There are three states of the map: an undated proof, lacking the names of the continents; the present issue known in only three examples; and eight examples of a later state, dated 1686. These latter include three institutional examples, one at the National Library of Australia, another in the New York Public Library, bound into a Samuel Thornton sea atlas, and a cropped example at the British Library.

’s map is possibly the earliest world map engraved and published in England to include a pair of polar projections and is one of the earliest to show the coastline of New Zealand. The cartography, drawn from contemporary Dutch sources, shows California as an island while Australia is described as ‘Hollandia Nova’. The conjectural east coast of Australia remains blank, as is the Northwest part of America. 

Greene's map is notable for its unusual iconography in the borders. Perhaps most interesting are the four scenes representing methods of hunting on each of the four continents, including a cannibalism scene in America and a Centaur in Asia. The four corners of the map are further embellished with male and female royal figures representing the four continents, an unusual deviation from the normal female allegorical images of the continents employed by most other mapmakers.

 (fl. 1673–1688) was apprenticed to John Garrett in 1652 and made free in 1659 just prior to the restoration of Charles II. His family appears to have come from Stalbridge, Dorset. His earliest publications were maps of England and Germany in 1673, published in association with the likes of Robert Morden, John Seller, and Arthur Tooker. Indeed, many of the works which bear his name appear to involve partners, although he owned his own ‘presses to Print'. 

This separately issued map of the world was first advertised in the ‘London Gazette’ for 17–20 April 1676, as "done by the best Observations and the latest Discoveries that hath been made with the North Poler Draught, and the South Poler Draught, in one large Imperial sheet of Paper. Price 1s … Sold by Rob. Greene at the Rose and Crown in Budge-row, Anne Underwood on the North-side of the Royal Exchange going up the stairs, and Arthur Tooker against Ivy Bridge in the Strand".

This rare English double-hemisphere world map was published in London by 

. In a time when most decorative world maps were copied from one or two Dutch models, Greene's map stands out for its unusual iconography. Perhaps most interesting are the four scenes representing methods of hunting on each of the four continents, including a Cannibalism scene in America and a Centaur in Asia. The four corners of the map are further embellished with male and female royal figures representing the four continents, an unusual deviation from the normal female allegorical images of the continents employed by most other mapmakers. 

Greene's cartography is drawn from contemporary Dutch sources. California is shown as an island, the east coast of Australia is still uncharted, as is the Northwest part of America. Green's map is quite possibly the earliest world map engraved and published in England to include a set of polar hemispheric projections. It is also one of the earliest world maps published in England to show the coastline of New Zealand.

First published issue of an extremely rare 17th century double hemisphere world map, known in only three examples; and the earliest world map engraved and published in England to include a pair of polar projections, and is one of the earliest to show the coastline of New Zealand.

Double-page engraved copperplate double-hemisphere map of the world, with contemporary hand-colour in outline.

Greene's World Map with Polar Projections