Art Meets Mathematics in the Fourth Dimension

• Main Author: Lipscomb, Stephen Leon (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Edition: 2nd ed. 2014.
• Subjects: Mathematics.; Topology.; Social sciences.; Mathematics, general.; Mathematics in the Humanities and Social Sciences.; Mathematics in Art and Architecture.

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 roots: medie...

Table of Contents:

• 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.