Art Meets Mathematics in the Fourth Dimension

To see objects that live in the fourth dimension we humans would need to add a fourth dimension to our three-dimensional vision. An example of such an object that lives in the fourth dimension is a hyper-sphere or "3-sphere". The quest to imagine the elusive 3-sphere has deep historical ro...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lipscomb, Stephen Leon (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:2nd ed. 2014.
Temas:
Mathematics.
Social sciences.
Topology.
Arts.
Architecture-Mathematics.
Mathematics in the Humanities and Social Sciences.
Mathematics in Art and Architecture.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1. 3-Sphere
  • 2. Dante's 3-Sphere Universe
  • 3. Einstein and the 3-Sphere
  • 4. Einstein's Universe
  • 5. Images of S1 and S2
  • 6. Four-Web Graph Paper
  • 7. The Partial Picture
  • 8. Generating the Hyper-sphere Art
  • 9. Prelude to Chapters 10 and 11
  • 10. Great 2-Spheres
  • 11. Images of Great 2-Spheres
  • Appendix 1
  • Appendix 2
  • Appendix 3. Inside S3 and Questions.- Appendix 4. Mathematics and Art.

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