CAD Generation and Evolution for Geometric Forms

  • Daniela Bertol


In this chapter we will provide applications of the syntactic rules established in Chapter III for the generation and evolution of geometric forms. Most of these two-dimensional and three-dimensional forms are either taken directly from classical geometry or derived from geometric shapes, but some of the models have been inspired by more abstract geometries, such as topology, differential geometry, and projective geometry.


Equilateral Triangle Continuous Form Regular Polygon Regular Polyhedron Modular Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Coxeter, H. S. M., and S. L. Greitzer, Geometry Revisited, Random House, New York, 1967zbMATHGoogle Scholar
  2. Cundy, H. Martin and A. R Rollett, Mathematical Models, Oxford University Press, Oxford, 1961zbMATHGoogle Scholar
  3. Escher, M. C., The Graphic Work ofM. C. Escher, Meredith Press, New York, 1960Google Scholar
  4. Fuller, Buckminster, Synergetics, Macmillian, New York, 1975Google Scholar
  5. Ghyka, Matila, The Geometry of An and Life, Dover, New York, 1977Google Scholar
  6. Grunbaum, Branko and Shephard, G. C., Tilings and Pattern, W. H. Freeman, New York, 1987Google Scholar
  7. Haeckel, Ernst, Art Forms in Nature, Dover, New York, 1974Google Scholar
  8. Hilbert, D. and S. Cohn-Vossen, Geometry and Imagination, Chelsea, New York, 1952zbMATHGoogle Scholar
  9. Kepes, Gyorgy (ed.), Structure in Art and Science, Braziller, New York, 1965Google Scholar
  10. Kepler, Johan, Harmonices Mundi, Lincii Austraie, 1619Google Scholar
  11. Mandelbrot, Benoit B., The Fractal Geometry of Nature, W. H. Freeman, San Francisco, 1977Google Scholar
  12. Pacioli, Luca, De Divina Proportioned Venitiis: A- Paganius Paganinus characteribus eligantissimis accuratissime imprimebat, 1509Google Scholar
  13. Plato, Timaem, Penguin Books, Baltimore, 1965Google Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Daniela Bertol
    • 1
  1. 1.New York CityUSA

Personalised recommendations