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| genus c | 0, orientable |
| Schläfli formula c | {3,3} |
| V / F / E c | 4 / 4 / 6 |
| notes | 
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| vertex, face multiplicity c | 1, 1 |
| 3, each with 4 edges | |
| antipodal sets | 4 of ( v, f ), 3 of ( 2e, p1 ) |
| rotational symmetry group | A4, with 12 elements |
| full symmetry group | S4, with 24 elements |
| its presentation c | < r, s, t | r2, s2, t2, (rs)3, (st)3, (rt)2 > |
| C&D number c | R0.1 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be 2-split to give
It can be rectified to give
It is the diagonalisation of
It can be pyritified (type 3/3/5/3) to give
Its full shuriken is
List of regular maps in orientable genus 0.
Its skeleton is K4.
This is one of the five "Platonic solids".
| C2×C2 |
| A4 |
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| S4 |
| Orientable | |
| Non-orientable |
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