Perfect colorings of patterns with multiple orbits
2019 ◽
Vol 75
(6)
◽
pp. 814-826
This paper studies colorings of patterns with multiple orbits, particularly those colorings where the orbits share colors. The main problem is determining when such colorings become perfect. This problem is attacked by characterizing all perfect colorings of patterns through the construction of sufficient and necessary conditions for a coloring to be perfect. These results are then applied on symmetrical objects to construct both perfect and non-perfect colorings.
2017 ◽
Vol E100.A
(9)
◽
pp. 2013-2020