one-dimensional subalgebras is derived. The similarity reductions and exact solutions with the aid ofG′/G-expansion method are obtained based on the optimal systems of one-dimensional subalgebras. Finally conservation laws are constructed by using the multiplier method.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

State-of-the-Art of Modeling Surface Water Impoundments

1982 ◽  
Vol 14 (1-2) ◽  
pp. 241-261 ◽  
Author(s):  
P A Krenkel ◽  
R H French
Keyword(s):  
Water Quality ◽  
Surface Water ◽  
State Of The Art ◽  
Rate Coefficients ◽  
Two Dimensional ◽  
One Dimensional ◽  
Integral Energy ◽  
Range Of Values ◽  
Dimensional Integral ◽  
Water Impoundment

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

The formation of gas hydrates under shock wave impact on the bubble media (two-dimensional case)

2010 ◽  
Vol 7 ◽  
pp. 90-97
Author(s):  
M.N. Galimzianov ◽  
I.A. Chiglintsev ◽  
U.O. Agisheva ◽  
V.A. Buzina
Keyword(s):  
Shock Wave ◽  
Gas Hydrates ◽  
Hydrate Formation ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Wave Impact ◽  
Bubble Liquid ◽  
One Dimensional ◽  
Bubble Media ◽  
Main Factors

Formation of gas hydrates under shock wave impact on bubble media (two-dimensional case) The dynamics of plane one-dimensional shock waves applied to the available experimental data for the water–freon media is studied on the base of the theoretical model of the bubble liquid improved with taking into account possible hydrate formation. The scheme of accounting of the bubble crushing in a shock wave that is one of the main factors in the hydrate formation intensification with increasing shock wave amplitude is proposed.

Modifications of the Godunov method for computing disturbance propagation in an elastic body

2016 ◽  
Vol 11 (1) ◽  
pp. 119-126 ◽  
Author(s):  
A.A. Aganin ◽  
N.A. Khismatullina
Keyword(s):  
Elastic Body ◽  
Godunov Method ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Order Accuracy ◽  
One Dimensional ◽  
Disturbance Propagation ◽  
Linear Waves ◽  
Longitudinal And Shear Waves ◽  
Contact Discontinuities

Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO-modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.

Investigation of two-dimensional nonstationary processes of outflow a gas-saturated liquid from axisymmetric vessels

2012 ◽  
Vol 9 (1) ◽  
pp. 47-52
Author(s):  
R.Kh. Bolotnova ◽  
V.A. Buzina
Keyword(s):  
Comparative Analysis ◽  
Numerical Model ◽  
Liquid Mixture ◽  
Phase Model ◽  
Test Problems ◽  
Two Dimensional ◽  
Nonstationary Processes ◽  
Saturated Liquid ◽  
Two Phase ◽  
One Dimensional

The two-dimensional and two-phase model of the gas-liquid mixture is constructed. The validity of numerical model realization is justified by using a comparative analysis of test problems solution with one-dimensional calculations. The regularities of gas-saturated liquid outflow from axisymmetric vessels for different geometries are established.

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