a generalized quadrangle is an incidence structure whose main feature is the lack of any triangles yet containing many quadrangles. A generalized quadrangle...

special cases projective planes (generalized triangles, n = 3) and generalized quadrangles (n = 4). Many generalized polygons arise from groups of Lie...

studied as combinatorial objects. A polar space of rank two is a generalized quadrangle; in this case, in the latter definition, the set of points of a...

n-gon that contains them both. Generalized 3-gons are projective planes. Generalized 4-gons are called generalized quadrangles. By the Feit-Higman theorem...

It is bipartite, and can be constructed as the Levi graph of the generalized quadrangle W2 (known as the Cremona–Richmond configuration). The graph is named...

alpha subunit, a class of proteins Generalized quadrangle, a type of incidence structure in mathematics Generalized quantifier, a type of expression in...

incidence structures 1. Fano plane 2. Non-uniform structure 3. Generalized quadrangle 4. Möbius–Kantor configuration 5. Pappus configuration An incidence...

It was studied by Cremona (1877) and Richmond (1900). It is a generalized quadrangle with parameters (2,2). Its Levi graph is the Tutte–Coxeter graph...

continue to be regular and vertex-transitive. H(2,3), which is the generalized quadrangle G Q (2,1) H(1,q), which is the complete graph Kq H(2,q), which is...

can be seen as the complement of the collinearity graph of the generalized quadrangle GQ(2, 4). The neighborhood of any vertex in the Schläfli graph forms...

of generalized quadrangles", Congressus Numerantium, 49: 115–128, MR 0830735 Payne, Stanley E.; Conklin, James E. (1978), "An unusual generalized quadrangle...

112 and 162 vertices. The former is the colinearity graph of the generalized quadrangle GQ(3,9). The latter is a strongly regular graph called the local...

buildings arise from a group. In particular, projective planes and generalized quadrangles form two classes of graphs studied in incidence geometry which...

Steven H. Cullinane. The Doily diagram often used to represent the generalized quadrangle GQ(2, 2) is also used to represent PG(3, 2). This was described...

linear space which is the unique triple cover with no 8-gons of the generalized quadrangle GQ(2,2). It is named after R. M. Foster, whose Foster census of...

finite type, via Gabriel's theorem. There is also a link with generalized quadrangles, as the three non-degenerate GQs with three points on each line...

line graph of K8, but these four graphs are not isomorphic. Every generalized quadrangle of order (s, t) gives an srg((s + 1)(st + 1), s(t + 1), s − 1, t...

Stevin Supplement, Vol. 55 1984: (with Stanley E. Payne) Finite generalized quadrangles, Pitman, 2nd edition 2009, European Mathematical Society 1991:...

|{\mathcal {L}}|} . Projective space Affine space Polar space Generalized quadrangle Generalized polygon Near polygon Shult, Ernest E. (2011), Points and Lines...

planes, projective spaces and projective planes, polar spaces, generalized quadrangles, and partial geometries. A central connecting concept is the "connection...

subgroups in 𝐺=PSp4(𝑞) with a system of conics in the associated generalized quadrangle provided an interpretation of symplectic 2-transvections. Classifying...

near polygons. These structures generalise the notion of generalized polygon as every generalized 2n-gon is a near 2n-gon of a particular kind. Near polygons...

D. De Caen; G. e. Moorhouse (1999). "The ρ-rank of the Sρ (4,ρ) Generalized Quadrangle" (PDF). Archived from the original (PDF) on 2012-06-19. Retrieved...

The Tolstoj quadrangle in the equatorial region of Mercury runs from 144 to 216° longitude and -25 to 25° latitude. It was provisionally called "Tir",...

The Borealis quadrangle is a quadrangle on Mercury surrounding the north pole down to 65° latitude. It was mapped in its entirety by the MESSENGER spacecraft...

t , s , α ) {\displaystyle \mathrm {pg} (t,s,\alpha )} ⁠. The generalized quadrangles are exactly those partial geometries p g ( s , t , α ) {\displaystyle...

Beethoven quadrangle is located in the equatorial region of Mercury, in the center of the area imaged by Mariner 10. Most pictures of the quadrangle were obtained...

a plane always intersect. Thus, given four points forming a complete quadrangle, the lines connecting the points cross in an additional three diagonal...

older temple, the work of excavation and exploration began in spite of generalized beliefs contrary to that hypothesis. On June 7, 1932, a box with coral...

Geologic map of the Flemingsburg quadrangle, Fleming and Mason Counties, Kentucky: U.S. Geological Survey Geologic Quadrangle Map, GQ-837, 1 sheet, scale 1:24...