منابع مشابه
Quasi-regular Tessellation of Hexagons
A tessellation is a process that surrounds us every day. It is an old problem in mathematics and in computational geometry Preparata, 1985 . Several tessellations are known, although only some of them are interesting in the computational geometry. The main aim of the tessellation is to tile or divide the space of the interest into smaller parts tiles upon which other problems could be solved mo...
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By a regular tessellation, we mean any hyperbolic 3-manifold tessellated by ideal Platonic solids such that the symmetry group acts transitively on oriented flags. A regular tessellation has an invariant we call the cusp modulus. For small cusp modulus, we classify all regular tessellations. For large cusp modulus, we prove that a regular tessellations has to be infinite volume if its fundament...
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For a G-variety X with an open orbit, we define its boundary ∂X as the complement of the open orbit. The action sheaf SX is the subsheaf of the tangent sheaf made of vector fields tangent to ∂X. We prove, for a large family of smooth spherical varieties, the vanishing of the cohomology groups Hi(X,SX) for i > 0, extending results of F. Bien and M. Brion [BB96]. We apply these results to study t...
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The topic of amodal completion has often been investigated by using partly occluded shapes that are regular. In research that has typically been done with displays such as these regular shapes, it has been shown that global aspects of a shape can determine completion. To see how robust these global influences in the completion process are, we investigated quasi-regular shapes, ie shapes with a ...
متن کاملA‰ne-regular hexagons of extreme areas inscribed in a centrally symmetric convex body
Let M be a planar centrally symmetric convex body. If H is an a‰ne regular hexagon of the smallest (the largest) possible area inscribed in M, then M contains (respectively, the interior of M does not contain) an additional pair of symmetric vertices of the a‰neregular 12-gon TH whose every second vertex is a vertex of H. Moreover, we can inscribe in M an octagon whose three pairs of opposite v...
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ژورنال
عنوان ژورنال: Journal of Computing and Information Technology
سال: 2001
ISSN: 1330-1136,1846-3908
DOI: 10.2498/cit.2001.03.08