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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 10 (1993), S. 173-177 
    ISSN: 1432-2315
    Keywords: Computer art ; Cellular automata ; Blobs ; Fluids ; Lava
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Computer displays of colorful and undulating lava-like forms will decorate living rooms of the future. These forms can already be created using mathematical simulations and hardware-assisted, isosurface computer graphics. In particular, the simulations involve “twisted majority rules” computed using a 3-D cellular automation lattice described in this paper.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 9 (1993), S. 227-229 
    ISSN: 1432-2315
    Keywords: Computer art ; Solid models ; Curves ; Surfaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The goal of this article is to present an informal introduction and tutorial on the production of aesthetically pleasing solid models. The article is intended for the nonmathematical reader interested in computer art. Simple generating formulas and recipes are included.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 11 (1995), S. 309-312 
    ISSN: 1432-2315
    Keywords: Spirals ; Curlicues ; Fractals ; Thermodynamics ; Plane curves
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The thermodynamic properties of various plane curves are described. Computer graphics and computational recipes are included to encourage reader involvement.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 11 (1995), S. 309-312 
    ISSN: 1432-2315
    Keywords: Key words: Spirals ; Curlicues ; Fractals ; Thermodynamics ; Plane curves
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 6 (1990), S. 227-229 
    ISSN: 1432-2315
    Keywords: Key words ; Chaos ; Fractals ; Computer art
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract A simple technique is described for demonstrating artistically interesting behavior in chaotic systems defined by complex dynamics. In particular, the Mandelbrot set for the iterative process $$\zeta \to \zeta ^p + (1/u)^p $$ is explored.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 9 (1992), S. 166-169 
    ISSN: 1432-2315
    Keywords: Circle packing ; Growth ; Computer art ; Droplets
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper provides an introduction to simple techniques for visualizing a large class of intricate shapes generated by osculatory packing of cylinders and spheres.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 4 (1988), S. 142-147 
    ISSN: 1432-2315
    Keywords: Chaos ; Computer art ; Symmetry ; Dynamical systems ; Numerical analysis ; Experimental mathematics ; Iteration ; Computer graphics ; Fractals ; Newton's method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Chebyshev polynomials and Halley maps are used as a reservoir for the generation of several visually striking and intricate classes of symmetrical and chaotic patterns. Relatively simple numerical recipes are included to encourage reader involvement.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 4 (1988), S. 271-276 
    ISSN: 1432-2315
    Keywords: Chaos ; Computer art ; Symmetry ; Dynamical systems ; Bifurcation ; Experimental mathematics ; Herations ; Computer graphics ; Fractals ; Attractors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Chaos theory involves the study of how complicated behavior can arise in systems which are based on simple rules, and how minute changes in the input of a system can lead to large differences in the output. In this paper, bifurcation maps of the equationX t+1=λX t [1+X t ]−β are presented, and they reveal a visually striking and intricate class of patterns ranging from stable points, to a bifurcating hierarchy of stable cycles, to apparently random fluctuations.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 4 (1988), S. 243-246 
    ISSN: 1432-2315
    Keywords: Chaos ; Computer art ; Symmetry ; Dynamical systems ; Complex variables ; Experimental mathematics ; Iteration ; Computer graphics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This note presents graphically interesting behavior in chaotic systems defined by iterates of the transcendental function (z→cosh (z)+μ).
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 8 (1992), S. 233-240 
    ISSN: 1432-2315
    Keywords: Computer art ; Inversion ; Osculation transformation circle packing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The goal of this article is to present an informal introduction and tutorial on certain graphical aspects of inversion and osculation for the non-mathematician and to present artistic renditions using these methods.
    Type of Medium: Electronic Resource
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