90 research outputs found
Creating subdivision rules from polyhedra with identifications
Cannon, Swenson, and others have proved numerous theorems about subdivision
rules associated to hyperbolic groups with a 2-sphere at infinity. However, few
explicit examples are known. We construct an explicit subdivision rule for many
3-manifolds from polyhedral gluings. The manifolds that satisfy the conditions
include all closed manifolds created from right-angled hyperbolic polyhedra, as
well as many 3-manifolds with toral or hyperbolic boundary.Comment: 25 pages, 33 figure
The Origin and Possible Significance of Variation of Leaf Structure in the Two Native British Oak Species, Quercus robur L. and Quercus petraea (Matt.) Liebl.
- …