Edited by Javier Barrallo, The University of the Basque Country, Spain.

Hardbound, ISBN 84-600-9459-6. 1998, 664 pages.


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1. (Dis)symmetry: mathematics and design. Euclidean vs. Vitruvian mathematics. Denes Nagy. (Japan)

2. A comparison of shape grammars, parametric shape grammars and shape schema grammars. Kewu Li, Robert Woodbury, Antony Radford. (Australia)

3. A functional code for the guidance of the design conception. J. Jacas. A. Monreal. (Spain)

4. A geographic information system for the territorial energetic classification. Ángel Fernández, Francisco García. (Spain)

5. A multicultural approach for the teaching and learning of Mathematics through art. E. M. Guedes, R. M. Zandonadi, E. A. Filho. (Brazil)

6. A new tie-breaking rule for simplifying boolean functions of the maximum complexity. Javier García, Evaristo Kahoraho, Nuria Pérez. (Spain)

7. A taxonomy of ancient Geometry based on the hidden pavements of Michelangelo’s Laurentian library. B. Nicholson, J. Kappraff, S. Hisano (USA)

8. A three-dimensional graphic representation of the mathematical knowledge. Clara Barroso, Javier Barrallo, Luis Martín. (Spain)

9. Alternative spaces. Some steps in a road without alternatives. Roberto Doberti. (Argentina)

10. An algebraic approach to comparing representations. Rudi Stouffs, Ramesh Krishnamurti. (Switzerland, USA)

11. Architecture, a mathematical science – teaching experimental CAAD: proportions and harmonies. Ursula Kirschner. (Germany)

12. Axial conformations. Surfaces sustained in straight axis. Roberto Doberti, Liliana Giordano, Liliana D'Angeli, Patricia Muñoz. (Argentina)

13. Boolean operations and architectural form finding. M. Burry, G. Dunlop, P. Wood, J. Gomez, J. Coll. (Australia, New Zealand, Spain)

14. Classification of graphs associated to polyhedra. Hernan Nottoli. (Argentina)

15. Closing the gap between Architecture and lighting design. Benjamin Geebelen. (Belgium)

16. Computer graphics and electronic mail art. Martin Sperka. (Slovakia)

17. Curve and surface design with a computer algebra system. Miquel Grau, Miquel Noguera. (Spain)

18. Design out of all proportion. Peter Szalapaj. (UK)

19. Designing for understanding. R. Noss (UK)

20. Development of virtual reality application: simulation of environments in Architecture. G. Payares, E. Ramos. (Venezuela)

21. Empiricism versus Mathematics in engineering design. E. Reed. (UK)

22. Exploration of physical space in architecture: new design elements derived from the Moebius strip. Gonzalo Vélez. (Venezuela)

23. Fractal Gardens. G. Alvarez, F. Montoya, G. Pastor, M. Romera. (Spain)

24. Fractal Geometry in jewelry design and production. Richard C. Becker, Dick T. Oliver. (USA)

25. Fractals and Architectural form. Inés Moisset. (Argentina)

26. Fractals in architectural design. Sanja Durmisevic, Özer Ciftcioglu. (The Netherlands)

27. Generation and analysis of surfaces applied to medical recognition. Luis Gavete, Julián Herranz, Antonio Ruiz, Juan Ignacio Sanz. (Spain)

28. Geometry and design in 2D and 3D Penrose tiling. Tohru Ogawa. (Japan)

29. Geometry for design: the integration of Geometry study within design curricula. Dorothy French. (USA)

30. Graph theory applied to the design of architectural connections. Martin Lazaro Benarroch. (Argentina)

31. Hilbert’s building blocks. Robert J. Krawczyk. (USA)

32. Human and computer decisions in the Kasparov vs Deep Blue tournaments. Dmitry Mazo. (Russia)

33. Hyperspace, hyperseeing and hypersculpture. Nat Friedman. (USA)

34. Implementation of an adaptative finite element algorithm for linear parabolic problems with Matlab. Ana Rosa Carrera, Margarita Martinez, Ana Martín. (Spain)

35. Intertwining the two cultures in the year two thousand. Ken Stange. (Canada)

36. Layered planar Geometry and its three-dimensional occurrence in space: fundamental concepts in visual art. Benigna Chilla. (USA)

37. M. C. Escher: design, math and cinema. M. Emmer (Italy)

38. Mathematical model for determining the accumulated hydrogen reserve in wind-generated electricity at distant sites. Vera W. De Spinadel, Florencio Gamallo,
Erico Spinadel. (Argentina)

