Dodecahedral cupola
In 4-dimensional geometry, the dodecahedral cupola is a polychoron bounded by a rhombicosidodecahedron, a parallel dodecahedron, connected by 30 triangular prisms, 12 pentagonal prisms, and 20 tetrahe
Spherinder
In four-dimensional geometry, the spherinder, or spherical cylinder or spherical prism, is a geometric object, defined as the Cartesian product of a 3-ball (or solid 2-sphere) of radius r1 and a line
Tesseract
In geometry, a tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of six square faces, the hype
3-sphere
In mathematics, a 3-sphere is a higher-dimensional analogue of a sphere. It may be embedded in 4-dimensional Euclidean space as the set of points equidistant from a fixed central point. Analogous to h
Hypercone
In geometry, a hypercone (or spherical cone) is the figure in the 4-dimensional Euclidean space represented by the equation It is a quadric surface, and is one of the possible 3-manifolds which are 4-
4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. It is a connected and closed figure, composed of lower-dimensional polytopal el
Duocylinder
The duocylinder, also called the double cylinder or the bidisc, is a geometric object embedded in 4-dimensional Euclidean space, defined as the Cartesian product of two disks of respective radii r1 an
Rotations in 4-dimensional Euclidean space
In mathematics, the group of rotations about a fixed point in four-dimensional Euclidean space is denoted SO(4). The name comes from the fact that it is the special orthogonal group of order 4. In thi
Octahedral cupola
In 4-dimensional geometry, the octahedral cupola is a 4-polytope bounded by one octahedron and a parallel rhombicuboctahedron, connected by 20 triangular prisms, and 6 square pyramids.
List of four-dimensional games
This is a list of four-dimensional games—specifically, a list of video games that attempt to represent four-dimensional space.
"—And He Built a Crooked House—"
"'—And He Built a Crooked House—'" is a science fiction short story by American writer Robert A. Heinlein, first published in Astounding Science Fiction in February 1941. It was reprinted in the antho
Clifford torus
In geometric topology, the Clifford torus is the simplest and most symmetric flat embedding of the cartesian product of two circles S1a and S1b (in the same sense that the surface of a cylinder is "fl
Thom conjecture
In mathematics, a smooth algebraic curve in the complex projective plane, of degree , has genus given by the genus–degree formula . The Thom conjecture, named after French mathematician René Thom, sta
Four-dimensional space
A four-dimensional space (4D) is a mathematical extension of the concept of three-dimensional or 3D space. Three-dimensional space is the simplest possible abstraction of the observation that one only