Equidecomposability of polyhedra with reference to crystallographic groups
نویسندگان
چکیده
منابع مشابه
a comparative study of language learning strategies employmed by bilinguals and monolinguals with reference to attitudes and motivation
هدف از این تحقیق بررسی برخی عوامل ادراکی واحساسی یعنی استفاده از شیوه های یادگیری زبان ، انگیزه ها ونگرش نسبت به زبان انگلیسی در رابطه با زمینه زبانی زبان آموزان می باشد. هدف بررسی این نکته بود که آیا اختلافی چشمگیر میان زبان آموزان دو زبانه و تک زبانه در میزان استفاده از شیوه های یادگیری زبان ، انگیزه ها نگرش و سطح مهارت زبانی وجود دارد. همچنین سعی شد تا بهترین و موثرترین عوامل پیش بینی کننده ...
15 صفحه اولComputing with Crystallographic Groups
Algorithms are presented for the computation with crystallographic groups of arbitrary dimension, in particular for the determination of the Wyckoff positions and maximal subgroups of a space group, and for the determination of all space group types for a given point group. These algorithms have been implemented in the computer algebra system GAP, and are made publically available. The capabili...
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Hilbert's third problem: brief reminder. It is known that in a plane, every two polygons P and P ′ of equal area A(P ) = A(P ′) are scissors congruent (equidecomposable) i.e., they can be both decomposed into the same nite number of pair-wise congruent polygonal pieces: P = P1 ∪ . . . ∪ Pp, P ′ = P ′ 1 ∪ . . . ∪ P ′ p, and Pi ∼ P ′ i . In one of the 23 problems that D. Hilbert formulated in 1...
متن کاملCocompactly cubulated crystallographic groups
We prove that the simplicial boundary of a CAT(0) cube complex admitting a proper, cocompact action by a virtually Z group is isomorphic to the hyperoctahedral triangulation of Sn−1, providing a class of groups G for which the simplicial boundary of a G-cocompact cube complex depends only on G. We also use this result to show that the cocompactly cubulated crystallographic groups in dimension n...
متن کاملTranslation Equidecomposability
Expository piece on M. Laczkovich’s ”Equidecomposability and discrepancy; a solution of Tarski’s circle-squaring problem.” A criterion for translation equidecomposability of two Jordan domains is given with an application.
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 1988
ISSN: 0179-5376,1432-0444
DOI: 10.1007/bf02187920