In geometry, a vertex arrangement is a set of points in space described by their relative positions. They can be described by their use in polytopes. For...

the rhombicosidodecahedron. The rhombicosidodecahedron shares the vertex arrangement with the small stellated truncated dodecahedron, and with the uniform...

used in rendering by a vertex shader, part of the vertex pipeline. Vertex arrangement Vertex figure Weisstein, Eric W. "Vertex". MathWorld. "Vertices...

(3.5)2. It has variously been called a vertex description, vertex type, vertex symbol, vertex arrangement, vertex pattern, face-vector. It is also called...

cube has 16 triangles, 12 squares, and 4 octagons. It shares the vertex arrangement with three nonconvex uniform polyhedra: The truncated cube is related...

their vertex arrangements. Regular polyhedra are labeled by their Schläfli symbol. Other nonregular uniform polyhedra are listed with their vertex configuration...

is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure. This implies that each vertex is surrounded by...

Eight uniform star polyhedra share the same vertex arrangement. Of these, two also share the same edge arrangement: the small icosihemidodecahedron (having...

infinitely many square tiling existing around each vertex in an order-5 square tiling vertex arrangement. It a part of a sequence of regular polychora and...

geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off. Take some corner or vertex of a polyhedron...

three pentagrams meeting at each vertex. It shares its vertex arrangement, although not its vertex figure or vertex configuration, with the regular dodecahedron...

creates two offset copies of the square tiling vertex arrangement of the plane: Its vertex arrangement represents an A3 lattice or D3 lattice. This lattice...

Arrangement (space partition), a partition of the space by a set of objects of a certain type Arrangement of hyperplanes Arrangement of lines Vertex arrangement...

meeting at each vertex. It shares the same vertex arrangement as the convex regular icosahedron. It also shares the same edge arrangement with the great...

same vertex arrangement and edge arrangement of 3 convex uniform honeycombs. 6 squares around each vertex: {4,6|4} 4 hexagons around each vertex: {6,4|4}...

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...

infinitely many octahedra existing around each vertex in an order-5 square tiling vertex arrangement. It a part of a sequence of regular polychora and...

crossed isosceles trapezia (crossed quadrilaterals with the same vertex arrangement as isosceles trapezia). A rectangle is cyclic: all corners lie on...

It has the same vertex arrangement as the square, and is vertex-transitive. It appears as two 45-45-90 triangles with a common vertex, but the geometric...

infinitely many dodecahedra existing around each vertex in an order-7 triangular tiling vertex arrangement. It a part of a sequence of regular polytopes...

a prism with 2 triangular bases. If the edges pair with each triangle's vertex and if they are perpendicular to the base, it is a right triangular prism...

infinitely many tetrahedra existing around each vertex in an order-7 triangular tiling vertex arrangement. It is a part of a sequence of regular polychora...

infinitely many icosahedra existing around each vertex in an order-4 pentagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb...

constructed from 221 facets and has a 122 vertex figure, with 54 221 polytopes around every vertex. Its vertex arrangement is the E6 lattice, and the root system...

The 24-cell is also regular, and made purely of octahedra whose vertex arrangement represents the ring of Hurwitz integral quaternions. Both the tesseract...

with infinitely many cubes existing around each vertex in an order-7 triangular tiling vertex arrangement. It is one of a series of regular polytopes and...

segment" digons, as the two possible alternations of a square (note the vertex arrangement). The apeirogonal hosohedron, containing infinitely narrow digons...

honeycombs, the simplest of which is 621 whose vertex figure is the 521 honeycomb: the vertex arrangement of the densest-possible packing of spheres in...

infinitely many hexagonal tilings existing around each vertex in an order-6 pentagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb...

infinitely many octagonal tilings existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb...