Universal natural shapes

Leopold C. A. Verstraelen

Pokroky matematiky, fyziky a astronomie (2007)

  • Volume: 52, Issue: 2, page 142-151
  • ISSN: 0032-2423

How to cite

top

Verstraelen, Leopold C. A.. "Univerzální přírodní tvary." Pokroky matematiky, fyziky a astronomie 52.2 (2007): 142-151. <http://eudml.org/doc/196482>.

@article{Verstraelen2007,
author = {Verstraelen, Leopold C. A.},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {geometry; curve; surface; geometry; curve; surface},
language = {cze},
number = {2},
pages = {142-151},
publisher = {Jednota českých matematiků a fyziků},
title = {Univerzální přírodní tvary},
url = {http://eudml.org/doc/196482},
volume = {52},
year = {2007},
}

TY - JOUR
AU - Verstraelen, Leopold C. A.
TI - Univerzální přírodní tvary
JO - Pokroky matematiky, fyziky a astronomie
PY - 2007
PB - Jednota českých matematiků a fyziků
VL - 52
IS - 2
SP - 142
EP - 151
LA - cze
KW - geometry; curve; surface; geometry; curve; surface
UR - http://eudml.org/doc/196482
ER -

References

top
  1. Verstraelen, L., The geometry of eye and brain, Soochow Journal of Mathematics 30 (2004) (volume in honour of Professor Bang-Yen Chen), 367–376. (2004) Zbl1131.92303MR2093862
  2. Coolidge, J. L., A history of geometrical methods, Dover Publ., London (1963). (1963) Zbl0113.00103MR0160143
  3. Bronowski, J., The ascent of man, Litte, Brown & Co, Boston 1973. (1973) 
  4. Lejeune, A., Euclide et Ptolémée, deux stades de l’optique géométrique grecque, Université de Louvain, Bureau du “Recueil” (1948). (1948) Zbl0039.24102MR0028212
  5. Montel, P., Encyclopédie française, Tome 1, Larousse, Paris 1937. (1937) 
  6. Dillen, F., Verstraelen, L., Handbook of differential geometry, North-Holland, Amsterdam, Vol. 1 (2000) and Vol. 2 (2005). (2000) Zbl1069.00010MR1736851
  7. Chern, S. S., Chen, W. H., Laser, K. S., Lectures on differential geometry, World Scientific, Singapore 1999. (1999) MR1735502
  8. Kühnel, W., Differential geometry: curves-surfaces-manifolds, AMS-Student Math. Library, vol. 16 (2002). (2002) Zbl1009.53002MR1882174
  9. Penrose, R., The geometry of the universe, In Mathematics Today (ed. Steen, L. A.), Vintage Books, New York 1980. (1980) Zbl0425.53033MR0599181
  10. Penrose, R., The emperor’s new mind, concerning computers, minds and the laws of physics, Oxford University Press, Oxford 1989. (1989) Zbl0749.00009MR1048125
  11. Browder, F. E., Mac Lane, S., The relevance of mathematics, In Mathematics Today (ed. Steen, L. A.), Vintage Books, New York 1980. (1980) 
  12. Hilbert, D., Mathematical problems (1900 – Paris – Lecture), AMS-Proceedings of Symposia in Pure Mathematics, Vol. 28 (1976). (1976) 
  13. d’Arcy Thompson, W., On growth and form, Cambridge University Press, Cambridge 1917. (1917) MR0128562
  14. Lamé, G., Examen des différentes méthodes employées pour résoudre les problèmes de géométrie, Hermann, Paris 1818. (1818) Zbl34.0617.01
  15. Thompson, A. C., Minkowski geometry, Encyclopedia of mathematics and its applications, Vol. 63, Cambridge University Press, Cambridge 1996. (1996) Zbl0868.52001MR1406315
  16. Chen, B.-Y., What can we do with Nash’s embedding theorem?, Soochow Journal of Mathematics 30 (2004), 303–338. (2004) Zbl1077.53044MR2093858
