Results 151 to 160 of about 118,819 (179)

Equivelar polyhedral manifolds inE 3

Israel Journal of Mathematics, 1982
An equivelar polyhedral 2-manifold in the classM p,q is one embedded inE 3 in which every face is a convexp-gon and every vertex isq-valent. Various constructions for equivelar manifolds are described, and it is shown that, in certain classesM p,q, there is a manifold of given ...
P McMullen
exaly   +2 more sources

On the finding of polyhedral manifolds

Lecture Notes in Mathematics, 1989
Jürgen Bokowski, Bernd Sturmfels
exaly   +2 more sources

Polyhedral Manifolds

1993
J M Wills
exaly   +2 more sources

Manifold Construction Over Polyhedral Mesh

Communications in Mathematics and Statistics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Chun, Liu, Ligang
openaire   +2 more sources

All Polyhedral Manifolds are Connected by a 2-Step Refolding

Journal of Information Processing
This work was intended as a replacement of arXiv:2412.02174 and any subsequent updates will appear ...
Jayson Lynch, Ryuhei Uehara, Erik Demaine   +2 more
exaly   +7 more sources

Polyhedral Manifolds With Few Vertices

North-Holland Mathematics Studies, 1984
Publisher Summary A (polyhedral) realization of the closed orientable surface ℳ g of genus g is a cell complex M g ⊂ E d whose underlying point set is homeomorphic to ℳ g . So, M g is a model of ℳ g made up of plane convex polygons. The proof of the Heawood map color theorem by Ringel and Youngs gives rise to a series of M g ⊂ E 5 ...
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Polyhedral 2-manifolds inE 3 with unusually large genus

Israel Journal of Mathematics, 1983
An equivelar polyhedral 2-manifold in the class ℳp,q is one embedded inE 3 in which every face is a convexp-gon and every vertex isq-valent. In this paper, examples are constructed, to show that each of the classes ℳ3,q (q≧7), ℳ4,q (q≧5) and ℳp,4 (p≧5) contains infinitely many distinct combinatorial types. As particular examples,
P McMullen
exaly   +3 more sources

Polyhedral Metrics and 3-Manifolds which are Virtual Bundles

Bulletin of the London Mathematical Society, 1999
Throughout this paper, all 3-manifolds are closed and orientable. Our aim is to give some new examples of 3-manifolds which are virtual bundles, that is, have finite sheeted covers which are surface bundles over the circle. Thurston has raised the question as to whether all irreducible atoroidal 3-manifolds might have this property.
Aitchison, I. R., Rubinstein, J. H.
openaire   +1 more source

Invariant manifold connections via polyhedral representation

Acta Astronautica, 2017
Abstract In recent years, manifold dynamics has assumed an increasing relevance for analysis and design of low-energy missions, both in the Earth-Moon system and in alternative multibody environments, and several space missions have already taken advantage of the results of the related studies.
PONTANI, MAURO, TEOFILATTO, Paolo
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Tight polyhedral realisations of closed 2-dimensional manifolds in ℝ3

Journal of Geometry, 1981
exaly   +2 more sources