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Solid made by joining an n- and 2n-gon with triangles and squares
In geometry, a cupola (plural: cupolae) is a solid formed by joining two polygons, one (the base) with twice as many edges as the other, by an alternating
Cupola_(geometry)
Cupola with octagonal base
In geometry, the square cupola (sometimes called lesser dome) is a cupola with an octagonal base. In the case of all edges being equal in length, it is
Square_cupola
Convex polyhedron with regular faces
polyhedron. There are 92 such solids: 48 composed of the primitive pyramids, cupolas, and rotundas assembled in various ways together with prisms and antiprisms;
Johnson_solid
Cupola with decagonal base
geometry, the pentagonal cupola is one of the Johnson solids (J5). It can be obtained as a slice of the rhombicosidodecahedron. The pentagonal cupola
Pentagonal_cupola
Object in 4-dimensional geometry
In 4-dimensional geometry, the octahedral cupola is a 4-polytope bounded by one octahedron and a parallel rhombicuboctahedron, connected by 20 triangular
Octahedral_cupola
Cupola with hexagonal base
In geometry, the triangular cupola is the cupola with hexagon as its base and triangle as its top. If the edges are equal in length, the triangular cupola
Triangular_cupola
24th Johnson solid (32 faces)
In geometry, the gyroelongated pentagonal cupola is one of the Johnson solids (J24). As the name suggests, it can be constructed by gyroelongating a pentagonal
Gyroelongated pentagonal cupola
Gyroelongated_pentagonal_cupola
Topics referred to by the same term
intrusion Cupola (geometry), a geometric solid Cupola (ISS module), an observation dome on the International Space Station Cupola (military), a small
Cupola_(disambiguation)
18th Johnson solid (14 faces)
In geometry, the elongated triangular cupola is a polyhedron constructed from a hexagonal prism by attaching a triangular cupola. It is an example of
Elongated_triangular_cupola
Polyhedron with a square cupola and an octagonal prism
In geometry, the elongated square cupola is a polyhedron constructed from an octagonal prism by attaching square cupola onto its base. It is an example
Elongated_square_cupola
23rd Johnson solid (26 faces)
In geometry, the gyroelongated square cupola is one of the Johnson solids (J23). As the name suggests, it can be constructed by gyroelongating a square
Gyroelongated_square_cupola
In 4-dimensional geometry, the tetrahedral cupola is a polychoron bounded by one tetrahedron, a parallel cuboctahedron, connected by 10 triangular prisms
Tetrahedral_cupola
76th Johnson solid (52 faces)
It can be constructed as a rhombicosidodecahedron with one pentagonal cupola removed. A Johnson solid is one of 92 strictly convex polyhedra that are
Diminished rhombicosidodecahedron
Diminished_rhombicosidodecahedron
22nd Johnson solid (20 faces)
In geometry, the gyroelongated triangular cupola is one of the Johnson solids (J22). It can be constructed by attaching a hexagonal antiprism to the base
Gyroelongated triangular cupola
Gyroelongated_triangular_cupola
Prism with a 3-sided base
triangular prism or trigonal prism is a prism with two triangular bases in geometry. If the edges pair with each triangle's vertex and if they are perpendicular
Triangular_prism
32nd Johnson solid (27 faces)
(J32). As the name suggests, it can be constructed by joining a pentagonal cupola (J5) and a pentagonal rotunda (J6) along their decagonal bases, matching
Pentagonal_orthocupolarotunda
30th Johnson solid (22 faces)
their decagonal bases, matching like faces. A 36-degree rotation of one cupola before the joining yields a pentagonal gyrobicupola (J31). The pentagonal
Pentagonal_orthobicupola
Solid made from 2 cupolae joined base-to-base
In geometry, a bicupola is a solid formed by connecting two cupolae on their bases. Here, two classes of bicupola are included because each cupola (bicupola
Bicupola
Solid made by joining an n- and 2n-gon with triangles and pentagons
In geometry, a rotunda is any member of a family of cyclic-symmetric polyhedra. They are similar to a cupola but, instead of alternating squares and triangles
Rotunda_(geometry)
