n
(geometry) A type of partial truncation of a polygon, polyhedron or tiling in which alternate vertices are removed.
adj
(obsolete, mathematics) Describing a certain type of hyperbola that has a snakelike form
adj
(mathematics) Relating to a biflecnode
n
(mathematics) A fusion of two triangular prisms.
n
(mathematics) An operation on a regular polytope in which every edge is lost and every face is reduced in size.
n
(mathematics) A particular expression for the area of a quadrilateral.
n
(mathematics) For some number n, the maximum number of regions into which a cube can be partitioned by exactly n planes.
n
(geometry) An operation in any dimension that cuts a regular polytope at its edges and at its vertices, creating a new facet in place of each edge and of each vertex.
n
(geometry) A configuration of 15 lines and 15 points, having three points on each line and three lines through each point, and containing no triangles.
n
(computing) A data structure consisting of a three-dimensional array; a data cube
adj
(geometry) Used in the names of units of volume formed by multiplying a unit of length by itself twice.
n
(mathematics, obsolete) The sixth power of a number.
n
(geometry, computer graphics) For a given set P of discrete points in a plane: a triangulation DT(P) such that no point in P is inside the circumcircle of any triangle in DT(P).
adj
(geometry, of polyhedra) Related such that each edge of one cuts a pair of opposite edges of the other.
n
(computer graphics) An algorithm for generating heightmaps. It starts with a two-dimensional grid and then randomly generates terrain height from four seed values arranged in a grid of points so that the entire plane is covered in squares.
n
(mathematics) The operation of finding a cube having a volume which is double that of a given cube.
adj
(mathematics) Of or pertaining to an ellipse; elliptic.
n
(geometry) The radius of an excircle.
adj
(Category theory) Having the properties common to exact categories and triangulated categories.
n
A geometric magic square: one containing distinct geometric shapes rather than numbers, and where those appearing in each row, column, or diagonal can be fitted together to create an identical target shape.
adj
(geometry) Relating to a set of points that are all equidistant (keeping other coordinates constant) from some constant point.
adj
Having the form of a hyperbola.
n
An n-dimensional box structure that defines a range of points, used in neural network algorithms for classifying objects.
n
(computing) A data cube with more than three dimensions.
n
A geometry in more than three dimensions.
adj
(mathematics) Describing a graph more commonly known as the cocktail party graph
n
(geometry) The side of a right triangle opposite the right angle.
n
(mathematics) Any of a specific set of Hamiltonian quaternions with the same symmetry as the 600-cell.
n
In hyperbolic geometry, a triangle whose vertices are all ideal; i.e. points at infinity, rather than real.
n
Any of a thee-dimensional grid of equally-sized voxels
n
(number theory) By analogy with magic square, an n-by-n-by-n arrangement of n³ numbers such that the numbers in each row, in all columns (horizontal and vertical) and in all main diagonals (of which there are 6*n+4) each have the same sum.
n
(computer graphics) A multidimensional fractal with a box-like shape, defined in a similar way to the Mandelbrot set.
n
(computer graphics) An algorithm for extracting a polygonal mesh of an isosurface from a three-dimensional scalar field.
n
(mathematics) A fractal curve, a three-dimensional generalization of the Cantor set and Sierpinski carpet, formed by repeated subdivision of a cube, and having infinite surface area and zero volume.
n
(computer graphics) A polygon mesh.
n
(computing) A kind of computer architecture derived from the hypercube and intended for use with large-scale parallel systems.
n
(geometry) A result in geometry concerning the intersection of three circles, each drawn through one vertex of a triangle and two points on its adjacent sides.
n
(geometry) The polyomino made up of one square.
n
(geometry) A regular skew apeirohedron with six squares around each vertex, formed by an infinite number of cubic cells (specifically, cubes missing two opposite faces each, around cubic empty spaces with no faces) in Euclidean 3D space.
n
(computer graphics) A collection of polygons treated as a single object.
n
(geometry) Any set of polygons joined edge to edge that, when folded along the edges between adjoining polygons so that the outer edges touch, form a given polyhedron.
