Lady Flinders Petrie

Petrie-Coxeter Maps Revisited

This paper presents a technique for constructing new chiral or regular polyhedra (or maps) from self-dual abstract chiral polytopes of rank 4. From improperly self-dual chiral polytopes we derive “Petrie-Coxeter-type” polyhedra (abstract chiral analogues of the classical Petrie-Coxeter polyhedra) and investigate their groups of automorphisms.

Coxeter-Petrie Complexes of Regular Maps

Coxeter-Petrie complexes naturally arise as thin diagram geometries whose rankthree residues contain all of the dual forms of a regular algebraic mapM. Corresponding to an algebraic map is its classical dual, which is obtained simply by interchanging the vertices and faces, as well as its Petrie dual, which comes about by replacing the faces by the so-called Petrie polygons. G. A. Jones and J. ...

Petrie Duality and the Anstee-Robertson Graph

We define the operation of Petrie duality for maps, describing its general properties both geometrically and algebraically. We give a number of examples and applications, including the construction of a pair of regular maps, one orientable of genus 17, the other non-orientable of genus 52, which embed the 40-vertex cage of valency 6 and girth 5 discovered independently by Robertson and Anstee. ...

The Lady Almoner

j'HOUSANDS of patients pass through the doors of a great hospital every year, and not all are ln-patients. Many receive advice and treatment ^hich can be carried out at home, and in every hospital the out-patient department is very important. Long hours are devoted by skilled physicians and surgeons to the treatment of out-patients, but having given their help, what is impossible to the medical...

The Hon. Lady Darwin