2000/01/01 by Wilhelm Plesken, T. Schulz · 1 citation
Mathematics · Computer Science · #Geometric and Algebraic Topology #semigroups and automata theory #Finite Group Theory Research #Mathematics #Dimension (graph theory) #Computation #Group (periodic table) #Space (punctuation) #Construct (python library) #Combinatorics #Discrete mathematics #Algorithm #Computer science #Physics
paper · doi:10.1080/10586458.2000.10504417
openalex publication_date 2000/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
We present the results of our computations concerning the space groups of dimension 5 and 6. We find 222 018 and 28927922 isomorph ism types of these groups, respectively. Some overall statistics on the number of Q-classes and Z-classes in dimensions up to six are provided. The computations were done with the package CARAT, which can parametrize, construct and identify all crystallographic groups up to dimension 6.