In geometry, a truncated projective plane (TPP), also known as a dual affine plane, is a special kind of a hypergraph or geometric configuration that...

complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can be...

especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action...

hexagons. The truncated cuboctahedron has two special orthogonal projections in the A2 and B2 Coxeter planes with [6] and [8] projective symmetry, and...

In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...

variations of the truncated icosidodecahedron with isogonal faces. The truncated dodecahedron, rhombicosidodecahedron, and truncated icosahedron as degenerate...

the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...

absolute is a real curve then the part of the projective plane in its interior is isometric to the hyperbolic plane..." The discovery of hyperbolic geometry...

with a region including its apex cut off by a plane is called a truncated cone; if the truncation plane is parallel to the cone's base, it is called a...

possible. An example of an extremal hypergraph is the truncated projective plane - the projective plane of order r-1 in which one vertex and all lines containing...

proved by András Gyárfás. The inequality is sharp: Let Hr- be the truncated projective plane of order r – 1. Then ν(Hr-) = 1 since every two hyperedges intersect...

typically obtained by taking a geometrical frustum—that is a truncation with parallel planes—of the pyramid of vision, which is the adaptation of (idealized)...

In projective geometry, a cylinder is simply a cone whose apex (vertex) lies on the plane at infinity. If the cone is a quadratic cone, the plane at infinity...

(Projective polyhedron) Hemicube Hemi-octahedron Hemi-dodecahedron Hemi-icosahedron Archimedean solid Truncated tetrahedron Cuboctahedron Truncated cube...

In mathematical optimization, the cutting-plane method is any of a variety of optimization methods that iteratively refine a feasible set or objective...

In geometry, the truncated square tiling is a semiregular tiling by regular polygons of the Euclidean plane with one square and two octagons on each vertex...

cube's vertices can be truncated, and the resulting polyhedron is the Archimedean solid, the truncated cube. When its edges are truncated, it is a rhombicuboctahedron...

when n = r – 1 is a prime power, and all colors are edges of the truncated projective plane of order n. So each color has n2 = rn – r + 1 edges and a fractional...

and a truncated octahedron forms the truncated cuboctahedron, while the Minkowski sum of the cube and the rhombic dodecahedron forms the truncated rhombic...

for truncated icosidodecahedral rhombus, with icosidodecahedral rhombus being his name for a rhombic triacontahedron. There are different truncations of...

a truncated cone in either first-angle or third-angle projection, as shown by the diagram on the right. The 3D interpretation is a solid truncated cone...

projective polyhedra (tessellations of the real projective plane) – just as the sphere has a 2-to-1 covering map of the projective plane, projective polyhedra...

paper De solido hyperbolico acuto, written in 1643, a truncated acute hyperbolic solid, cut by a plane. Volume 1, part 1 of his Opera geometrica published...

of this period was the systematic study of projective geometry by Girard Desargues (1591–1661). Projective geometry studies properties of shapes which...

of view of projective geometry, an elliptic paraboloid is an ellipsoid that is tangent to the plane at infinity. Plane sections The plane sections of...

methods: these include Khachiyan's ellipsoidal algorithm, Karmarkar's projective algorithm, and path-following algorithms. The Big-M method is an alternative...

"Klein quartic" referred specifically to the subset of the complex projective plane P2(C) defined by an algebraic equation. This has a specific Riemannian...

spheroid, ellipsoid, paraboloid and hyperboloids. Advanced topics include: projective geometry of three dimensions (leading to a proof of Desargues' theorem...

Symmetric rank-one (SR1) Other methods Conjugate gradient Gauss–Newton Gradient Mirror Levenberg–Marquardt Powell's dog leg method Truncated Newton...

through Pappus. Both cubical dice and 14-sided dice in the shape of a truncated octahedron in China have been dated back as early as the Warring States...