Thaw: a tool for approximating cut loci on a triangulation of a surface.
Itoh, Jin-ichi, Sinclair, Robert (2004)
Experimental Mathematics
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Itoh, Jin-ichi, Sinclair, Robert (2004)
Experimental Mathematics
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Li, Tao (2002)
Geometry & Topology
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Lee Rudolph (1985)
Revista Matemática Iberoamericana
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J. Carter, Masahico Saito (1998)
Banach Center Publications
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A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces in 3-space are presented. One of these examples has branch points. The other is based on a construction similar to the construction of Giller's example in which the orientation double cover of a surface with odd Euler characteristic...
Maher, Joseph (2005)
Geometry & Topology
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Teruo Nagase, Akiko Shima (2005)
Fundamenta Mathematicae
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Let Γ be a 4-chart with at most two crossings. We show that if the closure of the surface braid obtained from Γ is one 2-sphere, then the sphere is a ribbon surface.
Szilvási-Nagy, Márta, Béla, Szilvia, Mátyási, Gyula (2008)
Annales Mathematicae et Informaticae
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Allan L. Edmonds (2008)
Fundamenta Mathematicae
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Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the more involved case when the surface is nonorientable.
King, Simon A. (2001)
Geometry & Topology
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Udo Simon, Konrad Voss, Luc Vrancken, Martin Wiehe (2002)
Banach Center Publications
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We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
Atsuhiro Nakamoto, Seiya Negami, Kyoji Ohba, Yusuke Suzuki (2016)
Discussiones Mathematicae Graph Theory
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The looseness of a triangulation G on a closed surface F2, denoted by ξ (G), is defined as the minimum number k such that for any surjection c : V (G) → {1, 2, . . . , k + 3}, there is a face uvw of G with c(u), c(v) and c(w) all distinct. We shall bound ξ (G) for triangulations G on closed surfaces by the independence number of G denoted by α(G). In particular, for a triangulation G on the sphere, we have [...] and this bound is sharp. For a triangulation G on a non-spherical surface...
Piercarlo Craighero, Remo Gattazzo (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Hari das Bagchi, Biswarup Mukherji (1952)
Rendiconti del Seminario Matematico della Università di Padova
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Hoffman, David, Wei, Fusheng (2002)
Experimental Mathematics
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