In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate...

theorem of absolute geometry (hence valid in both hyperbolic and Euclidean Geometry), proves that if the angles of a pair of alternate angles of a transversal...

requires the use of Proposition 27 (the Alternate Interior Angle Theorem), it is a valid construction in absolute geometry. More precisely, given any line l...

non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the...

theory Alternation (formal language theory), the set union of two sets of strings in formal language theory and pattern matching Alternation (geometry), a...

Uniform polyhedron Uniform 4-polytope Bitruncation (geometry) Rectification (geometry) Alternation (geometry) Conway polyhedron notation Truncated cone Coxeter...

transformation geometry. Such transformation geometry lessons present an alternate view that contrasts with classical synthetic geometry. When students...

Molecular geometry is the three-dimensional arrangement of the atoms that constitute a molecule. It includes the general shape of the molecule as well...

In geometry, inversive geometry is the study of inversion, a transformation of the Euclidean plane that maps circles or lines to other circles or lines...

In geometry, direction, also known as spatial direction or vector direction, is the common characteristic of all rays which coincide when translated to...