Faster access than browser!
32 relations: Abstract polytope, Antiparallelogram, Cambridge University Press, Covering space, Coxeter–Dynkin diagram, Cuboctahedron, Cupola (geometry), Dual polyhedron, Euler characteristic, Face (geometry), Geometry, Hemi-cuboctahedron, Hemi-octahedron, Hemipolyhedron, Magnus Wenninger, Octahedron, Orientability, Perpendicular, Prism (geometry), Prismatic uniform polyhedron, Projective polyhedron, Real projective plane, Right triangle, Roman surface, Stellation, Tetrahedron, Tetrahemihexahedron, Uniform polyhedron, Uniform star polyhedron, Vertex (geometry), Vertex figure, Wythoff symbol.
Abstract polytope
In mathematics, an abstract polytope is an algebraic partially ordered set or poset which captures the combinatorial properties of a traditional polytope, but not any purely geometric properties such as angles, edge lengths, etc.
New!!: Tetrahemihexahedron and Abstract polytope · See more »
Antiparallelogram
In geometry, an antiparallelogram is a quadrilateral having, like a parallelogram, two opposite pairs of equal-length sides, but in which the sides of one pair cross each other.
New!!: Tetrahemihexahedron and Antiparallelogram · See more »
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
New!!: Tetrahemihexahedron and Cambridge University Press · See more »
Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below.
New!!: Tetrahemihexahedron and Covering space · See more »
Coxeter–Dynkin diagram
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).
New!!: Tetrahemihexahedron and Coxeter–Dynkin diagram · See more »
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
New!!: Tetrahemihexahedron and Cuboctahedron · See more »
Cupola (geometry)
In geometry, a cupola is a solid formed by joining two polygons, one (the base) with twice as many edges as the other, by an alternating band of isosceles triangles and rectangles.
New!!: Tetrahemihexahedron and Cupola (geometry) · 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!!: Tetrahemihexahedron and Dual polyhedron · See more »
Euler characteristic
In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.
New!!: Tetrahemihexahedron and Euler characteristic · See more »
Face (geometry)
In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.
New!!: Tetrahemihexahedron and Face (geometry) · 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!!: Tetrahemihexahedron and Geometry · See more »
Hemi-cuboctahedron
A hemi-cuboctahedron is an abstract polyhedron, containing half the faces of a semiregular cuboctahedron.
New!!: Tetrahemihexahedron and Hemi-cuboctahedron · See more »
Hemi-octahedron
A hemi-octahedron is an abstract regular polyhedron, containing half the faces of a regular octahedron.
New!!: Tetrahemihexahedron and Hemi-octahedron · See more »
Hemipolyhedron
In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center.
New!!: Tetrahemihexahedron and Hemipolyhedron · 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!!: Tetrahemihexahedron and Magnus Wenninger · See more »
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
New!!: Tetrahemihexahedron and Octahedron · See more »
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
New!!: Tetrahemihexahedron and Orientability · See more »
Perpendicular
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).
New!!: Tetrahemihexahedron and Perpendicular · See more »
Prism (geometry)
In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.
New!!: Tetrahemihexahedron and Prism (geometry) · See more »
Prismatic uniform polyhedron
In geometry, a prismatic uniform polyhedron is a uniform polyhedron with dihedral symmetry.
New!!: Tetrahemihexahedron and Prismatic uniform polyhedron · See more »
Projective polyhedron
In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane.
New!!: Tetrahemihexahedron and Projective polyhedron · See more »
Real projective plane
In mathematics, the real projective plane is an example of a compact non-orientable two-dimensional manifold; in other words, a one-sided surface.
New!!: Tetrahemihexahedron and Real projective plane · See more »
Right triangle
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle).
New!!: Tetrahemihexahedron and Right triangle · See more »
Roman surface
The Roman surface or Steiner surface is a self-intersecting mapping of the real projective plane into three-dimensional space, with an unusually high degree of symmetry.
New!!: Tetrahemihexahedron and Roman surface · See more »
Stellation
In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.
New!!: Tetrahemihexahedron and Stellation · 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!!: Tetrahemihexahedron and Tetrahedron · See more »
Tetrahemihexahedron
In geometry, the tetrahemihexahedron or hemicuboctahedron is a uniform star polyhedron, indexed as U4.
New!!: Tetrahemihexahedron and Tetrahemihexahedron · See more »
Uniform polyhedron
A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
New!!: Tetrahemihexahedron and Uniform polyhedron · See more »
Uniform star polyhedron
In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.
New!!: Tetrahemihexahedron and Uniform star polyhedron · See more »
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
New!!: Tetrahemihexahedron and Vertex (geometry) · See more »
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
New!!: Tetrahemihexahedron and Vertex figure · See more »
Wythoff symbol
In geometry, the Wythoff symbol represents a Wythoff construction of a uniform polyhedron or plane tiling, from a Schwarz triangle.
New!!: Tetrahemihexahedron and Wythoff symbol · See more »
Redirects here:
References
[1] https://en.wikipedia.org/wiki/Tetrahemihexahedron
