منابع مشابه
non-obtuse dihedral angles
Given a combinatorial description C of a polyhedron having E edges, the space of dihedral angles of all compact hyperbolic polyhedra that realize C is generally not a convex subset of R [9]. If C has five or more faces, Andreev’s Theorem states that the corresponding space of dihedral angles AC obtained by restricting to non-obtuse angles is a convex polytope. In this paper we explain why Andre...
متن کاملDihedral angles and orthogonal polyhedra
Consider an orthogonal polyhedron, i.e., a polyhedron where (at least after a suitable rotation) all faces are perpendicular to a coordinate axis, and hence all edges are parallel to a coordinate axis. Clearly, any facial angle (i.e., the angle of a face at an incident vertex) is a multiple of π/2. Also, any dihedral angle (i.e., the angle between two planes that support to faces with a common ...
متن کاملTetrahedral 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...
متن کاملDisulfide bond dihedral angles from Raman spectroscopy.
Raman spectra of several compounds containing the CS-SC moiety were obtained (in the solid phase) from 450-800 cm(-1) to investigate the S-S and C-S stretching behavior. The S-S stretching frequency varied linearly with the CS-SC dihedral angle (obtained from either x-ray or neutron diffraction or ultraviolet absorption) for compounds whose CC-SS dihedral angles were not very different. The rat...
متن کاملCircular clustering of protein dihedral angles by Minimum Message Length.
Early work on proteins identified the existence of helices and extended sheets in protein secondary structures, a high-level classification which remains popular today. Using the Snob program for information-theoretic Minimum Message Length (MML) classification, we are able to take the protein dihedral angles as determined by X-ray crystallography, and cluster sets of dihedral angles into group...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2000
ISSN: 0862-7940,1572-9109
DOI: 10.1023/a:1022329432636