Application of Fractal Geometry in Textile Digital Printing Pattern Design

In order to obtain the automatic simulation generation of traditional handmade batik patterns in a computer, this paper proposes the automatic generation method of batik flower patterns based on fractal geometry. Firstly, we analyze the fractal characteristics of batik flowers and design an automatic flower generation algorithm based on a two-dimensional iterated function system (IFS) and a curve function. The algorithm forms a complete flower pattern. Secondly, a nonlinear function is defined and the flower pattern is introduced into the nonlinear function to iterate and change. On this basis, we present an automatic generation method of different distribution patterns for flower patterns which obtains the most effective range of each parameter value for each function. Finally, in order to verify the feasibility of the automatic generation method of batik flower patterns, we develop an automatic generation experiment system for batik patterns via an interactive way of working. The results show that the user or designer can quickly and automatically simulate a series of flower patterns by changing the relevant parameter values, realizing the digitization and innovative design of the pattern and enriching the batik pattern base.

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Relief Method: The Analysis of Architectonic Façades by Fractal Geometry

Buildings ◽

10.3390/buildings11010016 ◽

2020 ◽

Vol 11 (1) ◽

pp. 16

Author(s):

Vilmos Katona

Keyword(s):

Fractal Geometry ◽

Strong Sense ◽

Two Dimensional ◽

Architectural Theory ◽

Historical Buildings ◽

Pattern Design ◽

Important Concern ◽

Fractal Patterns ◽

Spatial Quality ◽

Conscious Thinking

This paper explores the working hypothesis that fractal patterns that closely match those found in nature are more likely to convey a strong sense of genius loci to humans by comparison with ‘Euclidean’ patterns that do not occur in nature frequently. A part of this survey is concerned with showing the pattern-conscious thinking, regarding the façade composition and material textures, of historical buildings compared to different ecological or geological scenes. We also examine the background of pattern-design from architectural theory, and extrapolate the matter to certain questions about spatial quality, tectonics, and the phenomenon of place. Our most important concern is an attempt to enhance architectural arguments regarding place and character with mathematical calculations. We introduce ‘relief method’ as a possible way to capture the haptic nature of architecture beyond the patterns of its two-dimensional projections. Through this approach, façades are considered as reliefs and pictures at the same time, thus reflecting the tension between their materiality and visual representation. Fractal geometry also helps to understand how architectonic layers define scale, and by which means architecture could be translated into the human level of physical existence.

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Fractal geometry

10.1533/9780857099594 ◽

2002 ◽

Cited By ~ 3

Author(s):

J.M. Blackledge ◽

A.K. Evans ◽

M.J. Turner

Keyword(s):

Fractal Geometry

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Predicting the Effect of Tire Tread Pattern Design on Thick Film Wet Traction

Tire Science and Technology ◽

10.2346/1.2167230 ◽

1977 ◽

Vol 5 (1) ◽

pp. 6-28 ◽

Cited By ~ 2

Author(s):

A. L. Browne

Keyword(s):

Experimental Data ◽

Network Design ◽

Thick Film ◽

Digital Computer ◽

Analytical Tool ◽

Design Practice ◽

Pattern Design ◽

Performance Results ◽

Good Agreement

Abstract An analytical tool is presented for the prediction of the effects of changes in tread pattern design on thick film wet traction performance. Results are reported for studies in which the analysis, implemented on a digital computer, was used to determine the effect of different tread geometry features, among these being the number, width, and lateral spacing of longitudinal grooves and the angle of zigzags in longitudinal grooves, on thick film wet traction. These results are shown to be in good agreement with experimental data appearing in the literature and are used to formulate guidelines for tread groove network design practice.

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Emerging Opportunities for Commercial Digital Printing Processes in the Fine Arts

International Symposium on Technologies for Digital Photo Fulfillment ◽

10.2352/issn.2169-4672.2014.5.0.12 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 12-14

Author(s):

Frank Cost ◽

James E. McGhee

Keyword(s):

Fine Arts ◽

Digital Printing ◽

Printing Processes

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FLOOD ADAPTIVE SETTLEMENTS TOWARDS URBAN DEVELOPMENT IN THE RIPARIAN OF MEUREUDU RIVER, ACEH PROVINCE, INDONESIA

