References

Books

ARM
Peter McMullen and Egon Schulte
Abstract Regular Polytopes
Cambridge University Press, 2002; ISBN 0-521-81496-0.

Published papers

G03
Are your polyhedra the same as my polyhedra?    PDF
Grünbaum, Brunko, 2003
Discrete and comput. geom: the Goodman-Pollack festschrift, ed. Aronov et al. Springer (2003) pp. 461-488.
Allows vertices or faces to coincide in space. Interested in "noble maps" which are face- and vertex-transitive, but not edge-transitive.

S86
Topological chirality of certain molecules
J. Simon, 1986
Topology 25(2), pp. 229-235.

N07
Maps, Hypermaps and Related Topics     PDF
Roman Nedela, 2007.

W79
Operators over regular maps    PDF
Stephen E. Wilson, 1979
Pacific J. Math. Volume 81, No. 2 (1979), 559-568.
Discuses Petrie duals, and maps derived using holes.

J09
A Group Portrait on a Surface of Genus Five    PDF
Jay Zimmerman, 2009
Bridges 2009: Mathematics, Music, Art, Architecture, Culture
.. of a group of order 32.

Web pages

Gerard Westendorp
Platonic tilings of Riemann surfaces
With pictures of genus-2 {5,4}, also genus-3 {8,3}.

Carlo H. Séquin
Patterns on the Genus-3 Klein Quartic
Interesting pictures, but not reliable.

Carlo H. Séquin and Ling Xiao
K₁₂ and the Genus-6 Tiffany Lamp
Describes G6:{3,11} (12 vertices, 44 faces and 66 edges), G3:{3,8}, and G3:{8,3}.

Wikipedia articles

Abstract polytope
Cantellation
Möbius-Kantor graph
Petrie polygon
Regular map
Uniform polyhedron