Fractals with arbitrary segment lengths

Work in the area of fractal geometry has generally focused on a specific facet of the discipline at the expense of other interesting features. This approach often generates more questions than answers for the general audience due to the lack of unification across all views. It appears that a common thread to relate all aspects of fractal characteristics is missing. This paper addresses this question and presents some new and fascinating results. For example, in-depth mathematical analysis often defers to the intriguing and attractive graphical displays produced by mapping the complex plane to the pixel field on a CRT. Both area, mathematics and graphics, are generally developed or presented independently. the development of common attribute linkages is done separately or perhaps not at all. First, a completely modular survey of the state of the art concerning regular fractal geometry is given. In addition, a method for calculating the fractal dimension of asymmetric fractals is proposed, where a symmetric fractal is a special case of an asymmetric fractal --page iii

Musical Aspects of Fractal Geometry

The author will discuss the direction and goals of his research into applications of fractal processes to automated musical composition. Factors relating to the choice of fractal methods, the application of geometric formalisms to music, and the aesthetic implications of self-similarity- will be discussed. Tape recorded examples of musical fractals will be played. The report will conclude with a summary of problems encountered and challenges presented to future research in this area

New Software Composition Tools

This paper briefly discusses a number of software tools developed at the author\u27s studio through the course of research work into algorithmic composition. Most of the tools developed are directly related to recursive techniques; some, however, arise from more general techniques of algorithmic composition first described by Joseph Schillinger. Examples of recursive techniques include: • META-FRACTALS - separating musical content from recursive structure • the Lorenz attractor and Koch snowflake as musical generators • Iterated Function Systems as musical generator • dynamic values in the logistic equation and the Mandelbrot set. Non-recursive tools include: • the Intelligent Interval Tool - a form of limited contrapuntal intelligence • the Harmonic Activator - Schillinger arpeggiation tool • the Arbitrary Pattern Generator • the smart duration operator • the Granulator - applying a granular synthesis process at the note-level It is hoped that the brief descriptions of these functions will stimulate the imagination of other composers

Fractal art(ists)

What is fractal art? To answer this question we have interviewed a number of prominent fractal artists, asking questions about their art, view of the world, career, and about relationships between fractals and reality

PEMODELAN 3D MOTIF CINCIN DAN PERHIASAN LAINNYA DENGAN FRAKTAL

Pada penelitian ini, penulis membahas Pemodelan Motif CinCin dan Perhiasan dengan Fraktal Tiga Dimensi (3D). Penelitian ini dilatarbelakangi dengan fakta bahwa kearifan lokal untuk motif cincin emas dan perak serta perhiasan lainnya dari Kota Gede Yogyakarta dan Kendari Sulawesi nampak sudah diatur dan berpola tetap. Walaupun motifnya beragam, namun desain kurang bervariasi, sehingga Nampak monoton. Untuk itu, diperlukan desain motif yang lebih unik, menarik dan bernilai jual tinggi. Pemodelan motif 3D ini menggunakan OpenGL dan bahasa pemrograman C. Pemodelan telah diuji dengan menggunakan sistem Operasi Windows. Pada penelitian ini telah dihasilkan 340 desain cincin unik yang bernuansa tradisional dan modern. Secara keseluruhan, luaran yang dihasilkan dari penelitian ini pada tahun ke dua adalah (i) aplikasi mobile untuk pembuatan model 3D untuk cincin (iii) satu makalah yang diseminarkan di 2015 The Annual Conference on Engineering and Technology di Nagoya Jepang pada 4-6 Nov 2015 (iv) draft buku ajar: “Pemodelan Fraktal 3D untuk Cincin dan Perhiasan Lainnya”

Mapping boundaries of generative systems for design synthesis

Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Architecture, 2007.Page 123 blank.Includes bibliographical references (p. 121-122).Architects have been experimenting with generative systems for design without a clear reference or theory of what, why or how to deal with such systems. In this thesis I argue for three points. The first is that generative systems in architecture are implemented at a skin-deep level as they are only used to synthesize form within confined domains. The second is that such systems can be only implemented if a design formalism is defined. The third is that generative systems can be deeper integrated within a design process if they were coupled with performance-based evaluation methods. These arguments are discussed in four chapters: 1- Introduction: a panoramic view of generative systems in architecture and in. computing mapping their occurrences and implementations. 2- Generative Systems for Design: highlights on integrating generative systems in architecture design processes; and discussions on six generative systems including: Algorithmic, Parametrics, L-systems, Cellular Automata, Fractals and Shape Grammars. 3- Provisional taxonomy: A summery table of systems properties and a classification of generative systems properties as discussed in the previous chapter 4- Conclusion: comments and explanations on why such systems are simplicity implemented within design.by Maher El-Khaldi.S.M