Geodesic
Kepler-Poinsot-Type Realizations of Regular Maps of Klein, Fricke, Gordan and Sherk
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 155-164

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DOI

The paper describes polyhedral realizations for Felix Klein's map {3, 7}8 of genus 3, for Gordan's map {4, 5}6 of genus 4, and for two maps of genus 5, the Klein-Fricke map of type {3, 8} and Sherk's map of type {4, 6}. The polyhedra have self-intersections but high symmetry and thus are close analogues to the Kepler-Poinsot-polyhedra.
DOI : 10.4153/CMB-1987-023-9
Mots-clés : 1. 51M20, 2. 52A25, 3. 30F99, Regular Polyhedra, regular maps on surfaces 
Schulte, E.; Wills, J. M. Kepler-Poinsot-Type Realizations of Regular Maps of Klein, Fricke, Gordan and Sherk. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 155-164. doi: 10.4153/CMB-1987-023-9
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     author = {Schulte, E. and Wills, J. M.},
     title = {Kepler-Poinsot-Type {Realizations} of {Regular} {Maps} of {Klein,} {Fricke,} {Gordan} and {Sherk}},
     journal = {Canadian mathematical bulletin},
     pages = {155--164},
     year = {1987},
     volume = {30},
     number = {2},
     doi = {10.4153/CMB-1987-023-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-023-9/}
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