Magic Hexagon of Order-4 with Star Configuration: A Study on Symmetry and Combinatorial Patterns

Abstract-This paper presents a new magic hexagon of Order-4 with 24 cells, which exhibits a unique star configuration inside the hexagon. The hexagon follows distinct combinatorial patterns where all combinations of selected numbers result in equal sums. A total of 52 combinations are identified with a constant sum of 190, making this work significant in the study of mathematical patterns and symmetry.