Regular maps in the series q

GenusNameSchläfliV / F / EmV, mFnotesC&D no.thumbnail
1{3,6}(1,1){3,6}21 / 2 / 36,3Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R1.t1-1
2S2:{6,6}{6,6}22 / 2 / 66,6trivial Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R2.5
4S4:{12,6}{12,6}4h4 / 2 / 123,12Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.9′
5S5:{15,6}10{15,6}105 / 2 / 153,15Faces share vertices with themselves is not a polyhedral map permutes its vertices evenly R5.11′
7S7:{21,6}{21,6}147 / 2 / 213,21Faces share vertices with themselves is not a polyhedral map R7.8′
8S8{24,6}{24,6}8h8 / 2 / 243,24Faces share vertices with themselves is not a polyhedral map R8.6′
10S10:{30,6}{30,6}1010 / 2 / 303,30Faces share vertices with themselves is not a polyhedral map R10.19′
11S11:{33,6}{33,6}2211 / 2 / 333,33Faces share vertices with themselves is not a polyhedral map R11.8′

List of series of regular maps.

Links to individual series:   h   i   j   k   l   m   p   q   s   z  .

Notes

Diagrams of these regular maps use "tadpoles" to portray the surfaces.

For each regular map in this series, the two ends of a tunnel are slightly more, or slightly less, than one third of the way around the ring of tunnel-mouths. If n were divisible by 3, they would have to be exactly one-third of the way around the ring, so the construction does not work for genera divisible by 3.


Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |