III. Information Aesthetics 
        III.2 Computer Graphics
      
      
	  
	
      The early use of mainframe computers to generate texts 
        (see chap.III.1) provides us with one prehistory of computer graphics 
        (see chap. III.2.2). The other prehistory contains artistic uses of cathode 
        ray oscillographs being applied as control display in electrical engineering 
        and as output medium of analogue computers. 
	  
	  Laposky, Benjamin Francis: Oscillon 
        Number Four, 1950, photo of an oscillograph´s screen. 
      Since 1950 Benjamin Francis Laposky photographed the screen of his modified 
        oscillograph combined, among others, with a sinus wave generator. The 
        elimited amount of the oscillograph´s wave forms was expanded by 
        Laposky adding "other electrical and electronic circuits...to create 
        the almost infinite variety of forms." Laposky drew a connection 
        between his "electronic abstractions" 1 and 
        computer art: 
    The relationship of the oscillons to computer art is that the basic waveforms are analogue curves of the type used in analogue computer systems. 2 
	 
	  
	  Franke, Herbert W.: Oscillograms, 
        1956, photos of an oscillograph´s screen. 
        
	  Franke, Herbert W./Raimann, Franz: Analog devices to 
        be connected with an oscilloscope. Photographed in 8/13/2014 in Puppling 
        nearby Egling/Bavaria. Photo: Thomas Dreher. 
      In 1955/56 Herbert W. Franke produced 
        "pendulum oscillograms" ("Pendeloszillogramme") in 
        moving a Contaflex mirror reflex camera before the screen of an oscillograph 
        presenting curves. For the production of these curves Franz Raimann constructed 
        "an analogue calculation system" for Franke "...being capable 
        to mark out the elementary curves...It was possible to adjust different 
        kinds of overlay [of complicated curves] in real time on a mixing console." 
        3 With the mixing console modifications of the electron 
        beam´s motion along the horizontal and vertical axes were possible. 
        In oscillosgraphs a horizontal base line motion is usually deviated vertically. 
        Raimann´s analog calculation system offered possibilities to control 
        movements along the horizontal and vertical axis depending on the time 
        dimension.  
      Franke utilises a calculator constructed for his purposes similar to 
        Schöffer who integrated into "CYSP I" (1956, see chap. 
        II.3.1.2) a little computer built for him by Philips before the production 
        of minicomputers started in the sixties. As Schöffer installed a 
        small computer custom-made by Philips in "CYSP I" (1956, see 
        chap. II.3.1.2) before the minicomputers became available in the sixties, 
        so Franke used a small computer custom-made for his needs. This computer 
        was connected with an oscillograph "producing only thick drawn lines 
        on a screen with a diameter of only 5 centimeters. To be able to receive 
        viable images at all, I experimented with different procedures, but I 
        obtained the best results when I moved the camera with open aperture in 
        a darkened room... before the screen. To obtain a regular movement I mounted 
        the camera at a cord like a pendulum in my first trials but the I finally 
        gained the best results when I moved the camera in my hands continuously 
         so I trained myself and learned to coordinate the adequate movements. 
        The images show the overlaps of curves as a grid-like structure, often 
        with spatial visual effects." 4 The curves being 
        produced in real time on the oscillograph´s screen were documented 
        by Franke not simply as photographic reproductions, but he obtained structures 
        with visual depth effects in moving the camera with an open aperture. 
        The restrictions for the organization of forms caused by the "thick 
        drawin lines", as they were presented on his oscilloscope´s 
        screen, were transgressed by the artist in moving the camera at varying 
        distances from the screen: Closely following lines and superimpositions 
        became possible. 
	   
	  
	  Fuchshuber, Roland K.: Left: Rocker, 1960, plotter 
        drawing. 
        Right: Polstelle, 1960, plotter drawing. 
	  In 1960 Roland K. Fuchshuber became a member of the 
        founding commission of the Centre Européen de Traitement de l´Information 
        Scientifique (CETIS). At Euratom (European Atomic Energy Community) in 
        Brussels and Ispra (Italy) Fuchshuber started to produce graphics with 
        PACE analogue computers constructed by Electronic Associates Incorporated 
        (EAI). The "distortion factor of an amplifier" influenced the 
        course of parallel curved lines documented as plotter drawings. 5 
	  
	Alsleben, Kurd/Passow, Cord: Computergrafik 4, 1960, 
        plotter drawing (Alsleben: Redundanz 1962, p.52, ill.d). 
	  In 1960/61 the artist Kurd Alsleben and the pyhsicist 
        Cord Passow used an analogue computer (EAI 
        231 R) of the Deutsche Elektronen Synchotron (DESY) in Hamburg to 
        produce waves printed in horizontal rows above each other as well as overlapping. 
        Five computer graphics produced as plotter drawings document results of 
        computing processes. One of these prints presents four horizontal rows. 
        Each row is constituted by two overlapping wave lines. "Parameter 
        shifts" determining the course of the wave lines were produced by 
        potentiometers. 6 
      
      
	 
