n
(geometry) A four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra.
n
(geometry) A four-dimensional polytope, analogous to an octahedron, whose sixteen bounding facets are tetrahedra.
n
(geometry) A four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no three-dimensional analogue.
n
(geometry) A four-dimensional polytope.
n
(geometry) A four-dimensional polytope, analogous to a cube, whose eight bounding facets are cubes; a tesseract.
n
(mathematics, physics) Synonym of octad
n
A crystal characterized by being bound by 48 equal triangles; a hexoctahedron.
n
A polyhedron composed of two parallel copies of some particular polygon, connected by an alternating band of triangles.
n
(mathematics) A convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of n letters and the edges correspond to a single application of the associativity rule.
n
(geometry) A polyhedron, one of the Johnson solids, whose faces are composed of 16 equilateral triangles and one square.
n
(geometry) A linear stacking of regular tetrahedra, arranged so that the edges of the complex that belong to only one tetrahedron form three intertwined helices.
n
(geometry) A nonplanar hexagon whose three diagonals meet.
n
(geometry) The dual polyhedron of any Archimedean solid.
n
(geometry) A polyhedron bounded by one thousand plane surfaces.
n
Rare spelling of chiliahedron. [(geometry) A polyhedron bounded by one thousand plane surfaces.]
n
(geometry) Either of two star polyhedra whose square faces are parallel to a square and whose triangular faces are parallel to those of an octahedron
adj
Having the form, or the symmetry, of a cuboctahedron
n
(geometry) An Archimedean solid that has fourteen faces (eight triangular and six square) and is both isogonal and isotoxal.
n
(geometry) A faceted form of the cuboctahedron.
n
(crystallography) A combination of a cube and octahedron, especially one in which the octahedral faces meet at the middle of the cubic edges.
n
(geometry) A certain (n−1)-dimensional polytope that is useful in studying knot invariants.
n
A polyhedron with ten faces.
n
(geometry) A polyhedron whose faces are all equilateral triangles.
n
The dual polyhedron of a regular n-sided antiprism.
n
(geometry) A convex polyhedron that has 24 congruent kite-shaped faces and 48 edges and is a Catalan solid, being the dual polyhedron of the rhombicuboctahedron.
n
(geometry) A solid with 24 faces consisting of scalene triangles.
n
An isohedral polyhedron, usually a cube, with numbers or symbols on each side and used in games of chance.
n
(mathematics) A polyhedron having two faces
adj
Having twelve similar faces.
n
A six-sided prism having three planes on the extremities.
n
A nonconvex uniform polyhedron with 40 triangles, 60 squares, and 24 pentagrams.
n
(geometry) A non-regular tetrahedron whose four faces are congruent acute-angled triangles.
adj
Having the form of a dodecadodecahedron.
n
(geometry) A nonconvex polyhedron with twenty-four faces, thirty vertices, and sixty edges.
n
Alternative spelling of dodecahedron [(geometry) A polyhedron with twelve faces; the regular dodecahedron has regular pentagons as faces and is one of the Platonic solids.]
n
(geometry) A polyhedron with twelve faces; the regular dodecahedron has regular pentagons as faces and is one of the Platonic solids.
n
A polyhedron with 12 pentagrams and 10 hexagons totaling to 22 faces, 60 edges, and 30 vertices.
n
A uniform polyhedron with 44 faces, 120 edges, and 60 vertices.
n
Alternative form of dodecagon [(geometry) A polygon with twelve edges and twelve angles.]
adj
Alternative form of dodecahedral [Having twelve plane surfaces.]
n
Alternative form of dodecahedron [(geometry) A polyhedron with twelve faces; the regular dodecahedron has regular pentagons as faces and is one of the Platonic solids.]
n
Obsolete form of icosahedron. [(geometry) A polyhedron with twenty faces.]
adj
Having the form of an enneacontahedron.
n
A polyhedron with 90 faces.
n
(geometry) A polyhedron with nineteen faces.
n
(geometry) A polyhedron with nine faces.
n
A dodecahedral form of a garnet
n
(geometry) A nonconvex uniform polyhedron that has faces of eight triangles, six squares and six octagrams
n
(geometry) A Kepler-Poinsot polyhedron, with Schläfli symbol {5,5/2}.
n
(geometry) One of four Kepler-Poinsot polyhedra with Schläfli symbol {3,5⁄2}.
n
(geometry) A polyhedron having 26 faces, 30 vertices, 60 edges, six self-intersected faces, and six nonconvex faces.
n
(geometry) An Archimedean solid that is isogonal and has twenty-six regular faces (twelve square, eight hexagonal and six octagonal).
