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A modular form which is not allowed to have poles in the upper half-plane H or at iinfty.

A plane curve of the form y=x^n. For n>0, the curve is a generalized parabola; for n<0 it is a generalized hyperbola.

An origami configuration that can be pressed to a plane figure without crumpling it or adding new creases.

Two unit-speed plane curves which have the same curvature differ only by a Euclidean motion.

The problem of deciding if four colors are sufficient to color any map on a plane or sphere.

The axis in the complex plane corresponding to zero real part, R[z]=0.

The intercept form of a line in the Cartesian plane with x-intercept a and y-intercept b is given by x/a+y/b=1.

Given a convex plane region with area A and perimeter p, then |N-A|<p, where N is the number of enclosed lattice points.

An algorithm which isolates roots in the complex plane by generalizing one-dimensional bracketing.

The unit lower half-disk is the portion of the complex plane satisfying {|z|<=1,I[z]<0}.