        III.2.2 Digital Computer Graphics 
       
	  An analogue computer offered patchboards and potentiometers 
        for manipulations of the computing processes in real time, in contrast 
        to the digital mainframe computers used by Béla Julesz, A. Michael 
        Noll (since 1962), Frieder Nake (since 1963) and Georg Nees (since 1964) 
        allowing only to control the results printed by plotters after the computing 
        processes worked out the instructions (that had to be installed via punchcards 
        or magnetic storage units). FORTRAN or ALGOL, the higher programming languages 
        for compilers, are used for the coding of instructions. Compilers translate 
        programming languages into machine language. Since a few years before 
        the artists mentioned above started to work with digital mainframe computers 
        the first compilers simplified the programming. 7 Before 
        the integration of compilers programming was only possible in machine 
        languages. 
	  In the sixties A. Michael Noll, 
        Georg Nees 
        and Frieder 
        Nake created pioneer works of computer graphics. Their procedures 
        are based on the early computer literature presented in chapter III.1, 
        especially on the works of Christopher Strachey (see chap. III.1.2) and 
        Theo Lutz (see chap. III.1.3): 
	  
	    - a. the selection of a few elements to be stored in a database,
 
	    - b. a syntax to combine the elements,
 
	    - c. a random generator,
 
	    - d. a determination of the frequency defining how often the 
          program can select the elements.
 
	   
	  If visual elements are used as basic elements instead of textual signs 
        then the artistic production is transformed to the creation of structures 
        that shouldn´t be neither too simple nor too complex for the visual 
        perception of the whole field as well as for the relations between single 
        elements, as information aesthetics articulated the goal of artistic creation 
        by defining the best relation between order and information for an aesthetic 
        experience. In computer graphics the following modifications of the procedures 
        developed in computer literature can be found: 
	  
	    - ad a. The word database is substituted by elements  mostly 
          lines  constructed by the computing processes executing the instructions 
          of the program (f.e. lines connecting points).
 
	    - ad b. The position and the length of basic elements vary with 
          the combinatory manner replacing the textual structure of left to right 
          relations (from word to word) and up-down differentiations (from line 
          to line) by an organisation of the whole plane. The structure of text 
          lines is substituted by a visual arrangement in zones within which the 
          program starts again.
 
	    - ad c. Because the random generator has its effects not only 
          in the selection of elements but in the modification of the combinatory 
          method from zone to zone, the spectrum of variations determines the 
          overall view.
 
	    - ad d. The limitation of the selection frequency 
          concerns not only the selection of elements but the combinatory method, 
          too, with consequences for the visual effect of the work in its totality, 
          not only for some sentences within an ensemble of sentences. The readability 
          of sentences and/or lines of a text is substituted by the relations 
          between the programmed structure of the plane and the optical effect 
          of the overall view. 8 
 
	   
	  Before early examples of digital computer graphics fulfilling the criteria 
        mentioned above will be explained a short ouline of the goals of information 
        aesthetics is presented because they influenced especially Georg Nees 
        and Frieder Nake. 
	  A 
        core subject of information aesthetics are the relations between the structure 
        of a program and the visual perception of its presentation. Max Bense 
        and Abraham Moles define the "aesthetic measure" by exploring 
        the best possible relation between the "complexity" of the visual 
        "information" and the "orderliness" ("redundancy") 
        that can be recognized in the process of perceiving the work: Bense determines 
        the aesthetic measure in using George David Birkhoff´s definition 
        as `order divided by complexity´ ("Birkhoff´s quotient"). 
        9 In contrary Moles refers to empirical investigations 
        in his argument for the `multiplication order by complexity´. 10 
	   Shannon´s "statistic information" provides the basis 
        for this numerical definition of the "aesthetic measure". 11 
        It presupposes precise knowledge of the number of used elements ("sign 
        repertoire") and the possibilities to combine them. 12 
        That´s why concrete-serial and programmed art offer model cases 
        for information aesthetics. 
	  Following 
        Bense in art improbable orders are realised by the "elimination of 
        the avoidable" and the "reduction of redundancy". 13 
        Meanwhile Bense discusses characteristics of art works, Moles thematises 
        their perception. In Moles´ reflections the receiver´s "limit 
        of apperception" and its dependency on the observer´s previous 
        knowledge are dominant subjects. If the visual complexity is above the 
        "limit of apperception" then there is no order recognizable. 
        That´s why this limit should not be transgressed. 14 
        Thus, a certain amount of redundancy is inevitable. Contrary to John Cage´s 
        non-normative aesthetics of simultaneous chance operations 15 
        the information theory explicates an objectifiable aesthetic goal: For 
        aesthetic factors it defines the best relation between information and 
        redundancy. 
	   
	  
 Götz, Karl Otto: Statistic-metric Trial 4:2:2:1, 
        concept Summer 1959, realisation with pencil and felt pen on cardboard 
        1960. Photo: Kukulies. Collection 
        Etzold. Städtisches Museum Abteiberg. Mönchengladbach (Kersting: 
        Sammlung Etzold 1986, p.206). 
	
	  In the fifties Karl Otto Götz became known as an informal painter 
        and as a member of the artists´ group Quadriga. From 1959 to 1961 
        Goetz experimented in "statistic-metric modulations" with grids 
        filled with black and white rectangles. These "modulations" 
        were still carried out manually. 
	 
