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In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates) are required to determine the position of a point. Most commonly, it is the three-dimensional Euclidean space, that is, the Euclidean space of dimension three, which models physical space.
Hypersurfaces share, with surfaces in a three-dimensional space, the property of being defined by a single implicit equation, at least locally (near every point), and sometimes globally. A hypersurface in a (Euclidean, affine, or projective) space of dimension two is a plane curve. In a space of dimension three, it is a surface.
In geometry, a zonohedron is a convex polyhedron that is centrally symmetric, every face of which is a polygon that is centrally symmetric (a zonogon).Any zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three-dimensional space, or as a three-dimensional projection of a hypercube.
Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. [1] The theoretical basis for descriptive geometry is provided by planar geometric projections.
Tessellation can be extended to three dimensions. Certain polyhedra can be stacked in a regular crystal pattern to fill (or tile) three-dimensional space, including the cube (the only Platonic polyhedron to do so), the rhombic dodecahedron, the truncated octahedron, and triangular, quadrilateral, and hexagonal prisms, among others. [57]
Ceiling of the Treasure Room of the Archaeological Museum of Ferrara, Italy, painted in 1503–1506. Trompe-l'œil (French for 'deceive the eye'; / t r ɒ m p ˈ l ɔɪ / tromp-LOY; French: [tʁɔ̃p lœj] ⓘ) is an artistic term for the highly realistic optical illusion of three-dimensional space and objects on a two-dimensional surface.
In the folding model, hyperspace is a place of higher dimension through which the shape of our three-dimensional space can be distorted to bring distant points close to each other; a common analogy popularized by Robert A. Heinlein's Starman Jones (1953) is that of crumpling two-dimensional paper or cloth in the third dimension, thus bringing ...
Visual space is the experience of space by an aware observer.It is the subjective counterpart of the space of physical objects. There is a long history in philosophy, and later psychology of writings describing visual space, and its relationship to the space of physical objects.