68 relations: Archimedean solid, Arthur Cayley, Chirality (mathematics), Coprime integers, Cube, Cuboctahedron, Digon, Dimension, Divisor, Dodecahedron, Dual polyhedron, Duality (mathematics), Enneagram (geometry), Facet (geometry), Faceting, Final stellation of the icosahedron, Geometry, Gravitation (M. C. Escher), Great dodecahedron, Great grand stellated 120-cell, Great icosahedron, Great stellated dodecahedron, Harold Scott MacDonald Coxeter, Hemipolyhedron, Heptagon, Heptagram, Hexagon, Hexagram, Hyperplane, Icosahedron, Icosidodecahedron, Italian Renaissance, J. C. P. Miller, Johannes Kepler, John Horton Conway, Kepler–Poinsot polyhedron, List of Wenninger polyhedron models, Lithography, M. C. Escher, Magnus Wenninger, Mathematics and art, Nonagon, Octagon, Octagram, Octahedron, Paolo Uccello, Pentagon, Pentagram, Polygon, Polyhedron, ..., Polytope, Polytope compound, Regular 4-polytope, Rhombic dodecahedron, Rhombic triacontahedron, Schläfli symbol, Small stellated dodecahedron, Square, St Mark's Basilica, Star polygon, Stellated octahedron, Stellation diagram, Tetrahedron, The Fifty-Nine Icosahedra, Triakis tetrahedron, Venice Biennale, 120-cell, 4-polytope. Expand index (18 more) »
Archimedean solid
In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes.
New!!: Stellation and Archimedean solid · See more »
Arthur Cayley
Arthur Cayley F.R.S. (16 August 1821 – 26 January 1895) was a British mathematician.
New!!: Stellation and Arthur Cayley · See more »
Chirality (mathematics)
In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or, more precisely, if it cannot be mapped to its mirror image by rotations and translations alone.
New!!: Stellation and Chirality (mathematics) · See more »
Coprime integers
In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.
New!!: Stellation and Coprime integers · See more »
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
New!!: Stellation and Cube · See more »
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
New!!: Stellation and Cuboctahedron · See more »
Digon
In geometry, a digon is a polygon with two sides (edges) and two vertices.
New!!: Stellation and Digon · See more »
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
New!!: Stellation and Dimension · See more »
Divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.
New!!: Stellation and Divisor · See more »
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
New!!: Stellation and Dodecahedron · See more »
Dual polyhedron
In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.
New!!: Stellation and Dual polyhedron · See more »
Duality (mathematics)
In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Such involutions sometimes have fixed points, so that the dual of A is A itself.
New!!: Stellation and Duality (mathematics) · See more »
Enneagram (geometry)
In geometry, an enneagram is a nine-pointed plane figure.
New!!: Stellation and Enneagram (geometry) · See more »
Facet (geometry)
In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.
New!!: Stellation and Facet (geometry) · See more »
Faceting
Stella octangula as a faceting of the cube In geometry, faceting (also spelled facetting) is the process of removing parts of a polygon, polyhedron or polytope, without creating any new vertices.
New!!: Stellation and Faceting · See more »
Final stellation of the icosahedron
In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it includes all of the cells in the icosahedron's stellation diagram.
New!!: Stellation and Final stellation of the icosahedron · See more »
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
New!!: Stellation and Geometry · See more »
Gravitation (M. C. Escher)
Gravitation (also known as Gravity) is a mixed media work by the Dutch artist M. C. Escher completed in June 1952.
New!!: Stellation and Gravitation (M. C. Escher) · See more »
Great dodecahedron
In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol and Coxeter–Dynkin diagram of.
New!!: Stellation and Great dodecahedron · See more »
Great grand stellated 120-cell
In geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol, one of 10 regular Schläfli-Hess 4-polytopes.
New!!: Stellation and Great grand stellated 120-cell · See more »
Great icosahedron
In geometry, the great icosahedron is one of four Kepler-Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol and Coxeter-Dynkin diagram of.
New!!: Stellation and Great icosahedron · See more »
Great stellated dodecahedron
In geometry, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol.
New!!: Stellation and Great stellated dodecahedron · See more »
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
New!!: Stellation and Harold Scott MacDonald Coxeter · See more »
Hemipolyhedron
In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center.
New!!: Stellation and Hemipolyhedron · See more »
Heptagon
In geometry, a heptagon is a seven-sided polygon or 7-gon.
New!!: Stellation and Heptagon · See more »
Heptagram
A heptagram, septagram, septegram or septogram is a seven-point star drawn with seven straight strokes.
New!!: Stellation and Heptagram · See more »
Hexagon
In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.
New!!: Stellation and Hexagon · See more »
Hexagram
A hexagram (Greek) or sexagram (Latin) is a six-pointed geometric star figure with the Schläfli symbol, 2, or.
New!!: Stellation and Hexagram · See more »
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
New!!: Stellation and Hyperplane · See more »
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
New!!: Stellation and Icosahedron · See more »
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
New!!: Stellation and Icosidodecahedron · See more »
Italian Renaissance
The Italian Renaissance (Rinascimento) was the earliest manifestation of the general European Renaissance, a period of great cultural change and achievement that began in Italy during the 14th century (Trecento) and lasted until the 17th century (Seicento), marking the transition between Medieval and Modern Europe.