	  
 Karl Otto Götz before Density 10:3:2:1, 1961, 
        felt pen and tusche on Bristol cardboards, mounted on canvas (Götz: 
        Erinnerungen 1983, p.900, ill.1016).  
	  In "Density 10:3:2:1" (1961) Götz divides the "image 
        area (200 x 260 cm)" in "16 super zones" and subdivides 
        them in "16 big zones" of equal size. He determines the frequency 
        of the black rectangles (in relation to the "2 brightness degrees" 
        black and white) in the four "density degrees" indicated by 
        the title. The basic unit is a grid with four by four rectangles (16 big 
        zones", each with 16 "little zones"). One of these 16 rectangles 
        is white (density degree "very bright") and 10 rectangles are 
        black (density degree "dark"). In relation to the density degrees 
        between black and white rectangles are 2 rectangles brighter ("lower 
        density") and 3 rectangles darker ("middle density"). The 
        title "Density 10:3:2:1" designates 10 times the density degree 
        "dark", 3 times "middle density", two times "lower 
        density" and one times the density degree "very bright". 
	   
	  
 Götz, Karl Otto: Density 10:3:2:1, sketch, 1961, 
        division of the image´s surface in super zones with four density 
        degrees (Götz: Malerei 1961, p.14). 
	  Götz visualises the realisation of the four density degrees with 
        a grid of 2 by 3 squares: From these six squares with increasing density 
        no field ("very bright"), one field ("low density"), 
        three ("middle density") and five fields ("dark") 
        are filled with black colour. The brighter or darker appearances of the 
        grids are a result of a number of black or white elements being distributed 
        randomly: "statistic relations between quantities". 
	   
	  
 Götz, Karl Otto: Density 10:3:2:1, sketch, 1961, 
        little zones with four denstiy degrees: D = dark, M = middle density, 
        H = low density, sH = very bright (Götz: Malerei 1961, p.23). 
	  The 16 x 16 (=256) big zones distributed on 16 super zones constitute 
        a plane provoking the eye to slide between the zones with different amounts 
        of black and white elements, and to look for visual cues at prominent, 
        particularly dense black or white fields. The partition in "big zones" 
        is recognizable at horizontal and vertical break lines between zones with 
        dominant black squares on one side and dominant white squares on the other 
        side.  
	  Students work out at home their area on "pre-rasterised drawing 
        cardboards" with felt pen and tusche. Then the grid image was "put 
        together by mounting the cardboards" prepared in labor division "on 
        canvas". The realised "ca. 400.000 image points (elements)" 
        constitute a "model image" that could be realised as an "electronic 
        television image". The two "brightness degrees" of Götz´s 
        "model images" could be substituted by the "ca. 40 brightness 
        degrees" of the television image with "450.000 image points". 
	  In 1960 Götz tried to persuade Siemens to realise his "grid 
        images" but failed. In 1962 the film "Density 10:2:2:1" 
        (8 mm) was produced by combining photographed permutations of parts of 
        the "grid image" as shots. Intertitles indicate which grid elements 
         "basic units in little zones", "little zones", 
        "big zones"  have been replaced from shot to shot. Götz 
        photographed these permutations. The photographs constitute the shots 
        of the film. The sequences of shots presenting the raster permutations 
        are brought into motion by the projection of the film and provoke the 
        impression of a flickering image. The permutations proceed from the smallest 
        "units" to the "big zones", and the changes become 
        recognisable in the course of seeing longer phases of the nearly three 
        minutes lasting film. 
	    
	  Götz, Karl Otto: Density 
        10:2:2:1, 1962, film (8 mm) in Vimeo, Screenshot 
	  (Claus: Zeitalter 2008).  
	  Götz calculated the "information content" 
        ("Informationsgehalt") of his images. Concerning the observers´ 
        problems to recognize order in the connections between the rectangles 
        of the "statistic-metric modulation" it is no surprise that 
        a high "total information content" ("Gesamtinformationsgehalt") 
        and few "redundancy" have been the result of his calculations. 
        Götz pursued "information theoretical observation" and 
        investigations of "gestalt psychological values" as separate 
        fields of study. 16 
	  Götz anticipates algorithms of digital computer graphics in a still 
        manual realisation: The reduction of the realisation process to a few 
        elements, the combination rules and the selection possibilities limited 
        by rules based on criteria of frequency are aspects of information aesthetics 
        that recur in later computer graphics.  
	  In 1956 the electronics engineer Béla Julesz 
        obtained a doctorate from the Hungarian Academy of Sciences. After the 
        army of Soviet Union invaded Hungary, Julesz emigrated to the U.S.A. Several 
        weeks after his arrival the Bell Laboratories in Murray Hill/New Jersey 
        affiliated Julesz to their technical research team. 17 
	   
	  
 Julesz, Béla: Stereopsis, 1959, plotter drawing. 
	  In 1960 Julesz 
        published his investigations of the "Binocular Depth Perception of 
        Computer-Generated Patterns" in "The Bell System Technical Journal". 
        This issue of the "Technical Journal" contained glasses to observe 
        the random dot stereograms illustrating Julesz´s contribution: These 
        glasses anticipate LCD shutter glasses. 18 Pro stereogram 
        a mainframe computer IBM 
        704 (1954-60) calculated images with 10.000 points. A pseudo-random 
        generator distributed 16 brightness degrees. 19 The 
        rectangles, printed and published beside each other, had the same random 
        distribution of points except specific divergences in their middle zones: 
        Within each of the rectangles an identical square field was displaced 
        to the left and to the right ("parallax shift"). The deviations 
        concern a displaced square zone and its environments. 20 
        This "parallax shift" provoked in the binocular perception with 
        glasses a three-dimensional effect, nevertheless no features of the images 
        suggest a resolution by visual patterns for three-dimensional objects. 
	   
