A theorem on nonexistence of a certain type of nearly regular cell-decompositions of the sphere.
(English).Časopis pro pěstování matematiky,
vol. 103
(1978),
issue 4,
pp. 333-338
[1 ] D. W. Crowe: Nearly regular polyhedra with two exceptional faces. Lecture Notes in Mathematics, 110 (1969), 63-76. MR 0256928 | Zbl 0185.48504
[2] B. Grünbaum: Convex Polytopes. Interscience 1967. MR 0226496
[3] M. Horňák, E. Jucovič. : Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells. Math. Slov. 27 (1977), 73-89. MR 0461511
[4] J. Malkevitch: Properties of planar graphs with uniform vertex and face structure. Mem. Amer. Math. Soc. 99 (1970). MR 0260616 | Zbl 0196.27203