# Stereographic ProjectionΒΆ

A conformal projection. The green shapes drawn on the map are equal-area circles on the surface of the earth. Known as “Tissot’s indicatrix”, they can be used to show the angular and areal distortion of a map projection. On a conformal projection, the shape of the circles is preserved, but the area is not. On a equal-area projection, the area is preserved but the shape is not.

```from mpl_toolkits.basemap import Basemap
import numpy as np
import matplotlib.pyplot as plt
# setup stereographic basemap.
# lat_ts is latitude of true scale.
# lon_0,lat_0 is central point.
m = Basemap(width=12000000,height=8000000,
resolution='l',projection='stere',\
lat_ts=50,lat_0=50,lon_0=-107.)
m.drawcoastlines()
m.fillcontinents(color='coral',lake_color='aqua')
# draw parallels and meridians.
m.drawparallels(np.arange(-80.,81.,20.))
m.drawmeridians(np.arange(-180.,181.,20.))
m.drawmapboundary(fill_color='aqua')
# draw tissot's indicatrix to show distortion.
ax = plt.gca()
for y in np.linspace(m.ymax/20,19*m.ymax/20,9):
for x in np.linspace(m.xmax/20,19*m.xmax/20,12):
lon, lat = m(x,y,inverse=True)
poly = m.tissot(lon,lat,1.5,100,\
facecolor='green',zorder=10,alpha=0.5)
plt.title("Stereographic Projection")
plt.show()
```