	  
 Julesz, Béla: Depth perception by monocular 
        and binocular pattern recognition, 1960 (Julesz: Depth Perception 1960, 
        p.1128, fig.3). 
	  Julesz 
        identifies a genuine "binocular pattern recognition" without 
        presupposing a "monocultural pattern recognition": The binocular 
        pattern recognition follows its own rules. 21 Depth 
        perception can arise not only on the basis of "binocular pattern 
        recognition" but as a "combination of binocular and monocular 
        pattern recognition", too: "Monocular macropattern recognition" 
        intensifies the depth effect. 22 Julesz´ investigations 
        of the "cyclopic perception" demonstrate that the depth perception 
        combines visual patterns recognizable with one eye and binocular visual 
        patterns. Julesz´s investigations had consequences for the perceptual 
        psychology, the cognition research and the development of autostereograms 
        with only one image. 23 In 1965 Julesz´s perceptual 
        experiments were exhibited together with A. Michael Noll´s computer 
        graphics in the Howard Wise Gallery in New York. 24 
       
	  In 1961 A. Michael Noll completed his studies at 
        the Newark College of Engineering with the B.S.E.E. (Bachelor of Science 
        in Electrical Engineering). From 1961 to 1971 he worked in a department 
        for telephone transmissions at the Bell Laboratories (Murray Hill/New 
        Jersey). 25 
	  In Summer 1962 Noll programmed 
        "Patterns" in FORTRAN and produced them with an IBM 
        7090 (since 1959) of the Bell Labs. Noll didn´t want that they 
        may be understood as "`true art´". 26 
        A Stromberg Carlson 4020 Microfilm-Plotter presented the results of the 
        computing processes on a cathode ray tube as configurations of electrons. 
        The computing processes lead to the production of images on the screen 
        via a "Decoder and Command Generator". Noll´s FORTRAN 
        code included instructions for the microfilm plotter to start further 
        "subroutines". The resulting image on the screen was photographed 
        and the 35mm negative was "multiplied by photo printing in different 
        sizes." 27 
	  The computer was instructed to produce lines as connections between points 
        located by a "White Noise Generator". A combination of lines 
        in different length constituted a jagged line. 
	   
	    
	  Noll, A. Michael: Left: Pattern Three, 1962, photo 
        print. 
        Right: Pattern Four, 1962, photo print (Noll: Patterns 1962, unpaginated). 
	  Noll programmed the point clouds on the jagged lines 
        in "Pattern One", "Two" and "Three" around 
        a central point. In "Pattern Four" and "Pattern Five" 
        points with values calculated by random procedures for x- and y-axes served 
        for the localisation of lines: These points are "alternately repeated 
        to make the lines horizontal und vertical." The line connecting all 
        points changes its direction exclusively at right angles. In "Pattern 
        Four" are both ends of the line recognizable within fields marked 
        by this line. 28 
	  In "Gaussian Quadratic" (1962/63) Noll distributes 100 points 
        on the horizontal and vertical axis following different criteria: The 
        localisation in the horizontal axis follows the Normal- 
        or Gaussian distribution, meanwhile the vertical localisation is calculated 
        based on an equation: 
	  
	   The vertical position increase quadratically, i.e., the first point has a vertical position from the bottom of the picture given by 12 + 5x1, the second point 22 + 5x2, the third point 32 + 5x3, etc. 29 
	  
	  To avoid points located outside the determined size of the work´s 
        area the distribution on the vertical axe at the top edge of the frame 
        was mirrored at the bottom. The Gaussian distribution on the horizontal 
        axis follows the standard normal distribution. The connections of the 
        points constitute 99 lines crossing each other several times in a vertical 
        midfield. These lines form a jagged line with accidental direction changes 
        and some remarkable deflections on the horizontal axis. The jagged line 
        appears as a vertical formation that balances on the lowest horizontal 
        line serving as a base. 
	   
	  
 Noll, A. Michael: Gaussian Quadratic, 1962/63, photo 
        print. 
	  In "Gaussian Quadratic" Noll follows the 
        strategy of a line´s accidental direction changes that he used in 
        many other of his "Patterns", too. He expands the algorithmic 
        criteria in "Gaussian Quadratic" in a way that the relations 
        between order and chance in its configuration of lines provoke a perception 
        searching for the "aesthetic measure" more than the "Patterns". 
        30 
	  The "patterns" 
        realised by Noll in 1962 are designated by Frieder Nake as "polygon 
        moves" ("Polygonzüge"). 31 In December 
        1964 "polygon moves" programmed by Georg Nees were published 
        in issue 3/4 of the "Grundlagenstudien aus Kybernetik und Geisteswissenschaft" 
        ("Basic Studies in Cybernetics and Humanities"). 32 
        The instructions written in ALGOL ran on a mainframe computer Siemens 
        2002 (1959-66). A Zuse 
        Z64 Graphomat printed the results. 
	   
	  
 Nees, Georg: 23-Ecke, 1964, plotter drawing 
        (Nees: Grundlagenstudien 1964, p.124, ill. 2). 
	   The polygon moves occur several times next to each other and one below 
        the other. The algorithm starts anew in fields respectively "matrices" 
        33 and determines via random generator the distribution 
        of consecutive lines. The number of lines is defined by the program. 
	   
