heterosquare

heterosquare
An n-by-n arrangement of n numbers such that the numbers in each row, in each column and along both diagonals all have different sums.

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  • Heterosquare — A heterosquare of order n is an arrangement of the integers 1 to n ² in a square, such that the rows, columns, and diagonals all sum to different values. There are no heterosquares of order 2, but heterosquares exist for any order n ≥ 3. Order 3… …   Wikipedia

  • Magic square — In recreational mathematics, a magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.[1] A normal magic… …   Wikipedia

  • Antimagic square — An antimagic square of order n is an arrangement of the numbers 1 to n ² in a square, such that the n rows, the n columns and the two diagonals form a sequence of 2 n + 2 consecutive integers. The smallest antimagic squares have order 4. In each… …   Wikipedia

  • List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

  • antimagic square — noun A heterosquare in which the sums form a sequence of consecutive numbers …   Wiktionary

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