Regular surface information

In mathematics, regular surface may refer to: Regular surface (differential geometry) Non-singular algebraic variety of dimension two This disambiguation...

many classic examples of regular surfaces, including: familiar examples such as planes, cylinders, and spheres minimal surfaces, which are defined by the...

hexagon and its net is usually depicted as a cross. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges...

automaton (related to the regular expression) Regular map (graph theory), a symmetric tessellation of a closed surface Regular matroid, a matroid which...

on the surface of the Earth with certain instruments are however referred to the geoid. The ellipsoid is a mathematically defined regular surface with specific...

Microsoft Surface is a line of personal computers, tablets, and interactive whiteboards designed and developed by Microsoft, most of them running the...

possible to isometrically immerse a complete hyperbolic plane (a complete regular surface of constant negative Gaussian curvature) in a three-dimensional Euclidean...

= 2 admits a new infinite class of regular polyhedra, which are the hosohedra. On a spherical surface, the regular polyhedron {2, n} is represented as...

length ϕ, and ri is the apothem of a regular pentagon of edge length ϕ. The surface area A and the volume V of a regular dodecahedron of edge length a are:...

repairs". GizmoChina. 22 March 2024. "Microsoft debuts major Surface overhauls that regular people can't buy". Ars Technica. 22 March 2024. v t e v t e...

}{2}}a\approx 0.809a.} The surface area of polyhedra is the sum of its every face. Therefore, the surface area of regular icosahedra A {\displaystyle...

the surface of other plants - have developed cups and scales that gather rainwater or dew. The aerial roots in this case work as regular surface roots...

covariant derivative and g is the metric tensor. At a point p on a regular surface in R3, the Gaussian curvature is also given by K ( p ) = det S ( p...

function of algebraic varieties a regular map (graph theory), a symmetric 2-cell embedding of a graph into a closed surface This disambiguation page lists...

The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface...

Specular reflection, or regular reflection, is the mirror-like reflection of waves, such as light, from a surface. The law of reflection states that a...

geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent...

two choices of the unit normal vector to a surface at a given point, but for a regular parametrized surface, the preceding formula consistently picks one...

\varphi }{\partial u_{2}}}\right|^{2}=\det(\lambda ^{T}\lambda )} For a regular surface, this determinant is non-vanishing; equivalently, the Jacobian matrix...

every vertex is regular. Uniform: vertex-transitive and every face is a regular polygon, i.e., it is regular, quasi-regular or semi-regular. A uniform dual...

above the surface on other plants, aerial roots serve for reaching to water sources or reaching the surface, and then functioning as regular surface roots...

element. Freeform surfaces do not have rigid radial dimensions, unlike regular surfaces such as planes, cylinders and conic surfaces. They are used to...

commonly used for building facades and other areas where the surface will come into regular contact with the elements. While being resilient, it must be...