n
A polyhedral solid formed by joining two face-regular triangular prisms along corresponding square faces, giving a quarter-turn to one prism. It is noted for being one of the few regular polyhedra that packs in three dimensions.
n
(mathematics) One of the Johnson solids, having 18 triangular and 3 square faces
n
(mathematics) A four-dimensional object analogous to a dodecahedron, constructed out of one hundred and twenty dodecahedra, arranged 4 to a vertex.
n
A polygon with 100 edges, vertices, and angles.
n
A polyhedron containing 10 triangular faces, 15 edges, and 6 vertices.
n
Alternative form of hemi-icosahedron [A polyhedron containing 10 triangular faces, 15 edges, and 6 vertices.]
n
(rare) A half of a hexakisoctahedron.
n
(geometry) A solid having eleven plane faces
n
(geometry) A polyhedron with seventeen faces.
n
(mathematics) any polyhedron having seven faces
n
A polyhex composed of seven hexagons
n
Synonym of heptadecahedron
n
(mathematics) A seven-dimensional hypercube
n
A bundle of many optical fibre cores, each one surrounded by six (or seven) others
n
(mathematics) A four-dimensional object analogous to an icosahedron, constructed out of six hundred tetrahedra, arranged 20 to a vertex.
n
(mathematics) A four-dimensional object analogous to an octahedron, constructed out of sixteen tetrahedra.
n
(geometry) The 16-cell or hexadecachoron.
n
(geometry) A polyhedron with sixteen faces.
n
(obsolete) Alternative spelling of hexahedron [(geometry) A polyhedron with six faces. The regular hexahedron is the cube, and is one of the Platonic solids.]
n
(geometry) any prism, an octahedron, constructed on a hexagonal base
n
A hollow six-pointed star formed by overlapping two equilateral triangles.
adj
Having six plane surfaces.
n
A polyhex composed of six hexagons
n
A hexagonal flexagon with a total of six faces.
n
Synonym of hexadecahedron
n
A three-dimensional solid with 48 faces arranged around 9 planes of reflection and 13 rotary axes.
n
Alternative form of hexoctahedron [(geometry) A solid with forty-eight equal triangular faces.]
n
(cystallography) Such a crystal that has 24 faces
n
(mathematics) A 60-faced polyhedron.
n
(mathematics) A six-dimensional hypercube
n
(geometry) A polyiamond made up of six triangles.
n
(geometry) A solid with forty-eight equal triangular faces.
adj
Having the form of a hextetrahedron.
n
Alternative form of hexatetrahedron [(geometry) A cube truncated by two tetrahedra]
n
(geometry) A polyhedron with a finite number of faces and with a polygonal hole in every face, the holes' boundaries sharing no point with each other or the face's boundary.
n
(geometry) A tessellation of lunes on a spherical surface, such that each lune shares the same two vertices.
n
(mathematics) A hyperbolic version of the Euclidean dodecahedron.
adv
(mathematics) With regard to a hyperoctahedron
n
(mathematics) Synonym of 16-cell
n
(geometry) An analog of a tetrahedron that extends into hyperspace, having more than three dimensions.
n
Alternative spelling of icosahedron [(geometry) A polyhedron with twenty faces.]
n
Obsolete form of icosahedron. [(geometry) A polyhedron with twenty faces.]
n
(geometry) A polyhedron with twenty faces.
n
(geometry) A geometric figure with twenty or more triangular faces producing a semi-spherical solid.
n
a polyhedron having 44 faces, 60 vertices, 120 edges, 12 self intersected faces and 12 nonconvex faces
n
An Archimedean solid with thirty-two regular faces (twelve pentagons and twenty triangles).
n
(geometry) A polygon with twenty-one edges and twenty-one angles.
n
(mathematics) A four-dimensional object with no regular three-dimensional analogue, constructed out of twenty-four octahedra.
n
(mathematics) Any of several solids having twenty-four faces.
n
(algebraic geometry) A kind of p-adic analogue of a sheaf.
n
(geometry) Any isohedral polyhedron.
n
(geometry) A flexible polyhedron connecting six tetrahedra (or disphenoids) on opposite edges into a cycle.
n
(geometry) Any of several nonconvex regular polyhedra with regular pentagrammatic faces or vertex figures and which can be obtained by stellation of the dodecahedron or icosahedron.
n
(geometry) Synonym of Kepler solid
n
(geometry) A cyclic hexagon with vertices given by the six intersections of the edges of a triangle and the three lines that are parallel to the edges that pass through its symmedian point.
n
(rare) An irregular grouping of hexagons indicating a single area on hexagon-based game map.
n
A puzzle similar to a Rubik's Cube but shaped like a dodecahedron
n
(geometry) The polyiamond made up of a single triangle.
