Properties
Its properties are very similar to those of the Peirce quincuncial:
- Each hemisphere is represented as a square, the sphere as a rectangle of aspect ratio 2:1.
- The part where the exaggeration of scale amounts to double that at the centre of each square is only 9% of the area of the sphere, against 13% for the Mercator and 50% for the stereographic (Peirce, 1879)
- The curvature of lines representing great circles is, in every case, very slight, over the greater part of their length. (Peirce, 1879)
- It is conformal everywhere except at the corners of the square that corresponds to each hemisphere, where two meridians change direction abruptly twice each; the Equator is represented by a horizontal line.
- It can be tessellated in all directions.
Read more about this topic: Guyou Hemisphere-in-a-square Projection
Famous quotes containing the word properties:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)