Alternation (geometry) Dual polyhedron Gyration (geometry) Elongation (geometry) Augmentation (geometry) Diminishment (geometry) Greatening (geometry) Aggrandizement
List of polygons, polyhedra and polytopes
List_of_polygons,_polyhedra_and_polytopes
Polyhedron sliced by a plane into other polyhedra
In geometry, a composite polyhedron is a convex polyhedron that produces two convex, regular-faced polyhedra when sliced by a plane.[dubious – discuss]
Composite_polyhedron
In 4-dimensional geometry, the cubic cupola is a 4-polytope bounded by a rhombicuboctahedron, a parallel cube, connected by 6 square prisms, 12 triangular
Cubic_cupola
33rd Johnson solid (27 faces)
orthocupolarotunda (J32), it can be constructed by joining a pentagonal cupola (J5) and a pentagonal rotunda (J6) along their decagonal bases. The difference
Pentagonal_gyrocupolarotunda
Archimedean solid with 26 faces
to construct the rhombicuboctahedron is by attaching two regular square cupolas into the bases of a regular octagonal prism. A rhombicuboctahedron may
Rhombicuboctahedron
69th Johnson solid (52 faces)
(J69). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two parallel decagonal faces of a truncated dodecahedron. A Johnson
Parabiaugmented truncated dodecahedron
Parabiaugmented_truncated_dodecahedron
77th Johnson solid (52 faces)
rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees, and the opposing pentagonal cupola removed. A Johnson solid is one of 92 strictly
Paragyrate diminished rhombicosidodecahedron
Paragyrate_diminished_rhombicosidodecahedron
83rd Johnson solid (32 faces)
In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83). It can be constructed as a rhombicosidodecahedron with three
Tridiminished rhombicosidodecahedron
Tridiminished_rhombicosidodecahedron
Church in Tuscany, Italy
Virtues, Gifts of the Holy Spirit and Beatitudes; and at the bottom of the cupola: Capital Sins and Hell. These frescoes are considered Zuccari's greatest
Florence_Cathedral
Polyhedron with 12 faces
In geometry, a dodecahedron or duodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with
Dodecahedron
66th Johnson solid (22 faces)
In geometry, the augmented truncated cube is one of the Johnson solids (J66). As its name suggests, it is created by attaching a square cupola (J4) onto
Augmented_truncated_cube
78th Johnson solid (52 faces)
rhombicosidodecahedron with one pentagonal cupola (J5) rotated through 36 degrees, and a non-opposing pentagonal cupola removed. (The cupolae cannot be adjacent
Metagyrate diminished rhombicosidodecahedron
Metagyrate_diminished_rhombicosidodecahedron
In geometry, the gyroelongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to a 2n-gonal antiprism. There are
Gyroelongated_cupola
68th Johnson solid (42 faces)
solids (J68). As its name suggests, it is created by attaching a pentagonal cupola (J5) onto one decagonal face of a truncated dodecahedron. A Johnson solid
Augmented truncated dodecahedron
Augmented_truncated_dodecahedron
65th Johnson solid (14 faces)
In geometry, the augmented truncated tetrahedron is a polyhedron constructed by attaching a triangular cupola onto a truncated tetrahedron. It is an example
Augmented truncated tetrahedron
Augmented_truncated_tetrahedron
Polyhedron with eight triangular faces
In geometry, an octahedron (pl.: octahedra or octahedrons) is any polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid
Octahedron
73rd Johnson solid (62 faces)
In geometry, the parabigyrate rhombicosidodecahedron is one of the Johnson solids (J73). It can be constructed as a rhombicosidodecahedron with two opposing
Parabigyrate rhombicosidodecahedron
Parabigyrate_rhombicosidodecahedron
Polyhedron with 20 faces
In geometry, an icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι
Icosahedron
40th Johnson solid (37 faces)
by inserting a decagonal prism between its halves. Rotating either the cupola or the rotunda through 36 degrees before inserting the prism yields an elongated
Elongated pentagonal orthocupolarotunda
Elongated_pentagonal_orthocupolarotunda
67th Johnson solid (30 faces)
