We present a method for discovering dense packings of general convex hard particles and apply it to study the dense packing behavior of a one-parameter family of particles with tetrahedral symmetry representing a deformation of the ideal mathematical tetrahedron into a less ideal, physical, tetrahedron and all the way to the sphere. Thus, we also connect the two well-studied problems of sphere ...

This paper presents a concept of voltage-vector in three-dimensional space vector modulation for four-leg active filter which are developed based on Euler angle rotation method, and its produces a skewed rod shape consisting of twelve-pairs of asymmetrical tetrahedron nonzero switching vector in which voltage-vector reference is determined by four-pairs of its tetrahedron. Voltage-vector refere...

Abstract Ba 3 Yb 2 Zn 5 O 11 is exceptional among breathing pyrochlore compounds for being in the nearly-decoupled limit where inter-tetrahedron interactions are weak, hosting isolated clusters or molecular magnet-like tetrahedra of magnetic ytterbium (Yb 3+ ) ions. In this work, we present study carried out on single-crystal samples , using a variety magnetometry and neutron scattering techniq...

( l ) (a) Walborsky, H.M.; Young, A. E. J. Am. Chem. Soc. 1961,83, 2595. (b) Walborsky, H. M.; Young, A. E. J. Am. Chem. Soc. 1964, 86,3288. (c) Wafborsky, H. M.; Aronoff, M. S. "/. Organomet. Chem. 1973, 5i,,31. (d) Walborsky, H. M.; Banks, R. B. Bul / . Soc. Chim. Belg.1980,89,849. (2) Ruchardt , C. ; Trautwein, H. Chem. Ber. 1962,95, 1197. (3) Patel , D. J. ;Hami l ton, C. L. ;Roberts, J.D. ...

Aus den Rezensionen: This is a very well written survey of some topics in the geometry of the tetrahedron. Although the subject belongs to that 19th century monument that has been systematically neglected called oldfashioned geometry, the method of solution employed throughout the paper is that of linear algebra, and the paper can be read as making a brilliant point for the teaching of linear a...