n
(geometry) A four-dimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.
n
(geometry) A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra.
n
(mathematics, geometry) A type of generalised polygon with a countably infinite number of sides and vertices;
n
(mathematics, geometry) A polyhedron with an infinite number of faces.
n
(geometry) A generalized polytope having infinitely many facets.
n
(mathematics) A fractal generated from triples of circles, where each circle is tangent to the other two.
n
(geometry) The three-dimensional shape swept by revolving an isosceles triangle around its edge of unequal length, or by joining two identical right circular cones, base to base.
n
(mathematics) The conversion of a polyhedron into a stellated polyhedron by raising a pyramid on each face.
n
(geometry, rare) A polygon with a thousand vertices and a thousand edges.
n
(geometry) A regular polyhedron having six identical square faces.
n
(geometry) An irregular prism that is square at one end but circular at the other
n
(geometry) A parallelepiped having six rectangular faces.
n
(geometry) A solid formed by joining two polygons, one (the base) with twice as many edges as the other, by an alternating band of isosceles triangles and rectangles.
n
(geometry) Any of a class of n-polytopes constructed from alternation of an n-hypercube.
n
(geometry) A polygon having two edges and two vertices.
n
(group theory) a group of symmetries of a regular polygon
n
(mathematics) Any of a class of solids formed from two pyramids placed symmetrically base to base.
n
(geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
n
(mathematics) Either of a pair of polyhedra in which the faces of one are equivalent to the vertices of the other.
n
(geometry) A polytope resulting from the Cartesian product of two polytopes.
adj
(of a polyhedron) Having been modified by placing a prism in the middle of the polyhedron.
n
(mathematics) A mathematical formula relating the vertices, edges and faces of a polyhedron: V-E+F=2
n
(geometry) A three-dimensional generalization of a golygon.
n
(geometry) A regular star 4-polytope with Schläfli symbol {3,3,5/2}
adj
(of a polyhedron) Having been elongated by placing an antiprism in the middle of the polyhedron.
n
(geometry) An abstract regular polyhedron containing half the faces of a cube.
n
(geometry) A polyomino made up of seven squares.
n
(geometry) A geometric figure in four or more dimensions, which is analogous to a cube in three dimensions. Specifically, the n-dimensional equivalent of a cube for any non-negative integer n.
adj
Of, pertaining to, or having the form of a hypercube
n
(geometry) An analogue of a cuboid in four or more dimensions
adj
(mathematics) Describing a group that can be realized as the group of symmetries of a hypercube or hyperoctahedron.
n
(mathematics) An icosahedral grid
n
A polygon with an infinite number of sides.
n
(geometry) a solid that is like a prism but whose cross section is not (necessarily) a polygon
adj
(geometry) Describing a polyhedron or a tiling all of whose faces are the same.
n
(geometry) Any of a class of convex polyhedra that have regular faces but are not uniform (that is, not Platonic solids, Archimedean solids, prisms, or antiprisms).
n
(geometry) A one-dimensional object comprising one vertex and one (not necessarily straight) edge both of whose ends are that vertex.
n
(geometry) A polyomino made up of n squares.
adj
(geometry) Shaped like an octagon, in having eight sides and eight angles.
n
(mathematics) An 8-dimensional nonassociative extension of a quaternion with 1 real part and 7 imaginary parts that are each a square root of -1.
n
(geometry) A solid figure, having six faces, all parallelograms, all opposite faces being similar and parallel.
n
Alternative form of parallelepiped [(geometry) A solid figure, having six faces, all parallelograms, all opposite faces being similar and parallel.]
n
(mathematics) A number in the fifth cell of any row of Pascal's triangle starting with the 5-term row 1 4 6 4 1 either from left to right or from right to left.
n
Alternative form of permutohedron [(mathematics) An polytope with n-1 dimensions that is embedded in an n-dimensional space, its vertices formed by permuting the coordinates of the vector (1, 2, 3, ..., n).]
n
(geometry) Any of five convex polyhedra with congruent regular polygonal faces, which have a high degree of symmetry and have been studied since antiquity.
n
(geometry) A special kind of space-filling polyhedron, defined as the Voronoi cell of a symmetric Delone set. Three-dimensional Euclidean space can be completely filled by copies of any one of these shapes, with no overlaps.
n
(geometry) A polyform made by joining right isosceles triangles edge to edge in various arrangements.
n
(geometry) A solid having many summits or angular points; a polyhedron.
adj
Obsolete spelling of polyhedric [Polyhedral; many-sided.]
n
(mathematics) A pattern constructed from a polyhex by removing half of each hexagon such that they remain connected
adj
(mathematics, geometry) Of, pertaining to or derived from a polyhedron.
adj
Alternative form of polyhedral [(mathematics, geometry) Of, pertaining to or derived from a polyhedron.]
n
(geometry) The measurement of polyhedra.
n
(geometry) A polyform made by joining one or more regular hexagons edge to edge in various arrangements.
n
(geometry) A polyform made by joining one or more equilateral triangles edge to edge in various arrangements. Every polyiamond corresponds to a polyhex,
n
(geometry) A finite region of n-dimensional space bounded by hyperplanes (a geometric shape with flat sides, existing in any number of dimensions); the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, ...".
n
(geometry) A polyhedron with parallel ends of the same size and shape, the other faces being parallelogram-shaped sides.
n
(mathematics) Any polyhedron whose vertices all lie in either of two parallel planes
n
(geometry) A solid with triangular lateral faces and a polygonal (often square or rectangular) base.
adj
(geometry) Derived from a simpler, regular polyhedron by the addition of extra triangular faces in the back.
n
(mathematics) Either of two concave polyhedra: the great rhombihexahedron and the small rhombihexahedron.
adj
(mathematics, of a polyhedron) Derived from a simpler polyhedron by the addition of extra triangular faces.
n
(geometry) An Archimedean solid with thirty-eight faces, of which six are squares (no two of which share a vertex) and thirty-two are equilateral triangles.
n
(mathematics) The intersection of the cone of positive semidefinite matrices with an affine-linear space
n
(geometry) A polyhedron that is partially nonconvex.
n
(mathematics) The construction of a stellated polyhedron (or other polytope) by extending edges or planes.
n
A polycube composed of four cubes.
n
(geometry) A polyomino made up of four squares connected edge to edge.
n
(geometry) A polygon with thirty-two sides and thirty-two angles.
n
A polycube composed of three cubes.
n
(mathematics) A 32-dimensional hypercomplex number that is a nonassociative extension of a sedenion.
adj
(mathematics, of a polyhedron) stable when resting on one of its faces
n
Any of the cells in a Voronoi diagram.
n
(geometry) A circle visualized as a polygon having no edges or vertices.
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