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.
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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.
The Directory is complemented by highlighted sponsor listings from carefully selected institutions and editorial focusing on Ukraine and Russia - two fundamental regions for investment.

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