CARAT swMATH ID: 4293 Software Authors: J. Opgenorth, W. Plesken, T. Schulz; Franz Gähler Description: CARAT is a computer package which handles enumeration, construction, recognition, and comparison problems for crystallographic groups up to dimension 6. The name CARAT itself is an acronym for Crystallographic AlgoRithms And Tables. CARAT is a compilation of various programs written in C developed under HP-UX and Linux, and should be portable to most Unices. In particular CARAT does not come together with an environment, but relies on the ordinary unixes shell and files for input and output. This is one of the points which distiguishes CARAT from most other packages for computer algebra, like GAP. If you would like such a user interface, the current version of GAP comes with an interface to CARAT, which enables one to use the most important functions of CARAT, but not all. Computer algebra system (CAS). Homepage: https://lbfm-rwth.github.io/carat/ Source Code: https://github.com/lbfm-rwth/carat Dependencies: GAP Keywords: crystallographic groups Related Software: GAP; Magma; HAP; Carat; CrystCat; Orbifolder; CFX-5; nauty; pd; PORTA; cdd; Maxima; AutHyp; ccgch; MersenneTwister; REPSN; ANSYS; Polyhedral; Cryst; ANSYS-CFX Cited in: 47 Documents all top 5 Cited by 61 Authors 5 Szczepański, Andrzej 4 Schulz, Tilman 3 Dekimpe, Karel 3 Dutour-Sikiric, Mathieu 3 Lutowski, Rafał 3 Miatello, Roberto Jorge 3 Plesken, Wilhelm 3 Podestá, Ricardo A. 3 Schürmann, Achill 3 Vallentin, Frank 2 Bletzinger, Kai-Uwe 2 De Rock, Bram 2 Eick, Bettina 2 Gąsior, Anna 2 Hoshi, Akinari 2 Kupzok, Alexander 2 Malfait, Wim 2 Molnár, Emil 2 Putrycz, Bartosz 2 Rossetti, Juan Pablo 2 Sadowski, Michał 2 Souvignier, Bernd 2 Strebel, Ralph 2 Szirmai, Jenó 2 Tolcachier, Alejandro 2 Wüchner, Roland 2 Yamasaki, Aiichi 1 Athanasopoulos, Panos 1 Baake, Michael 1 Bettiol, Renato G. 1 Cid, Carlos Frederico 1 Console, Sergio 1 de Miranda e Pereiro, Carolina 1 Derdzinski, Andrzej 1 Donten-Bury, Maria 1 Faraggi, Alon E. 1 Fischer, Maximilian 1 Gilkey, Peter B. 1 Gonçalves, Daciberg Lima 1 Guaschi, John 1 Hałenda, Marek 1 Kang, Ming-Chang 1 Kitayama, Hidetaka 1 Mehta, Viraf M. 1 Mertens, Michael Helmut 1 Nibbelink, S. Groot 1 Ocampo Uribe, Oscar Eduardo 1 Opgenorth, Jürgen 1 Petrosyan, Nansen 1 Piccione, Paolo 1 Piwek, Paweł 1 Popović, David 1 Prok, István 1 Ratcliffe, John G. 1 Ratz, Michael 1 Roberts, John Anthony Gerard 1 Rump, Wolfgang 1 Torrado, Jesús 1 Tschantz, Steven Thomas 1 Vaudrevange, Patrick K. S. 1 Wilkes, Gareth all top 5 Cited in 31 Serials 6 Journal of Algebra 4 Journal of Geometry and Physics 3 Experimental Mathematics 2 Memoirs of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Elemente der Mathematik 2 Journal of High Energy Physics 1 International Journal for Numerical Methods in Fluids 1 Nonlinearity 1 Zeitschrift für Kristallographie 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Topology and its Applications 1 Mathematical and Computer Modelling 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 Electronic Research Announcements of the American Mathematical Society 1 Journal for Geometry and Graphics 1 Algebras and Representation Theory 1 Revista Matemática Complutense 1 Algebraic & Geometric Topology 1 Acta Crystallographica. Section A 1 International Journal of Quantum Chemistry all top 5 Cited in 20 Fields 30 Group theory and generalizations (20-XX) 11 Differential geometry (53-XX) 11 Manifolds and cell complexes (57-XX) 6 Number theory (11-XX) 6 Convex and discrete geometry (52-XX) 5 Algebraic geometry (14-XX) 4 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Computer science (68-XX) Citations by Year