Regular maps in the series s

GenusNameSchläfliV / F / EmV, mFnotesC&D no.thumbnail
0the edgeless map{0,0}1 / 1 / 00,0Vertices with < 3 edges Faces with < 3 edges is not a polyhedral map trivial permutes its vertices evenly R0.0
1{4,4}(1,0){4,4}21 / 1 / 24,4Faces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R1.s1-0
2S2:{8,8}{8,8}21 / 1 / 48,8Faces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves is not a polyhedral map trivial permutes its vertices evenly R2.6
3S3{12,12}{12,12}21 / 1 / 612,12Faces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R3.12
4S4:{16,16}{16,16}21 / 1 / 816,16Faces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R4.12
5S5:{20,20}{20,20}21 / 1 / 1020,20Faces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R5.16
6S6:{24,24}{24,24}21 / 1 / 1224,24Faces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R6.13

List of series of regular maps.

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


Other Regular Maps

General Index

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