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A simplicial 3-arrangement of 22 planes

✍ Scribed by G. L. Alexanderson; J. E. Wetzel


Publisher
Springer
Year
1986
Tongue
English
Weight
242 KB
Volume
21
Category
Article
ISSN
0046-5755

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We show in this paper that the projective d-arrangement I$ a formed by the facet hyperplanes of a cross-polytope, its hyperplanes of mirror symmetry, and the hyperplane at infinity is simplicial precisely for d ~< 4. The arrangement 1$ 4 is the only simplicial d-arrangement presently known that doe

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## on the occasion of his 70th birthday With the formation of three different Ga 22 frameworks in metalloid clusters, the element gallium assumes a unique position in the field of metal clusters, [1] since to our knowledge, structural isomers of large metalloid clusters are not known to date for an