n
(geometry) A two-dimensional object comprising one vertex, one edge both of whose ends are that vertex, and one face filling in the hollow formed by that edge.
n
A polyhex composed of a single hexagon
n
(geometry) A regular skew apeirohedron with four hexagons around each vertex, formed by an infinite number of octahedron-like cells (specifically, truncated octahedra missing their square faces, and joined by the resulting square-shaped holes) in Euclidean 3D space.
n
(geometry) A regular skew apeirohedron with six hexagons around each vertex, formed by an infinite number of truncated tetrahedron-like cells (specifically, truncated tetrahedra missing their triangle faces, with the resulting triangle-shaped holes joined to form empty spaces in the shape of faceless tetrahedra) in Euclidean 3D space.
n
(geometry) For a building set B, the Minkowski sum of the simplicies Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron.
n
(mathematics) Any of the 2,606 topologically distinct convex polyhedra that have nine faces.
n
(mathematics) A four-dimensional object analogous to a cube, constructed out of eight cubes.
adj
In the form of an octadecahedron.
n
(geometry) A polyhedron with eighteen faces.
n
Alternative spelling of octahedron [(geometry) a polyhedron with eight faces; the regular octahedron has regular triangles as faces and is one of the Platonic solids.]
adj
Having eight plane surfaces; thus, in the shape or form of an octahedron.
n
The state or condition of being octahedral.
n
(geometry) a polyhedron with eight faces; the regular octahedron has regular triangles as faces and is one of the Platonic solids.
n
Synonym of octadecahedron
n
(geometry, rare) A polyhedron with 48 faces.
n
(mathematics) An eight-dimensional hypercube
n
(geometry) A polyiamond made up of eight triangles.
adj
(crystals) Having eighteen faces.
n
Alternative form of octahedron [(geometry) a polyhedron with eight faces; the regular octahedron has regular triangles as faces and is one of the Platonic solids.]
n
(mathematics) A figure, somewhat like a cube but with two square faces and four rectangular faces
n
(geometry) A convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions).
n
A tetrahedron with three pairs of faces at right angles to one another.
n
(geometry) A polyhedron that can tessellate three-dimensional spaces with face-to-face contacts via translations.
n
(mathematics) A four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra.
n
(mathematics) A four-dimensional polytope that has 57 cells
n
(mathematics) A polycube composed of five cubes
adj
In the form of a pentadecahedron.
n
(geometry) A polyhedron with fifteen faces.
n
a regular dodecahedron having twelve pentagonal faces
n
(mathematics) A fractal formed by arranging clusters of pentagons around a central pentagon
n
A solid geometric figure with five faces.
n
A polyhex composed of five hexagons
adj
In the form of a pentakaidecahedron.
n
Synonym of pentadecahedron
n
(mathematics) A Catalan solid equivalent to a dodecahedron with a pentagonal pyramid covering each face
n
(geometry) Synonym of pentahedron
n
(mathematics) A five-dimensional hypercube.
n
(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) A solid figure with many flat faces and straight edges.
n
A uniform convex polychoron made up of 600 tetrahedral cells; a hexacosichoron.
n
A puzzle similar to a Rubik's Cube but shaped like a triangular pyramid (tetrahedron)
n
(mathematics) An irregular dodecahedron, the faces of which are identical but irregular pentagons.
n
A rough approximation of a hexagon
n
(mathematics) A six-sided polyhedron whose faces are all rectangular (like a brick, shoe box or matchbox)
n
(geometry) A convex polyhedron that has 12 congruent rhombic faces, 24 edges and 14 vertices of two types (eight 3-edge and six 4-edge) and is a Catalan solid.
n
Alternative form of rhombic dodecahedron [(geometry) A convex polyhedron that has 12 congruent rhombic faces, 24 edges and 14 vertices of two types (eight 3-edge and six 4-edge) and is a Catalan solid.]
n
(geometry) An Archimedean solid with 62 regular faces (20 triangles, 30 squares and 12 pentagons), 60 vertices and 120 edges.
n
(geometry) An Archimedean solid with eight triangular and eighteen square faces; the small rhombicuboctahedron.
n
(geometry) A nonconvex uniform polyhedron with square faces and sharing symmetry of a dodecahedron.
adj
(geometry) Relating to a semiregular tiling of the Euclidean plane with one triangle, two squares, and one hexagon on each vertex.
n
(geometry) An Archimedean solid composed of 122 faces, 120 vertices, and 240 edges.
n
A prism with six faces, each a rhombus.
n
(archaeology) A small hollow dodecahedral object of bronze or stone, with holes in the faces, mostly found at Gallo-Roman sites. Their use and significance is uncertain.