	  
 Nees, Georg: Untitled (Micro Innovation), 1967, plotter 
        drawing (Nees: Computergraphik 2006, p.222, ill. 31). 
	  In a series of computer graphics 
        realised between 1965 and 1968 Nees defines how far the "polygon 
        moves" can transgress the fields within which the program restarts 
        the configuration of lines. 34 Because the distances 
        between the "matrices" are short the transgressing polygon moves 
        interpenetrate each other. At a quick glance they appear as a complex 
        snarl of lines. 35 The structure of a snarl with lines 
        crossing each other tilted and rectangular can be recognised only by a 
        closer examination at a short distance, in a reconstruction of the relations 
        between the line configurations. In a total view zones of denser superimpositions 
        and dominating directions of lines across several zones attract the attention. 
       
	  In Nees´ works the observation 
        of relations oscillates from work to work in different manners between 
        a complexity by plurality (via the division in "matrices" and 
        the superimpositions of line configurations) and a simplicity provoked 
        by the structuring process of the perception for the whole field. 36 
        The graphics of Georg Nees can be seen as models for an investigation 
        of the problem how "order and complexity" 37 
        can be mediated to obtain a better "aesthetic measure". 
	  Looking for 
        similarities and repetitions to simplify the formation of visual schemata 
         in terms of information theory: to enable the recognition of order 
        via redundancy (as a return of the same)  observers refocus a print´s 
        surface several times. Nees calls this process a "gradation of the 
        type heap-variation-gestalt" ("Gradation vom Typus HaufenVariationGestalt"). 
        38 The "micro-aesthetics" of the produced 
        object  determined by the "creation of texture by overlapping" 
        39  and the "macro-aesthetics"  
        as a cognitive restructuring by the use of schemata in the process of 
        seeing  constitute inter-related levels: "Gestalts are aesthetic 
        information units with a local and distal nexus." ("Gestalten 
        sind ästhetische Informationseinheiten mit Lokal- und Distalnexus.") 
        40 
	    
	  Nake, Frieder: Random Polygon Move, 1963, plotter drawing, 
        10 x 10 cm (Nake: Ästhetik 1974, p.19, ill.5.2-7)/1964, plotter drawing, 
        15,5 x 11,5 cm (Herzogenrath/Nierhoff-Wielk: Machina 2007, p.424, nr.259). 
	  Since 1963/64 Frieder Nake developed the translation 
        program Compart ER 56 in the machine language to control via the mainframe 
        computer Standard Electric Lorenz (SEL) ER 65 (since 1959) the drawing 
        board Zuse 
        Z64 Graphomat bought by the Computer Centre Stuttgart shortly before. 
        In 1963 Nake used his program to create "random polygon moves" 
        with lines connecting points located by a "pseudo random generator". 
        Nake realised his works after Noll´s "polygon moves" and 
        evidently before Nees´ works with such combinations of lines. 41 
	    
	  Nake, Frieder: Walk-Through-Rasters, 1966, six modes 
        (Nake: Ästhetik 1974, p.229, ill. 5.5-1). 
	  In 1966 Nake developed the program "walk-through-raster" in 
        "ALGOL60 (with some assembler-sub-programs)". A punch tape contained 
        the instructions for a Telefunken 
        TR4 (since 1962) of the Stuttgart University. The results were printed 
        by a Zuse Z64 Graphomat. 
	    
	  Nake, Frieder: Walk-Through-Raster, 1966, diagram of 
        the tree structure 
        (Nake: Ästhetik 1974, p.235, ill. 5.5-4). 
  
	  The 
        program selected signs from a repertoire depending on "the last chosen 
        sign". As explained by Nake, the program simulated a "short 
        memory". 42 The program exchanged the signs at 
        specified positions. The exchange is determined by programmed "transition 
        probabilities" ("Übergangswahrscheinlichkeiten"). 
        43 The program stepped in one of "six modes" 
        44 through a field divided in rectangles and decided 
        where which kind of transition will be computed. The decision procedures 
        can be illustrated as tree structures unfolding themselves in the horizontal 
        axis as well as in the "depth". 45  
	    
	  Nake, Frieder: Walk-Through-Raster, series 2.1, four 
        realisations, 1966, plotter drawings (Nake: Ästhetik 1974, p.236, 
        ill. 5.5-5). 
	  The sign 
        repertoire of the series "2.1" is constituted by vertical and 
        horizontal lines as well as by a blank field. For the "6 modes" 
        of the directions in which the computing process runs step by step across 
        the plane six variants with "defined repertoire and defined probabilities" 
        were created. 46 For the series "7.3" squares 
        marked by lines in different colours were selected. The squares were "remarkably 
        larger than the fields of the grid". The squares´ overlaps 
        constitute configurations described by Nake as a "destruction of 
        the basic repertoire" ("Zerstörung des Elementarrepertoires"). 
        47 Nake refered in his description to Nee´s explanation 
        of the "destruction of the matrices´ arrangement" ("Zerstörung 
        der Matrizenanordnung"). 48 
	    
