quasiregular

Adjective

 * 1) Having some regular characteristics.
 * 2)  That is semiregular with regular faces of precisely two types that alternate around each vertex.
 * 3) * 2007, V. A. Blatov, O. Delgado-Friedrichs, M. O'Keeffe, D. M. Proserpio, Periodic nets and tilings: possibilities tor analysis and design of porous materials: Proceedings of the 15th International Zeolite Conference, Ruren Xu, Jiesheng Chen, Zi Gao, Wenfu Yan (editors), From Zeolites to Porous MOF Materials, page 1642,
 * If we allow the coordination figure to be a quasiregular polyhedron (a polyhedron with one kind of vertex and edge, but two kinds of face) there is just one possibility compatible with translational symmetry – a cuboctahedron.
 * 1)  Such that 1 − r is a unit (has a multiplicative inverse).
 * 2)  Having certain properties in common with holomorphic functions of a single complex variable.
 * 3) * 1999, S. Mueller, Variational models for microstructure and phase transitions, F. Bethuel, G. Huisken, S. Mueller, K. Steffen (editors),Calculus of Variations and Geometric Evolution Problems, Springer, Lecture Notes in Mathematics, Volume 1713, page 108,
 * An alternative proof that features an interesting connection with the theory of quasiconformal (or more precisely quasiregular) maps proceeds as follows.
 * 1)  That is the result of a required adjustment of an  that would, unadjusted, give rise to (only) a.
 * 2) * 1988, I. M. Gelfand, M. I. Graev, 3: Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry, Izrail M. Gelfand, Collected Papers, Volume II, page 357,
 * We first decompose the quasiregular representations of a complex semi-simple Lie group into irreducible ones. A representation of the group G given by the formula
 * Tg&#x1D453;(h) = &#x1D453;(hg)
 * in the fundamental affine space H = G/Z is called quasiregular.
 * 1) * 1998, Vladimir F. Molchanov, Discrete series and analyticity, Joachim Hilgert, Jimmie D. Lawson, Karl-Hermann Leeb, Ernest B. Vinberg (editors), Positivity in Lie Theory: Open Problems,De Gruyter Expositions in Mathematics, Volume 26, page 188,
 * As it is known (see [11], [13], [21], [22]), the quasiregular representation on the hyperboloid decomposes into two series of irreducible unitary representations: continuous and discrete.
 * 1) * 2008, André Unterberger, Alternative Pseudodifferential Analysis: With an Application to Modular Forms, Springer, Lecture Notes in Mathematics, Volume 1935, page 6,
 * Note that the representation Met(2), contrary to the quasiregular representation of the same group, does not act by changes of coordinates only.
 * 1) * 1988, I. M. Gelfand, M. I. Graev, 3: Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry, Izrail M. Gelfand, Collected Papers, Volume II, page 357,
 * We first decompose the quasiregular representations of a complex semi-simple Lie group into irreducible ones. A representation of the group G given by the formula
 * Tg&#x1D453;(h) = &#x1D453;(hg)
 * in the fundamental affine space H = G/Z is called quasiregular.
 * 1) * 1998, Vladimir F. Molchanov, Discrete series and analyticity, Joachim Hilgert, Jimmie D. Lawson, Karl-Hermann Leeb, Ernest B. Vinberg (editors), Positivity in Lie Theory: Open Problems,De Gruyter Expositions in Mathematics, Volume 26, page 188,
 * As it is known (see [11], [13], [21], [22]), the quasiregular representation on the hyperboloid decomposes into two series of irreducible unitary representations: continuous and discrete.
 * 1) * 2008, André Unterberger, Alternative Pseudodifferential Analysis: With an Application to Modular Forms, Springer, Lecture Notes in Mathematics, Volume 1935, page 6,
 * Note that the representation Met(2), contrary to the quasiregular representation of the same group, does not act by changes of coordinates only.

Usage notes
In geometry, the term inherits problems associated with, which is sometimes defined differently by different authors and occasionally used inconsistently by individual authors. Perhaps the most common "error" is to consider only convex polyhedra. (See ) There are precisely two convex quasiregular polyhedra: the cuboctahedron and the icosidodecahedron.