Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140366 | Mathematics and Computers in Simulation | 2011 | 10 Pages |
Abstract
We provide a definition of a diametric magic circle of order n. In this paper, we use techniques in computational algebraic combinatorics and enumerative geometry to construct and to count d-magic circles. We also provide a description of its minimal Hilbert basis and determine the symmetry operations on d-magic circles. Finally, we give an algorithm for writing a natural d-magic circle in terms of the minimal Hilbert basis.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
R.E. Garcia, M.A. Lane, B.M. Loft,