39. Mathematical modelling of human spine and design. B. S. Acar, K. Case, J. M. Porter, D. C. Xiao. (UK)

40. Mathematical models and morphology. Francisca Blanco, Dora Giordano, Elena Nieto. (Spain, Argentina)

41. Mathematical models of heritage historical buildings. Santiago Sánchez, Alberto Zulueta, Javier Barrallo. (Spain)

42. Mathematical sculpture. Charles O. Perry. (USA)

43. Mathematics & modern ambient music; one way to express technomusic mathematically. Gaute Lien. (Norway)

44. Mathematics and design relationship in architecture within cronological period. Zafer Sagdic. (Turkey)

45. Mathematics and ornamental styles. Slavik Jablan. (Yugoslavia)

46. Mathematics as art? Vesna Mujicic. (Yugoslavia)

47. Mathematics interdisciplinary workshop applied to architecture. S. A. Bauleo, R. M. Escayola, S. M. Sirianni. (Argentina)

48. Modelling of a leakage flux transformer with finite elements. Javier Bilbao, Eugenio Bravo. (Spain)

49. Modelling quadrics with Bezier triangles. Peter Ferschin. (Austria)

50. New properties of conic sections and the ruled surfaces deriving from them. Selected applications in Architecture and Engineering. J. V. Martín Zorraquino, F. Granero, J. J. Doria. (Spain)

51. Nice projections and reconstruction of objects. Francisco Gómez, Ferran Hurtado, Godfried Toussaint. (Spain, Canada)

52. Polyhedral grids composed of regular polygones. Patrick Labarque, Johan Verbeke. (Belgium)

53. Qualitative shape modelling of 3D data. L. Pastor. J. Durán. A. Rodriguez. (Spain)

54. SALAD: A symbolic analysis tool for analog circuits design. Idoia Aguirre, Alfonso Carlosena. (Spain)

55. Search of parameters in a mathematical model using experimental data, ordinary method of least squares and method of Qamar-Husain. Eduardo Velasco, Luis Gavete. (Spain)

56. Self-contained transformation of images. Joaquim F. Prado, Alex Lutkus. (Brazil)

57. Spatial surfaces in industrial design. Conceptual and operational instruments. Patricia Muñoz, Juan Lopez. (Argentina)

58. Stability graphs of recursive processes. Mario Markus, Karsten Kötter, Matthias Woltering. (Germany)

59. The application of cluster analysis to the study of facade composition. Shuenn-Ren Liou, Shuo-Yan Chou, Lin-Lin Chen, Ta-Ren Chyn. (Taiwan)

60. The area-perimeter relation in buildings and a mathematical examination of the wall thickness in terms of space geometry. Gunsen Alver, Meral Ayberk, Erkan Avlar, Mujdem Vural. (Turkey)

61. The canonical folding. Eric Goles.(Chile)

62. The explicit and implicit Geometry in the interpretation of architectural design. Carlos V. Federico, Rosa S. Enrich, Nestor A. Diaz. (Argentina)

63. The line of the homotheties of the triangles of Morley. Enrique Lainez. (Spain)

64. The role of Mathematics in Alberti's De Re Aedificatoria. Khaled Dewidar. (Egypt)

65. The symmetry of the equal temperament scale. Athanassios Economou. (USA)

66. There are 22 families of discrete frieze groups in 3 dimensions. C. Alsina, J. L. Garcia. (Spain)

67. Topology decomposition for spatial planning by wavelets. O. Ciftcioglu, S. Sariyildiz, P. van der Veer. (The Netherlands)

68. Tort-Decó: A package for drawing periodic geometric designs. Martin Garbayo, Eugenio Roanes. (Spain)

69. Transfer of architectural 2D images to 3D models by a simplified and semiauthomatic process. Javier Monedero, Ernest Redondo, Andrés de Mesa, Joaquín Regot. (Spain)

70. Two subjects of pure Mathematics applied to design: Groebner bases and homotopy. Leonard L. Echagüe. (Argentina)

71. Using the perimeter of polyominoes as assessment parameter of building envelopes. Leonardo Combes. (Argentina)

72. Variational Geometry and its application to the tolerance analysis of 3D mechanical assemblies. A. Alvarez, A. Longo, T. Gutierrez, M. Aizpitarte, A. R.
Carrillo. (Spain)

73. Virtual modelling of timber structures. Rodrigo Garcia, Juan Carlos Parra, Ricardo Hempel, Mauricio Reyes. (Chile)

74. Virtual prototypes. T. Gutierrez, J. I. Barbero, A. Eguidazu, M. Aizpitarte, A. R. Carrillo. (Spain)

75. Wave space design patterning. Douglas Peden. (USA)

76. Zonish polyhedra. George Hart. (USA)