In geometry, the biaugmented truncated cube is one of the Johnson solids (J67). As its name suggests, it is created by attaching two square cupolas (J4)
Biaugmented_truncated_cube
37th Johnson solid (26 faces)
In geometry, the elongated square gyrobicupola is a polyhedron constructed by two square cupolas attaching onto the bases of octagonal prism, with one
Elongated_square_gyrobicupola
81st Johnson solid (42 faces)
In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids (J81). A Johnson solid is one of 92 strictly convex polyhedra that
Metabidiminished rhombicosidodecahedron
Metabidiminished_rhombicosidodecahedron
74th Johnson solid (62 faces)
In geometry, the metabigyrate rhombicosidodecahedron is one of the Johnson solids (J74). It can be constructed as a rhombicosidodecahedron with two non-opposing
Metabigyrate rhombicosidodecahedron
Metabigyrate_rhombicosidodecahedron
Polyhedron with 10 faces
Wikimedia Commons has media related to Decahedra. In geometry, a decahedron is a polyhedron with ten faces. There are 32300 topologically distinct decahedra
Decahedron
35th Johnson solid (20 faces)
In geometry, the elongated triangular orthobicupola is a polyhedron constructed by attaching two regular triangular cupola into the base of a regular
Elongated triangular orthobicupola
Elongated_triangular_orthobicupola
In geometry, the elongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to a 2n-gonal prism. There are three elongated
Elongated_cupola
28th Johnson solid (18 faces)
In geometry, the square orthobicupola is a Johnson solid constructed by two square cupolas base-to-base. The square orthobicupola is started by attaching
Square_orthobicupola
41st Johnson solid (37 faces)
inserting a decagonal prism between its halves. Rotating either the pentagonal cupola (J5) or the pentagonal rotunda (J6) through 36 degrees before inserting
Elongated pentagonal gyrocupolarotunda
Elongated_pentagonal_gyrocupolarotunda
79th Johnson solid (52 faces)
two pentagonal cupolae rotated through 36 degrees, and a third pentagonal cupola removed. (None of the cupolae can be adjacent.) A Johnson solid is one of
Bigyrate diminished rhombicosidodecahedron
Bigyrate_diminished_rhombicosidodecahedron
80th Johnson solid (42 faces)
In geometry, the parabidiminished rhombicosidodecahedron is one of the Johnson solids (J80). It is also a canonical polyhedron. A Johnson solid is one
Parabidiminished rhombicosidodecahedron
Parabidiminished_rhombicosidodecahedron
70th Johnson solid (52 faces)
(J70). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two nonadjacent, nonparallel decagonal faces of a truncated dodecahedron
Metabiaugmented truncated dodecahedron
Metabiaugmented_truncated_dodecahedron
Archimedean solid with 32 faces
In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges
Truncated_dodecahedron
Elongated square cupola Elongated square gyrobicupola Elongated square pyramid Elongated triangular bipyramid Elongated triangular cupola Elongated triangular
List_of_mathematical_shapes
36th Johnson solid (20 faces)
In geometry, the elongated triangular gyrobicupola is a polyhedron constructed by attaching two regular triangular cupolas to the base of a regular hexagonal
Elongated triangular gyrobicupola
Elongated_triangular_gyrobicupola
Convex polyhedron whose faces are almost regular polygons
In geometry, a near-miss Johnson solid is a convex polyhedron whose faces are close to being regular polygons but some or all of which are not precisely
Near-miss_Johnson_solid
Architectural element similar to the hollow upper half of a sphere; there are many types
hollow upper half of a sphere. There is significant overlap with the term cupola, which may also refer to a dome or a structure on top of a dome. The precise
Dome
Topics referred to by the same term
refer to: Vertex (graph theory), a vertex in a mathematical graph Vertex (geometry), a point where two or more curves, lines, or edges meet. Node (autonomous
Node
GIPSITRAC module), data acquisition computers and cameras mounted inside a cupola on the vehicle roof. The conventional instrument configuration is supported
GIPSICAM
Polyhedron with 8 triangles and 6 squares
