Semiregular pentagonal subdivisions Conference Paper uri icon

abstract

  • Triangular and quadrilateral meshes are commonly used in computer graphics applications. In this paper, we analyze the topological existence of meshes that consist of n-sided faces where n is greater than 4 such as pentagonal and hexagonal meshes. We show that it is possible to represent any 2-manifold with a mesh that is made up of only pentagons. We also show that the meshes that consist of only polygons with more than five sides cannot represent all 2-manifolds. We present a pentagonalization (or pentagonal conversion) scheme that can create a pentagonal mesh from any arbitrary mesh structure. We also introduce a pentagonal preservation scheme that can create a pentagonal mesh from any pentagonal mesh.

name of conference

  • Proceedings Shape Modeling Applications, 2004.

published proceedings

  • PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON SHAPE MODELING AND APPLICATIONS

author list (cited authors)

  • Akleman, E., Srinivasan, V., Melek, Z., & Edmundson, P.

citation count

  • 11

complete list of authors

  • Akleman, E||Srinivasan, V||Melek, Z||Edmundson, P

publication date

  • January 2004