2D computer graphics endowed with a self-rendering method—a procedure which assigns colors to the image pixels by an arbitrary algorithm. Complex models can be built by combining simpler objects, in the paradigms of object-oriented programming. In Euclidean geometry, a translation moves every point a constant distance in a specified direction. A translation can be described as a rigid motion: other rigid motions include rotations and reflections. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. A translation operator is an operator formula_1 such that formula_2 If v
Hypercycle (geometry) the hypercycle. The segments of the normal between the "axis", and the hypercycle are called the "radii". Their common length is called the "distance" or "radius" of the hypercycle. The hypercycles through a given point that share a tangent through that point converge towards a horocycle as their distances go towards infinity. Hypercycles in hyperbolic geometry have some properties similar to those of lines in Euclidean geometry: Hypercycles in hyperbolic geometry have some properties similar to those of circles in Euclidean geometry: In the hyperbolic plane of constant curvature −1, the length of an arc of a hypercycle can be