Gérard A. Langlet
Abstract
It was previously shown [1] that APL contained the most powerful idiom ≠\ that could be used, directly in the language all computers know: binary algebra, to build models as well for physics as for biology and computer science. Several papers on the subject were published or submitted inside the "APL world" as well as outside (Bibliography in [2]). The purpose of the present paper is to show how a classical model, built to generate fractal shapes in plane geometry (2-D) can be revisited and considerably extended, thanks to the properties of ≠\ and of array-oriented binary algebra.
- 1 G.A. Langlet, Unitary Theory of Information, APL-CAM Journal, Belgium, Vol 13, No 2, p. 399,432 (Part I) & No 3, p. 709-743 (Part II) (1991).Google Scholar
- 2 G.A. Langlet, Towards the Ultimate APL-TOE, APL92, St Petersburg; APL Quote Quad, ACM, SIGAPL, USA, Vol. 23, No 1, p. 118-134 (July 1992) and references therein. Google ScholarDigital Library
- 3 G.A. Langlet, L'Int~gration Binaire, C16 de l'Irr~versibilit~ du Temps, 13th Int. Congress on Cybernetics, Namur, Belgium, (Aug. 1992).Google Scholar
- 4 G.A. Langlet, Physique et Alg~bre de Boole, Les Nouvelles d'APL, AFAPL, Paris, No 3, (April 1992).Google Scholar
- 5 G.A. Langlet, Un Concours Paritonesque, APL-CAM Journal, Belgium, Vol. 14, No 3, p. 412-416 (July 1992).Google Scholar
- 6 G.A. Langlet, La Propagation Asym6trique de la Parit~ Biomath, ISSN 0035.10.24, vol. 115, p. 5-42 (1992).Google Scholar
- 7 G.A. Langlet, L'lnt~gration Binaire par l'Image, APL-CAM Journal, Vol. 14, No 3. p. 389-406 (July 1992).Google Scholar
- 8 H.A. Peele, Gray Codes in APL, APL Quote.Quad, Vol. 7, No 3 (1976, revised, priv. comm.). Google ScholarDigital Library
- 9 ISO8495e/f, Int. APL Standard, ISO, CH-Gen~ve (1989).Google Scholar
- 10 G.A. Langlet, Le Principe de Moindre Action G~n6ralisie, UITF 1992 Rennes, ISI3N 2-9009947-00-9 p. 77,96 (Dec. 1992).Google Scholar
- 11 G.A. Langlet, Variations sur Sierpinski Pascal & Fibonacci, APL-CAM Journal, Vol 13, No 2, p. 375-389 (1991).Google Scholar
- 12 G.A. Langlet, The Fractal Laws of Genetics, Biomath, ISSN 0035.10.24, vol. 118, p. 60-71 (1992).Google Scholar
- 13 G.A. Langlet, DNA-style Programming for Genetic Simulations ,APL-CAM Journal, Vol. 14, No 3, p. 407-411 (July 1992).Google Scholar
- 14 R.F. Voss, in The Science of Fractal Images (Peitgen & Saupe, eds), Springer, NY, ISBN 0.387,96608,0 (1988).Google Scholar
- 15 R.V. Jean, Cha the Origins of Spiral Symmetry in Plants, in: /.Argittai & C.A. Pickover (eds), Spiral Symmetry, World Scientific, Singapore, ISBN 981-02-0615-1 (1992) p. 323-351.Google Scholar
- 16 R.V. Jean, Mathematical Approach to Pattern and Form in Plant Growth, J. Wiley & Sons, New York, USA, ISBN 0-471-88357-3 (1984); Growth Matrix, p. 144.Google Scholar
- 17 J.A. Brown, S. Pakin & R.P. Polivka, APL2 at a Glance, Prentice Hall, N.J., USA, ISBN0-13-038670-7 (1988); Google ScholarDigital Library
- 18 G.A. Langlet, New Mathematics for the Computer, Tool of Thought, ACM/SIGAPL, (New York, NY, jan. 23, 1993).Google Scholar
- 19 S. Wolfram, Theory and Apphcations of Cellular Automata, World Scientific, ISBN 9971-50-123-6, p. 11, 52, 131 (1986).Google Scholar
Index Terms
- Building the APL atlas of natural shapes
Recommendations
Building the APL atlas of natural shapes
APL '93: Proceedings of the international conference on APLIt was previously shown [1] that APL contained the most powerful idiom ≠\ that could be used, directly in the language all computers know: binary algebra, to build models as well for physics as for biology and computer science. Several papers on the ...
APL/Z80: An APL interpreter for Z80 microcomputers
APL '79: Proceedings of the international conference on APL: part 1An APL interpreter for Z80 microcomputers is described. APL/Z80 extends APL applications to the realm of low-cost personal computers. For example, APL/Z80 can be configured to run on Z80 systems with video console, 28K byte workspace, dual floppy disks ...
APL/Z80: An APL interpreter for Z80 microcomputers
Part 1An APL interpreter for Z80 microcomputers is described. APL/Z80 extends APL applications to the realm of low-cost personal computers. For example, APL/Z80 can be configured to run on Z80 systems with video console, 28K byte workspace, dual floppy disks ...
Comments