R24.12′

Statistics

genus c24, orientable
Schläfli formula c{52,26}
V / F / E c 4 / 2 / 52
notes
vertex, face multiplicity c13, 52
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
6th-order holes
6th-order Petrie polygons
8th-order holes
8th-order Petrie polygons
9th-order holes
9th-order Petrie polygons
26, each with 4 edges
4, each with 26 edges
52, each with 2 edges
2, each with 52 edges
26, each with 4 edges
4, each with 26 edges
52, each with 2 edges
4, each with 26 edges
52, each with 2 edges
2, each with 52 edges
26, each with 4 edges
rotational symmetry group104 elements.
full symmetry group208 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑1sr2, r4s‑2rs‑1rs‑17  >
C&D number cR24.12′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R24.12.

Its Petrie dual is R12.2.
Its Petrie dual is R12.2.

It can be 3-split to give R72.13′.

It is its own 3-hole derivative.
It is its own 9-hole derivative.

List of regular maps in orientable genus 24.


Other Regular Maps

General Index