Octagrammic prism

Last updated
Octagrammic prism
Prism 8-3.png
Type Uniform polyhedron
Faces 2 octagrams
8 squares
Edges 24
Vertices 16
Vertex configuration 8/3.4.4
Wythoff symbol 2 8/3 | 2
Schläfli symbol s{2,16/3}
sr{2,8/3}
Coxeter diagram CDel node h.pngCDel 2x.pngCDel node h.pngCDel 16.pngCDel rat.pngCDel 3x.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 8.pngCDel rat.pngCDel 3x.pngCDel node h.png
Symmetry group D8h
Dual polyhedron octagrammic bipyramid
Properties nonconvex
Vertex figure
Octagrammic prism vertfig.png

In geometry, the octagrammic prism is one of an infinite set of nonconvex prisms formed by square sides and two regular star polygon caps, in this case two octagrams.


Related Research Articles

Prism usually refers to:

<span class="mw-page-title-main">Binoculars</span> Pair of telescopes mounted side-by-side

Binoculars or field glasses are two refracting telescopes mounted side-by-side and aligned to point in the same direction, allowing the viewer to use both eyes when viewing distant objects. Most binoculars are sized to be held using both hands, although sizes vary widely from opera glasses to large pedestal-mounted military models.

In geometry, a cuboid is a hexahedron, a six-faced solid. Its faces are quadrilaterals. Cuboid means "like a cube", in the sense that by adjusting the length of the edges or the angles between edges and faces a cuboid can be transformed into a cube. In mathematical language a cuboid is a convex polyhedron, whose polyhedral graph is the same as that of a cube.

<span class="mw-page-title-main">Prism (optics)</span> Transparent optical element with flat, polished surfaces that refract light

An optical prism is a transparent optical element with flat, polished surfaces that are designed to refract light. At least one surface must be angled — elements with two parallel surfaces are not prisms. The most familiar type of optical prism is the triangular prism, which has a triangular base and rectangular sides. Not all optical prisms are geometric prisms, and not all geometric prisms would count as an optical prism. Prisms can be made from any material that is transparent to the wavelengths for which they are designed. Typical materials include glass, acrylic and fluorite.

<span class="mw-page-title-main">Prism (geometry)</span> Solid with 2 parallel n-gonal bases connected by n parallelograms

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases. Prisms are named after their bases, e.g. a prism with a pentagonal base is called a pentagonal prism. Prisms are a subclass of prismatoids.

<span class="mw-page-title-main">Monoclinic crystal system</span> One of the 7 crystal systems in crystallography

In crystallography, the monoclinic crystal system is one of the seven crystal systems. A crystal system is described by three vectors. In the monoclinic system, the crystal is described by vectors of unequal lengths, as in the orthorhombic system. They form a parallelogram prism. Hence two pairs of vectors are perpendicular, while the third pair makes an angle other than 90°.

In crystallography, the orthorhombic crystal system is one of the 7 crystal systems. Orthorhombic lattices result from stretching a cubic lattice along two of its orthogonal pairs by two different factors, resulting in a rectangular prism with a rectangular base and height (c), such that a, b, and c are distinct. All three bases intersect at 90° angles, so the three lattice vectors remain mutually orthogonal.

<span class="mw-page-title-main">Prism (band)</span> Canadian rock band

Prism is a Canadian rock band formed in Vancouver in 1977. They were originally active from 1977 to 1984 and have been active again from 1987 to present. Their classic line-up consisted of lead singer Ron Tabak, guitarist Lindsay Mitchell, keyboardist John Hall, bassist Allen Harlow and drummer Rocket Norton.

<span class="mw-page-title-main">Triaugmented triangular prism</span> Convex polyhedron with 14 triangle faces

The triaugmented triangular prism, in geometry, is a convex polyhedron with 14 equilateral triangles as its faces. It can be constructed from a triangular prism by attaching equilateral square pyramids to each of its three square faces. The same shape is also called the tetrakis triangular prism, tricapped trigonal prism, tetracaidecadeltahedron, or tetrakaidecadeltahedron; these last names mean a polyhedron with 14 triangular faces. It is an example of a deltahedron and of a Johnson solid.

