fundamental region

fundamental region

[¦fən·də¦ment·əl ′rē·jən]
(mathematics)
Any region in the complex plane that can be mapped conformally onto all of the complex plane.
Mentioned in ?
References in periodicals archive ?
They begin by describing Hecke's main correspondence theorem and establish a couple of useful lemmas, then work through a fundamental region.
These are two four-sided polygons that tile the plane only in a nonperiodic way, that is, without a fundamental region that repeats periodically like the hexagonal tiling of a bathroom floor, or the amazing tesselations of the Dutch artist M.
Finally, students repeatedly traced around their fundamental regions five times on a sheet of paper.
To consider transitional, reflective, and rotational symmetry, each student examined a sample of Escher's artwork and followed the activity of one of the fundamental regions as it is repeated in his artwork.

Full browser ?