	  Nake, Frieder: Walk-Through-Raster, series 7.1, 1966, 
        plotter drawing in four colours (Nake: Ästhetik 1974, p.237, ill. 
        5.5-6). 
	  The "walk-through-raster" 
        program was able to execute "a series of measurements following criteria 
        of information aesthetics" like "redundancy and information 
        values as well as distinguishing features and the surprise measure of 
        each sign" ("Redundanz und Informationsgehalt sowie Auffälligkeit 
        und Überraschungsmaß jedes Zeichens"). 49 
        To be able to integrate the measurements as a "selector" ("Selektor") 
        of the generated signs into the computing process, Nake installed in his 
        program "Generative Aesthetics I" a "preselector" 
        ("Vorselektor") with statistic measures for the frequency of 
        colours. The "statistic preselector" could not differentiate 
        between pictures with the same frequency of colours. 50 
        The "topological selector´s" ("topologischer Selektor") 
        programming of the colour distribution on the plane used a frequencies´ 
        measure, and it was based on the raster principle:  
	  A probability distribution p=(p1,..., 
        pr) for r colours has to be determined for each image. These 
        colours should be distributed on the plane of the image. For the realisation 
        of this goal the plane will be divided in 4 equal rectangles and the whole 
        "mass" of each colour will be distributed on these 4 rectangles. 
        The process will be repeated for each of the rectangles etc., until a 
        lowest level that can´t obviously be deeper than the level of the 
        raster fields, but usually the goal will be realised earlier. 51 
	  The "generator" combines the statistical 
        and topological preselection in procedures following each other comparable 
        to Marcow chains. 
        The output of a line printer presents the notations. The notation´s 
        signs contain the information, how little rectangular leaflets in four 
        colours should be distributed on the plane. In 1969 two examples were 
        realised on hardboards. 52 
	    
	  Nake, Frieder: Generative Aesthetics I, 1969. Left: 
        Experiment 6.22, coloured leaflets on hardboard. Right: print of a result 
        of the programmed computing process, Experiment 4.5a (Nake: Vergnügen 
        2004, unpaginated). 
	  In "Generative 
        Aesthetics I" Nake realised an integration of frequency criteria 
        into the computing processes going further than earlier computer graphics. 
        In the book "Ästhetik der Informationsverarbeitung" ("Aesthetics 
        of Information Processing") Nake explains how to investigate relations 
        between the preselection and a selection following information theoretical 
        criteria of the "aesthetic measure": 
Comparable to a physicist´s 
        method to formulate propositions on nature by controlled models in the 
        laboratory, an aesthetician is imaginable preparing and examining statements 
        on `art´ via controlled models in a laboratory (that still has to 
        be constructed). 53  
      In reply to Bense´s "Generative Aesthetics" 54 
        investigating the properties of realised works, Nake plans to offer 
        a programming making an "aesthetic description before the [experience 
        of a realised work as an] aesthetic reality is possible." 55 
	  Information aesthetics inspired the development of 
        strategies to develop procedures of programming as a precondition for 
        the production of art. The problem of the "aesthetic measure" 
        has not lost its actuality: It reappears in the recourse of contemporary 
        Generative Art on cybernetic relations between chaos and order, as in 
        2003 Philip Galanter explained it in his lecture "What is Generative 
        Art? Complexity Theory as a Context for Art Theory". 56 
 