New!!: Stellation and Italian Renaissance · See more »
J. C. P. Miller
Jeffrey Charles Percy Miller (31 August 1906 – 24 April 1981) was an English mathematician and computing pioneer.
New!!: Stellation and J. C. P. Miller · See more »
Johannes Kepler
Johannes Kepler (December 27, 1571 – November 15, 1630) was a German mathematician, astronomer, and astrologer.
New!!: Stellation and Johannes Kepler · See more »
John Horton Conway
John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
New!!: Stellation and John Horton Conway · See more »
Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
New!!: Stellation and Kepler–Poinsot polyhedron · See more »
List of Wenninger polyhedron models
This is an indexed list of the uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger.
New!!: Stellation and List of Wenninger polyhedron models · See more »
Lithography
Lithography is a method of printing originally based on the immiscibility of oil and water.
New!!: Stellation and Lithography · See more »
M. C. Escher
Maurits Cornelis Escher (17 June 1898 – 27 March 1972) was a Dutch graphic artist who made mathematically-inspired woodcuts, lithographs, and mezzotints.
New!!: Stellation and M. C. Escher · See more »
Magnus Wenninger
Father Magnus J. Wenninger OSB (October 31, 1919Banchoff (2002)– February 17, 2017) was an American mathematician who worked on constructing polyhedron models, and wrote the first book on their construction.
New!!: Stellation and Magnus Wenninger · See more »
Mathematics and art
Mathematics and art are related in a variety of ways.
New!!: Stellation and Mathematics and art · See more »
Nonagon
In geometry, a nonagon or enneagon is a nine-sided polygon or 9-gon.
New!!: Stellation and Nonagon · See more »
Octagon
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.
New!!: Stellation and Octagon · See more »
Octagram
In geometry, an octagram is an eight-angled star polygon.
New!!: Stellation and Octagram · See more »
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
New!!: Stellation and Octahedron · See more »
Paolo Uccello
Paolo Uccello (1397 – 10 December 1475), born Paolo di Dono, was an Italian painter and mathematician who was notable for his pioneering work on visual perspective in art.
New!!: Stellation and Paolo Uccello · See more »
Pentagon
In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.
New!!: Stellation and Pentagon · See more »
Pentagram
A pentagram (sometimes known as a pentalpha or pentangle or a star pentagon) is the shape of a five-pointed star drawn with five straight strokes.
New!!: Stellation and Pentagram · See more »
Polygon
In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.
New!!: Stellation and Polygon · See more »
Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
New!!: Stellation and Polyhedron · See more »
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
New!!: Stellation and Polytope · See more »
Polytope compound
A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.
New!!: Stellation and Polytope compound · See more »
Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
New!!: Stellation and Regular 4-polytope · See more »
Rhombic dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.
New!!: Stellation and Rhombic dodecahedron · See more »
Rhombic triacontahedron
In geometry, the rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces.
New!!: Stellation and Rhombic triacontahedron · See more »
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
New!!: Stellation and Schläfli symbol · See more »
Small stellated dodecahedron
In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol.
New!!: Stellation and Small stellated dodecahedron · See more »
Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
New!!: Stellation and Square · See more »
St Mark's Basilica
The Patriarchal Cathedral Basilica of Saint Mark (Basilica Cattedrale Patriarcale di San Marco), commonly known as Saint Mark's Basilica (Basilica di San Marco; Baxéłega de San Marco), is the cathedral church of the Roman Catholic Archdiocese of Venice, northern Italy.
New!!: Stellation and St Mark's Basilica · See more »
Star polygon
In geometry, a star polygon is a type of non-convex polygon.
New!!: Stellation and Star polygon · See more »
Stellated octahedron
The stellated octahedron is the only stellation of the octahedron.
New!!: Stellation and Stellated octahedron · See more »
Stellation diagram
In geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other face planes intersect with this one.
New!!: Stellation and Stellation diagram · See more »
Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
New!!: Stellation and Tetrahedron · See more »
The Fifty-Nine Icosahedra
The Fifty-Nine Icosahedra is a book written and illustrated by H. S. M. Coxeter, P. Du Val, H. T. Flather and J. F. Petrie.
New!!: Stellation and The Fifty-Nine Icosahedra · See more »
Triakis tetrahedron
In geometry, a triakis tetrahedron (or kistetrahedron) is an Archimedean dual solid, or a Catalan solid.
New!!: Stellation and Triakis tetrahedron · See more »
Venice Biennale
The Venice Biennale (La Biennale di Venezia; in English also called the "Venice Biennial") refers to an arts organization based in Venice and the name of the original and principal biennial exhibition the organization organizes.
New!!: Stellation and Venice Biennale · See more »
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
New!!: Stellation and 120-cell · See more »
4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.
New!!: Stellation and 4-polytope · See more »
Redirects here:
Compound polygon, Miller's rules, Polytope stellations, Stellated, Stellated polyhedra.
References
[1] https://en.wikipedia.org/wiki/Stellation