Fricke-Klein Map

The classical Fricke-Klein map of genus 5 from 1890 with an embedding as a regular polyhedron discovered by Branco Grünbaum in 1999 (not shown here). The tilegraph is of genus 5 and has 384 isomorphisms. For more information have a look at the paper The regular Grünbaum polyhedron of genus 5 by Gabor Gevay, Egon Schulte, Jorg M. Wills.