Hypertopes with Tetrahedral Diagram

Nuclei with Tetrahedral Symmetry

Received Revised We discuss a point-group-theory based method of searching for new regions of nuclear stability. We illustrate the related strategy with realistic calculations employing the tetrahedral and the octahedral point groups. In particular, several nuclei in the Rare Earth region appear as excellent candidates to study the new mechanism.

Phase diagram of a tetrahedral patchy particle model for different interaction ranges

We evaluate the phase diagram of the Kern–Frenkel patchy model with four interaction sites for four different values of the radial interaction range all in the single-bond-per-patch regime keeping the area of the interaction patches fixed. Four stable crystal phases are investigated, namely diamond cubic DC , bcc, fcc, and plastic fcc. The DC is favored at low temperatures and pressures, while ...

Atomic Nuclei with Tetrahedral and Octahedral Symmetries

We present possible manifestations of octahedral and tetrahedral symmetries in nuclei. These symmetries are associated with the O h and T d double point groups. Both of them have very characteristic finger-prints in terms of the nucleonic level properties unique in the Fermionic universe. The tetrahedral symmetry leads to the four-fold degeneracies in the nucleonic spectra; it does not preserve...

Tetrahedral Mesh Generation with Good Dihedral Angles

Tetrahedral Mesh Generation with Good Dihedral Angles Using Point Lattices by François Labelle Doctor of Philosophy in Computer Science University of California, Berkeley Professor Jonathan Shewchuk, Chair Three-dimensional meshes are frequently used to perform physical simulations in science and engineering. This involves decomposing a domain into a mesh of small elements, usually tetrahedra o...

Multi-phase Volume Segmentation with Tetrahedral Mesh