n
(geometry, mineralogy, crystallography) A polyhedron having twelve sides, each in the form of a scalene triangle, that is topologically equivalent to a hexagonal bipyramid and whose middle section can be said to inscribe a rhombohedron.
n
(geometry) The simplest non-convex polyhedron that cannot be triangulated into tetrahedra without adding new vertices.
n
(rare) Synonym of hexahedron
n
(geometry) A uniform star polyhedron that has faces of eight triangles, six squares and six octagrams
n
a polyhedron having 26 faces, 30 vertices and 60 edges
n
A non-regular convex polyhedron that has 12 equilateral triangles as faces and 18 edges and is a Johnson solid.
n
(geometry) A polyhedron that has 12 pentagonal and 80 triangular faces and is an Archimedean solid.
n
(geometry) A polyhedron, one of the Johnson solids, whose faces are composed of 12 equilateral triangles and 2 squares.
n
(geometry) A polyhedron, one of the Johnson solids, whose faces are composed of 16 triangles and 2 squares.
n
(geometry, engineering) A tetrahedron; a tetrahedral finite element.
n
(geometry) A polygon with forty six sides and forty six angles.
n
(mathematics) An astroid.
n
(geometry) A polyhedron with fourteen faces.
n
Alternative spelling of tetrahedron [(geometry) A polyhedron with four faces; the regular tetrahedron, the faces of which are equal equilateral triangles, is one of the Platonic solids.]
n
Obsolete form of tetrahedron. [(geometry) A polyhedron with four faces; the regular tetrahedron, the faces of which are equal equilateral triangles, is one of the Platonic solids.]
n
(geometry) A polyhedron with four faces; the regular tetrahedron, the faces of which are equal equilateral triangles, is one of the Platonic solids.
n
(geometry) A helix formed from tetrahedra linked face to face
n
A concave uniform polyhedron with four triangular faces, three square faces, twelve edges and six vertices.
n
A polyhex composed of four hexagons
n
(crystallography) A solid in the isometric system, bounded by twenty-four equal triangular faces, four corresponding to each face of the cube.
n
a polygon having fourteen sides and fourteen angles
n
Alternative form of tetrakaidekahedron [(mathematics) A solid figure having fourteen faces.]
adj
In the form of a tetrakaidekahedron.
n
(mathematics) A solid figure having fourteen faces.
n
(geometry) A Catalan solid that has 24 congruent triangular faces and 36 edges and can be imagined as a cube with a square pyramid on each face.
n
(geometry) A polyiamond made up of four triangles.
n
(geometry, crystallography) Any of a class of polyhedra that have kite-shaped faces and are dual polyhedra of antiprisms.
n
A polyhedron with 30 faces.
n
(geometry) A polygon with thirty four sides and thirty four angles.
n
(crystallography) A trigonal trisoctahedron.
n
(geometry) A polyhedron, one of the Johnson solids, whose faces are composed of 13 triangles, 3 squares, 3 pentagons, and 1 hexagon.
n
(geometry) A polyhedron with thirteen faces.
n
(mathematics) A geometric figure composed of three planes meeting at a single vertex.
n
A polyhex composed of three hexagons
n
Synonym of tridecahedron
n
Alternative spelling of triskaidecahedron [Synonym of tridecahedron]
n
(crystallography) A solid of the isometric system bounded by 24 equal faces, three corresponding to each face of an octahedron.
n
(geometry) A polyhedron with eight triangular and six octagonal faces that is an Archimedean solid and can be constructed by truncating a cube at each vertex along each adjoining edge.
n
(geometry) An Archimedean solid that is isogonal and has twenty-six regular faces (twelve square, eight hexagonal and six octagonal); a great rhombicuboctahedron.
n
(geometry) An Archimedean solid with thirty-two regular faces (twelve decagons and twenty triangles) and ninety edges.
n
(geometry) A polyhedron that has thirty-two faces (12 regular pentagons and 20 regular hexagons) and 60 vertices and 90 edges, and is one of the Archimedean solids.
n
An Archimedean solid with 62 regular faces (12 decagons, 20 hexagons and 30 squares) and 180 edges.
n
A zonohedron that has 14 faces (eight regular hexagons and six squares) and 36 edges and is an Archimedean solid.
n
(geometry) A convex polyhedron, with four triangular and four hexagonal faces, that is an Archimedean solid and can be constructed by truncating a regular tetrahedron at each vertex by one-third the length of each adjoining edge.
n
A die (polyhedron) that has 100 faces.
n
(geometry) A special case of convex polyhedron, in which every face of the polyhedron is a polygon with point symmetry.
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