5 citations · 9 across the 6 of their papers we have counts for
7 papers
On the Egyptian knotted rope
Rubén Vigara
The Egyptian knotted rope has been historically considered a measuring/geometric tool. A naive change in the way the rope is held to tighten it turns the rope into a primitive calc…
Banchoff's sphere and branched covers over the trefoil
Álvaro Lozano-Rojo, Rubén Vigara
A filling Dehn surface in a -manifold is a generically immersed surface in that induces a cellular decomposition of . Given a tame link in there is a filling…
Non-euclidean shadows of classical projective theorems
Ruben Vigara
Some translations into non-euclidean geometry of classical theorems of planar projective geometry are explored. The existence of some common triangle centers is dedeuced from theor…
An application of Pappus' Involution Theorem in euclidean and non-euclidean geometry
Ruben Vigara
Pappus' Involution Theorem is a powerful tool for proving theorems about non-euclidean triangles and generalized triangles in Cayley-Klein models. Its power is illustrated by provi…
The Triple Point Spectrum of closed orientable 3-manifolds
Álvaro Lozano Rojo, Rubén Vigara Benito
The triple point numbers and the triple point spectrum of a closed 3-manifold were defined in (R. Vigara, Representación de 3-variedades por esferas de Dehn rellenantes, PhD Thesis…
On the subadditivity of Montesinos complexity of closed orientable 3-manifolds
Álvaro Lozano, Rubén Vigara
A filling Dehn sphere in a closed 3-manifold is a sphere transversely immersed in that defines a cell decomposition of . Every closed 3-manifold has a filling Dehn s…