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A dissection puzzle, also called a transformation puzzle is a tiling puzzle where a solver is given a set of pieces that can be assembled in different ways to produce two or more distinct geometric shapes. The creation of new dissection puzzles is also considered to be a type of dissection puzzle. Puzzles may include various restraints, such as hinged pieces, pieces that can fold, or pieces that can twist. Creators of new dissection puzzles emphasize using a minimum number of pieces, or creating novel situations, such as ensuring that every piece connects to another with a hinge. This page is a candidate for speedy deletion. ...
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History
Dissection puzzles are an early form of geometric puzzle. The earliest known descriptions of dissection puzzles are from the time of Plato (347 BCE - 427 BCE) in Ancient Greece, and involve the challenge of turning two equal squares into one larger square using four pieces. Other ancient dissection puzzles were used as graphic depictions of the Pythagorean theorem. For other uses, see Plato (disambiguation). ...
The Temple to Athena, the Parthenon Ancient Greece is a period in Greek history that lasted for around three thousand years. ...
In mathematics, the Pythagorean theorem or Pythagoras theorem is a relation in Euclidean geometry among the three sides of a right triangle. ...
In the 10th century, Arabic mathematicians used geometric dissections in their commentaries on Euclid's Elements. In the 18th century, Chinese scholar Tai Chen described an elegant dissection for approximating the value of π. As a means of recording the passage of time, the 10th century was that century which lasted from 901 to 1000. ...
The frontispiece of Sir Henry Billingsleys first English version of Euclids Elements, 1570 Euclids Elements (Greek: ) is a mathematical and geometric treatise, consisting of 13 books, written by the Hellenistic mathematician Euclid in Alexandria circa 300 BC. It comprises a collection of definitions, postulates (axioms), propositions (theorems...
(17th century - 18th century - 19th century - more centuries) As a means of recording the passage of time, the 18th century refers to the century that lasted from 1701 through 1800. ...
When a circles diameter is 1, its circumference is π. The mathematical constant π is an irrational real number, approximately equal to 3. ...
The puzzles saw a major increase in general popularity in the late 19th century when newspapers and magazines began running dissection puzzles. Puzzle creators Sam Loyd in the United States and Henry Dudeney in the United Kingdom were among the most published. Since then, dissection puzzles have been used for entertainment and maths education, and creation of complex dissection puzzles is considered an entertaining use of geometric principles by mathematicians and maths students. Alternative meaning: Nineteenth Century (periodical) (18th century — 19th century — 20th century — more centuries) As a means of recording the passage of time, the 19th century was that century which lasted from 1801-1900 in the sense of the Gregorian calendar. ...
Samuel Loyd (January 31, 1841 - April 10, 1911) was an American puzzle author and recreational mathematician. ...
Henry Ernest Dudeney (10 April 1857 – 24 April 1930) was an English author and mathematician who specialised in logic puzzles and mathematical games. ...
Types of dissection puzzle A Tangram puzzle, with its pieces in the rectangular "storage" configuration. Some types of dissection puzzle are intended to create a large number of different geometric shapes. Tangram is a popular dissection puzzle of this type. The seven pieces can be configured into one of a few home shapes, such as the large square and rectangle that the pieces are often stored in, to any number of smaller squares, triangles, parallelograms, or esoteric shapes and figures. Some geometric forms are easy to create, while others present an extreme challenge. This variability has ensured the puzzle's popularity. A typical tangram construction Tangram (Chinese: ; Hanyu Pinyin: ; literally seven boards of cunning) is a Chinese puzzle, and a type of dissection puzzle. ...
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The Haberdasher's Problem, created by Henry Dudeney. Other dissections are intended to move between a pair of geometric shapes, such as a triangle to a square, or a square to a five-pointed star. A dissection puzzle of this description is the Haberdasher's Problem, proposed by in 1907 by Henry Dudeney. The puzzle is a dissection of a triangle to a square, with only three cuts. It is one of the simplest regular polygon to square dissections known, and is now a classic example. Henry Ernest Dudeney (10 April 1857 – 24 April 1930) was an English author and mathematician who specialised in logic puzzles and mathematical games. ...
Henry Ernest Dudeney (10 April 1857 – 24 April 1930) was an English author and mathematician who specialised in logic puzzles and mathematical games. ...
References Oxford University Press (OUP) is a highly-respected publishing house and a department of the University of Oxford in England. ...
The headquarters of the Cambridge University Press, in Trumpington Street, Cambridge. ...
The headquarters of the Cambridge University Press, in Trumpington Street, Cambridge. ...
For the Manfred Mann album, see 2006 (album). ...
August 8 is the 220th day of the year in the Gregorian calendar (221st in leap years), with 145 days remaining. ...
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