Point at infinity complex field, the set of points at infinity is a manifold. In artistic drawing and technical perspective, the projection on the picture plane of the point at infinity of a class of parallel lines is called their vanishing point. In hyperbolic geometry, points at infinity are typically named ideal points. Unlike Euclidean and elliptic geometries, each line has two points at infinity: given a line "l" and a point "P" not on "l", the right- and left-limiting parallels converge asymptotically to different points at infinity. All points at infinity together form the Cayley absolute or boundary of a hyperbolic plane.
The Ideal City (painting) attributed tentatively to Francesco di Giorgio Martini and dated eventually as 1477. "The Ideal City" celebrates the values in a well-ordered society, architecture stands as a metaphor for good government. The illusion of space is achieved using a mathematical perspective system developed in Florence. The receding lines that establish spatial relationships converge at a central point, located in the middle of the city gate. In a scene from the 1995 thriller, "Twelve Monkeys", Bruce Willis' character looks at "The Ideal City" in the Walters Art Museum. "The Ideal City" is one of the paintings available to buy virtually inside the