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In geometry, the elongated square gyrobicupola is one of the Johnson solids (J37). As the name suggests, it can be constructed by elongating a square gyrobicupola (J29) and inserting an octagonal prism between its two halves. The resulting solid is locally vertex-regular — the arrangement of the four faces incident on any vertex is the same for all vertices; this is unique among the Johnson solids. However, it is not truly vertex-regular, and consequently not one of the Archimedean solids, as there are pairs of vertices such that there is no isometry of the solid which maps one into the other. Essentially, two types of vertices can be distinguished by their "neighbors of neighbors." Another way to see that the polyhedron is not vertex-regular is to note that there is exactly one belt of eight squares around its equator, which distinguishes vertices on the belt from vertices on either side. Johnson solid #37 Another attempt at using user:Cyps image:Poly. ...
The elongated square gyrobicupola (J37), a Johnson solid In geometry, a Johnson solid is a convex polyhedron, each face of which is a regular polygon, which is not a Platonic solid, Archimedean solid, prism, or antiprism. ...
In geometry, the elongated triangular gyrobicupola is one of the Johnson solids (J36) Categories: Stub | Johnson solids ...
In geometry, the elongated pentagonal orthobicupola is one of the Johnson solids (J38). ...
Jump to: navigation, search A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. ...
A square as a geometric shape is described and illustrated at square (geometry). ...
The symmetry group of an object (e. ...
In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ...
In mathematics, an object is convex if for any pair of points within the object, any point on the straight line segment that joins them is also within the object. ...
Jump to: navigation, search Geometry (Greek γεωμετÏία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. ...
The elongated square gyrobicupola (J37), a Johnson solid In geometry, a Johnson solid is a convex polyhedron, each face of which is a regular polygon, which is not a Platonic solid, Archimedean solid, prism, or antiprism. ...
In geometry, the Square gyrobicupola is one of the Johnson solids (J29). ...
Jump to: navigation, search One of the 8 semi-regular tessellations: octagons and squares An octagon is a polygon that has eight sides. ...
In geometry, a prism is a polyhedron made of two parallel copies of some polygonal base joined by faces that are rectangles or parallelograms. ...
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ...
The solid can also be seen as the result of twisting one of the square cupolae (J4) on a rhombicuboctahedron (one of the Archimedean solids) by 45 degrees. Its similarity to the rhombicuboctahedron gives it the alternative name pseudorhombicuboctahedron. In geometry, the Square cupola is one of the Johnson solids (J4). ...
The rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces. ...
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ...
The 92 Johnson solids were named and described by Norman Johnson in 1966. Norman Lloyd Johnson was born in Ilford Essex, England, in 1917. ...
1966 was a common year starting on Saturday (link goes to calendar) // Events January January 1 - In a coup, Colonel Jean-Bédel Bokassa ousts president David Dacko and takes over the Central African Republic. ...
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