Patterns for teaching three-dimensional space group symmetry
نویسندگان
چکیده
منابع مشابه
Teaching crystallographic and magnetic point group symmetry using three-dimensional rendered visualizations
This electronic edition may be freely copied and redistributed for educational or research purposes only. It may not be sold for profit nor incorporated in any product sold for profit without the express permission of the Executive Secretary, International
متن کاملSymmetry group classification of three-dimensional Hamiltonian systems
Keywords-Hami l ton ian systems, Symmetry groups, Classification. 1. I N T R O D U C T I O N In [1], the Lie point symmet ry groups of a Hamiltonian system with two degrees of freedom were completely classified. In tha t case, a maximum dimension of 15 was obtained for a free particle and all dimensions between 1 and 7. We should clarify tha t we are dealing only with point t ransformations. In...
متن کاملSymmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation
In this paper Lie point symmetries, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation are investigated. First of all Lie symmetries are obtained by using the general method based on invariance condition of a system of differential equations under a prolonged vector field. Then the structure of symmetry ...
متن کاملThree Dimensional Symmetry from Two Dimensional Data
In previous applications, bilateral symmetry of objects was used either as a descriptive feature in domains such as recognition and grasping, or as a way to reduce the complexity of structure from motion. In this paper we propose a novel application, using the symmetry property to \symmetrize" data before and after reconstruction. We rst show how to compute the closest symmetric 2D and 3D conng...
متن کاملA topology control algorithm for autonomous underwater robots in three-dimensional space using PSO
Recently, data collection from seabed by means of underwater wireless sensor networks (UWSN) has attracted considerable attention. Autonomous underwater vehicles (AUVs) are increasingly used as UWSNs in underwater missions. Events and environmental parameters in underwater regions have a stochastic nature. The target area must be covered by sensors to observe and report events. A ‘topology cont...
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: Acta Crystallographica Section A Foundations of Crystallography
سال: 1981
ISSN: 0108-7673
DOI: 10.1107/s0108767381089265