zCirclePencil(...)

Objects derived from the _zCirclePencil abstract class, representing an array of complex circles with determined positions on the complex plane

def zCirclePencil

constructors:
returns:

An instance of an object derived from the _zCirclePencil abstract class, representing an array of complex circles with determined positions on the complex plane

class zCircles

constructors:
  • zCirclePencil(zcircle1,zcircle2)
  • zCircles(zcircle1,zcircle2)
returns:

pencil of complex circle s generated by the given complex circle s, and through the points of intersection of the circles of the generators if the intersection exists (i.e. the pencil is hyperbolic)

site ref:

http://en.wikipedia.org/wiki/User:Pmurray_bigpond.com/Geometry_of_Complex_Numbers

class u_to_zcirclePencil

constructors:
  • zCirclePencil(u_circlepencil)
  • u_to_zcirclePencil(u_circlepencil)
returns:

pencil of circles (inclusive of lines) on the complex plane generated by the stereographic projection of a pencil of spheric sections of the Riemann sphere

site ref:

http://www.uwgb.edu/dutchs/STRUCTGE/stereo1.htm