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Building the APL atlas of natural shapes

Author:

Gérard A. LangletAuthors Info & Claims

APL '93: Proceedings of the international conference on APL

Pages 134 - 147

https://doi.org/10.1145/166197.166214

Published: 01 September 1993 Publication History

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.

References

[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).

[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.

Digital 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).

[4]

G.A. Langlet, Physique et Alg~bre de Boole, Les Nouvelles d'APL, AFAPL, Paris, No 3, (April 1992).

[5]

G.A. Langlet, Un Concours Paritonesque, APL-CAM Journal, Belgium, Vol. 14, No 3, p. 412-416 (July 1992).

[6]

G.A. Langlet, La Propagation Asym6trique de la Parit~ Biomath, ISSN 0035.10.24, vol. 115, p. 5-42 (1992).

[7]

G.A. Langlet, L'lnt~gration Binaire par l'Image, APL-CAM Journal, Vol. 14, No 3. p. 389-406 (July 1992).

[8]

H.A. Peele, Gray Codes in APL, APL Quote.Quad, Vol. 7, No 3 (1976, revised, priv. comm.).

Digital Library

[9]

ISO8495e/f, Int. APL Standard, ISO, CH-Gen~ve (1989).

[10]

G.A. Langlet, Le Principe de Moindre Action G~n6ralisie, UITF 1992 Rennes, ISI3N 2-9009947-00-9 p. 77,96 (Dec. 1992).

[11]

G.A. Langlet, Variations sur Sierpinski Pascal & Fibonacci, APL-CAM Journal, Vol 13, No 2, p. 375-389 (1991).

[12]

G.A. Langlet, The Fractal Laws of Genetics, Biomath, ISSN 0035.10.24, vol. 118, p. 60-71 (1992).

[13]

G.A. Langlet, DNA-style Programming for Genetic Simulations,APL-CAM Journal, Vol. 14, No 3, p. 407-411 (July 1992).

[14]

R.F. Voss, in The Science of Fractal Images (Peitgen & Saupe, eds), Springer, NY, ISBN 0.387,96608,0 (1988).

[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.

[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.

[17]

J.A. Brown, S. Pakin & R.P. Polivka, APL2 at a Glance, Prentice Hall, N.J., USA, ISBN0-13-038670-7 (1988);

Digital Library

[18]

G.A. Langlet, New Mathematics for the Computer, Tool of Thought, ACM/SIGAPL, (New York, NY, jan. 23, 1993).

[19]

S. Wolfram, Theory and Apphcations of Cellular Automata, World Scientific, ISBN 9971-50-123-6, p. 11, 52, 131 (1986).

Cited By

Smith SShaw EShaw L(2001)Suggestions for a method of analyzing binary images using Langlet's parity logicProceedings of the 2001 conference on APL: an arrays odyssey10.1145/570407.570420(115-124)Online publication date: 25-Jul-2001
https://dl.acm.org/doi/10.1145/570407.570420
Smith S(2000)Suggestions for a method of analyzing binary images using Langlet's parity logicACM SIGAPL APL Quote Quad10.1145/570406.57042031:2(115-124)Online publication date: 1-Dec-2000
https://dl.acm.org/doi/10.1145/570406.570420
Langlet G(1994)The APL theory of human visionACM SIGAPL APL Quote Quad10.1145/190468.19029325:1(105-121)Online publication date: 1-Aug-1994
https://dl.acm.org/doi/10.1145/190468.190293
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Information

Published In

cover image ACM Conferences

APL '93: Proceedings of the international conference on APL

September 1993

325 pages

ISBN:0897916123

DOI:10.1145/166197

Editor:
Elena M. Anzalone

ACM SIGAPL APL Quote Quad Volume 24, Issue 1
Aug. 1993
316 pages
ISSN:0163-6006
DOI:10.1145/166198
Editor:
Elena M. Anzalone
Issue’s Table of Contents

Copyright © 1993 Author.

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SIGAPL: ACM Special Interest Group on APL Programming Language

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 September 1993

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APL93: International Conference on APL

August 15 - 19, 1993

Ontario, Toronto, Canada

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Cited By

Smith SShaw EShaw L(2001)Suggestions for a method of analyzing binary images using Langlet's parity logicProceedings of the 2001 conference on APL: an arrays odyssey10.1145/570407.570420(115-124)Online publication date: 25-Jul-2001
https://dl.acm.org/doi/10.1145/570407.570420
Smith S(2000)Suggestions for a method of analyzing binary images using Langlet's parity logicACM SIGAPL APL Quote Quad10.1145/570406.57042031:2(115-124)Online publication date: 1-Dec-2000
https://dl.acm.org/doi/10.1145/570406.570420
Langlet G(1994)The APL theory of human visionACM SIGAPL APL Quote Quad10.1145/190468.19029325:1(105-121)Online publication date: 1-Aug-1994
https://dl.acm.org/doi/10.1145/190468.190293
Langlet G(1994)The APL theory of human visionProceedings of the international conference on APL : the language and its applications: the language and its applications10.1145/190271.190293(105-121)Online publication date: 1-Aug-1994
https://dl.acm.org/doi/10.1145/190271.190293

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