Clusters are generalised constraints on sets of points in R^n. Cluster
types are Rigids, Hedgehogs and Balloons.

Classes
		Angle Distance geosolver.multimethod.MultiVariable Cluster Balloon Hedgehog Rigid   class Angle     A Angle represents a known angle     Methods defined here: __eq__(self, other) __hash__(self) __init__(self, a, b, c) Create a new Angle   keyword args:  a - point variable  b - point variable  c - point variable __str__(self)   class Balloon(Cluster)     A Balloon (or ScalableCluster) is set of points that is  invariant to rotation, translation and scaling.     Method resolution order: Balloon Cluster geosolver.multimethod.MultiVariable Methods defined here: __init__(self, variables) Create a new balloon   keyword args:  vars - collection of PointVar's __str__(self) copy(self) Methods inherited from Cluster: intersection(self, other) Methods inherited from geosolver.multimethod.MultiVariable: __repr__(self)   class Cluster(geosolver.multimethod.MultiVariable)     A set of points, satisfying some constaint     Methods defined here: intersection(self, other) Methods inherited from geosolver.multimethod.MultiVariable: __init__(self, name=None) __repr__(self) __str__(self)   class Distance     A Distance represents a known distance     Methods defined here: __eq__(self, other) __hash__(self) __init__(self, a, b) Create a new Distance   keyword args:  a - point variable  b - point variable __str__(self)   class Hedgehog(Cluster)     An Hedgehog (or AngleCluster) represents a set of points (M,X1...XN)  where all angles a(Xi,M,Xj) are known.     Method resolution order: Hedgehog Cluster geosolver.multimethod.MultiVariable Methods defined here: __init__(self, cvar, xvars) Create a new hedgehog   keyword args:  cvar - center variable   xvars - list of variables __str__(self) copy(self) Methods inherited from Cluster: intersection(self, other) Methods inherited from geosolver.multimethod.MultiVariable: __repr__(self)   class Rigid(Cluster)     A Rigid (or RigidCluster) represent a cluster of points variables  that forms a rigid body.     Method resolution order: Rigid Cluster geosolver.multimethod.MultiVariable Methods defined here: __init__(self, vars) Create a new cluster   keyword args:  vars - list of variables __str__(self) copy(self) Methods inherited from Cluster: intersection(self, other) Methods inherited from geosolver.multimethod.MultiVariable: __repr__(self)

Functions
		binomial(n, k) num_angles(cluster) num_constraints(cluster) num_distances(cluster) over_angles(c1, c2) over_angles_bb(b1, b2) over_angles_bh(balloon, hog) over_angles_cb(cluster, balloon) over_angles_ch(cluster, hog) over_angles_hh(hog1, hog2) over_constraints(c1, c2) returns the over-constraints (duplicate distances and angles) for a pair of clusters (rigid, angle or scalable). over_distances(c1, c2) determine set of distances in c1 and c2 test()