  
	  Annotations 
      1  Laposky: Oscillons 1953, p.2. back 
	  2  Laposky: Oscillons 1976. back 
	  3  Franke/Nierhoff-Wielk: Ästhetik 2007, p.110 (quote); 
        Herzogenrath/Nierhoff-Wielk: Machina 2007, p.336,338, Nr.68s.; Piehler: 
        Anfänge 2002, p.149-152, unpaginated with ill.29s . back 
	  4  Herbert W. Franke, e-Mail, 8/17/2015. There Franke 
        wrote about "the standard setting of an oscillograph": "With 
        this setting the electron beam moves back and forth on a base line...the 
        beam goes slowly (traceable with the eyes) from the left to the right 
        side and it jumps then back to the left side again. A horizontal line 
        at the bottom would arise. But the line is distorted by impulses of the 
        measuring process pointing to the y-[vertical] axis: The result is an 
        'image' of the alternating current´s course. If one modifies experimentally 
        the settings, then this will cause 'arbitrary' other images...I needed 
        the analog computer to produce curves z(x,y). The value z stands for the 
        luminance of the image on the screen. x and y are the coordinates [of 
        the horizontal and vertical axes] of an image point leaving behind traces 
        of light on the screen. The curve is produced as follows: The analog computer 
        processes two functions f1x(t) and f2y(t) depending on the time t physically 
        as two independent oscillations (by determining the forms with its frequencies 
        and being tunable as well as modifiable in real time)." back 
	  5  Herzogenrath/Nierhoff-Wielk: Machina 2007, p.150,232,362s., 
        nr.150s.; Nierhoff-Wielk: Machina 2007, p.28s. back 
	  6  Untitled, 1960, plotter drawing. In: Alsleben: Redundanz 
        1962, p.52. with ill. d; Piehler: Anfänge 2000, p.204s., unpaginated 
        with ill.33; Rosen: Story 2008/2011, p.248. 
        On plotter drawings by Alsleben and Passow: Alsleben: Redundanz 1962, 
        p.51s.; Alsleben/Eske/Idensen: Aestheticus 2011, p.149ss.; Herzogenrath/Nierhoff-Wielk: 
        Machina 2007, p.65,234,297s.; Nierhoff-Wielk: Machina 2007. p.27s.; Piehler: 
        Anfänge 2000, p.203ss., unpaginated with ill. 33s.; Reichhardt: Serendipity 
        1968, p.94; Weiß: Netzkunst 2009, p.326ss. back 
	  7 IBM delivered the first FORTRAN compiler since April 
        1957 (Without author: User Notes 1996-98). The Electrologica X1 compiler 
        (August 1960) by Edsger Wybe Dijkstra and Jaap A. Zonneveld is deemed 
        to be the first compiler for ALGOL60 (Daylight: Dijkstra 2010). 
        On plotters: Piehler: Anfänge 2000, p.177-180. back 
	  8  In Gerhard Stickel´s "Autopoems" from 
        1965 the syntactical structures are selected by a random generator, too 
        (see chap. III.1.3), but the frequency of the access to each one of the 
        structures is not limited  contrary to Lutz´s "stochastic 
        texts". back 
	  9  Bense: Aesthetica 1982, p.33s.,322s.,328s.,354f.; 
        Bense: Einführung 1965/1968, p.30-35; Bense: Einführung 1969, 
        p.43ss.,55s.; Bense: Informationstheorie 1963/2000, p.136; Birkhoff: Measure 
        1933. back 
	  10  Moles: Information 1965/1968, p.23; Moles: Art 1971, 
        p.24ss. back 	  
	  11  Bense: Aesthetica 1982, p.212,325; Bense: Einführung 
        1965/1968, p.34; Shannon: Communication 1949, p.16. back 
	  12  On the "aesthetic measure" discussed by 
        Birkhoff, Bense, Moles et al.: Nake: Ästhetik 1974, p.75ss,82ss. 
        back 
	  13  Bense: Aesthetica 1982, p.147,211,214s.,217,223,225 
        (citation). back 
	  14  Moles: Théorie 1971, p.170,180. back 
	  15  Cage defines his random procedures as not determined 
        (Schulze: Spiel 2000, p.161-179), meanwhile the information aesthetics 
        start out from stochastics (see chap. II.1.2): The probability to select 
        an element via random procedure is already determined by the selection 
        of the elements and their possible combinations. Florian Cramer demonstrates 
        that Cage´s methods for chance operations don´t eliminate 
        determinations (Cramer: Statements 2011, p.199-202). back 
	  16  Götz: Malerei 1961, p.14 with fig.1, p.23 (citations). 
        Cf. Götz: Erinnerungen 1983, p.899s.,902; Klütsch: Computergrafik 
        2007, p.148; Mehring: Television Art 2008, p.36. 
        Further examples of "Statistic-Metric Modulations" in: Beckstette: 
        Bildstörung 2009; Götz: Erinnerungen 1983, p.869-905; Kersting: 
        Sammlung Etzold 1986, p.206 (with four examples being planned in summer 
        1959 and realised in February 1960). 
        Precursors of an aleatoric configuration of squares: Kelly, Ellsworth: 
        Spectrum Colors Arranged by Chance I-VIII, 1951, collages made with coloured 
        papers. In: Bois/Cowart/Pacquement: Kelly 1992, p.42ss.,168ss.,192. Morellet, 
        François: Repartitions aléatoires, since 1958, oil or acryl 
        on canvas. In: Holeczek/Mengden: Zufall 1992, p.23,46s.,278-281. back 
	  17  Julesz: Dialoge 1997, p.137. back 
	  18  Kovács: Julesz 2007. back 
	  19  Julesz: Depth Perception 1960, p.1127,1134. back 
	  20  Julesz: Depth Perception 1960, p.1134s.; Noll: Beginnings 
        1994, p.39. back 
	  21  Julesz: Depth Perception 1960, p.1128 with fig.2, 
        p.1154,1159. back 
	  22  Julesz: Depth Perception 1960, p.1128 with fig.3, 
        p.1156,1159. back 
	  23  Julesz: Foundations 1971; Kovács: Julesz 
        1997; Weibel: Konturen 1997, p.40f. 
        In 1979 Christopher W. Tyler developed "Autostereograms". The 
        visual depth effect of the "Random Dot Stereograms" anticipates 
        the depth effect that "Autostereograms" provoke by a single 
