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For instance, the magic number 8 occurs when the 1s 1/2, 1p 3/2, 1p 1/2 energy levels are filled, as there is a large energy gap between the 1p 1/2 and the next highest 1d 5/2 energy levels. The atomic analog to nuclear magic numbers are those numbers of electrons leading to discontinuities in the ionization energy.
Yet to be determined is whether a 3 × 3 square exists from which a magic square can be derived that, in turn, yields a third magic square—a magic triplet. Also unknown is the number of 4 × 4 and 5 × 5 language-dependent alphamagic squares. In 2018, the first 3 × 3 Russian alphamagic square was found by Jamal Senjaya.
The numbers of nucleons for which shells are filled are called magic numbers. Magic numbers of 2, 8, 20, 28, 50, 82 and 126 have been observed for neutrons, and the next number is predicted to be 184. [6] [27] Protons share the first six of these magic numbers, [28] and 126 has been predicted as a magic proton number since the 1940s. [29]
An n-pointed magic star is a star polygon with Schläfli symbol {n/2} [1] in which numbers are placed at each of the n vertices and n intersections, such that the four numbers on each line sum to the same magic constant. [2] A normal magic star contains the integers from 1 to 2n with no numbers repeated. [3]
The odd and even numbers alternate in the periphery of the Lo Shu pattern; the four even numbers are at the four corners, and the five odd numbers (which outnumber the even numbers by one) form a cross in the center of the square. The sums in each of the three rows, in each of the three columns, and in both diagonals, are all 15.
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“The magic number is your full final salary times the number of years you expect to be retired. For example, if you plan to retire for 20 years and make $80,000 a year, you’ll need about $1.6 ...
The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3. In mathematics, especially historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.