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math.CO2012
The Regular Grunbaum Polyhedron of Genus 5
Gabor Gevay, Egon Schulte, Jorg M. Wills
We discuss a polyhedral embedding of the classical Fricke-Klein regular map of genus 5 in ordinary 3-space. This polyhedron was originally discovered by Grunbaum in 1999, but was…
math.CO2012
Icosahedral Skeletal Polyhedra Realizing Petrie Relatives of Gordan's Regular Map
Anthony M. Cutler, Egon Schulte, Jorg M. Wills
Every regular map on a closed surface gives rise to generally six regular maps, its "Petrie relatives", that are obtained through iteration of the duality and Petrie operations (ta…