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Compound of cube and octahedron; Compound of dodecahedron and icosahedron; Compound of eight octahedra with rotational freedom; Compound of eight triangular prisms; Compound of five cubes; Compound of five cuboctahedra; Compound of five cubohemioctahedra; Compound of five great cubicuboctahedra; Compound of five great dodecahedra; Compound of ...
This is a list of volume formulas of basic shapes: [4]: 405–406 ... List of formulas in elementary geometry. 2 languages ...
In geometry, the Rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has a total of 62 faces: 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, with 60 vertices , and 120 edges .
These figures are called star figures, improper star polygons or compound polygons. The same notation { n / m } is often used for them, although authorities such as Grünbaum (1994) regard (with some justification) the form k { n } as being more correct, where usually k = m .
Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2] Geometry is, along with arithmetic, one of the oldest ...
Regular polygrams {n/d}, with red lines showing constant d, and blue lines showing compound sequences k{n/d} In geometry, a generalized polygon can be called a polygram, and named specifically by its number of sides. All polygons are polygrams, but they can also include disconnected sets of edges, called a compound polygon.
In geometry, a polyhedral compound is a figure that is composed of several polyhedra sharing a common centre. They are the three-dimensional analogs of polygonal compounds such as the hexagram. The outer vertices of a compound can be connected to form a convex polyhedron called its convex hull. A compound is a faceting of its convex hull ...
The compound figure comprising two such dual tetrahedra form a stellated octahedron or stella octangula. Its interior is an octahedron, and correspondingly, a regular octahedron is the result of cutting off, from a regular tetrahedron, four regular tetrahedra of half the linear size (i.e., rectifying the tetrahedron).