Other regular maps on the genus-3 oriented surface.
Index to other pages on regular maps.
Some pages on groups
Copyright N.S.Wedd 2009,2010
This genus-3 regular map has 16 triangular faces, 4 vertices and 24 edges.
Its dual is {12,3}.
Its Petrie polygons have eight edges. Its holes have 12 edges. Its 2nd-order Petrie polygons have eight edges. Its 3rd-order holes have two edges. Its 3nd-order Petrie polygons have eight edges. Its 4th-order holes have 12 edges. Its 4th-order Petrie polygons have eight edges. Its 5th-order holes have six edges. Its 5th-order Petrie polygons have eight edges. Its 6th-order holes have two edges.
Its Petrie dual is S5{8,12}.
Its rotational symmetry group is GL(2,3).
Other regular maps on the genus-3 oriented surface.
Index to other pages on regular maps.
Some pages on groups
Copyright N.S.Wedd 2009,2010
The figure shown and described to the right and below is not a regular map. If we look for cycles of four faces, each bordering its two neighbours in the cycle, we find exactly three such cycles. The four remaining faces are not members of any such cycle.
Its Petrie polygons have 12 edges.
The figure shown and described to the right is also not a regular map.
Some of its Petrie polygons have four edges, some have six.