ways: Its construction can be started by attaching two regular triangular cupolas base-to-base. This is similar to one of the Johnson solids, triangular
Cuboctahedron
In geometry, the gyroelongated bicupolae are an infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal antiprism. The
Gyroelongated_bicupola
Archimedean solid with 62 faces
In geometry, a truncated icosidodecahedron, rhombitruncated icosidodecahedron, great rhombicosidodecahedron, omnitruncated dodecahedron or omnitruncated
Truncated_icosidodecahedron
Two joined triangular cupolae
In geometry, the triangular orthobicupola is the 27th Johnson solid. As the name suggests, it can be constructed by attaching two triangular cupolae along
Triangular_orthobicupola
75th Johnson solid (62 faces)
In geometry, the trigyrate rhombicosidodecahedron is one of the Johnson solids (J75). It contains 20 triangles, 30 squares and 12 pentagons. It is also
Trigyrate rhombicosidodecahedron
Trigyrate_rhombicosidodecahedron
71st Johnson solid (62 faces)
In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids (J71). Of them, it has the greatest surface area and volume for a given
Triaugmented truncated dodecahedron
Triaugmented_truncated_dodecahedron
82nd Johnson solid (42 faces)
In geometry, the gyrate bidiminished rhombicosidodecahedron is one of the Johnson solids (J82). A Johnson solid is one of 92 strictly convex polyhedra
Gyrate bidiminished rhombicosidodecahedron
Gyrate_bidiminished_rhombicosidodecahedron
Partition of a sphere's surface into polygons
In geometry, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded
Spherical_polyhedron
Archimedean solid with 8 faces
In geometry, the truncated tetrahedron is an Archimedean solid. It has 4 regular hexagonal faces, 4 equilateral triangle faces, 12 vertices and 18 edges
Truncated_tetrahedron
Shape with six sides
In geometry, a hexagon (from Greek ἕξ, hex, meaning "six", and γωνία, gonía, meaning "corner, angle") is a six-sided polygon. The total of the internal
Hexagon
In geometry, the elongated bicupolae are two infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal prism. They have 2n
Elongated_bicupola
Flat-sided three-dimensional shape
In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional figure
Polyhedron
Archimedean solid with 14 faces
In geometry, the truncated octahedron is the Archimedean solid that arises from a regular octahedron by removing six equilateral square pyramids, one at
Truncated_octahedron
Catholic cathedral in Aachen, Germany
chapel) was consecrated on the 600th anniversary of Charlemagne's death. A cupola, several other chapels, and a steeple were also constructed at later dates
Aachen_Cathedral
25th Johnson solid (37 faces)
In geometry, the gyroelongated pentagonal rotunda is a Johnson solid, a convex polyhedron with thirty equilateral triangles, six regular pentagons, and
Gyroelongated pentagonal rotunda
Gyroelongated_pentagonal_rotunda
In geometry, the pseudo great rhombicuboctahedron is one of the two pseudo uniform polyhedra, the other being the convex elongated square gyrobicupola
Pseudo great rhombicuboctahedron
Pseudo_great_rhombicuboctahedron
Archimedean solid with 26 faces
In geometry, the truncated cuboctahedron or great rhombicuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has
Truncated_cuboctahedron
Spatial tiling of convex uniform polyhedra
In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral
Convex_uniform_honeycomb
72nd Johnson solid (62 faces)
In geometry, the gyrate rhombicosidodecahedron is one of the Johnson solids (J72). It is also a canonical polyhedron. A Johnson solid is one of 92 strictly
Gyrate_rhombicosidodecahedron
prism, and triangular cupola cells. It is vertex-transitive, but not uniform, since it contains Johnson solid triangular cupola cells. Convex uniform
Triangular_tiling_honeycomb
Polyhedron with all vertices in two parallel planes
In geometry, a prismatoid is a convex polyhedron whose vertices all lie in two parallel planes. Its lateral faces can be trapezoids or triangles. If both
Prismatoid
Polyhedron with 18 faces
In geometry, an octadecahedron (or octakaidecahedron) is a polyhedron with 18 faces. No octadecahedron is regular; hence, the name does not commonly refer
