WebSep 19, 2024 · 4×4 MAGIC SQUARE TRICK WITH 1 TO 16 NUMBERS EASY METHOD MAGIC WITH NUMBERS 1.9K views 3 months ago Solving 3×3 magic square of multiples of natural numbers Amazing … WebJun 14, 2009 · Since the square is known to be magic, we can assume from basic "magic theory" that the missing numbers are those absent at the moment from the series 1 to 16. The main insight then required...
Backtracking: Solving Magic Squares - CodeProject
WebJun 14, 2009 · View the question >> Since the square is known to be magic, we can assume from basic "magic theory" that the missing numbers are those absent at the moment from … WebTo solve the 4x4, we will use what is known as the reduction method. Essentially, this involves ‘reducing’ the cube to a state that can be solved as if it were a 3x3 cube, by solving the center pieces and pairing up the matching edge pieces. Solving The Centers The first step in solving the 4x4 is to solve the center pieces. birds of prey watch
Magic square 4x4 that sum to 38 - Puzzling Stack Exchange
WebNov 1, 2024 · 9! = 362,880 permutations; for a 4 x 4 square, 16! = 20,922,789,888,000 permutations; and for a 5 x 5 square, 25! = 1.551121E25, where “E25” means that 1551121 is followed by 19 zeros. Clearly, the approach of generating permutations to solve magic squares must be replaced by another trial-and-error method, that is, backtracking. WebApr 4, 2024 · We are going to use one of the groups for the diagonals, and the other for the edges. To be able to construct the diagonals, at least one of the groups needs to be further splittable into two equal parts of 4 numbers of total 38. Before that, I'd check on a couple of constraints based on parity, symmetry, and the smallest and largest values. WebIt is not difficult to solve this puzzle by proving two critical constraints of the 3x3 magic square: 1) The value of the common sum will be 15, which is also called the magic sum 2) … birds of prey wb