Pattern Formation Using Cellular Automata and L-Systems: A Case Study in Producing Islamic Patterns

Minoofam, Seyyed Amir Hadi; Dehshibi, Mohammad Mahdi; Bastanfard, Azam; Shanbehzadeh, Jamshid

doi:10.1007/978-3-319-06431-4_12

Cited by 8 publications

(5 citation statements)

References 16 publications

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“…Where will I be? In [98,106,107,108,109], the dynamics of the complexity of Persian orthography were discovered from different perspectives to understand how the Persian language developed over time. The Pattern Formation paradigm in modelling Persian words, as a complex system, was considered in which L-systems rules were used, and complexity measures of these generative systems were calculated.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

East-West paths to unconventional computing

Adamatzky

Akl

Burgin³

et al. 2017

Progress in Biophysics and Molecular Biology

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Unconventional computing is about breaking boundaries in thinking, acting and computing. Typical topics of this non-typical field include, but are not limited to physics of computation, non-classical logics, new complexity measures, novel hardware, mechanical, chemical and quantum computing. Unconventional computing encourages a new style of thinking while practical applications are obtained from uncovering and exploiting principles and mechanisms of information processing in and functional properties of, physical, chemical and living systems; in particular, efficient algorithms are developed, (almost) optimal architectures are designed and working prototypes of future computing devices are manufactured. This article includes idiosyncratic accounts of 'unconventional computing' scientists reflecting on their personal experiences, what attracted them to the field, their inspirations and discoveries.

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Section: Accepted Manuscriptmentioning

confidence: 99%

East-West paths to unconventional computing

Adamatzky

Akl

Burgin³

et al. 2017

Progress in Biophysics and Molecular Biology

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“…Mustapha and Krishnamurti (2001) introduced a prototype for generating calligraphic patterns. Minoofam et al (2014) conducted research on Persian words using cellular automation. Their approach was based on pixels and analysis was undertaken using 3 by 3 squares (Moore neighborhood).…”

Section: Introductionmentioning

confidence: 99%

Generating Square Kufic Patterns Using Cellular Automata

Sabetfard

Nadimi

2019

Nexus Netw J

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This paper investigates square Kufic scripts, a type of architectural decorative art in Islamic culture, as a visual pattern. Considerable research has been carried out previously on the subject, treating the square Kufic scripts as text. In contrast, the visual approach of this paper proposes that the pattern generation in Kufic scripts needs to be investigated. The main contribution of this research is presenting a novel algorithm to create square Kufic patterns that can totally cover a planar shape. In traditional definitions, such a pattern is called mushkil ('complicated') being special because of the "readability" of both black and white words, by its own criteria. The design principles implemented in the algorithm are adopted from original written sources. Also, some new principles are proposed here to make up for the limited availability of sources. In comparison to other methods, the proposed method is much simpler and more effective in terms of formal analysis and generation.

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“…Ma'qeli script is a sort of ancient Persian script with amazing features. Minoofam et al [11][12][13] generated all forms of the Ma'qeli script with synchronous block two-dimensional asynchronous cellular automata and a Margolus neighborhood as well as three holy Islamic words using L-systems. To show the simplicity and efficiency of the proposed method, they conducted a set of experiments in which the capability of both synchronous and asynchronous cellular automata with one-and twodimensional structures and different neighborhoods was examined.…”

Section: Introductionmentioning

confidence: 99%

On Complexity of Persian Orthography: L-Systems Approach

Taghipour¹,

Javadi²,

Dehshibi³

et al. 2016

ComplexSystems

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To understand how the Persian language developed over time, we uncover the dynamics of complexity of Persian orthography. We represent Persian words by L-systems and calculate complexity measures of these generative systems. The complexity measures include degrees of nonconstructability, generative complexity, and morphological richness; the measures are augmented with time series analysis. The measures are used in a comparative analysis of four representative poets: Rudaki (858-940 AD), Rumi (1207-1273), Sohrab (1928-1980), and Yas (1982. We find that irregularity of the Persian language, as characterized by the complexity measures of L-systems representing the words, increases over temporal evolution of the language.Complex Systems, 25 Figure 3. Absolute complexity (vertical axis) in comparison with relative complexity (horizontal axis). (a) Start string; (b) Rule string. 132 N. Taghipour et al. Complex Systems, 25

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Pattern Formation Using Cellular Automata and L-Systems: A Case Study in Producing Islamic Patterns

Cited by 8 publications

References 16 publications

East-West paths to unconventional computing

East-West paths to unconventional computing

Generating Square Kufic Patterns Using Cellular Automata

On Complexity of Persian Orthography: L-Systems Approach

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