Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Two-faced maps
- 3 Fullerenes as tilings of surfaces
- 4 Polycycles
- 5 Polycycles with given boundary
- 6 Symmetries of polycycles
- 7 Elementary polycycles
- 8 Applications of elementary decompositions to (r, q)-polycycles
- 9 Strictly face-regular spheres and tori
- 10 Parabolic weakly face-regular spheres
- 11 General properties of 3-valent face-regular maps
- 12 Spheres and tori that are aRi
- 13 Frank-Kasper spheres and tori
- 14 Spheres and tori that are bR1
- 15 Spheres and tori that are bR2
- 16 Spheres and tori that are bR3
- 17 Spheres and tori that are bR4
- 18 Spheres and tori that are bRj for j ≥ 5
- 19 Icosahedral fulleroids
- References
- Index
17 - Spheres and tori that are bR4
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Two-faced maps
- 3 Fullerenes as tilings of surfaces
- 4 Polycycles
- 5 Polycycles with given boundary
- 6 Symmetries of polycycles
- 7 Elementary polycycles
- 8 Applications of elementary decompositions to (r, q)-polycycles
- 9 Strictly face-regular spheres and tori
- 10 Parabolic weakly face-regular spheres
- 11 General properties of 3-valent face-regular maps
- 12 Spheres and tori that are aRi
- 13 Frank-Kasper spheres and tori
- 14 Spheres and tori that are bR1
- 15 Spheres and tori that are bR2
- 16 Spheres and tori that are bR3
- 17 Spheres and tori that are bR4
- 18 Spheres and tori that are bRj for j ≥ 5
- 19 Icosahedral fulleroids
- References
- Index
Summary
- Type
- Chapter
- Information
- Geometry of Chemical GraphsPolycycles and Two-faced Maps, pp. 256 - 273Publisher: Cambridge University PressPrint publication year: 2008