Below you will find example sentences with "magic square". The examples show how this phrase is used in natural context and which words often surround it.
Magic Square in a sentence
Corpus data
- Displayed example sentences: 20
- Discovered as a combination around: magic
- Corpus frequency in the collocation scan: 13
- Phrase length: 2 words
- Average sentence length: 23.2 words
Sentence profile
- Phrase position: 13 start, 4 middle, 3 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis
- The phrase "magic square" has 2 words and usually appears near the start in these examples. The average sentence has 23.2 words and is mostly made up of statements.
- Around this phrase, patterns and context words such as 1 1 magic square with only, 3 3 magic square has been, order, squares and product stand out.
- In the phrase index, this combination connects with square miles, madison square, per square, magic squares and black magic, linking the page to nearby combinations.
Example types with magic square
This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:
Other component elements A geometric magic square. (7 words)
Dürer's magic square can also be extended to a magic cube. (12 words)
For example, a multiplicative magic square has a constant product of numbers. (12 words)
A multiplicative magic square can be derived from an additive magic square by raising 2 (or any other integer) to the power of each element, because the logarithm of the product of 2 numbers is the sum of logarithm of each. (41 words)
Construction similar to the Kronecker Product There is a method reminiscent of the Kronecker product of two matrices, that builds an nm × nm magic square from an n × n magic square and an m × m magic square. (37 words)
A method of constructing a magic square of doubly even order Doubly even means that n is an even multiple of an even integer; or 4p (e.g. 4, 8, 12), where p is an integer. (36 words)
Example sentences (20)
Construction similar to the Kronecker Product There is a method reminiscent of the Kronecker product of two matrices, that builds an nm × nm magic square from an n × n magic square and an m × m magic square.
A magic square that contains the integers from 1 to n 2 is called a normal magic square.
A multiplicative magic square can be derived from an additive magic square by raising 2 (or any other integer) to the power of each element, because the logarithm of the product of 2 numbers is the sum of logarithm of each.
A construction of a magic square of order 4 (This is reflection of Albrecht Dürer's square.) Go left to right through the square counting and filling in on the diagonals only.
Dürer's magic square can also be extended to a magic cube.
Method for constructing a magic square of order 3 In the 19th century, Édouard Lucas devised the general formula for order 3 magic squares.
The basic principle applied to magic squares is to randomly generate n × n matrices of elements 1 to n 2 and check if the result is a magic square.
The magic square of order three was described as a child-bearing charm Peter, J. Barta, The Seal-Ring of Proportion and the magic rings (2016), pp. 6-9.
Thus there is basically just one normal magic square of order 3. But the number of distinct normal magic squares rapidly increases for higher orders.
Variations of the magic square Extra constraints Euler diagram of requirements of some types of 4 4 magic squares.
Srinivasa Ramanujan's magic square The Indian mathematician Srinivasa Ramanujan created a square where - in addition to several groups of four squares - the first row shows his date of birth, Dec. 22nd, 1887.
The result will thus be a semimagic square and not a true magic square.
A method of constructing a magic square of doubly even order Doubly even means that n is an even multiple of an even integer; or 4p (e.g. 4, 8, 12), where p is an integer.
Any magic square can be rotated and reflected to produce 8 trivially distinct squares.
Every normal magic square of order three is obtained from the Lo Shu by rotation or reflection.
For example, a multiplicative magic square has a constant product of numbers.
India The 3×3 magic square has been a part of rituals in India since Vedic times, and still is today.
Other component elements A geometric magic square.
Reg. lat. 1283a), a cura di A.D'Agostino, Napoli, Liguori, 1992 In that text, each magic square is assigned to the respective planet, as in the Islamic literature.
The 1×1 magic square, with only one cell containing the number 1, is trivial.