The quasi-Klein map

Statistics

genus c3, orientable
Schläfli formula c{7,3}
V / F / E c 84 / 56+24 / 168
notesThis is not a regular map, it has faces of two kinds (it is quasiregular).
replete  
rotational symmetry groupPSL(2,7), with 168 elements
full symmetry groupSL(2,7), with 336 elements
its presentation c< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r‑7, (sr‑2)4 >

Relations to other Regular Maps

It is the result of rectifying the Klein map.
It is the result of rectifying the dual Klein map.

List of regular maps in orientable genus 3.


Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd