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If an infinite number of points in the plane are all separated by integer distances, then all the points lie on a straight line.

The function f(beta,z)|->z^((1+cosbeta+isinbeta)/2), illustrated above for beta=0.4.

The two-dimensional Euclidean space denoted R^2.

An arbitrary rotation may be described by only three parameters.

When referring to a planar object, "fixed" means that the object is regarded as fixed in the plane so that it may not be picked up and flipped. As a result, mirror images are ...

A map x|->x^p where p is a prime.

The geodesics on a general cylinder generated by lines parallel to a line l with which the tangent makes a constant angle.

dtau^2=-eta_(alphabeta)dxi^alphadxi^beta, or (d^2xi^alpha)/(dtau^2)=0.

Objects which are identical except for a mirror reflection are said to display handedness and to be chiral.

A curve created by starting with a circle, dividing it into six arcs, and flipping three alternating arcs. The process is then repeated an infinite number of times.