n
(mathematics) A quantic of the eighth degree.
n
(geometry) The generalization of a rectangle for higher dimensions, formally defined as the Cartesian product of intervals.
n
(mathematics) A surface having a parabolic cross section parallel to an axis, and circular or elliptical cross section perpendicular to the axis; especially the surface of revolution of a parabola.
n
(geometry) A family of geometric objects with a common property, such as the set of lines that pass through a given point in a projective plane.
n
(mathematics) An integer that is the product of three instances of another integer; equivalently, it is the product of an integer and its square.
n
(chiefly computer graphics) Polygon.
n
(mathematics) polychoron
n
(computer graphics) The total number of polygons found in a three-dimensional model.
n
(mathematics) A planar countably locally-finite graph in which all interior vertices have the maximum vertex degree and all interior faces are polygons with the same number of faces.
n
(geometry) A plane or solid figure constructed by joining together identical polygons edge to edge.
n
A figure consisting of many lines.
n
(mathematics) A polyform constructed from quadrilaterals obtained from the superimposition of a triangular and hexagonal grid.
n
(mathematics) An object, similar to a polyomino, made by attaching squares joined at their edges or corners
n
(mathematics) a polyomino
adj
Of or pertaining to a polytope
n
(geometry) Any of the minimal set of non-congruent shapes from which a larger set of shapes, some of which may be congruent, can be produced.
n
Alternative form of Pythagorean theorem [(geometry) A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides.]
n
(mathematics) A triad of whole numbers proportional to the sides of a right-angled triangle, such as 3, 4, 5.
n
(mathematics, obsolete) A quadratic criticoid.
n
(physics) Synonym of four-vector
adj
(geometry, of a polyhedron) Whose faces are all congruent regular polygons, equally inclined to each other.
n
(mathematics) a tessellation of Euclidean space into congruent rectangles, parallelograms, cuboids, or more generally, parallelotopes
n
(geometry) A tessellation of the plane by a convex regular polygon.
adj
(mathematics, of a polytope) Having the vertices of a runcinated polytope.
n
(mathematics) The simultaneous cutting of a regular polytope along its faces, edges, and vertices.
n
(geometry) A projection of a polytope from n-dimensional space to n-1 dimensions through a point beyond one of its faces; especially such a projection (itself represented in 2 dimensions) of a 3- or 4-dimensional polytope.
n
(geometry) A configuration of 30 points and 12 lines. The lines can be partitioned into two subsets of six: each line is disjoint from (skew with) the lines in its own subset of six lines, and intersects all but one of the lines in the other subset of six lines. Each of the 12 lines of the configuration contains five intersection points, and each of these 30 intersection points belongs to exactly two lines, one from each subset.
n
(geometry) A notation that recursively encodes certain properties of a specified regular polytope or tessellation.
adj
(geometry, of a polyhedron or tessellation of the plane) Uniform (isogonal and isotoxal) with regular faces of two or more types, such that each vertex is surrounded by the same polygons in the same order.
n
(mathematics) The three-dimensional extension of the Sierpinski carpet.
n
(geometry, algebraic topology) An analogue in a space of arbitrary dimensionality of the triangle or tetrahedron; the convex hull of n+1 linearly independent points in n-dimensional space; in other words, the triangle, tetrahedron etc., generalized to an arbitrary number of dimensions.
n
(mathematics) A matrix having the same number of rows as columns.
n
(mathematics, rare) An analogue of the square or cube in arbitrary dimension: 0,1ⁿ along with the (n-1)-dimensional balls joining every 2ⁿ⁻¹ such points that share a coordinate, or any space equivalent.
n
(mathematics, engineering) A function or waveform that alternately ramps linearly upwards and then downwards.
n
(mathematics, of a polynomial) The condition of being cubic
n
(geometry) A plane curve defined, in its left-opening form, by the polar equation r=a sec ³(𝜃/3) where sec is the secant function.
n
(mathematics) A square tile with a colour on each side. Possible sets of such tiles are studied to determine whether they can tile the plane (arranged with like colours touching, and without rotations or reflections) and whether this can be done in a periodic pattern.
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