Octadecahedron
Polyhedra in which all vertices are the same
rhombicuboctahedron that can be constructed alternatively by attaching two square cupolas on the bases of an octagonal prism. At least ten of the Archimedean solids
Archimedean_solid
In geometry, a polyhedron is a solid in three dimensions with flat faces and straight edges. Every edge has exactly two faces, and every vertex is surrounded
List of small polyhedra by vertex count
List_of_small_polyhedra_by_vertex_count
Historic landmark in the City of London
and the neighbouring buildings; it was later covered with a small stone cupola to protect it. In 1598 John Stow had commented that "if carts do run against
London_Stone
Polyhedron with 14 faces
antiprism (12 triangles, 2 hexagons) Johnson solids: J18: Elongated triangular cupola (4 triangles, 9 squares, 1 hexagon) J27: Triangular orthobicupola (8 triangles
Tetradecahedron
Medieval Sabian scholar (c. 830–901)
Abbasid Caliphate. Thābit ibn Qurra made important discoveries in algebra, geometry, and astronomy. In astronomy, Thābit is considered one of the first reformers
Thābit_ibn_Qurra
In geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell. There are two
Truncated_24-cells
Factory that produces metal castings
to these metals. For example, an iron foundry (for cast iron) may use a cupola, induction furnace, or EAF, while a steel foundry will use an EAF or induction
Foundry
Residence of Charlemagne from ca. 790 -814
high octagonal cupola. Eight massive pillars receive the thrust of large arcades. The nave on the first floor, located under the cupola, is surrounded
Palace_of_Aachen
In the field of hyperbolic geometry, the order-4 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic
Order-4 hexagonal tiling honeycomb
Order-4_hexagonal_tiling_honeycomb
Emperor of the French (1804–1814; 1815)
procession to the chapel of Les Invalides. The coffin was later placed in the cupola in St Jérôme's Chapel, where it remained until Napoleon's tomb, designed
Napoleon
Mosque in Visoko, Bosnia and Herzegovina
consist of a courtyard leading to a square praying area, over which rises a cupola. The difference is in an unusual arrangement of this concept, where large
Šerefudin's_White_Mosque
Santa Maria del Fiore at Structurae gives a 43 m (141 ft) diameter of the cupola. Other estimates are as low as 42 m (138 ft). The British Foreign Mechanic
List_of_largest_domes
45th Johnson solid (34 faces)
In geometry, the gyroelongated square bicupola is the Johnson solid constructed by attaching two square cupolae on each base of octagonal antiprism. It
Gyroelongated_square_bicupola
Pavilion in Deutz, Germany
exterior walls devoid of rectangles. Each part of the cupola was designed to recall the complex geometry of nature. The Pavilion structure was on a concrete
Glass_Pavilion
In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell. There are two
Truncated_5-cell
of Greater Ararat. The conical or semiconical radially segmented dome or cupola is mounted above vaulted ceilings on a cylindrical drum (usually polygonal
Architecture_of_Armenia
Dome who bottom cross section takes the form of an ellipse
circular cross-section, so is not quite the same. While the cupola can take different geometries, when the ceiling's cross-section takes the form of an ellipse
Elliptical_dome
Trilogy of science fiction novels and one short story by Greg Bear
bare surface. Gates are capped with cupolas formed from Space-time itself. As distortions in space-time geometry, their nature can be calculated by 21st
The_Way_(novel_series)
Comune in Emilia-Romagna, Italy
Leonardo da Vinci. Construction begun 1514, Baroque façade added in 1701 and cupola completed 1774). Church of Santa Maria in Castello or La Sagra - façade
Carpi,_Emilia-Romagna
Polyhedron with 9 faces
In geometry, an enneahedron (or nonahedron) is a polyhedron with nine faces. There are 2606 types of convex enneahedra, each having a different pattern
Enneahedron
In the field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic
Order-5 hexagonal tiling honeycomb
Order-5_hexagonal_tiling_honeycomb
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