<span class="mw-page-title-main">Uniform 4-polytope</span> Class of 4-dimensional polytopes

In geometry, a uniform 4-polytope is a 4-dimensional polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.

<span class="mw-page-title-main">Duoprism</span> Cartesian product of two polytopes

In geometry of 4 dimensions or higher, a double prism or duoprism is a polytope resulting from the Cartesian product of two polytopes, each of two dimensions or higher. The Cartesian product of an n-polytope and an m-polytope is an (n+m)-polytope, where n and m are dimensions of 2 (polygon) or higher.

<span class="mw-page-title-main">PRISM (TV channel)</span> Defunct premium cable channel based in Philadelphia

PRISM was an American regional premium cable television channel in the Philadelphia metropolitan area. Launched in September 1976, PRISM was primarily distributed through area cable systems, although it was also available through a scrambled over-the-air signal on WWSG-TV from 1983 to 1985.

<span class="mw-page-title-main">Triangular prism</span> Prism with a 3-sided base

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.

<span class="mw-page-title-main">Octagonal prism</span> Prism with an 8-sided base

In geometry, the octagonal prism is the sixth in an infinite set of prisms, formed by rectangular sides and two regular octagon caps.

<span class="mw-page-title-main">Cubic honeycomb</span> Only regular space-filling tessellation of the cube

The cubic honeycomb or cubic cellulation is the only proper regular space-filling tessellation in Euclidean 3-space made up of cubic cells. It has 4 cubes around every edge, and 8 cubes around each vertex. Its vertex figure is a regular octahedron. It is a self-dual tessellation with Schläfli symbol {4,3,4}. John Horton Conway called this honeycomb a cubille.

The wedge prism is a prism with a shallow angle between its input and output surfaces. This angle is usually 3 degrees or less. Refraction at the surfaces causes the prism to deflect light by a fixed angle. When viewing a scene through such a prism, objects will appear to be offset by an amount that varies with their distance from the prism.

<span class="mw-page-title-main">Apeirogonal prism</span> Prism with an infinite-sided polygon base

In geometry, an apeirogonal prism or infinite prism is the arithmetic limit of the family of prisms; it can be considered an infinite polyhedron or a tiling of the plane.

<span class="mw-page-title-main">PRISM</span> Mass surveillance program run by the NSA

PRISM is a code name for a program under which the United States National Security Agency (NSA) collects internet communications from various U.S. internet companies. The program is also known by the SIGAD US-984XN. PRISM collects stored internet communications based on demands made to internet companies such as Google LLC under Section 702 of the FISA Amendments Act of 2008 to turn over any data that match court-approved search terms. Among other things, the NSA can use these PRISM requests to target communications that were encrypted when they traveled across the internet backbone, to focus on stored data that telecommunication filtering systems discarded earlier, and to get data that is easier to handle.

<i>Prism</i> (Katy Perry album) 2013 studio album by Katy Perry

Prism is the fourth studio album by American singer Katy Perry. It was released by Capitol Records on October 18, 2013. While the album was initially planned to be "darker" than her previous material, Prism ultimately became a prominently dance-inspired record. Perry worked with several past collaborators, while enlisting new producers and guest vocals. Much of Prism revolves around the themes of living in the present, relationships, and self-empowerment. The album garnered generally positive reviews with critics praising its lyrics for being more "mature" and personal, while others considered Prism to be more formulaic than her previous material.

<i>King of Prism: Shiny Seven Stars</i> 0000 Japanese film

King of Prism: Shiny Seven Stars is a 2019 Japanese animated film and television series project produced by Tatsunoko Production and Avex Pictures based on Takara Tomy's Pretty Rhythm franchise. The story is a spin-off of the animated television series Pretty Rhythm: Rainbow Live, which aired from 2013 to 2014. Shiny Seven Stars the third film of the King of Prism film series, released as the direct sequel to the 2016 film King of Prism by Pretty Rhythm and 2017 film King of Prism: Pride the Hero.