Below you will find example sentences with "magic squares". The examples show how this phrase is used in natural context and which words often surround it.
Magic Squares 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: 22.6 words
Sentence profile
- Phrase position: 9 start, 5 middle, 6 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis
- The phrase "magic squares" has 2 words and usually appears near the start in these examples. The average sentence has 22.6 words and is mostly made up of statements.
- Around this phrase, patterns and context words such as 4 4 magic squares, and constructing magic squares from n, order, square and constructing stand out.
- In the phrase index, this combination connects with magic square, black magic, magic square and black magic, linking the page to nearby combinations.
Example types with magic squares
This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:
Certain extra restrictions can be imposed on magic squares. (9 words)
Magic squares may be constructed which contain geometric shapes instead of numbers. (12 words)
He was not, either, the first Westerner to have written on magic squares. (13 words)
The first magic squares of order 5 and 6 appear in an encyclopedia from Baghdad circa 983, the Encyclopedia of the Brethren of Purity (Rasa'il Ihkwan al-Safa); simpler magic squares were known to several earlier Arab mathematicians. (39 words)
Magic squares in popular culture Macau stamps featuring magic squares On October 9, 2014 the post office of Macao in the People's Republic of China issued a series of stamps based on magic squares. (35 words)
Different constraints Sometimes the rules for magic squares are relaxed, so that only the rows and columns but not necessarily the diagonals sum to the magic constant (this is usually called a semimagic square). (34 words)
Example sentences (20)
Magic squares in popular culture Macau stamps featuring magic squares On October 9, 2014 the post office of Macao in the People's Republic of China issued a series of stamps based on magic squares.
Obtaining n-queens solutions from magic squares and constructing magic squares from n-queens solutions.
The first magic squares of order 5 and 6 appear in an encyclopedia from Baghdad circa 983, the Encyclopedia of the Brethren of Purity (Rasa'il Ihkwan al-Safa); simpler magic squares were known to several earlier Arab mathematicians.
Cross-referenced to the above sequence, a new classification enumerates the magic tori that display these magic squares.
Different constraints Sometimes the rules for magic squares are relaxed, so that only the rows and columns but not necessarily the diagonals sum to the magic constant (this is usually called a semimagic square).
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.
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.
Although the early history of magic squares in Persia is not known, it has been suggested that they were known in pre-Islamic times.
Certain extra restrictions can be imposed on magic squares.
Group theory was also used for constructing new magic squares of a given order from one of them.
He was not, either, the first Westerner to have written on magic squares.
In the book Mathematics in the Time-Life Science Library Series, magic squares by Euler and Franklin are shown.
It is clear, however, that the study of magic squares was common in medieval Islam in Persia, and it was thought to have begun after the introduction of chess into the region.
Like the Pythagoreans' perfect numbers, magic squares have passed from superstition into recreation.
Magic squares have a long history, dating back to 650 BC in China.
Magic squares may be constructed which contain geometric shapes instead of numbers.
Magic squares were known to Chinese mathematicians as early as 650 BC, and explicitly given since 570 AD, citation and to Islamic mathematicians possibly as early as the seventh century AD.
Medjig-method of constructing magic squares of even number of rows This method is based on a 2006 published mathematical game called medjig (author: Willem Barink, editor: Philos-Spiele).