A geometric realization without self-intersections does exist for Dyck's regular map
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Publication:581842
DOI10.1007/BF02187748zbMath0689.51010OpenAlexW2001386083MaRDI QIDQ581842
Publication date: 1989
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131097
Polyhedra and polytopes; regular figures, division of spaces (51M20) Polytopes and polyhedra (52Bxx)
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Hurwitz's regular map <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfenced><mml:mn>3</mml:mn><mml:mn>7</mml:mn></mml:mfenced></mml:math> of genus <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>7</mml:mn></mml:math>: A polyhedral realization ⋮ Realizations of lattice quotients of Petrie-Coxeter polyhedra ⋮ On polyhedral realizations of Hurwitz's regular map {3, 7}_18 of genus 7 with geometric symmetries ⋮ The combinatorially regular polyhedra of index 2 ⋮ Regular polyhedra with hidden symmetries ⋮ Non-existence of polyhedral immersions of triangulated surfaces in \(\mathbb R^3\) ⋮ Polyhedral surfaces in wedge products ⋮ Vertex-transitive polyhedra of higher genus. I ⋮ A locally regular heptagon-dodecahedron embedded in 3-space ⋮ Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds
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