Malaysian Journal of Sustainable Environment ◽

10.24191/myse.v6i2.8685 ◽

2019 ◽

Vol 6 (2) ◽

pp. 47

Author(s):

Mirza Irwansyah ◽

Cut Nursaniah ◽

Laila Qadri

Keyword(s):

Quantitative Methods ◽

Secondary Data ◽

Easy Access ◽

Water Runoff ◽

Pattern Design ◽

The People ◽

Large Numbers ◽

Aceh Province ◽

Secondary Data Sources ◽

Residential Pattern

Meureudu Riparian in the past was a place of a collective settlements; it was then developed to become a Meureudu City in Aceh Province, Indonesia. Initially, it was formed as traditional fishermen settlements but now has shifted into semi-modern settlements. However, the settlements developed sporadically to form an unplanned pattern of settlements. This condition resulted in low maintaining river and non-adaptive existence of the dwellings with the environment. Floods occur repeatedly in the river that affected great lost to the community. This study aimed to propose residential pattern design and adaptive settlements with Meureudu River riparian. Easy access roads to markets will facilitate economy growth to the people. This will also cause large numbers of unbridled migrants to enter and build settlements. In this study the a combination of quantitative methods based on interview data and questionnaires and qualitative exploratory methods based on field observation were used. The data were collected through observation, field measurement and secondary data sources. The results show that the condition of settlements along the river basin do not reflect the culture of the river. In order not to further aggravate the condition of the settlement and its impact on the occupants, we recommended two types of houses, namely in the form of stage and non-stage. The stage houses are located on the riverfront with an orientation overlooking the river. Additionally, undersea area can be used as security from the puddle of river water runoff during the flood and as a garden area and public while dry, while at a distance of 100 meters from the river non-stage houses form would be built because the runoff of flood water no longer affects the occupancy.

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Optimal Density Determination of Bouguer Anomaly Using Fractal Analysis (Case of study: Charak area,IRAN)

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v1i1.2140 ◽

2005 ◽

Vol 1 (1) ◽

pp. 21-24

Author(s):

Hamid Reza Samadi

Keyword(s):

Surface Roughness ◽

Fractal Dimension ◽

Fractal Analysis ◽

Fractal Geometry ◽

Host Rock ◽

Bouguer Anomaly ◽

Research Area ◽

Density Difference ◽

Optimal Density

In exploration geophysics the main and initial aim is to determine density of under-research goals which have certain density difference with the host rock. Therefore, we state a method in this paper to determine the density of bouguer plate, the so-called variogram method based on fractal geometry. This method is based on minimizing surface roughness of bouguer anomaly. The fractal dimension of surface has been used as surface roughness of bouguer anomaly. Using this method, the optimal density of Charak area insouth of Hormozgan province can be determined which is 2/7 g/cfor the under-research area. This determined density has been used to correct and investigate its results about the isostasy of the studied area and results well-coincided with the geology of the area and dug exploratory holes in the text area

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An Exercise in a Transdisciplinary Approach for New Knowledge Paradigms

Human and Social Studies ◽

10.2478/hssr-2013-0042 ◽

2014 ◽

Vol 3 (3) ◽

pp. 114-143

Author(s):

Gabriel Crumpei ◽

Maricel Agop ◽

Alina Gavriluţ ◽

Irina Crumpei

Keyword(s):

Quantum Mechanics ◽

20Th Century ◽

Chaos Theory ◽

Fractal Geometry ◽

Science And Religion ◽

Transdisciplinary Approach ◽

Linear Dynamics ◽

New Knowledge ◽

Religious Perspectives ◽

Energy Information

Abstract In this paper, we aim at an exercise that is transdisciplinary, involving science and religion, and interdisciplinary, involving disciplines and theories which appeared in the second half of the 20th century (e.g., topology, chaos theory, fractal geometry, non-linear dynamics, all of which can be found in the theory of complex systems). The latter required the reformulation of quantum mechanics theories starting with the beginning of the century, based on the substance-energy-information triangle. We focus on information and we also attempt a transdisciplinary approach to the imaginary from a psychological - physical - mathematical perspective, but the religious perspectives find their place along with the philosophical or even philological vision

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Automated optimal stiffener pattern design

10.2514/6.1998-4815 ◽

1998 ◽

Author(s):

Hae Gea ◽

Jianhui Luo

Keyword(s):

Pattern Design

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