  17. Chen, B.-Y., Riemannian submanifolds, In [6, Vol. 1]. Zbl1079.53077
  18. Hildebrandt, S., Tromba, A., Panoptimum, Spektrum, Heidelberg 1986. (1986) MR1040828
  19. Willmore, T. J., A survey on Willmore immersions, In Geometry and Topology of submanifolds, Vol. IV, (eds. Dillen, F., Verstraelen, L.), World Scientific, Singapore 1992. (1992) Zbl0841.53051MR1185712
  20. Chen, B.-Y., Total mean curvature and submanifolds of finite type, World Scientific, Singapore 1984. (1984) Zbl0537.53049MR0749575
  21. Barros, M., 10.1016/S0550-3213(98)00601-4, Nuclear Physics B 535 (1998), 531–551. (1998) Zbl1041.83512MR1666496DOI10.1016/S0550-3213(98)00601-4
  22. Barros, M., 10.1088/0264-9381/17/9/308, Class. Quantum Grav. 17 (2000), 1979–1988. (2000) Zbl0967.83031MR1764006DOI10.1088/0264-9381/17/9/308
  23. Gielis, J., Haesen, S., Verstraelen, L., Universal natural shapes; from the supereggs of Piet Hein to the cosmic egg of Georges Lemaître, Kragujevac Journal of Mathematics 28 (2005), 57–68. (2005) MR2211243
  24. Gielis, J., 10.3732/ajb.90.3.333, American Journal of Botamy 90 (2003), 333–338. (2003) DOI10.3732/ajb.90.3.333
  25. Gielis, J., Inventing the circle, Geniaal Press, Antwerpen (2003). (2003) 
  26. Gielis, J., Gerats, T., A botanical perspective on plant shape modeling, Proc. International Conference on Computing, Communications and Control Technologies, Vol. VI (2004), 265–272. (2004) 
  27. Gielis, J., Wiskundige supervormen bij bamboes, Newsletter Belgian Bamboo Society 13 (1996), 20–26. (1996) 
  28. Gielis, J., Beirinckx, B., Bastiaens, E., Superquadrics with rational and irrational symmetries, Proc. 8th ACM symposium on Solid Modeling and Applications (2003), 262–265. (2003) 
  29. Gielis, J., Variational superformula curves for 2D- and 3D graphic arts, Proc. World Multi-Conference on Systemics, Cybernetics and Informatics, Vol. V: Computer Science and Engineering (2004), 119–124. (2004) 
  30. Haesen, S., Sebeković, A., Verstraelen, L., Relations between intrinsic and extrinsic curvatures, Kragujevac J. Math. 25 (2003), 139–145. (2003) Zbl1274.53024MR2120586
  31. Dillen, F., Haesen, S., Petrović-Torgasev, M., Verstraelen, L., 10.1016/j.geomphys.2004.02.003, J. Geom. Phys. 52 (2004), 101–112. (2004) Zbl1083.53062MR2088970DOI10.1016/j.geomphys.2004.02.003
  32. Haesen, S., Verstraelen, L., 10.1063/1.1668333, J. Math. Phys. 45 (2004), 1497–1510. (2004) Zbl1068.53053MR2043839DOI10.1063/1.1668333
  33. Lemaître, G., Un univers homogène de masse constante et de rayon croissant, rendant compte de la vitesse radiale des nébuleuses extra-galactique, Annales Soc. Sc. Bruxelles 47 (1927), 49–59. (1927) Zbl53.0902.06
  34. O’Neill, B., Semi-Riemannian geometry, with applications to relativity, Acad. Press, New York 1983. (1983) MR0719023
  35. Helmholtz, H. von, Ueber die Tatsachen welche der Geometrie zu Grunde liegen, In Abhandlungen zur Philosophie und Geometrie, Junghaus, Cuxhausen 1987. (1987) 
  36. Riemann, B., Ueber die Hypothesen welche der Geometrie zu Grunde liegen, In Gaussche Flächentheorie, Riemannsche Räume und Minkowski-Welt, Teubner, Leipzig 1984. (1984) Zbl47.0770.01

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.