        image (Tyler/Clarke: Autostereogram 1990). back 
	  24  Julesz: Dialoge 1997, p.138. back  
	  25  Noll: Beginnings 1994, p.39. back 
	  26  Noll: Patterns 1962, p.4. back 
	  27  Herzogenrath/Nierhoff-Wielk: Machina 2007, p.445 
        (citation); Klütsch: Computergrafik 2007, p.166s.; Noll: Human 1966, 
        p.2. back 
	  28  Noll: Patterns 1962, p.2s. back 
	  29  Noll: Computers 1967, p.67. back 
	  30  Davis: Art 1973, p.99; Herzogenrath/Nierhoff-Wielk: 
        Machina 2007, p.444ss., nr.356; Klütsch: Computergrafik 2007, p.167ss.; 
        Noll: Computers 1967, p.67; Piehler: Anfänge 2000, p.235f., unpaginated 
        with ill.46; Reichardt: Serendipity 1968, p.74; Rosen: Story 2008/2011, 
        p.249. 
        Noll was not inspired by information aesthetics (Klütsch: Computergrafk 
        2007, p.165s.). Nevertheless his works offer models for discussions of 
        the "aesthetic measure". back 
	  31  Nake: Ästhetik 1974, p.199. back 
	  32  Nees: Variationen 1964. Cf. Nees: Computergraphik 
        1969/2006, p.XIs., ill.4; Nees: Künstliche Kunst 2005, unpaginated 
        with ill1s. back 
	  33  Nees: Computergraphik 1969/2006, p.208. back 
	  34  Nees: Computergraphik 1969/2006, p.208. back 
	  35  Herzogenrath/Nierhoff-Wielk: Machina 2007, p.434s., 
        nr. 309s.; 314, 317ss.; Nees: Computergrafik 2006, p.216ss. und 222ss. 
        with ill.28-33, p.231 with ill.36, p.244 and p.247f. with ill.39-41. back 
	  36  Nees: Computergraphik 1969/2006, p.27: "The 
        perception dependency of the image nexus..." ("Die Perzeptionsabhängigkeit 
        des Bildnexus..."). back 
	  37  Nees: Computergraphik 1969/2006, p.29. Nees presents 
        on page 24 a longer citation of Max Bense´s differentiation between 
        "micro-aesthetics" ("orders [in the sense of orderliness] 
        and complexity") and "macro-aesthetics" ("redundancy 
        and information"), published in 1965 in part V of "Aesthetica" 
        (New in: Bense: Aesthetica 1982, p.334. Cf. Klütsch: Computergrafik 
        2007, p.67-71). back 
	  38  Nees: Computergraphik 1969/2006, p.209. back 
	  39  Nees: Computergraphik 1969/2006, p.220. back 
	  40  Nees: Computergraphik 1969/2006, p.213. Cf. p.177 
        with a further citation from Bense´s "Aesthetica" (part 
        V of 1956. New in: Bense: Aesthetica 1982, p.142) on criteria to differentiate 
        between "micro-" and "macro-aesthetics" (see ann.37). 
        back 
	  41 Nake, Frieder: Random Polygon Move, plotter drawing, 
        1963/64: Herzogenrath/Nierhoff-Wielk: Machina 2007, p.424, nr.259 (collection 
        Herbert W. Franke); Klütsch: Computergrafik 2007, p.131-139; Nake: 
        Ästhetik 1974, p.199s. with ill. 5.2-7. Nake presents an illustration 
        of the same "Random Polygon Move" that is a part of the collection 
        Franke (Kunsthalle Bremen), but with the date 1963 and the size 10 x 10 
        cm. Franke´s plotter drawing is combined with a history of its making: 
        It was realised in "6/7/64" with the program COMPART ER 56 and 
        the Zuse Graphomat Z64 (with the size 15,5 x 11,5 cm on a paper with the 
        size 21,1 x 15,1 cm). The program COMPART ER 56 was developed since 1964, 
        as it is noted by Nake: Ästhetik 1974, p.192 and Klütsch: Computergrafik 
        2007, p.132, but following Herzogenrath/Nierhoff-Wielk: Machina 2007, 
        p.236 it was developed since 1963. 
        Other early computer graphics: Electronic Associates Incorporated (EAI): 
        Stained Glass Window, 1963 (Herzogenrath/Nierhoff-Wielk: Machina 2007, 
        p.63,238 with ill.13, p.332, nr.66); Bäumer, Wolfgang: Untitled, 
        1963/64 (Herzogenrath/Nierhoff-Wielk: Machina 2007, p.94,309, nr.9s.); 
        Kawano, Hiroshi: Design 2-1 Markov Chain Pattern, 1964 (Rosen: Kawano 
        2011); Sumner, Lloyd: Eye´s Delight, 1964 (Dika: Computerkunst 2007, 
        p.75ss., ill.32). back 
	  42  Nake: Ästhetik 1974, p.229. back 
	  43  Nake: Ästhetik 1974, p.232. back 
	  44  Nake: Ästhetik 1974, p.229. back 
	  45  Nake: Ästhetik 1974, p.235. back 
	  46  Herzogenrath/Nierhoff-Wielk: Machina 2007, p.426, 
        nr.267; Klütsch: Computergrafik 2007, p.152ss.; Nake: Ästhetik 
        1974, p.236s. with ill.5.5-5; Rödiger: Algorithmik 2003, p.98,134,141,164. 
        back 
	  47  Herzogenrath/Nierhoff-Wielk: Machina 2007, p.426f., 
        nr.268,271,273; Nake: Ästhetik 1974, p.237s. with ill. 5.5-6. back 
	  48  Nake: Ästhetik 1974, p.241; Nees: Computergrafik 
        1969/2006, p.208s. back 
	  49  Nake: Ästhetik 1974, p.236,262. back 
	  50  Nake: Ästhetik 1974, p.263. In 1970 Nake presented 
        "Generative Aesthetics I" for the first time at the symposium 
        "Computer Graphics 70" in Uxbridge (Nake: Generative Aesthetics 
        1970). back 
	  51  Nake: Ästhetik 1974, p.264-271. back 
	  52  Nake: Ästhetik 1974, p.273-276 with ill.5.8-7, 5.8-8 
        (with examples of 1969 for notations and realisations with coloured little 
        sheets). The preselectors "have been implemented in PL/I at the university 
        of Toronto in 1969 on an IBM 
        360-65 since November 1965] " (ibid., S.273). Nake: Brief 1973, 
        p.225: "Only two examples were realised by hand, because I wanted 
        to produce works in seizes greater than the seizes that were realisable 
        with plotter drawings." Cf. Klütsch: Computergrafik 2007, p.155-158 
        with ill.33ss. back 
	  53  Nake: Ästhetik 1974, p.277. back 
	  54  Bense: Aesthetica 1982, p.333-338. back 
	  55  Nake: Ästhetik 1974, p.277. back 
	  56  Galanter: Generative Art 2003 refering to Moles: 
        Théorie 1958. back 
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