Undine Leopold

activity

20152019

most citedOn the regularity radius of Delone sets in

R^{3}

17 citations · 27 across the 5 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.GT2016

Non-existence of polyhedral immersions of triangulated surfaces in $R^{3}$

Undine Leopold

We present and apply a method for disproving the existence of polyhedral immersions in $R^{3}$ of certain triangulations on non-orientable surfaces. In particular, it is pro…

math.MG2016★ 2 cited

Polyhedral Embeddings and Immersions of Many Triangulated 2-Manifolds with Few Vertices

Ulrich Brehm, Undine Leopold

This article presents an improvement and extension of the heuristic first presented by Hougardy, Lutz, and Zelke in 2010 for realizing triangulated orientable surfaces with few ver…

math.MG2016

Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces

Undine Leopold, Horst Martini

It is surprising, but an established fact that the field of Elementary Geometry referring to normed spaces (= Minkowski spaces) is not a systematically developed discipline. There…

Non-existence of polyhedral immersions of triangulated surfaces in R3

Polyhedral Embeddings and Immersions of Many Triangulated 2-Manifolds with Few Vertices

Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces

Non-existence of polyhedral immersions of triangulated surfaces in $R^{3}$